{ "cells": [ { "cell_type": "markdown", "id": "fb4d31c3-0ff5-4d07-9747-609ca7bb54ac", "metadata": {}, "source": [ "# 14. MultiFate enables expandable and controllable multistability\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "77817374-ffa5-4411-8a8f-38fff802507a", "metadata": {}, "source": [ "**Design principles**\n", "\n", "- Combinatorial dimerization and positive feedback generate multistability\n", "\n", "**Techniques**\n", "\n", "- Phase portraits\n", "- Calculating separatrices\n", "\n", "**Key Papers**\n", "\n", "- [R. Zhu et al, \"Synthetic multistability in mammalian cells,\" Science, 2022](https://doi.org/10.1126/science.abg9765)\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "fd13e9d1-f4e1-4f57-bf7b-3a4fed932c48", "metadata": {}, "source": [ "
\n", " \n", "This notebook is still very much in draft form.\n", " \n", "
\n", " \n", "
\n", "\n", "This draft notebook requires additional dependencies to run. In particular, you will need to install the package intersection in order to run the notebook fully. You can do this by opening a terminal window and typing\n", "\n", " pip install intersect\n", " \n", "and then reloading this notebook.\n", "
" ] }, { "cell_type": "code", "execution_count": 1, "id": "b5802a27-153c-479a-9022-f0f226523ce9", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
\n", " \n", " Loading BokehJS ...\n", "
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\\n\"+\n", " \"

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\\n\"+\n \"

\\n\"+\n \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n \"

\\n\"+\n \"\\n\"+\n \"\\n\"+\n \"from bokeh.resources import INLINE\\n\"+\n \"output_notebook(resources=INLINE)\\n\"+\n \"\\n\"+\n \"
\"}};\n\n function display_loaded() {\n const el = document.getElementById(\"1002\");\n if (el != null) {\n el.textContent = \"BokehJS is loading...\";\n }\n if (root.Bokeh !== undefined) {\n if (el != null) {\n el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n }\n } else if (Date.now() < root._bokeh_timeout) {\n setTimeout(display_loaded, 100)\n }\n }\n\n\n function run_callbacks() {\n try {\n root._bokeh_onload_callbacks.forEach(function(callback) {\n if (callback != null)\n callback();\n });\n } finally {\n delete root._bokeh_onload_callbacks\n }\n console.debug(\"Bokeh: all callbacks have finished\");\n }\n\n function load_libs(css_urls, js_urls, callback) {\n if (css_urls == null) css_urls = [];\n if (js_urls == null) js_urls = [];\n\n root._bokeh_onload_callbacks.push(callback);\n if (root._bokeh_is_loading > 0) {\n console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n return null;\n }\n if (js_urls == null || js_urls.length === 0) {\n run_callbacks();\n return null;\n }\n console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n function on_load() {\n root._bokeh_is_loading--;\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n run_callbacks()\n }\n }\n\n function on_error(url) {\n console.error(\"failed to load \" + url);\n }\n\n for (let i = 0; i < css_urls.length; i++) {\n const url = css_urls[i];\n const element = document.createElement(\"link\");\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.rel = \"stylesheet\";\n element.type = \"text/css\";\n element.href = url;\n console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n document.body.appendChild(element);\n }\n\n for (let i = 0; i < js_urls.length; i++) {\n const url = js_urls[i];\n const element = document.createElement('script');\n element.onload = on_load;\n element.onerror = on_error.bind(null, url);\n element.async = false;\n element.src = url;\n console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n document.head.appendChild(element);\n }\n };\n\n function inject_raw_css(css) {\n const element = document.createElement(\"style\");\n element.appendChild(document.createTextNode(css));\n document.body.appendChild(element);\n }\n\n \n const js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-gl-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.4.2.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-mathjax-2.4.2.min.js\"];\n const css_urls = [];\n \n\n const inline_js = [\n function(Bokeh) {\n Bokeh.set_log_level(\"info\");\n },\n function(Bokeh) {\n \n \n }\n ];\n\n function run_inline_js() {\n \n if (root.Bokeh !== undefined || force === true) {\n \n for (let i = 0; i < inline_js.length; i++) {\n inline_js[i].call(root, root.Bokeh);\n }\n if (force === true) {\n display_loaded();\n }} else if (Date.now() < root._bokeh_timeout) {\n setTimeout(run_inline_js, 100);\n } else if (!root._bokeh_failed_load) {\n console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n root._bokeh_failed_load = true;\n } else if (force !== true) {\n const cell = $(document.getElementById(\"1002\")).parents('.cell').data().cell;\n cell.output_area.append_execute_result(NB_LOAD_WARNING)\n }\n\n }\n\n if (root._bokeh_is_loading === 0) {\n console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n run_inline_js();\n } else {\n load_libs(css_urls, js_urls, function() {\n console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n run_inline_js();\n });\n }\n}(window));" }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Colab setup ------------------\n", "import os, sys, subprocess\n", "if \"google.colab\" in sys.modules:\n", " cmd = \"pip install --upgrade biocircuits intersect watermark\"\n", " process = subprocess.Popen(cmd.split(), stdout=subprocess.PIPE, stderr=subprocess.PIPE)\n", " stdout, stderr = process.communicate()\n", " data_path = \"https://biocircuits.github.io/chapters/data/\"\n", "else:\n", " data_path = \"data/\"\n", "# ------------------------------\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import scipy.integrate\n", "import scipy.optimize\n", "\n", "import biocircuits\n", "import biocircuits.jsplots\n", "\n", "import bokeh.io\n", "import bokeh.layouts\n", "import bokeh.models\n", "import bokeh.plotting\n", "\n", "import colorcet\n", "\n", "from skimage import measure\n", "\n", "# Third-party package for finding fixed points.\n", "# https://github.com/sukhbinder/intersection\n", "from intersect import intersection\n", "\n", "# Set to True to have fully interactive plots with Python;\n", "# Set to False to use pre-built JavaScript-based plots\n", "interactive_python_plots = False\n", "notebook_url = \"localhost:8888\"\n", "\n", "from bokeh.util.warnings import BokehUserWarning\n", "import warnings\n", "warnings.simplefilter(action='ignore', category=BokehUserWarning)\n", "\n", "bokeh.io.output_notebook()" ] }, { "cell_type": "markdown", "id": "c345a7d7-a8e3-4721-9897-554d754fb39f", "metadata": { "tags": [] }, "source": [ "## Multicellular organisms rely on a repertoire of cell states\n", "\n", "The cells in our bodies exist in thousands of different states, differing in morphology, functional capabilities, gene expression, and other features. This multitude of cell states is generated through the astonishing process of multicellular development. As the embryo develops, cells generally commit themselves and their descendants to ever more specific cell fates: initially they decide among the germ layers—endoderm, ectoderm, and mesoderm. Later on, they will further commit to more various tissue and organ-specific cell types. \n", "\n", "The late 2010s and early 2020s have witnessed a revolution in our understanding of cell states. Single cell \"omics\" techniques like single-cell RNA sequencing (scRNAseq) have revealed the molecular states of individual cells, allowing the creation of [\"cell atlases\" of entire adult organisms](https://doi.org/10.1038/s41586-018-0590-4). [Spatial transcriptomics](https://doi.org/10.1038/s41586-021-03634-9) approaches have further shown where cells in those states are located within [complex spatially organized tissues](https://doi.org/10.1038/s41587-021-01006-2). Furthermore, emerging [molecular recording techniques](https://doi.org/10.1016/j.devcel.2020.10.021) such as GESTALT, MEMOIR, and others are beginning to reveal the lineage relationships of individual cells, revealing how cells reached their fates. As a result, we have begun to learn what states exist, where they are located, and how they arose.\n", "\n", "\n", "\n", "
\n", "\n", "![scRNAseq-spatial_transcriptomics-lineage_recording](figs/scRNAseq-spatial_transcriptomics-lineage_recording.jpg)\n", "\n", "
\n", "\n" ] }, { "cell_type": "markdown", "id": "5531a47d-3438-4f48-82c7-815c5b4a5e33", "metadata": { "tags": [] }, "source": [ "In parallel with these developments, in order to treat disease, the fields of stem cell biology and regenerative medicine have identified procedures that direct stem cells to differentiate into desired cell fates. One strategy is to recapitulate in a cell culture dish the signals that cells are likely to receive in the embryo as they differentiate into the fate of interest. This involves stimulating or inhibiting fate-controlling signaling pathways such as Notch, Wnt, Sonic hedgehog, FGF, EGF, BMP (which we covered in a previous chapter) and others, in specific sequences. A sense of the power and breadth of these approaches can be gleaned from this wall chart, published by Cell in 2012. Since then, these approaches have continued to become ever more powerful. \n", "\n", "
\n", " \n", "![Cell_directed_differentiation](figs/Cell_directed_differentiation.jpg)\n", "\n", "
\n", "\n", "\n", "As a result, we now know, more than ever before, what cell types are out there and how to obtain them. Nevertheless, it has remained challenging to understand the cell fate control circuits that makes all of these incredible behaviors possible. More specifically, what architectures do those circuits use, how do they determine the repertoire of cell state that can exist in an organism? How do they control which states can differentiate to which others? And so on. In short, how do circuits specify what states can exist and how they can be controlled?\n", "\n", "Much of our thinking has been guided by an evocative and iconic illustration from Conrad Waddington's 1957 book, _The Strategy of the Genes_. \n", "\n", "\n", "
\n", "\n", "![Waddington's Landscape](figs/WaddingtonLandscape.png)\n", "\n", "
\n", "\n", "\n", "This drawing provides a wonderful intuitive metaphor for the way in which a cell, figuratively represented by a marble, might progressively commit to ever more specific cell states, by rolling deeper and deeper into alternative valleys from which is cannot easily emerge, until it eventually comes to rest in a terminally differentiated state. In the right-hand illustration, Waddington further imagined how underlying genes might control the shape of this landscape, influencing which valleys the marble is more or less likely to fall into. He represented this idea abstractly with genes (black rectangles) attached to the landscape controlling the shape of the landscape via wires (black lines). However, while these drawings are intuitively appealing and conceptually useful, they do not by themselves explain how circuits of interacting molecuels could establish and control cell fate decision-making within an organism.\n", " \n", "One way to address this questions is by identifying the genes that specify natural cell fates and working out the ways in which they interact with one another to control cell fates. Such approaches have provided critical insights into many cell fate control systems, such as the pluripotency system that maintains embryonic stem cells in a unique 'pluripotent' state with the potential to differentiate into almost any cell type in the organism. A complementary approach is to try to design and build a synthetic cell fate control system \"from scratch\" and to see what lessons that reveals about what types of circuits are sufficient to enable such complexity. In this chapter, we will explore this latter approach.\n", "\n", "To see what we are up against in engineering a synthetic cell fate control system, consider some of the many capabilities it should, ideally, possess:\n", "\n", "* **Multistability**. The ideal system should be able to put cells into multiple distinct, and stable, cell states.\n", "* **Progressive commitment**. the system should also recapitulate the ubiquitous property of increasingly specific cell fate specification observed in so many contexts.\n", "* **Reprogramming**. In 2006 Takahashi and Yamanaka reported the ability to reprogram a fully differentiated cell back into an embryonic stem cell. This \"rebooting\" of the cell is also something a synthetic system should be able to achieve.\n", "* **Expandability**. During evolution, increases in organismal complexity coincided with concomitant increases in the number of different cell types in the organism. Natural cell fate control systems thus have the capacity to expand to accomodate more and more states. In the synthetic case, a similar property would enable one to expand the capacity of an engineered circuit to acheive ever more complex multicellular behaviors. \n", "\n", "These features are illustrated here:\n", "\n", "
\n", "\n", "![MultiFate_features](figs/MultiFate_features.png)\n", "\n", "
\n", "\n", "Can you ever imagine engineering a synthetic differentiation circuit that could rival the complexity of the complex multicellular organisms we see in nature? How would you design it? " ] }, { "cell_type": "markdown", "id": "5460e16e-dd3f-4365-93a5-59604c46a81c", "metadata": { "tags": [] }, "source": [ "## Circuit architectures for cell differentiation\n", "\n", "To begin to explore how these capabilities emerge from underlying circuits, we will shift from Waddington's metaphorical diagram to a more directly applicable dynamical systems perspective. \n", "\n", "We imagine each cell state as a stable attractor in a phase space of concentrations of transcription factors or other regulators. This representation is more general and does not require an overall \"slope\" down which the marble will roll. \n", "\n", "Within this general framework, the ideal circuit should:\n", "\n", "1. Allow external inputs to switch cells between states.\n", "2. Enable progressive commitment and reprogramming.\n", "3. Expand to generate more states with additional genes.\n", "\n", "This last feature—expandability—means that one could scale up the circuit by adding to it, e.g. incorporating additional genes, without re-engineering existing circuitry. It is important if we want the system to be able to scale to produce complex tissues or organisms with many states. \n", "\n", "These features are diagrammed schematically here:\n", "\n", "
\n", "\n", "![Ideal features of a synthetic differentiation circuit](figs/MultiFate_Ideals_Schematic.png)\n", "\n", "
\n", "\n", "The first multistable circuit that may come to mind is the classic two component toggle switch, which we analyzed in Chapter 3. In principle, this circuit might be extended by incorporating many transcription factors that all repress one another. However, this would be difficult to achieve. With $N$ transcription factors, the promoter controlling each repressor gene would have to be repressed by $N-1$ repressors. This could become impractical given the limited available space in a promoter for effective repression. More fundamentally, however, it does not expand easily: incrememting the system from $N$ to $N+1$ repressors would require adding binding sites for the new repressor to all of the $N$ existing repressors. \n", "\n", "Before reading further, take a moment to think about what kind of architecture you might use to create a cell fate control system providing the features above." ] }, { "cell_type": "markdown", "id": "c464c05d-3dbe-4655-9004-9bc9726785f4", "metadata": {}, "source": [ "## Inspiration: natural circuits use combinatorial dimerization and positive autoregulation\n", "\n", "Inspiration for the design of a synthetic cell fate control system can come from looking at what is known about natural cell fate control systems. Zhu et al. ([2022, Science](https://doi.org/10.1126/science.abg9765)) noticed that many natural fate control systems share two critical features: \n", "\n", "First, they are based on sets of transcription factors that combinatorially dimerize to form many possible complexes. (This is reminescent of the combinatorial complex formation explored in the previous chapter on BMP.) Certain dimers activate downstream genes, whie others may be inactive. Formation of inactive complexes sequesters certain transcription factors, preventing them from forming alternative, active dimers with other proteins. This is analogous to the molecular titration motif we analyzed in Chapter 12. \n", "\n", "Second, these circuits contain positive autoregulatory feedback loops, in which transcription factor dimers activate expression of one or more of their own constituents. \n", "\n", "For example, in the circuit controlling muscle cell differentiation, the master transcription factor MyoD can dimerize with Id or E47. The MyoD-Id dimer is inactive. But te MyoD-E47 dimer transcriptionall activates many genes involved in myogenesis, including MyoD itself. Similarly, embryonic stem cells can remain in a \"pluripotent\" state in which they have the potential to differentiate into virtually all cell types in the embryo. The circuit that controls this state includes the key transcription factor Oct4, which can dimerize with either Sox2 or Sox17. Sox2-Oct4 and Sox17-Oct4 respectively activate expression of Sox2 and Sox17, generating autoregulation. \n", "\n", "
\n", "\n", "![Natural differentiation circuits exhibit molecular titration](figs/MultiFate_NaturalCircuits.png)\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "d54ec7cb-803c-4c04-9bc4-db01afdc5b24", "metadata": {}, "source": [ "## MultiFate: a naturally inspired synthetic cell fate control circuit\n", "\n", "Intrigued and inspired by these architectures, Zhu et al. desigend a circuit called MultiFate, which incorporates the two themes of combinatorial dimerizaton among a set of transcription factors and positive autoregulation. We will see that the MultiFate architecture can generate multistability and the other features enough, but is simple enough to be constructed and analyzed synthetically within cells.\n", "\n", "We will start by analzying a minimal version of the MultiFate architecture, termed MultiFate-2, comprising just two transcription factors, which we label A and B. A and B can each form homodimers. They can also heterodimerize with one another. The homodimers positively activate their own gene, while heterodimers are inactive. The reason that homodimers can activate their own genes, while the corresponding monomers cannot is that the DNA binding site for the dimer is effectively double the length of that of the monomer, providing approximately twice the binding energy. \n", "\n", "The schematic drawing below explains the structure of MultiFate-2.\n", "\n", "
\n", "\n", "![MultiFate-2 Schematic](figs/MultiFate-2.png)\n", "\n", "
\n" ] }, { "cell_type": "markdown", "id": "7b18494a-f68c-4742-916b-5fce824db592", "metadata": {}, "source": [ "## A two-dimensional model of MultiFate dynamics \n", "\n", "How many states can this architecture generate? Can it be expanded? And what other dynamic properties does it possess? To find out, we will apply the approaches developed previously with additional phase plane analysis. \n", "\n", "To begin, we will define a few variables. The A and B transcription factors can each exist either in monomeric, homodimeric, or heterodimeric form. We will represent their concentrations by the variables $[A]$ (or $[B]$), $[A_2]$ (or $[B_2]$), and $[AB]$, respectively.\n", "\n", "Transcription factors can interconvert between these forms via the binding reactions:\n", "\n", "\\begin{align}\n", "& A + A \\rightleftharpoons A_2 \\\\\n", "& A + B \\rightleftharpoons AB \\\\\n", "& B + B \\rightleftharpoons B_2.\n", "\\end{align}\n", "\n", "All of the binding reactions, whether they lead to homodimers or heterodimers, occur through the same type of protein-protein interaction mediated by a single engineered homodimerization motif that is incorporated in both of the synthetic transcription factors. The homodimerization reactions will therefore share a single equilibrium binding constant $K_d$. The factor of 2 that appears in the heterodimerization reaction is a correction factor to account for the fact that the same heterodimer can form in two different ways (A+B and B+A). It prevents double-counting. \n", "\n", "When we set these binding reactions to equilibrium, we have\n", "\n", "\\begin{align}\n", "& [A_2] = [A]^2/K_d \\\\\n", "& [B_2] = [B]^2/K_d \\\\\n", "& [AB] = 2[A][B]/K_d.\n", "\\end{align}\n", "\n", "We will now apply separation of timescales, making the quasi-steady-state assumption that the binding reactions are approximately at equilibrium over the timescales over which the total concentrations, $[A_{\\mathrm{tot}}] = [A] + [AB] + 2[A_2]$, change due to their production and removal. We can then write down a set of ODEs that describe the slower timescale dynamics, incorporating positive autoregulation by the homodimers:\n", "\n", "\\begin{align}\n", "& \\frac{\\mathrm{d}[A_{\\mathrm{tot}}]}{\\mathrm{d}t} = \\alpha + \\frac{\\beta [A_2]^n}{K_M^n + [A_2]^n} - \\delta [A_{\\mathrm{tot}}] \\\\\n", "& \\frac{\\mathrm{d}[B_{\\mathrm{tot}}]}{\\mathrm{d}t} = \\alpha + \\frac{\\beta [B_2]^n}{K_M^n + [B_2]^n} - \\delta [B_{\\mathrm{tot}}] \n", "\\end{align}\n", "\n", "\n", "Finally, we note that binding and unbinding reactions conserve mass:\n", "\n", "\\begin{align}\n", "& [A_{\\mathrm{tot}}] = [A] + 2 [A_2] + [AB] \\\\\n", "& [B_{\\mathrm{tot}}] = [B] + 2 [B_2] + [AB] \n", "\\end{align}\n" ] }, { "cell_type": "markdown", "id": "c8e2c8fc-00f2-48fd-87df-0baefc24f783", "metadata": {}, "source": [ "### Conservation of mass reduces the model to two dimensions\n", "\n", "These equations make a few choices and assumptions. First, we chose to use $[A_{\\mathrm{tot}}]$ and $[B_{\\mathrm{tot}}]$ as the dynamical variables appearing in the $d/dt$ terms on the left hand side. This decision will simplify the analysis below, and is reasonable because it is these \"total\" concentrations that vary over the slower timescsales we will be interested in. Second, we represented transcriptional regulation using a leaky Hill function regulated by the homodimeric form of the transcription factor, with leak term $\\alpha$ and half-activation constant $K_M$. The inclusion of this basal transcription is important for allowing the system to self-activate and avoiding a potential stable state in which both factors are off. (Such a state would be difficult to \"read out\" but could be physiologically useful in some contexts.) Finally, we assumed that removal of the two proteins occurs at the same rate regardless of whether they are in a monomeric or dimeric form, leading to the removal terms $\\delta [A_{\\mathrm{tot}}]$ and $\\delta [B_{\\mathrm{tot}}]$.\n", "\n", "How many steady states can this circuit generate? And how does the answer depend on its parameters? To find out, we will solve for the steady states by setting the time derivatives to zero. Our two ODEs contain four variables: $[A_{\\mathrm{tot}}], [B_{\\mathrm{tot}}], [A_2], [B_2]$. To make this solvable (2 equations with 2 unknowns) we need to eliminate two of these variables. Using the equilibrium binding relations we obtained above, alongside the conservation of mass expressions, we can obtain an expression that represents $[A_2]$ and $[B_2]$ as a function of $[A_{\\mathrm{tot}}]$ and $[B_{\\mathrm{tot}}]$.\n", "\n", "We accomplish this by the following procedure:\n", "\n", "1. Rewrite the equilibrium binding relations so that everything is a function of the homodimer concentrations, i.e. \\begin{align}&[A] = \\sqrt{K_d[A_2]} \\\\ &[AB] = 2[A][B]/K_d = 2\\sqrt{[A_2][B_2]}\\end{align}\n", "2. Substitute these expressions into the conservation law to obtain an equation relating the total concentrations to the homodimer concentrations only.\n", "3. Rearrange the terms and solve the resulting system of equations to obtain expressions for the homodimer concentrations as a function of just the total concentrations.\n", "\n", "Following the above process, we obtain\n", "\\begin{align}\n", "& [A_2] = \\frac{2 [A_{\\mathrm{tot}}]^2}{K_d + 4\\left([A_{\\mathrm{tot}}] + [B_{\\mathrm{tot}}]\\right) + \\sqrt{K_d^2 + 8\\left([A_{\\mathrm{tot}}] + [B_{\\mathrm{tot}}]\\right)K_d}} \\\\\n", "& [B_2] = \\frac{2 [B_{\\mathrm{tot}}]^2}{K_d + 4\\left([A_{\\mathrm{tot}}] + [B_{\\mathrm{tot}}]\\right) + \\sqrt{K_d^2 + 8\\left([A_{\\mathrm{tot}}] + [B_{\\mathrm{tot}}]\\right)K_d}}.\n", "\\end{align}\n", "\n", "If we substitute these expression back into our ODEs, then we now have a closed-form system where the rate of change of $[A_{\\mathrm{tot}}]$ and $[B_{\\mathrm{tot}}]$ are written as functions of only themselves." ] }, { "cell_type": "markdown", "id": "a19176f7-2ba9-496c-b62e-8c08b2029b2b", "metadata": {}, "source": [ "### Nondimensionalizing further simplifies the MultiFate model\n", "\n", "Since the above expressions contain many parameters, it will be useful to nondimensionalize the system. We can make the substitutions\n", "\n", "\\begin{align}\n", "\\tilde{t} &\\leftarrow t\\delta \\\\\n", "\\tilde{[A_{tot}]} &\\leftarrow [A_{tot}]/K_M \\\\\n", "\\tilde{[B_{tot}]} &\\leftarrow [B_{tot}]/K_M \\\\\n", "\\tilde{[A_2]} &\\leftarrow [A_2]/K_M \\\\\n", "\\tilde{[B_2]} &\\leftarrow [B_2]/K_M \\\\\n", "\\tilde{\\alpha} &\\leftarrow \\alpha/(K_M \\delta) \\\\\n", "\\tilde{\\beta} &\\leftarrow \\beta/(K_M \\delta) \\\\\n", "\\tilde{K_d} &\\leftarrow K_d/K_M\n", "\\end{align}\n", "\n", "and then, dropping the tildes for notational convenience, arrive at a set of nondimensionalized equations:\n", "\n", "\\begin{align}\n", "\\frac{\\mathrm{d}[A_{tot}]}{\\mathrm{d}t} &= \\alpha + \\frac{\\beta [A_2]^n}{1 + [A_2]^n} - [A_{tot}] \\\\\n", "\\frac{\\mathrm{d}[B_{tot}]}{\\mathrm{d}t} &= \\alpha + \\frac{\\beta [B_2]^n}{1 + [B_2]^n} - [B_{tot}] \\\\\n", "[A_2] &= \\frac{2[A_{tot}]^2}{K_d + 4\\left( [A_{tot}] + [B_{tot}]\\right) + \\sqrt{K_d^2 + 8\\left([A_{tot}] + [B_{tot}]\\right)K_d}} \\\\\n", "[B_2] &= \\frac{2[B_{tot}]^2}{K_d + 4\\left( [A_{tot}] + [B_{tot}]\\right) + \\sqrt{K_d^2 + 8\\left([A_{tot}] + [B_{tot}]\\right)K_d}} \n", "\\end{align}" ] }, { "cell_type": "markdown", "id": "ca144723-39a8-47ed-9479-f95a5b6a608c", "metadata": {}, "source": [ "## The MultiFate Phase portrait\n", "\n", "### Calculating nullclines\n", "\n", "Plotting nullclines can be used to identify steady states and provide insight into the structure of a dynamical system. Even better, we can make the nullcline plot interactive, allowing us to see directly how different features depend on biochemical parameters. Recall from our analysis of the Toggle Switch in Chapter 3 that for a two-dimensional ODE system there will be two nullclines, one corresponding to all of the points in the plane where $\\mathrm{d}[A_{tot}]/\\mathrm{d}t = 0$, and one corresponding to all of the points in the plane where $\\mathrm{d}[B_{tot}]/\\mathrm{d}t = 0$. When the nullclines intersect, both ODEs are equal to zero and the system is at a fixed point.\n", "\n", "The functional forms of the ODEs are complex, making it difficult to obtain a closed-form analytical expression for the nullclines. Instead, we will use numerical methods. Specifically, in order to find the $\\mathrm{d}[A_{tot}]/\\mathrm{d}t$ nullcline we will calculate the value of $\\mathrm{d}[A_{tot}]/\\mathrm{d}t$ across a grid of points in the plane, and then use the `find_countours` function from the `scikit-measure` package to find the points where $\\mathrm{d}[A_{tot}]/\\mathrm{d}t$ takes a particular value (in this case, zero). The same procedure can be used to find theh $\\mathrm{d}[B_{tot}]/\\mathrm{d}t$ nullcline. This is way of doing it represents a kind of hack—its accuracy is limited—but it is convenient and can work in many situations. \n", "\n", "The result can be seen in the interactive plot below. (Note that because this contour-finding method is not fast, the sliders on the plot are throttled so that the plot only updates when you let go of the mouse button as you move the slider.)" ] }, { "cell_type": "code", "execution_count": 2, "id": "0043af33-8d91-4a32-9253-49c3071efdc7", "metadata": {}, "outputs": [], "source": [ "class BSParams(object):\n", " \"\"\"\n", " Container for parameters for homodimeric bistable circuits.\n", " Includes asymmetry parameters r, m, kappa, gamma.\n", " \"\"\"\n", " def __init__(self, **kwargs):\n", " # Dimensionless parameters\n", " self.alpha = 0.1*2 # leakiness\n", " self.beta = 10*2 # Maximal production\n", " self.Kd = 1 # Dissociation constant of dimers\n", " self.n = 1.5 # Additional cooperativity of transcriptional activation\n", " self.r = 1 # Leakiness ratio\n", " self.m = 1 # A and B copy number ratio\n", " self.kappa = 1 # Ratio of A and B's binding affinity with DNA\n", " self.gamma = 1 # Ratio of stability between A and B\n", "\n", " # Put in params that were specified in input\n", " for entry in kwargs:\n", " setattr(self, entry, kwargs[entry])\n", "\n", "def df_dt(y, t, p):\n", " \"\"\"\n", " ODE of A and B based on parameters p.\n", " Includes asymmetry parameters r, m, kappa, gamma\n", " \"\"\"\n", " Atot, Btot = y\n", " A2 = 2*Atot**2 / (p.Kd + 4*(Atot+Btot) + np.sqrt(p.Kd**2 + 8 * (Atot+Btot) * p.Kd))\n", " B2 = 2*Btot**2 / (p.Kd + 4*(Atot+Btot) + np.sqrt(p.Kd**2 + 8 * (Atot+Btot) * p.Kd))\n", " \n", " return [p.alpha + p.beta * A2**p.n / (1**p.n + A2**p.n) - Atot,\n", " p.alpha + p.beta * B2**p.n / (1**p.n + B2**p.n) - Btot]\n", "\n", "def get_nullclines(params):\n", " \"\"\"\n", " Calculate nullclines for Atot and Btot based on parameters.\n", " Includes asymmetry parameters r, m, kappa, gamma\n", " \"\"\"\n", " density = 1000\n", " rangescale = 1.5\n", "\n", " Amin = params.alpha*0.01\n", " Amax = rangescale*params.beta\n", " Bmin = params.r*params.alpha*0.01\n", " Bmax = rangescale*params.m*params.beta\n", " \n", " A_vals = np.linspace(Amin, Amax, density)\n", " B_vals = np.linspace(Bmin, Bmax, density)\n", " \n", " dAdt_vals = np.zeros((len(A_vals), len(B_vals)))\n", " dBdt_vals = np.zeros((len(A_vals), len(B_vals)))\n", " \n", " AA, BB = np.meshgrid(A_vals, B_vals)\n", " \n", " # dummy time variable\n", " t = np.linspace(0,100,10)\n", " \n", " dAdt_vals, dBdt_vals = df_dt([AA, BB], t, params)\n", " \n", " Anull_inds = measure.find_contours(dAdt_vals, 0)\n", " Bnull_inds = measure.find_contours(dBdt_vals, 0)\n", " \n", " assert len(Anull_inds) == 1\n", " assert len(Bnull_inds) == 1\n", " \n", " Anull_inds = Anull_inds[0]\n", " Bnull_inds = Bnull_inds[0]\n", " \n", " A_nullcline = np.empty((len(Anull_inds), 2))\n", " A_nullcline[:,0] = A_vals[[int(Anull_inds[i,0]) for i in range(len(Anull_inds))]]\n", " A_nullcline[:,1] = Amin + (Amax-Amin)*Anull_inds[:,1]/density\n", " \n", " B_nullcline = np.empty((len(Bnull_inds), 2))\n", " B_nullcline[:,0] = Bmin + (Bmax-Bmin)*Bnull_inds[:,0]/density\n", " B_nullcline[:,1] = B_vals[[int(Bnull_inds[i,1]) for i in range(len(Bnull_inds))]]\n", " \n", " return A_nullcline, B_nullcline\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "31f56184-e208-4da0-ac9e-3c98d431cc33", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]},\"Anull_Bvals\":{\"__ndarray__\":\"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Application\",\"version\":\"2.4.2\"}};\n", " const render_items = [{\"docid\":\"e5f72245-e5ba-4448-a6e7-b0e22f4950b2\",\"root_ids\":[\"1005\"],\"roots\":{\"1005\":\"e784f475-c278-49d8-948a-5bc9d763546c\"}}];\n", " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", "\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "1005" } }, "output_type": "display_data" } ], "source": [ "# initial plotting\n", "params = BSParams()\n", "params.alpha = 0.2\n", "params.beta = 15\n", "params.Kd = 1\n", "params.n = 1\n", "params.r = 1\n", "params.m = 1\n", "params.kappa = 1\n", "params.gamma = 1\n", "\n", "A_nullcline, B_nullcline = get_nullclines(params)\n", "\n", "cdsA = bokeh.models.ColumnDataSource(dict(Anull_Avals=A_nullcline[:,0], Anull_Bvals=A_nullcline[:,1]))\n", "cdsB = bokeh.models.ColumnDataSource(dict(Bnull_Avals=B_nullcline[:,0], Bnull_Bvals=B_nullcline[:,1]))\n", "\n", "# Build the plot\n", "p = bokeh.plotting.figure(\n", " frame_height=300,\n", " frame_width=300,\n", " x_axis_label=\"dimensionless A_tot\",\n", " y_axis_label=\"dimensionless B_tot\",\n", ")\n", "p.line(source=cdsA, x=\"Anull_Avals\", y=\"Anull_Bvals\", line_width=2, legend_label='A_tot nullcline')\n", "p.line(source=cdsB, x=\"Bnull_Avals\", y=\"Bnull_Bvals\", line_width=2, color='orange', legend_label='B_tot nullcline')\n", "\n", "alpha_slider = bokeh.models.Slider(\n", " title=\"alpha\", start=0.1, end=0.5, step=0.1, value=0.2, width=150\n", ")\n", "beta_slider = bokeh.models.Slider(\n", " title=\"beta\", start=0.5, end=17, step=0.1, value=15, width=150\n", ")\n", "Kd_slider = bokeh.models.Slider(\n", " title=\"Kd\", start=0.5, end=10, step=0.1, value=1, width=150\n", ")\n", "n_slider = bokeh.models.Slider(\n", " title=\"n\", start=0.5, end=3, step=0.1, value=1, width=150\n", ")\n", "r_slider = bokeh.models.Slider(\n", " title=\"r\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "m_slider = bokeh.models.Slider(\n", " title=\"m\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "kappa_slider = bokeh.models.Slider(\n", " title=\"kappa\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "gamma_slider = bokeh.models.Slider(\n", " title=\"gamma\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "\n", "def callback(attr, old, new):\n", " \n", " params = BSParams()\n", " params.alpha = alpha_slider.value\n", " params.beta = beta_slider.value\n", " params.Kd = Kd_slider.value\n", " params.n = n_slider.value\n", " params.r = r_slider.value\n", " params.m = m_slider.value\n", " params.kappa = kappa_slider.value\n", " params.gamma = gamma_slider.value\n", " \n", " Anull, Bnull = get_nullclines(params)\n", " cdsA.data[\"Anull_Avals\"] = Anull[:,0]\n", " cdsA.data[\"Anull_Bvals\"] = Anull[:,1]\n", " cdsB.data[\"Bnull_Avals\"] = Bnull[:,0]\n", " cdsB.data[\"Bnull_Bvals\"] = Bnull[:,1]\n", " \n", "alpha_slider.on_change(\"value_throttled\", callback)\n", "beta_slider.on_change(\"value_throttled\", callback)\n", "Kd_slider.on_change(\"value_throttled\", callback)\n", "n_slider.on_change(\"value_throttled\", callback)\n", "r_slider.on_change(\"value_throttled\", callback)\n", "m_slider.on_change(\"value_throttled\", callback)\n", "kappa_slider.on_change(\"value_throttled\", callback)\n", "gamma_slider.on_change(\"value_throttled\", callback)\n", "\n", "layout = bokeh.layouts.row(\n", " p, bokeh.models.Spacer(width=30), bokeh.layouts.column(alpha_slider, beta_slider, Kd_slider, n_slider,\n", "# r_slider, m_slider, kappa_slider, gamma_slider\n", " )\n", ")\n", "\n", "def app(doc):\n", " doc.add_root(layout)\n", "\n", "if interactive_python_plots:\n", " bokeh.io.show(app, notebook_url=notebook_url)\n", "else:\n", " bokeh.io.show(p)" ] }, { "cell_type": "markdown", "id": "395e87ce-0347-4d26-8d27-f780c70f00eb", "metadata": {}, "source": [ "### Determining the stability of the fixed points\n", "\n", "With the default parameters in the plot, you can count five nullcline intersections, or fixed points. For a cell fate control system we are interested in those that are stable. To determine their stability we return to Linear Stability Analysis (see Chapter 9). \n", "\n", "Recall that to determine stability we evaluate the Jacobian matrix of partial derivatives, $J$, at the fixed point of interest $(x_0, y_0)$: \n", "\n", "\\begin{align}\n", "J(x_0, y_0) = \\left.\\begin{bmatrix}J_{0,0} & J_{0,1} \\\\ J_{1,0} & J_{1,1} \\end{bmatrix} \\right|_{(x_0, y_0)} = \\left.\\begin{bmatrix}\\frac{\\partial f(x,y)}{\\partial x} & \\frac{\\partial f(x,y)}{\\partial y} \\\\ \\frac{\\partial g(x,y)}{\\partial x} & \\frac{\\partial g(x,y)}{\\partial y} \\end{bmatrix} \\right|_{(x_0, y_0)}\n", "\\end{align}\n", "\n", "for $f(x,y) = \\mathrm{d}[A_{tot}]/\\mathrm{d}t$ and $g(x,y) = \\mathrm{d}[B_{tot}]/\\mathrm{d}t$, where we have substituted $[A_{tot}]$ and $[B_{tot}]$ with $x$ and $y$, respectively, for notational convenience." ] }, { "cell_type": "markdown", "id": "a8a3a810-76fc-4be2-ae2b-f8941433b6f5", "metadata": {}, "source": [ "In order to find the locations of these fixed points, we can once again turn to numerical approaches— in this case, we will use the `intersect` package developed by [Sukhbinder Singh](https://github.com/sukhbinder/intersection/tree/master/intersect), which identifies the intersection points of two curves.\n", "\n", "Once we find a given intersection $(x_0, y_0)$, we know it is a fixed point so we can proceed to evaluating the Jacobian matrix at that point. However, the functions $f(x,y)$ and $g(x,y)$ have complicated functional forms. Since we are using these derivatives in the context of an otherwise fully numerical analysis of the system, we can take advantage of a symbolic mathematical calculator to determine closed-form expressions for these derivatives: \n", "\n", "\n", "\n", "\\begin{align}\n", "&J_{0,0} = -1 - \\beta \\left(1 + \\left(\\frac{K_d + 4(x_0 + y_0) + Q}{2x_0^2}\\right)^n\\right)^{-2} n \\left(\\frac{K_d + 4(x_0 + y_0) + Q}{2x_0^2}\\right)^{n-1} \\left(\\frac{x_0 \\left(4 + \\frac{4K_d}{Q}\\right) - 2(K_d + 4(x_0 + y_0) + Q)}{2x_0^3} \\right) \\\\\n", "&J_{0,1} = - \\beta \\left(1 + \\left(\\frac{K_d + 4(x_0 + y_0) + Q}{2x_0^2}\\right)^n\\right)^{-2} n \\left(\\frac{K_d + 4(x_0 + y_0) + Q}{2x_0^2}\\right)^{n-1}\\left(\\frac{4 + \\frac{4K_d}{Q} }{2x_0^2} \\right) \\\\\n", "&J_{1,0} = - \\beta \\left(1 + \\left( \\frac{K_d + 4(x_0 + y_0) + Q}{2y_0^2}\\right)^n\\right)^{-2}n \\left(\\frac{K_d + 4(x_0 + y_0) + Q}{2y_0^2}\\right)^{n-1}\\left(\\frac{4 + \\frac{4K_d}{Q} }{2y_0^2} \\right) \\\\\n", "&J_{1,1} = -1 - \\beta \\left(1 + \\left( \\frac{K_d + 4(x_0 + y_0) + Q}{2y_0^2}\\right)^n\\right)^{-2}n \\left(\\frac{K_d + 4(x_0 + y_0) + Q}{2y_0^2}\\right)^{n-1} \\left( \\frac{y_0 \\left(4 + \\frac{4K_d}{Q}\\right) -2 (K_d + 4(x_0 + y_0) + Q)}{2y_0^3} \\right),\n", "\\end{align}\n", "\n", "where\n", "\n", "\\begin{align}\n", "Q \\equiv \\sqrt{K_d^2 + 8(x_0 + y_0) + K_d}.\n", "\\end{align}\n", "\n", "\n", "\n", "Let's now overlay an indicator of fixed point stability over the nullcline plots that we made." ] }, { "cell_type": "code", "execution_count": 4, "id": "ba0bd31d-846a-411b-ab96-aae47f5c8811", "metadata": {}, "outputs": [], "source": [ "# Code to calcaulte the jacobian symbolically each time to confirm\n", "# the above equations are correct\n", "\n", "# def symbolic_jacobian(v_str, f_list):\n", "# varss = sym.symbols(v_str)\n", "# f = sym.sympify(f_list)\n", "# J = sym.zeros(len(f),len(varss))\n", "# for i, fi in enumerate(f):\n", "# for j, s in enumerate(varss):\n", "# J[i,j] = sym.diff(fi, s)\n", "# return J\n", "\n", "# def get_jacobian_func(p):\n", "# v_str = 'Atot Btot'\n", " \n", "# A2 = f'(2*Atot**2 / ({p.Kd} + 4*(Atot+Btot) + sqrt({p.Kd}**2 + 8 * (Atot+Btot) * {p.Kd})))'\n", "# B2 = f'(2*Btot**2 / ({p.Kd} + 4*(Atot+Btot) + sqrt({p.Kd}**2 + 8 * (Atot+Btot) * {p.Kd})))'\n", "# f_list = [f'{p.alpha} + {p.beta}*{A2}**{p.n} / (1**{p.n} + {A2}**{p.n}) - Atot',\n", "# f'{p.alpha} + {p.beta}*{B2}**{p.n} / (1**{p.n} + {B2}**{p.n}) - Btot']\n", "\n", "# J = symbolic_jacobian(v_str, f_list)\n", " \n", "# return lambdify(sym.symbols(v_str), J, modules='numpy')\n", "\n", "# def stability(x0, y0, jacobian_func):\n", "# jmat = jacobian_func(x0, y0)\n", "# eig = np.linalg.eigvals(jmat)\n", "# print(eig)\n", "# return (np.real(eig)<0).all()\n", "\n", "# def get_fixed_points(Anull, Bnull, params):\n", "# # get jacobian\n", "# jacobian_func = get_jacobian_func(params)\n", " \n", "# # find fixed points\n", "# x, y = intersection(Anull[:,0], Anull[:,1], Bnull[:,0], Bnull[:,1])\n", "# stable_fp = np.empty((0,2))\n", "# unstable_fp = np.empty((0,2))\n", "# # for each fixed point, use the surrounding 4 points to determine the stability\n", "# for i in range(len(x)):\n", "# print(x[i], y[i])\n", "# if stability(x[i], y[i], jacobian_func)==1:\n", "# stable_fp = np.vstack([stable_fp, [x[i],y[i]]])\n", "# print('stable exissted')\n", "# else:\n", "# print('unstable existed')\n", "# unstable_fp = np.vstack([unstable_fp, [x[i],y[i]]])\n", "\n", "# return stable_fp, unstable_fp\n", "\n", "####################\n", "# Using the Jacobian function Ron calculated\n", "\n", "def jacobian(x0, y0, p):\n", " # Calculate the jacobian matrix\n", " # Fixed point = (x0, y0)\n", " # p = parameters\n", " jmat = np.zeros([2,2])\n", " sqtemp = np.sqrt(p.Kd**2 + 8 * (x0 + y0) * p.Kd)\n", " \n", " jmat[0,0] = - 1 - p.beta * (1 + ((p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * x0**2))**p.n)**(-2) * p.n * ((p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * x0**2))**(p.n-1) * (x0 * (4 + 4 * p.Kd / sqtemp) - 2 * (p.Kd + 4 * (x0 + y0) + sqtemp)) / (2 * x0**3)\n", " jmat[0,1] = - p.beta * (1 + ((p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * x0**2))**p.n)**(-2) * p.n * ((p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * x0**2))**(p.n-1) * (4 + 4 * p.Kd / sqtemp) / (2 * x0**2)\n", " jmat[1,0] = - p.m * p.beta * (1 + (p.kappa * (p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * y0**2))**p.n)**(-2) * p.n * (p.kappa * (p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * y0**2))**(p.n-1) * p.kappa * (4 + 4 * p.Kd / sqtemp) / (2 * y0**2)\n", " jmat[1,1] = - p.gamma - p.m * p.beta * (1 + (p.kappa * (p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * y0**2))**p.n)**(-2) * p.n * (p.kappa * (p.Kd + 4 * (x0 + y0) + sqtemp) / (2 * y0**2))**(p.n-1) * (y0 * p.kappa * (4 + 4 * p.Kd / sqtemp) - 2 * p.kappa * (p.Kd + 4 * (x0 + y0) + sqtemp)) / (2 * y0**3)\n", " \n", " return jmat\n", "\n", "def stability(x0, y0, p):\n", " \"\"\"\n", " Returns True if stable\n", " \"\"\"\n", " # x0, y0 = fixed point coord\n", " # Calculate the stability of fixed point based on eigenvalue of jacobian matrix\n", " jmat = jacobian(x0, y0, p)\n", " eig = np.linalg.eigvals(jmat)\n", " return (np.real(eig)<0).all()\n", "\n", "def get_fixed_points(Anull, Bnull, params):\n", " \n", " # find fixed points\n", " x, y = intersection(Anull[:,0], Anull[:,1], Bnull[:,0], Bnull[:,1])\n", " stable_fp = np.empty((0,2))\n", " unstable_fp = np.empty((0,2))\n", " # for each fixed point, use the surrounding 4 points to determine the stability\n", " for i in range(len(x)):\n", " if stability(x[i], y[i], params)==1:\n", " stable_fp = np.vstack([stable_fp, [x[i],y[i]]])\n", " else:\n", " unstable_fp = np.vstack([unstable_fp, [x[i],y[i]]])\n", "\n", " return stable_fp, unstable_fp" ] }, { "cell_type": "code", "execution_count": 5, "id": "79fc9834-d671-4ff3-ac3d-6c5715ac5798", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]},\"Anull_Bvals\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]},\"Bnull_Bvals\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]}},\"selected\":{\"id\":\"1235\"},\"selection_policy\":{\"id\":\"1234\"}},\"id\":\"1165\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"1214\",\"type\":\"Selection\"},{\"attributes\":{\"line_alpha\":0.2,\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"Anull_Avals\"},\"y\":{\"field\":\"Anull_Bvals\"}},\"id\":\"1202\",\"type\":\"Line\"},{\"attributes\":{},\"id\":\"1178\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"1235\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"1169\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"1209\",\"type\":\"AllLabels\"},{\"attributes\":{\"axis_label\":\"dimensionless A_tot\",\"coordinates\":null,\"formatter\":{\"id\":\"1211\"},\"group\":null,\"major_label_policy\":{\"id\":\"1212\"},\"ticker\":{\"id\":\"1178\"}},\"id\":\"1177\",\"type\":\"LinearAxis\"},{\"attributes\":{\"axis\":{\"id\":\"1181\"},\"coordinates\":null,\"dimension\":1,\"group\":null,\"ticker\":null},\"id\":\"1184\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1288\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1289\",\"type\":\"Selection\"},{\"attributes\":{\"line_color\":\"#1f77b4\",\"line_width\":2,\"x\":{\"field\":\"Anull_Avals\"},\"y\":{\"field\":\"Anull_Bvals\"}},\"id\":\"1200\",\"type\":\"Line\"},{\"attributes\":{\"data\":{\"x\":{\"__ndarray__\":\"QsAzNnwjBUDn/m51+6MoQA==\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2]},\"y\":{\"__ndarray__\":\"6P5udfujKEBBwDM2fCMFQA==\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2]}},\"selected\":{\"id\":\"1289\"},\"selection_policy\":{\"id\":\"1288\"}},\"id\":\"1167\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"coordinates\":null,\"group\":null},\"id\":\"1205\",\"type\":\"Title\"},{\"attributes\":{\"line_color\":\"orange\",\"line_width\":2,\"x\":{\"field\":\"Bnull_Avals\"},\"y\":{\"field\":\"Bnull_Bvals\"}},\"id\":\"1219\",\"type\":\"Line\"},{\"attributes\":{\"coordinates\":null,\"group\":null,\"items\":[{\"id\":\"1217\"},{\"id\":\"1237\"}]},\"id\":\"1216\",\"type\":\"Legend\"},{\"attributes\":{\"coordinates\":null,\"data_source\":{\"id\":\"1164\"},\"glyph\":{\"id\":\"1200\"},\"group\":null,\"hover_glyph\":null,\"muted_glyph\":{\"id\":\"1202\"},\"nonselection_glyph\":{\"id\":\"1201\"},\"view\":{\"id\":\"1204\"}},\"id\":\"1203\",\"type\":\"GlyphRenderer\"}],\"root_ids\":[\"1168\"]},\"title\":\"Bokeh Application\",\"version\":\"2.4.2\"}};\n", " const render_items = [{\"docid\":\"11e0bae4-6630-45df-816c-90587eed19f0\",\"root_ids\":[\"1168\"],\"roots\":{\"1168\":\"bfe90d4b-af55-41f8-86e0-254600dc8d24\"}}];\n", " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", "\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "1168" } }, "output_type": "display_data" } ], "source": [ "# initial plotting\n", "params = BSParams()\n", "params.alpha = 0.2\n", "params.beta = 15\n", "params.Kd = 1\n", "params.n = 1\n", "params.r = 1\n", "params.m = 1\n", "params.kappa = 1\n", "params.gamma = 1\n", "\n", "A_nullcline, B_nullcline = get_nullclines(params)\n", "stable_fps, unstable_fps = get_fixed_points(A_nullcline, B_nullcline, params)\n", "\n", "cdsA = bokeh.models.ColumnDataSource(dict(Anull_Avals=A_nullcline[:,0], Anull_Bvals=A_nullcline[:,1]))\n", "cdsB = bokeh.models.ColumnDataSource(dict(Bnull_Avals=B_nullcline[:,0], Bnull_Bvals=B_nullcline[:,1]))\n", "cds_stable_fps = bokeh.models.ColumnDataSource(dict(x=stable_fps[:,0], y=stable_fps[:,1]))\n", "cds_unstable_fps = bokeh.models.ColumnDataSource(dict(x=unstable_fps[:,0], y=unstable_fps[:,1]))\n", "\n", "# Build the plot\n", "p = bokeh.plotting.figure(\n", " frame_height=300,\n", " frame_width=300,\n", " x_axis_label=\"dimensionless A_tot\",\n", " y_axis_label=\"dimensionless B_tot\",\n", ")\n", "p.line(source=cdsA, x=\"Anull_Avals\", y=\"Anull_Bvals\", line_width=2, legend_label='A_tot nullcline')\n", "p.line(source=cdsB, x=\"Bnull_Avals\", y=\"Bnull_Bvals\", line_width=2, color='orange', legend_label='B_tot nullcline')\n", "p.circle(\n", " source=cds_stable_fps,\n", " x=\"x\",\n", " y=\"y\",\n", " color=\"black\",\n", " size=10,\n", " line_width=1\n", ")\n", "p.circle(\n", " source=cds_unstable_fps,\n", " x=\"x\",\n", " y=\"y\",\n", " color=\"white\",\n", " line_color=\"black\",\n", " size=10,\n", " line_width=1\n", ")\n", "\n", "alpha_slider = bokeh.models.Slider(\n", " title=\"alpha\", start=0.1, end=0.6, step=0.1, value=0.2, width=150\n", ")\n", "beta_slider = bokeh.models.Slider(\n", " title=\"beta\", start=0.5, end=17, step=0.1, value=15, width=150\n", ")\n", "Kd_slider = bokeh.models.Slider(\n", " title=\"Kd\", start=0.5, end=10, step=0.1, value=1, width=150\n", ")\n", "n_slider = bokeh.models.Slider(\n", " title=\"n\", start=0.5, end=3, step=0.1, value=1, width=150\n", ")\n", "r_slider = bokeh.models.Slider(\n", " title=\"r\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "m_slider = bokeh.models.Slider(\n", " title=\"m\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "kappa_slider = bokeh.models.Slider(\n", " title=\"kappa\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "gamma_slider = bokeh.models.Slider(\n", " title=\"gamma\", start=0.1, end=10, step=0.1, value=1, width=150\n", ")\n", "\n", "def callback(attr, old, new):\n", " \n", " params = BSParams()\n", " params.alpha = alpha_slider.value\n", " params.beta = beta_slider.value\n", " params.Kd = Kd_slider.value\n", " params.n = n_slider.value\n", " params.r = r_slider.value\n", " params.m = m_slider.value\n", " params.kappa = kappa_slider.value\n", " params.gamma = gamma_slider.value\n", " \n", " Anull, Bnull = get_nullclines(params)\n", " cdsA.data[\"Anull_Avals\"] = Anull[:,0]\n", " cdsA.data[\"Anull_Bvals\"] = Anull[:,1]\n", " cdsB.data[\"Bnull_Avals\"] = Bnull[:,0]\n", " cdsB.data[\"Bnull_Bvals\"] = Bnull[:,1]\n", " \n", " stable_fps, unstable_fps = get_fixed_points(Anull, Bnull, params)\n", " cds_stable_fps.data[\"x\"] = stable_fps[:,0]\n", " cds_stable_fps.data[\"y\"] = stable_fps[:,1]\n", " cds_unstable_fps.data[\"x\"] = unstable_fps[:,0]\n", " cds_unstable_fps.data[\"y\"] = unstable_fps[:,1]\n", " \n", "alpha_slider.on_change(\"value_throttled\", callback)\n", "beta_slider.on_change(\"value_throttled\", callback)\n", "Kd_slider.on_change(\"value_throttled\", callback)\n", "n_slider.on_change(\"value_throttled\", callback)\n", "r_slider.on_change(\"value_throttled\", callback)\n", "m_slider.on_change(\"value_throttled\", callback)\n", "kappa_slider.on_change(\"value_throttled\", callback)\n", "gamma_slider.on_change(\"value_throttled\", callback)\n", "\n", "layout = bokeh.layouts.row(\n", " p, bokeh.models.Spacer(width=30), bokeh.layouts.column(alpha_slider, beta_slider, Kd_slider, n_slider,\n", "# r_slider, m_slider, kappa_slider, gamma_slider\n", " )\n", ")\n", "\n", "def app(doc):\n", " doc.add_root(layout)\n", "\n", "if interactive_python_plots:\n", " bokeh.io.show(app, notebook_url=notebook_url)\n", "else:\n", " bokeh.io.show(p)" ] }, { "cell_type": "markdown", "id": "a494321b-f9e7-41f1-b300-2c2ab4321246", "metadata": {}, "source": [ "### Plotting a flow field\n", "\n", "To investigate the behavior near the fixed points, and indeed away from them as well, we can plot the **phase portrait**. A phase portrait is a plot displaying possible trajectories of a dynamical system in **phase space**, in this case on the $A_\\mathrm{tot}$-$B_\\mathrm{tot}$ plane. Let's generate a phase portrait using the `biocircuits` package (with the nullclines overlaid).\n", "\n", "The `biocircuits.phase_portrait()` function requires explicit functions for $\\mathrm{d}[A_{tot}]/\\mathrm{d}t$ and $\\mathrm{d}[B_{tot}]/\\mathrm{d}t$." ] }, { "cell_type": "code", "execution_count": 6, "id": "1887b4a8-b986-48b1-ad1b-3ff2cb60d3cc", "metadata": {}, "outputs": [], "source": [ "def dAtot_dt(Atot, Btot, alpha, beta, n, Kd):\n", " A2 = (\n", " 2\n", " * Atot ** 2\n", " / (Kd + 4 * (Atot + Btot) + np.sqrt(Kd ** 2 + 8 * (Atot + Btot) * Kd))\n", " )\n", " return alpha + beta * A2 ** n / (1 ** n + A2 ** n) - Atot\n", "\n", "\n", "def dBtot_dt(Atot, Btot, alpha, beta, n, Kd):\n", " B2 = (\n", " 2\n", " * Btot ** 2\n", " / (Kd + 4 * (Atot + Btot) + np.sqrt(Kd ** 2 + 8 * (Atot + Btot) * Kd))\n", " )\n", " return alpha + beta * B2 ** n / (1 ** n + B2 ** n) - Btot" ] }, { "cell_type": "markdown", "id": "1859bc80-6e51-4d33-aa4a-3165765734ca", "metadata": {}, "source": [ "Next, we will build a plot with the fixed points and nullclines, as before." ] }, { "cell_type": "code", "execution_count": 7, "id": "c1f59565-9da3-4cee-9dc5-46983b3c32fa", "metadata": {}, "outputs": [], "source": [ "# initial plotting\n", "alpha = 0.2\n", "beta = 15\n", "Kd = 1\n", "n = 1\n", "r = 1\n", "m = 1\n", "kappa = 1\n", "gamma = 1\n", "\n", "density = 1000\n", "rangescale = 1.5\n", "\n", "Amin = params.alpha*0.01\n", "Amax = rangescale*params.beta\n", "Bmin = params.r*params.alpha*0.01\n", "Bmax = rangescale*params.m*params.beta\n", "\n", "params = BSParams()\n", "params.alpha = alpha\n", "params.beta = beta\n", "params.Kd = Kd\n", "params.n = n\n", "params.r = r\n", "params.m = m\n", "params.kappa = kappa\n", "params.gamma = gamma\n", "\n", "A_nullcline, B_nullcline = get_nullclines(params)\n", "stable_fps, unstable_fps = get_fixed_points(A_nullcline, B_nullcline, params)\n", "\n", "cdsA = bokeh.models.ColumnDataSource(dict(Anull_Avals=A_nullcline[:,0], Anull_Bvals=A_nullcline[:,1]))\n", "cdsB = bokeh.models.ColumnDataSource(dict(Bnull_Avals=B_nullcline[:,0], Bnull_Bvals=B_nullcline[:,1]))\n", "cds_stable_fps = bokeh.models.ColumnDataSource(dict(x=stable_fps[:,0], y=stable_fps[:,1]))\n", "cds_unstable_fps = bokeh.models.ColumnDataSource(dict(x=unstable_fps[:,0], y=unstable_fps[:,1]))\n", "\n", "p = bokeh.plotting.figure(\n", " frame_height=300,\n", " frame_width=300,\n", " x_axis_label=\"dimensionless A_tot\",\n", " y_axis_label=\"dimensionless B_tot\",\n", ")\n", "\n", "p.line(source=cdsA, x=\"Anull_Avals\", y=\"Anull_Bvals\", line_width=2, legend_label='A_tot nullcline')\n", "p.line(source=cdsB, x=\"Bnull_Avals\", y=\"Bnull_Bvals\", line_width=2, color='orange', legend_label='B_tot nullcline')\n", "p.circle(\n", " source=cds_stable_fps,\n", " x=\"x\",\n", " y=\"y\",\n", " color=\"black\",\n", " size=10,\n", " line_width=1\n", ")\n", "p.circle(\n", " source=cds_unstable_fps,\n", " x=\"x\",\n", " y=\"y\",\n", " color=\"white\",\n", " line_color=\"black\",\n", " size=10,\n", " line_width=1\n", ");" ] }, { "cell_type": "markdown", "id": "e2013223-f877-4a93-ae30-dd9f60589db2", "metadata": {}, "source": [ "Finally, we overlay the phase portrait." ] }, { "cell_type": "code", "execution_count": 8, "id": "8324ac23-3d1a-430a-a0f0-485e924d2981", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]},\"Anull_Bvals\":{\"__ndarray__\":\"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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]},\"Bnull_Bvals\":{\"__ndarray__\":\"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Application\",\"version\":\"2.4.2\"}};\n", " const render_items = [{\"docid\":\"9bbd52db-6668-4559-b875-e75b5935197a\",\"root_ids\":[\"1380\"],\"roots\":{\"1380\":\"d6c530d4-80c9-4469-a8ca-7845a6c91fc5\"}}];\n", " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", "\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "1380" } }, "output_type": "display_data" } ], "source": [ "p = biocircuits.phase_portrait(\n", " dAtot_dt,\n", " dBtot_dt,\n", " [Amin, Amax],\n", " [Bmin, Bmax],\n", " (alpha, beta, n, Kd),\n", " (alpha, beta, n, Kd),\n", " x_axis_label=\"dimensionless A_tot\",\n", " y_axis_label=\"dimensionless B_tot\",\n", " color=\"gray\",\n", " p=p,\n", ")\n", "\n", "bokeh.io.show(p)" ] }, { "cell_type": "markdown", "id": "e49222ee-c9f0-47eb-b049-33792a22e855", "metadata": {}, "source": [ "### Plotting separatrices\n", "\n", "Notice how two trajectories can start very close to each other yet diverge and end up at different stable fixed points. The set of all starting points that eventually land on a given attractor (stable fixed point) is known as its **basin of attraction**. The boundary between two basins of attraction is called a **separatrix**.\n", "\n", "We can calculaute the separatrices by making use of the fact that a separatrix is the one-dimensional stable manifold of a particular saddle fixed point— while trajectories on either side of a separatrix will converge to a stable fixed point, trajectories that start exactly *on* a separatrix will converge to a saddle point.\n", "\n", "Recall from our exploration of Linear Stability Analysis in Chapter 9 that a saddle fixed point has one stable eigendirection and one unstable eigendirection. Near the fixed point, one eigenvector, $\\boldsymbol{v}$, and its inverse $-\\boldsymbol{v}$, point outwards from the fixed point. This eigenvector is parallel to the separatrix close to the fixed point. However, moving away from the fixed point, the eigenvector and the separatrix will begin to diverge. In order to follow the separatrix, therefore, we must start at the fixed point, take a very small stepp along the $\\boldsymbol{v}$ direction, and then follow the ODEs themselves by integrating *backwards in time* to find all of the trajectories that would eventually converge to the fixed point. We can then repeat this procedure in the $-\\boldsymbol{v}$ direction to find the other arm of the separatrix.\n", "\n", "We demonstrate this procedure below." ] }, { "cell_type": "code", "execution_count": 9, "id": "d2c4290c-ec0b-4aa3-8783-594d2214258a", "metadata": {}, "outputs": [], "source": [ "def df_dt_tuple(concs, t, alpha, beta, Kd, n, r, m, kappa, gamma):\n", " Atot, Btot = concs\n", " A2 = 2*Atot**2 / (Kd + 4*(Atot+Btot) + np.sqrt(Kd**2 + 8 * (Atot+Btot) * Kd))\n", " B2 = 2*Btot**2 / (Kd + 4*(Atot+Btot) + np.sqrt(Kd**2 + 8 * (Atot+Btot) * Kd))\n", " \n", " return [-1 * (alpha + beta * A2**n / (1**n + A2**n) - Atot),\n", " -1 * (alpha + beta * B2**n / (1**n + B2**n) - Btot)]\n", "\n", "def plot_separatrix(\n", " x0,\n", " y0,\n", " A_range,\n", " B_range,\n", " params,\n", " p,\n", " t_max=100,\n", " eps=1e-6,\n", " color=\"#d95f02\",\n", " line_width=2,\n", "):\n", " \"\"\"\n", " Plot separatrix on phase portrait.\n", " Takes bokeh plot p as an input and returns p with \n", " separatrix plot overlaid.\n", " \"\"\"\n", " # Negative time function to integrate to compute separatrix\n", " def rhs(concs, t):\n", " # Unpack variables\n", " Atot, Btot = concs\n", " \n", " # return df_dt_tuple(concs, t, alpha, beta, Kd, n, r, m, kappa, gamma)\n", "\n", " # Stop integrating if we get the edge of where we want to integrate\n", " if A_range[0] < Atot < A_range[1] and B_range[0] < Btot < B_range[1]:\n", " return df_dt_tuple(concs, t, alpha, beta, Kd, n, r, m, kappa, gamma)\n", " else:\n", " return np.array([0, 0])\n", "\n", " # Compute eigenvalues and eigenvectors\n", " evals, evecs = np.linalg.eig(jacobian(x0, y0, params))\n", "\n", " # Get eigenvector corresponding to attraction\n", " evec = evecs[:, evals < 0].flatten()\n", "\n", " # Parameters for building separatrix\n", " t = np.linspace(0, t_max, 400)\n", "\n", " # Put parameters in a tuple\n", " args = (params.alpha, params.beta, params.Kd, params.n, params.r, params.m, params.kappa, params.gamma)\n", " alpha = params.alpha\n", " beta = params.beta\n", " Kd = params.Kd\n", " n = params.n\n", " r = params.r\n", " m = params.m\n", " kappa = params.kappa\n", " gamma = params.gamma\n", " \n", " # Build upper right branch of separatrix\n", " c0 = np.array([x0, y0]) + eps * evec\n", " x_upper = scipy.integrate.odeint(rhs, c0, t)\n", "\n", " # Build lower left branch of separatrix\n", " c0 = np.array([x0, y0]) - eps * evec\n", " x_lower = scipy.integrate.odeint(rhs, c0, t)\n", "\n", " # Concatenate, reversing lower so points are sequential\n", " sep_x = np.concatenate((x_lower[::-1, 0], x_upper[:, 0]))\n", " sep_y = np.concatenate((x_lower[::-1, 1], x_upper[:, 1]))\n", "\n", " # Plot\n", " p.line(sep_x, sep_y, color=color, line_width=line_width,legend_label=\"seperatrix\")\n", "\n", " return p" ] }, { "cell_type": "code", "execution_count": 10, "id": "3bdd8bcd-abbe-46b5-aa9f-0b5cded216e4", "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
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\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]},\"Anull_Bvals\":{\"__ndarray__\":\"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H28ZZzD/2AeUxDFvMP9uUKbhSXMw/af/Bb5pdzD8OIl5a417MP7gPsXktYMw/ahVxz3hhzD/nwVddxWLMP4vtISUTZMw/D8KPKGJlzD+GwmRpsmbMP2nTZ+kDaMw/sEJjqlZpzD8U0CSuqmrMP1G1ffb/a8w/mK5ChVZtzD8NA0xcrm7MP16NdX0HcMw/ecSe6mFxzD9OxKqlvXLMP8JWgLAadMw/qPwJDXl1zD/V9jW92HbMP15P9sI5eMw/5eJAIJx5zD8Dag/X/3rMP8yCX+lkfMw/froyWct9zD83l44oM3/MP9ShfFmcgMw/8m8K7gaCzD/+rUnocoPMP3cpUErghMw/ONs3Fk+GzD/58R5Ov4fMP9PcJ/Qwicw/DVZ5CqSKzD/cbT6TGIzMP1yVppCOjcw/sanlBAaPzD85/zPyfpDMP+Zszlr5kcw/xlf2QHWTzD+OvvGm8pTMP35FC49xlsw/MUKS+/GXzD+0x9ruc5nMP8KyPWv3msw/BbYYc3yczD+yZs4IA57MPx1Jxi6Ln8w/i91s5xShzD8qrTM1oKLMPylXkRotpMw/CZ4BmrulzD8EdQW2S6fMP7INI3HdqMw/wuXlzXCqzD/91N7OBazMP1EbpHacrcw/Lm/RxzSvzD/wCwjFzrDMP4vA7nBqssw/Z/4xzge0zD9V6IPfprXMP81hnKdHt8w/Wh45Keq4zD8isR1njrrMP7ucE2Q0vMw/JmPqIty9zD/4lXemhb/MP8rmlvEwwcw/yTcqB97CzD+RrBnqjMTMPym7U509xsw/Sj3NI/DHzD/XgYGApMnMP4hecrZay8w/3EGoyBLNzD8/RTK6zM7MP2Q/Jo6I0Mw/+NagR0bSzD9rlcXpBdTMPxz6vnfH1cw/qo2+9IrXzD+c9fxjUNnMPzgIusgX28w/reA8JuHczD9v89N/rN7MP+ci1dh54Mw/a9SdNEnizD9iBZOWGuTMP99gIQLu5cw/UFW9esPnzD+fKuMDm+nMP5EYF6F068w/cF3lVVDtzD8CVeIlLu/MP9KPqhQO8cw/0OriJfDyzD80pzhd1PTMP8CCYb669sw/TdAbTaP4zD+8kC4NjvrMPzCMaQJ7/Mw/m2ulMGr+zD/A0sObWwDNP3Z6r0dPAs0/T0tcOEUEzT+oeMdxPQbNPwCc9/c3CM0/z9D8zjQKzT+q0PD6MwzNP1pMbD6uDc0//BX0lTkOzT/ziQkZTRDNP7ZuCiJjEs0/uv+YtXsUzT9O3WLYlhbNP8YvIY+0GM0/G8uY3tQazT8OU5rL9xzNP+NfAlsdH80/hqO5kUUhzT9ZD7V0cCPNP3/69QieJc0/wEiKU84nzT/5kYxZASrNPyFKJCA3LM0/8+mFrG8uzT8aGPMDqzDNPxLTuivpMs0/ops5KSo1zT/kn9kBbjfNPxznEru0Oc0/B35rWv47zT8CpHflSj7NP8T42WGaQM0/xapD1exCzT91pnRFQkXNPxXGO7iaR80/SwJ3M/ZJzT9/oxO9VEzNP/hzDlu2Ts0/svJzExtRzT8Mh2DsglPNPzq1AOztVc0/h1ORGFxYzT9zwF94zVrNP5wZyhFCXc0/i3M/67lfzT9iEkALNWLNP2ajXXizZM0/e3c7OTVnzT9/vo5UumnNP6TDHtFCbM0/tSrFtc5uzT9cLm4JXnHNP1nfGNPwc80/zmTXGYd2zT+HPc/kIHnNP02COTu+e80/USljJF9+zT+3Sq2nA4HNPyJmjcyrg80/dqmNmleGzT/GOE0ZB4nNP1l3gFC6i80//FHxR3GOzT9vin8HLJHNPysEIZfqk80/YRLi/qyWzT84x+VGc5nNP3xEZnc9nM0/fA21mAufzT9rWjuz3aHNPwptes+zpM0/2uYL9o2nzT+gIKIvbKrNP4ODCIVOrc0/nOMj/zSwzT8M3PKmH7PNP7csjoUOts0/ghkppAG5zT85yxEM+bvNPziyscb0vs0/mOqN3fTBzT9Bokda+cTNP6+AnEYCyM0/hRBnrA/LzT/6Kp+VIc7NPx5lWgw40c0/In/MGlPUzT9v1UfLctfNP+DTPSiX2s0/7Wo/PMDdzT/5hv0R7uDNP7GJSbQg5M0/qsUVLljnzT8b/HWKlOrNP+3cn9TV7c0/G4nrFxzxzT9RF9RfZ/TNPxsb+Le3980/YS4aLA37zT+EfSHIZ/7NP/RVGpjHAc4/cbc2qCwFzj/q584ElwjOPy4KYroGDM4/T7eW1XsPzj/fmjtj9hLOPy4SSHB2Fs4/Y87cCfwZzj+weUQ9hx3OP5tf9BcYIc4/dhiNp64kzj8VONv5SijOP83/1xztK84/4hOqHpUvzj9gNKYNQzPOP4b5T/j2Ns4/0JNa7bA6zj+oj6n7cD7OP/acUTI3Qs4/d1qZoANGzj8eJfpV1knOP2vrIGKvTc4//gTv1I5Rzj9UDnu+dFXOP+LIES9hWc4/nP82N1Rdzj/7b6bnTWHOP8q3VFFOZc4/fkdwhVVpzj+WWWKVY23OP+Duz5J4cc4/1s+aj5R1zj86k+Kdt3nOP/mpBdDhfc4/l3CiOBOCzj8cRpjqS4bOP8+oCPmLis4/xFhYd9OOzj9mgDB5IpPOPzfjfxJ5l84/xhJ8V9ebzj8vqqJcPaDOPyiQujarpM4/3j/V+iCpzj+wGFC+nq3OPx+11ZYkss4/9UhfmrK2zj/nBjbfSLvOP96N9Hvnv84/JF6Ih47Ezj+BVjMZPsnOP7Q5jUj2zc4/UDyFLbfSzj8+m2PggNfOPzQ7y3lT3M4/QVG7Ei/hzj+qFJHEE+bOP3N6CakB684/ofpC2vjvzj+8X79y+fTOP4agZY0D+s4/Z8SDRRf/zj/D0tC2NATPP3jNbv1bCc8/4rbsNY0Ozz+lo0h9yBPPP6HY8fANGc8/PvXKrl0ezz+NKizVtyPPP5F/5YIcKc8/4iJB14suzz9DygXyBTTPP1cgefOKOc8/CkFi/Bo/zz/eRAwutkTPP7/bSKpcSs8/kvdykw5Qzz8th3EMzFXPP/NBujiVW88/sIRUPGphzz8rQNw7S2fPP975hFw4bc8/dt8cxDFzzz997Q+ZN3nPP94pawJKf88/xfLfJ2mFzz9rYscxlYvPP3jIJUnOkc8/lzmulxSYzz/RNcZHaJ7PP4RmiYTJpM8/anTNeTirzz+j9iVUtbHPP2R76EBAuM8/A6swbtm+zz9FhuQKgcXPP6vAuEY3zM8/rDc1UvzSzz+bh7le0NnPP0i/gZ6z4M8/LzOrRKbnzz9AcTmFqO7PP4UmiSXl7s8/QTUGDR32zz+SkezJpv3PPzDuEUuhAtA/YWp0WXgG0D89ylmxWArQPyqEn3RCDtA/lE/IxTUS0D+hGADIMhbQPwcRIJ85GtA/Cd+yb0oe0D+Q6/heZSLQP4jQ7JKKJtA/h+hHMroq0D/tAIdk9C7QP6cv71E5M9A/5s2SI4k30D/rmFYD5DvQP3H69htKQNA//nkNmbtE0D+GWBanOEnQP/lXdnPBTdA/SLCALFZS0D9yM30B91bQP2yiriKkW9A/jTRZwV1g0D9yU8kPJGXQPyKNWkH3adA/qr5+itdu0D8PecUgxXPQP/Ki4zrAeNA/D1m7EMl90D8MEGTb34LQP//5MtUEiNA/VLLDOTiN0D+sMgFGepLQP64TLzjLl9A/jhzzTyud0D96JF/OmqLQPx5J+/UZqNA/kH3QCqmt0D81dXNSSLPQPzbuDxT4uNA/el90mLi+0D/4DR4qisTQP9CNRRVtytA/V7Prp2HQ0D/X+OYxaNbQP8Fd8QSB3NA/Y8S2dKzi0D9r0+PW6ujQP7pgNYM879A/amuI06H10D/+quojG/zQP0W6q9KoAtE/f+RuQEsJ0T/zmz3QAhDRPyyhmufPFtE/0OKV7rId0T8EHuFPrCTRPx1I5Xi8K9E/cMrY2eMy0T/imdblIjrRPwg09hJ6QdE/XIxk2ulI0T+P9H24clDRP5gL6SwVWNE/jr+yutFf0T94b2voqGfRP1gAUwYOaNE/ZBpg0UBw0T/qhifRAXnRP1wN6AXkgdE/iGNCLeiK0T8v+IEKD5TRP6d202ZZndE/C8R9Ecim0T/Elx3gW7DRPw/T464VutE/Dr7WYPbD0T9GUhbg/s3RPwu+Ix4w2NE/Rk4sFIvi0T9d71fDEO3RP/l4GzXC99E/2PuOe6AC0j9ZTMixrA3SP30IOvznGNI/BVwXiVMk0j8ayryQ8C/SP2tIHlbAO9I/Kv06J8RH0j+79pZd/VPSP/A5u15tYNI/WYq8nBVt0j/mVsmW93nSPwk9v9kUh9I/bZzIAG+U0j9qvgK2B6LSP70dLbPgr9I/w2Viwvu90j9Fy9u+WszSP25t4Xmp2NI/6td61Ufb0j8jBvhaB+zSP4ZFaUwj/dI/+4/yqZ4O0z+i7jqVfCDTP8fdRFPAMtM/8DtmTm1F0z8gQGIYh1jTP0UtqGwRbNM/mLi5MhCA0z9NX7yAh5TTPyw2OZ57qdM/2xMPB/G+0z+1Vptu7NTTP0TxHcNy69M/0d5dMYkC1D+xpJMoNRrUPwIYoF58MtQ/hNpv7URJ1D9Bm2yFwEvUP+9OWtqwadQ/fPHEOY6I1D+F+eu3Y6jUP3wzIxw9ydQ/QP4r7ybr1D8IXvWKLg7VP7537CtiMtU/z58MBNFX1T9AnORPi37VPyszzm2iptU/mkf+YOC51T/OmmRoldXVP94XdRZwC9Y/KNqpvMRD1j+ZX23Cv37WP6idNcyRvNY/BnsXQHD91j+vtIzUeyrXPxJs22M+Stc/6tJqrQCu1z94QJIQGRnYPyMFVThdjNg/xSEbSBeb2D8vO5nfC1nZP9qOqbuyC9o/s6ZEKZkr2z/x+zcvTnzbP87NfNf2oNs/BmnGouns3D8SMgWnMmTdPxzWVBaFXd4/D6hq41d13j/R2mZeMDbfPzFD44kgzt8/nuAUAQ723z9wjG8RnEngP8QSP//hnOA/JNi4/l2f4D/Q4yDRvODgP7WlwB0wJ+E/rg6AuKtX4T+kh/9UDGzhP3D8kpLeqeE/4sAOwCbq4T85RUdy+Q/iP5FgYUYaKOI/daCURJ1h4j+qLNBoGp3iP8R7DixHyOI/TzJn6O3X4j8FT9iN+Q3jP8ilRW6nReM/V84Tfwt/4z9PstXllIDjPy8XTth1suM/cOWYTA3n4z/TdgkwFR3kP9ronJ/iOOQ/8c7HrUJR5D85OwLiToPkPy27I8aWtuQ/GDtAuSbr5D9kH2RZMPHkP5h+iS28G+U/m8dzBrtM5T/jiNZr1n7lP/BVKxN+qeU/UPTW5Dmx5T/Zz91STODlP7qLxuZYEOY/C0Lm9mdB5j96jPLMy2HmP9Oy3LrYceY/BHzCqSag5j+E633gWc/mP5+xnYV5/+Y/BcO5hhka5z8xVGqTli7nP9Kcy5YzXOc/LC97/aOK5z8Sxx/67bnnP5D5gEBn0uc/kby5LSjo5z/FXPUeJhXoP3WysPrnQug/uVYcLXNx6D8bMEj6tIroP5ksfXobn+g/GLtChorL6D8500YBsPjoP2vgTrSQJuk/pmYPtAJD6T8nrCub4VPpP+Ic51/Qf+k/AHGcv2ms6T+sPA77sdnpPzCd1m1Q++k/nZjQ8NUG6j9UhkKjUTLqPykypn5tXuo/HrJxUS2L6j+7050nnrPqPxgzgDBDuOo/o/4dwVfj6j/jF7szAw/rP/3l5/VIO+s/ZAW8jixo6z9HCmXh62vrP3n0Klofk+s/ctckMma+6z+8e1u+PurrP/33ni+sFuw/0UAsmzkk7D/6gV8A20HsPycnNefHbOw/7UdtzD6Y7D+0UbSWQsTsP1x381SH3Ow/XO3xSbXv7D/39y7oURrtP8NnXZRxRe0/JfYE9RZx7T/mrboO1ZTtP+D/SWbSnO0/E/6WgifH7T8ccEVn+fHtP8sGBYNKHe4/esvMUx1J7j9y5IHIIk3uP0+cmvBmc+4/m41GovOd7j9pc1Cp+cjuP0caCFF79O4//RpJgnAF7z8rWkpJKh/vP5KwUZp5Se8/WXcQ5zx07z9nIU1Odp/vP4dREDy+ve8/F7qiPYjK7z9DrmpVofTvP8w8X8OUD/A/CreEZBEl8D8Q8WSPxzrwPwnE6/oFO/A/ooTODr9P8D8cSKoW6WTwP8kgKllJevA/zLaDxeCP8D9PX8/XLJfwP1XoSnsQpfA/51dfpiO68D/bSN3uas/wP+El6TPn5PA/k/qytFPz8D8+20J+TPrwPwZdCsBLD/E/RB83LX0k8T9lZY6W4TnxP5A3/9B5T/E/2ZWWkXpP8T9mdUDrZ2TxP2Lyz12GefE/L7Uu9NWO8T8/LgJ2V6TxPx8xem6hq/E/9HNCCH658T+Hds8pjM7xP1LgorrJ4/E/oFFrdjf58T9kzF1LyAfyP1PjN2mTDvI/6/I/spMj8j8p/zDWwTjyP05w6oUeTvI/dLWFdapj8j+qZ0Eo72PyP/5WM6ShePI/9YTWxMKN8j8UbhXwEKPyP9GV+M+MuPI/7wIlBRbA8j/2PIxJus3yP4KOV6bQ4vI/tkeqpxL48j+QxmfugA3zPzSeCOI8HPM/iwsPl+Ei8z8r77FJ7zfzP3rsU1MnTfM/H1CDTIpi8z/LPF/QGHjzP3o57L5jePM/Tq5wOCKN8z9gTmlYUqLzP5n1Fymst/M/H1LNPTDN8z+/1M+bitTzP7jCQsBs4vM/jyYF5Jb38z+zQ5yO6Qz0P/xmM0xlIvQ/BXCzeLEw9D/D2iP70Tf0Pyu6wfL3TPQ/0IN1WkVi9D9h0Nu3unf0P0oLl1XYjPQ/3nNW1lSN9D8FAlVXeKL0P+a5LUPCt/Q/SzV1GTPN9D8DDLFby+L0P4+mejL/6PQ/vew9wBr49D/CvsjdYg31P30yCOvQIvU/vWLRY2U49T/VQV4PJkX1Py5DqrzhTfU/MdBdoilj9T90aT6Mlnj1Pyh74PAojvU/G91B7Eyh9T/abrXAz6P1P70JFPAYufU/z2wXRobO9T/+GHg0GOT1Px/WjC7P+fU/YHglyXP99T9nuZoQMw/2P7HWIk6iJPY/aI/qTjU69j+qVq6B7E/2P6UTCaaaWfY/dBwyO3pl9j+0tFLJ7Hr2Py/Z2lGCkPY/I2hBPzum9j/rruyCwbX2PymFVZfwu/Y/qCR2zmfR9j9bO4RCAef2P9b9/Vm9/PY/MErQX+gR9z+TCxU/mBL3P4FNaWgVKPc/3I+9G7Q99z8mV927dFP3P8ky36xXafc/duWzPA9u9z8osgWY9373P7hTws+clPc/vRu5R2Oq9z+khntgS8D3P7uAlxk2yvc/pBPcVRDW9z8u78lJvev3P0O4vdqKAfg/YaD/ZXkX+D8AHHv2XCb4P/ehv5NhLfg/F1Z0bxdD+D/tarZN7Vj4PzN9u4jjbvg/Rrde04OC+D/LByk+7YT4P28DEiKtmvg/2G04doyw+D8re/GRi8b4P/ycoc2q3Pg/i1JCsKre+D/uZ8w/gPL4P4bZsSdqCPk/XBbKSXMe+T9I4rn7mzT5P9HtJY3ROvk/1iGzpJJK+T9JKWA0iGD5P1dUMnicdvk/TSo6w8+M+T8XiQlq+Jb5P1mxsSvmovk/vLkxbui4+T8w0qflCM/5PwFRuOJH5fk/WyTtRh/z+T9J1nCvfPv5P4EelaeMEfo/yf30W7on+j/kk+0aBj76P6G/0CNGT/o/dlEmC1hU+j/dxTi0dmr6P96n36aygPo/2xRTLwyX+j/mWrQAbav6Pz1lVRt6rfo/TQu9aajD+j+80MuU89n6PwWBtOZb8Po/TJh5quEG+z8s9pfdkwf7P5mQWqAjHfs/BVFU934z+z+eQroL90n7P4JAniaMYPs/cpF7urpj+z+id34z6nb7P5HJ2qNWjfs/2HZsbd+j+z/ypHDXhLr7P7YsX5fhv/s/luNdAv7Q+z8lGBB0fOf7PyO5r98W/vs/ATG/is0U/D/8x0J0CBz8P7D6gfBgK/w/gGZ2RvJB/D8StLw7n1j8P+HHNBRob/w/QmMmUS94/D/KfE3mFIb8P0/J3f65nPw/fUuTYHqz/D/g+MFNVsr8P4f+CS5W1Pw/iuJ80Rvh/D/7RtyG1ff8P40bajOqDv0/zYIDGJol/T/Nme0KfTD9P6XcoaV3PP0/tAZCzkZT/T9F8xqgMGr9P36yplo1gf0/ETXR56OM/T8M9JpcKpj9PzpTissPr/0/9d+MmQ/G/T/nGcwEKt39P1fQtMTK6P0/kvYH9zX0/T+pCkp8Mgv+P1FPHBpJIv4/xBBpDXo5/j+da5ih8UT+P7DKu3ycUP4/1QWc5bBn/j90wQEk337+P95lqHMnlv4/4gZ8fhih/j+uNSz9X63+Pxf0ixSNxP4/f3i3wdPb/j+gnko/NPP+PyiiX1s//f4/6BLgj4IK/z+DHYAeySH/P2KKXgYpOf8/ChsGgaJQ/z9tPUM4Zln/Py5v3FQGaP8/s3OiIWd//z8YsSMO4Zb/P5xt51J0rv8/stgmFY21/z9v8hB17cX/P+NQSUVp3f8/bC6k/v30/z/gGFnsVQYAQPs5BfnZCABAcPxhER0SAEAEHzDd6B0AQH2JqQPBKQBAyVIhoKU1AECeB3dn7TYAQEtb/0x3QQBAjYnoXVFNAEBEme+wN1kAQEHV6NUAZQBAwA8f6illAEDQ3HyQBnEAQB7fdkfvfABA8wVNKeSIAEDkolpEFJMAQGMPmkHglABANg1FBMygAEDZfe3Bw6wAQIbzb5THuABAh3DMsifBAECGvx+YzcQAQMLSR9bI0ABA9yH++s/cAEB+tMAf4+gAQCg+PiE77wBAavl3IfP0AED6IjI6/gABQAOZMCYVDQFAW22X/jcZAUDLC7CPTh0BQD6xSBdSJQFAfXqmaW0xAUB2URp9lD0BQDavcmrHSQFAbtkh/mFLAUDwFlC561UBQJs4dqQXYgFAwuWWP09uAUARp5NsdXkBQFszTvKPegFA06WfTcGGAUCF/tsw/pIBQNbAAbRGnwFAtHQF24inAUDfSh5fkasBQMZD2CDUtwFAtjG3WyLEAUA9+nAnfNABQFdCd0mc1QFANR9d/9DcAUAykGeGJekBQA/AyHiF9QFAv4bx7fABAkD5D+m3rwMCQI1hFS1QDgJARYLG2LYaAkBJRPHiKCcCQJzdWibDMQJAQgkdVaIzAkD5sIlJEEACQPp1uXmJTAJA46hw/A1ZAkA/q8yU1l8CQJfCS9mRZQJA+Yl2vRJyAkDUxpHSnn4CQMpnJy82iwJA4ng+A+qNAkC4OTXFxJcCQI7VVflYpAJA4BdxVPiwAkCERrBx/bsCQMv4cbOfvQJAut6WkDzKAkAEOKR15NYCQPdnjniX4wJAJhQi4BDqAkB65nLDSfACQOX0Zbv6/AJAyj8os7YJA0BsEn3AfRYDQMnhk04kGANAUu54WTsjA0Cb4BjOADADQCaVOzvRPANAbK8FvTdGA0BvF2eOpkkDQIkUzgV2VgNAm4zyWVBjA0DTSxagNXADQA99dytLdANA6FlioRZ9A0AK9MRh+4kDQOEIUPnqlgNAskrpmV6iA0AH7Vby4qMDQNp1bKLSsANAIbYIEM29A0BEhvhP0soDQFQYWwhy0ANAuJ75ddbXA0CPHas83OQDQDOB77zs8QNA9+XMdoX+A0ARU5xAB/8DQDFV7eEYDARAH5gyJTUZBEARhM8eXCYEQJqzPuWYLARAkM6ebIMzBEB34Tb0q0AEQEVtXRvfTQRAPYGwU6xaBEDIz31THFsEQALbiJ9RaARAb19qdZF1BEC68ibp24IEQN9OIsK/iARAwAynpiaQBEAgnGCrc50EQKOYCDnLqgRAghyUMNO2BEDTZeOSK7gEQI2Do0WGxQRAbbVnbevSBEB7k98dW+AEQCTqBZ/m5ARAisV11sntBECYV7QXPfsEQNjqfs66CAVAx7d3DfoSBUB4v+X5PhYFQNiMTdPAIwVAxcwOEE0xBUB0P43D4z4FQGqF6XsNQQVAXFVyRXdMBUBXlTmHEloFQE67Ri64ZwVADVNb6iBvBUDMVDgdYXUFQPSWoeILgwVAxPHC/MCQBUCwIM1YNJ0FQEQEiBN/ngVARjbc2jmsBUBIqT3n/rkFQOzZnkvOxwVAUu4+x0fLBUA2bnIyndUFQGfuBbBy4wVASKifdlLxBUD1u7A1W/kFQPyM5rU2/wVAVOqCIx0NBkCVfQXMDRsGQJiJIqRuJwZAMQK/OwcpBkAf4z0Y/zYGQJMNVyIBRQZAeo6ebA1TBkA6V5QSglUGQCNC8W4ZYQZAp9JpWi1vBkDrpG55S30GQN0kBoGVgwZA3IOcEm2LBkBQWHVfk5kGQMTZBNTDpwZAgPJ376ixBkCv+Zz4+rUGQJhsKyc0xAZAvQljcnfSBkAiwOldvN8GQLVLyyDE4AZAmSXVsRDvBkBTnT5VZ/0GQCENLx3ICwdAxY1bzM8NB0B8rXQKKhoHQLLnIYiUKAdAND6vIAk3B0BoW8064zsHQCzM60aBRQdAs1WSIQBUB0CprjAOiWIHQAspP6n2aQdAvConiBdxB0BPaDtDq38HQHtvGghJjgdArvawFwqYB0CbUU767ZwHQLd6HhqXqwdAtqxEPEq6B0BQxCKGHcYHQGtm+NQFyQdAcljH3sTXB0BBGS3kjeYHQPKRlPQw9AdATrNlW2D1B0C5rIXVNQQIQMZDMEUVEwhAuygRvP4hCECVXwZjRCIIQGtYq07rMAhA5+HHsOE/CECLOKwU4k4IQDgteNFXUAhAZcDPpuZdCED4Is6E9GwIQB0/1l8MfAhA2/rpP2t+CEAsKhhHKYsIQO8fxitPmghAZVhuCX+pCEB9yFuufqwIQA5BhaW0uAhAgIIpHfPHCEDulWWKO9cIQCCWzRyS2ghAeOJFRYrmCEDSgbvd4fUIQIMqEmlDBQlAw2M/i6UICUAgVA+3qxQJQHpX4f8cJAlAjhyIOZgzCUBmMbH5uDYJQG8Le5kaQwlAylMAJKZSCUBjpvedO2IJQAn/ImjMZAlApjFqmdhxCUBbveH4foEJQO1vEUcvkQlArMyU1t+SCUBnFW9y56AJQBKsHDypsAlAuNJw9HTACUBNmgZF88AJQCy+PO9I0AlAzxSGuibgCUDwZ3izBu8JQMdb3mIO8AlAJdwc6v7/CUC4P6dQ+Q8KQJM16iEaHQpAWDrSkP0fCkAxU2xNCzAKQOLoOusiQApANgNckC1LCkDM1k+ERFAKQFSlHhRwYApAJU+xh6VwCkDZ0M3+QHkKQOsH0EblgApAsoZISi+RCkAnfLs0g6EKQHueP21UpwpA5Lhe8+GxCkCe6rENS8IKQD8V3hK+0gpAHmyx22fVCkCd8TO3POMKQNHfb47F8wpAwTkjSnsDC0BxwJV4WAQLQJf5VNL3FAtAtZeGD6ElC0BkB5W4jjELQOSOMDJVNgtAIfg9mBVHC0Br/JPn31cLQAfVBieiXwtA2a1vT7ZoC0Bue5RwmHkLQHM/g4GEigtAqKJ4lbWNC0Cj+nRJfpsLQDxY49eCrAtAS3DqA8m7C0BoRxrrkb0LQK5W566vzgtAJVtgYNffC0DuPVxy3OkLQH2H9IwL8QtAGGzBJE0CDEDhTbyymBMMQJELzuDvFwxAwzu6PvMkDECvPCtnWTYMQDTZP08DRgxACmnvTspHDECFhp/QS1kMQDMPX0rXagxA16axvRZ0DEAY0mSecHwMQK15sCsYjgxAYFmau8mfDEB5dCMsKqIMQBsZZPGMsQxAQA7NUlvDDEAcQpWaPdAMQAokH2c21QxAL7UgYSLnDEDLXrJjGPkMQL8PBwlR/gxA31FQwh8LDUAyYpIiNB0NQGLdeHdkLA1AX1b0X1QvDUCZyibrh0ENQHFKmYfFUw1ABKvq5XdaDUDKfDC4FGYNQNf2gkxyeA1ApnhcVIuIDUC9khiT24oNQHr4ZvNZnQ1AJbxvcOKvDUBJRs7CnrYNQGkTEJh9wg1AN/yatifVDUDsE0AxsuQNQJl832Xe5w1AbN6kAav6DUCtOXnIgQ0OQI/hsZ/FEg5AKAq0kG0gDkA3KayzZzMOQDKvIw7ZQA5AKcKas3BGDkCodtgWj1kOQHG4Z7a3bA5A1HyVfOxuDkB+4ihX+X8OQPr9JSBHkw5Ad0oH6/+cDkDzBrTrp6YOQJf7hcsbug5AGhh5WRPLDkDQXBFenM0OQJKWvkY34Q5Abt5Tgtz0DkC95erHJvkOQHfIYjObCA9AQTC6cWgcD0Bfs1w2OicPQFSfDkdJMA9AEefahD9ED0ACgc6kTVUPQCkyIExDWA9Aj1hui2NsD0BwIBw7joAPQKROQBNhgw9AxOD2ataUD0AUUhspLKkPQEccsoF0sQ9AUkmWH5q9D0BR/n36G9IPQOrpI/CH3w9A2mvxvLDmD0CLKBXJX/sPQMbbSq/NBhBAr3KRNw4IEEBnQrnjfBIQQP8jR97wHBBAmMKDZtcdEEBXIvcgdicQQMlctNYBMhBAaam8HeE0EEBdB9/PnDwQQP9UmdVARxBAO5D11OpLEEBJGg8y8lEQQDn0SyCvXBBADHcujPRiEEDFKceXd2cQQKNT8ApOchBA3V1nQ/55EEAYUpFgLn0QQDZvI/keiBBAr0Sg+geREEDtrPX7F5MQQBMCsV4jnhBAgCvZsRGoEEBmyDnqNakQQHxPVcBctBBAUhISaRu/EEDXtCy9ib8QQM+qi7TMyhBARGEPMhXWEEAj+UogJdYQQO2iauR04RBAr/bPPdrsEEDz34PXLu0QQDDJjgxX+BBAeBE7+tkDEUDFxryOOAQRQMshFf50DxFAAtPOPRYbEUCWrfVFQhsRQD1jpp/QJhFAaJQu/UsyEUDsxARtkTIRQChElO5rPhFAOXtntFVJEUBQP6baTUoRQOIzCgBJVhFAC2Kga19gEUDSX69jTWIRQP/4UgJqbhFA3EjZIml3EUBvjx1KknoRQPLTND7RhhFAri8S2nKOEUBUAInrHpMRQMvpZRiBnxFAfxZLkXylEUCdc67C9asRQN3kGhN8uBFAUP2DSIa8EUDy9hRpGcURQL/nsc/E0RFAIuS8/4/TEUAW4tGYjN4RQPLK9baZ6hFAS/f9rV/rEUD7k20uUvgRQMSxLm6jARJANAHPmFIFEkAlresqbRISQJWYZyWtGBJA2afH/JwfEkBJyvm14CwSQGd/oNy2LxJAv5CQIEI6EkA4ZtmTwEYSQAlo/keyRxJAV7rTdUVVEkAKTRJLyl0SQNUvAtvqYhJAWUfrm6pwEkDbM0sC1HQSQKK12M6HfhJArRqEud2LEkCQqcnXdowSQBIC0hqNmhJAfgG9cOeiEkDqGTpGuKgSQMYpoOz+thJAT+j1J/G5EkCdHjk8acUSQCHPLt/60BJAgIPnSOnTEkCk9ttQjuISQPG1Z5YE6BJAMKtBq1LxEkDDnKBNDv8SQJyXCGwvABNAq8H6jzgPE0CUg9kEGBYTQNXbb2VfHhNAZmoSvCEtE0Dpq5K4oS0TQGRp5yoVPRNAN1FLcytEE0AmzXUNqEwTQAk4hCo1WxNAgC84BFpcE0CdTLp9PmwTQNoeveE+chNAwmbPTEh8E0CrBfaYSIkTQOCAeVp1jBNA0wL1KtKcE0B97C5QUqATQPDtUUdfrRNATtNnB1y3E0BT1E55FL4TQB+6oL5lzhNAkJ1na/POE0DMWZskEOATQPCg2XVv5RNAdx7FZVzxE0DChxItefwTQJuqaWHYAhRAk25L5IITFEDPO3o/hhQUQLksDR53JhRAZVWEm4wqFEABECM9ojgUQDY8vVKWQRRAksDnqwZLFEAII/YJoFgUQM2dbjWnXRRA2QkvwalvFEDy4bDZhnAUQMt+PLG0gxRAqvBneLOGFEDYEuc6K5cUQHzXoC+9nRRA+oXCzOqqFEBNvtnmxrQUQDgpMFD3vhRAHqUSntDLFEDBlY/8VNMUQO+LS1Xa4hRAEYWbXgjoFEDBcoQM5PkUQLffo2AW/RRAklm9w+0QFUCmwMNThBIVQGRA9nr3JxVA+Cc3+lcoFUA5qN+CmT4VQDUnLzIBPxVALN9Rh01VFUAGDmjpClYVQBTwv2N5bBVA2PSgoBRtFUCp29lXHoQVQFp0bO8khBVAe8ISDyibFUDBk0N2XpwVQEypS8YxshVAF/tYhSy1FUAdkIR9O8kVQNfj86CZzhVA7na9NEXgFUCynI1UsegVQMBd9utO9xVAj7dhU4ADFkCRRC+jWA4WQB8T950UHxZAYytoWmIlFkDARIqtfTsWQDQSoRFsPBZABfnZyHVTFkA+ZAb271gWQNffEoB/ahZAsV8WXGp3FkCoxks3iYEWQO2SIof9lhZAeq2E7pKYFkBLlL2lnK8WQKZ+/vn/txZAHHv2XKbGFkBjx3msa9oWQO1hLxSw3RZAv0hoy7n0FkDebEPip/4WQJAvoYLDCxdAYRbaOc0iF0CPFY3UzSQXQDP9EvHWORdAVTWaqHBNF0AE5Euo4FAXQNbKhF/qZxdAr9711gN5F0Cnsb0W9H4XQHmY9s39lRdAgIlS1DioF0BJfy+FB60XQBtmaDwRxBdA7Eyh8xrbF0DHPjC+K9wXQL0z2qok8hdAjxoTYi4JGEDCRpT39BYYQGABTBk4IBhAMuiE0EE3GEADz72HS04YQAXDO7HGWxhA1bX2PlVlGECmnC/2XnwYQHiDaK1okxhASGqhZHKqGEB+x3j2ErMYQBpR2ht8wRhA6zcT04XYGEC8HkyKj+8YQI4FhUGZBhlAX+y9+KIdGUAx0/avrDQZQDlrfk7iRBlAArovZ7ZLGUDUoGgewGIZQKWHodXJeRlAd27ajNOQGUBHVRNE3acZQBg8TPvmvhlA6iKFsvDVGUC7Cb5p+uwZQI3w9iAEBBpAE7/xl1AOGkBe1y/YDRsaQDC+aI8XMhpAAaWhRiFJGkDTi9r9KmAaQKRyE7U0dxpAdllMbD6OGkAm9/9zNaAaQEZAhSNIpRpAFye+2lG8GkDpDfeRW9MaQLr0L0ll6hpAXbTf3Vn3GkCM22gAbwEbQF3Cobd4GBtAL6naboIvG0DcamIeFTwbQACQEyaMRhtA0nZM3ZVdG0CjXYWUn3QbQHSholbEdhtAc0S+S6mLG0BFK/cCs6IbQK/vs9aeqhtAFhIwury5G0Do+GhxxtAbQF2EPh7A2RtAud+hKNDnG0CLxtrf2f4bQLyJCN06BRxAXK0Tl+MVHEAulExO7SwcQMlnEmLULRxA/3qFBfdDHEDsiz5v4lMcQNFhvrwAWxxAokj3cwpyHECizFkq/3ccQHIvMCsUiRxA32Tz216aHEBEFmniHaAcQBX9oZkntxxAs6WhnkC7HEDn49pQMc4cQOTOlM/D2hxAuMoTCDvlHEDEe81rLfkcQIqxTL9E/BxAW5iFdk4THUBLZ0KMfhYdQC1/vi1YKh1Aoa1tS9QyHUD+ZffkYUEdQAlV8LRUTh1Az0wwnGtYHUCOTPxFD2kdQKEzaVN1bx1ALbxvBRKDHUBxGqIKf4YdQAmCvK5pnB1AQwHbwYidHUAU6BN5krQdQGQ5pb8etR1A5s5MMJzLHUB3668ZPM0dQLe1heel4h1AUYvzSNHkHUCJnL6er/kdQF1PXr/m+x1AWoP3VbkQHkDyAdg+hBIeQCtqMA3DJx5ATaqp6rAoHkAKhAqecT4eQP1QacTMPh5AGVEi18dTHkDON6J71lUeQAMndRW+aB5Anx7bMuBsHkBLvdS5WX0eQHAFFOrpgx5AF927vp+RHkBC7Eyh85oeQDIZiMGUpR5AE9OFWP2xHkBpU7kKPbkeQOW5vg8HyR5AjG1VlZzMHkAhhpOVtd8eQLag98YQ4B5AuaF663zyHkCIhzB+GvceQF0gWIcFBR9AWW5pNSQOH0A4X418UhcfQCpVouwtJR9A1jIwqmYpH0D/d/H5QDsfQPw726M3PB9AWznxkdZMH0DNIhRbQVMfQEFMvOw6Xh9AnglNEktqH0CKFx9IcG8fQNrhwIB1gB9Ab/CFyVSBH0CoMSw7PJEfQEHXvoBemB9AlmncEdqhH0ASvvc3aK8fQBSLOsdQsh9ACAEeXZTCH0DkpDDvccYfQKLTbr6p0h9AtYtppnvdH0Bj8fH6nOIfQP2dMj1o8h9AhnKiXYX0H0BarGAxAQEgQKysbYrHBSBANBIaW78IIEBtw1JLbBAgQBUgCmZMESBA5ct4kwEYIEB+k6ZB0RwgQNOUc9OJHyBAvwJhQwEnIEDmBkMdViggQJHqd+ZjLiBAT3rf+NozIEAsVzYkuzUgQKsYsQMAPSBAuO171F8/IEDKlRKRNEQgQCFhGLDkSiBAFyKYJl9LIEB0jUordFIgQInUtItpViBAx/Xqr35ZIEDw5XMwfGAgQPJHUWfuYSBAzJ1bJ2hnIEBau+1Cc20gQDp1nT5MbiBA3Cq2lx11IEDDLooe+HggQOQI0ljleyBAHcnJ8aCCIEAroib6fIQgQM6QbKhNiSBAjNH4DfSPIECVFcPVAZAgQBX41POGliBA/YhfsYabIEAANLVXFJ0gQLhemeuSoyBAZvz7jAunIEDc6sdECKogQAMysytzsCBAzm+YaJCyIEAYLreI0bYgQLwJtjwpvSBAOOM0RBW+IECK//GdccMgQKBW0R+aySBAF9OiSrbJIECL4XTt6c8gQAnKbfse1SBAzqd4DBrWIEBUZMLPO9wgQHE9Ctej4CBATsqJP1jiIEC7bsuNaOggQNmwprIo7CBAQEaJIXLuIEBffMhhcfQgQEMkQ46t9yBAaqQX4mj6IEDt7wR4VwAhQKuX32kyAyFANESDoz0GIUAygJ3vGwwhQBQLfEW3DiFACaN8e/ERIUC3sDLbvxchQHx+GCE8GiFAZHC/c4UdIUA1M5BBRCMhQObxtPzAJSFAwjuxivooIUCJ/Ekeqi4hQE5lUdhFMSFAjXj2s1E0IUDex09i8jkhQLfY7bPKPCFAZoX+2Is/IUC+s3f0HUUhQB9Mio9PSCFAYVaH2alKIUAblwCyLVAhQIi/JmvUUyFAdFUZjKxVIUDlnwxvIlshQPEyw0ZZXyFAXQB8vpRgIUCTwRT3/GUhQFmmXyLeaiFAzcEjNmNrIUAAcFUNvnAhQGoXPhAYdiFAwhn8/WJ2IUCBGDVtZnshQDuj3lezgCFAKo2Y2eeBIUDnw6TK9oUhQKSuzOE2iyFAlAA1tWyNIUDfQnvSb5AhQNCa5FijlSFA/HPRkPGYIUDeP8sq0pohQEpWUWH5nyFAZedtbHakIUBiijRzHqUhQPnP3Jg5qiFAlK7W9FOvIUDNWgpI+68hQC79O5dktCFA/OXXIXO5IUA2zqYjgLshQEa6Vu56viFAha0a433DIUCfQUP/BMchQIXIiyp9yCFAdc9Yw3TNIUBus1KYa9IhQAi139qJ0iFAAD0SSFjXIUB2tpH7Q9whQHAofLYO3iFANVbJ8SjhIUDzS4u6CeYhQNibGJKT6SFAiQQ8POfqIUDvOoNPve8hQFKVtqSS9CFAQg+1bRj1IUB5BTwwX/khQMk/7QUq/iFAqoJRSZ0AIkDyqinO7wIiQKmPx1awByJAE/btJCIMIkC+zaGWbwwiQMGkRgMmESJA5kl3t9sVIkB7aYoApxciQHRzhnOLGiJA9gijPTcfIkDl3CbcKyMiQNer6AvhIyJAuRZ+GoMoIkCpKBJ0JC0iQE1Qw7ewLiJAHUKlrb8xIkCiTRZ7VzYiQLbDX5M1OiJAf7JUU+06IkA1oczAez8iQPUjq3wJRCJAHjf8brpFIkC1nBWdkUgiQIvGBiYWTSJAh6qYSj9RIkAka8FkmVEiQAtEs+QUViJAzdtnto9aIkDwHTUmxFwiQDH/gwkGXyJAdA4S/XdjIkC3B75D6WciQFiR0QFJaCJAYPjBH1NsIkDwNxKyu3AiQMEEbt3NcyJAN8fbaCF1IkC7IKRtgXkiQGHa1sjgfSJAKXgKuVJ/IkBXp1y9OoIiQPcm0rKRhiJAk+umlNeKIkBuNb/l54oiQLqmZJo2jyJAj4yzqISTIkD7XkNwXJYiQM//38DPlyJAZThItBWcIkD3oK0CW6AiQGTS30vhoSJA/E0NYZukIkDt3Y252KgiQA2xXm4VrSJAzEV8J2atIkCf1BlwS7EiQNftJlOAtSJANbkYA+u4IkDl77hfs7kiQI/pcpLgvSJAfNOlJA3CIkCeLLXeb8QiQDHb/WI2xiJA8pZUZ1vKIkCc6XHMf84iQAegUbr0zyJAJN4QkJ/SIkCJZfuIvNYiQFQO+ePY2iJAbxPulXnbIkDcXCd9794iQLn704wE4yJA14aKcf7mIkCVeBjZGOciQA3Mzrsm6yJA86yoAzTvIkBB+iZNg/IiQH2pzZ4/8yJA8noY2UX3IkCXE815S/siQKltwygI/iJAaL7tq07/IkCFfsNdTQMjQPDNR3dLByNAEuFfBI0JI0B/BcGFRgsjQGTVZM49DyNAz3X6fzQTI0B6VPzfERUjQNNDh60nFyNAhdqNqxcbI0CO6McTBx8jQOPHmLuWICNAnrScoPIiI0CyG/Fx2yYjQGL0uK7DKiNATDs1lxssI0Cbfp3Ypy4jQEqnhZqJMiNAtH4fyWo2I0C1rtFyoDcjQPKxh8tHOiNAT+SomiI+I0AkNrjX/EEjQB0ibk4lQyNAbODb69JFI0ApBj/kpkkjQL3hykt6TSNAhZUKKqpOI0APYbyoSVEjQBEt0uUWVSNAFV5Jk+NYI0DvCKcFL1ojQLlOC26sXCNAyEKwCnNgI0A7WO0YOWQjQFd8Q+GzZSNA5VCHpPtnI0Droge7u2sjQEnVVER7byNAwO/fvDhxI0AAPeexN3MjQMKcAlzxdiNAz5Qdeqp6I0AoY3yYvXwjQL6d9PhgfiNAatzhTxSCI0C0W/8bx4UjQJHWGHRCiCNARi2l2XeJI0DZxxX2JI0jQO4z5YjRkCNA+km1T8eTI0B5TjOxfJQjQBHcVqsjmCNAua0FHcqbI0BjvVErTJ8jQNaQNdpvnyNA8hW9yRCjI0AdLfoxsaYjQEwEkRJRqiNAyzDuBtGqI0CPcdao7K0jQEhP1R6HsSNAmaNXDiG1I0A0pIriVbYjQJyKvJ23uCNAonE4OEy8I0CjTV9N4L8jQJ0XJ77awSNAiGcp+3HDI0CuZGjQAMcjQCiZdyGPyiNABYvDmV/NI0D2eIsRHM4jQPJTYTel0SNAYWkq2i3VI0DVCpH5tdgjQG7+X3Xk2CNA1+vpujncI0A0/c7EvN8jQI7Jc0w/4yNA1nH8UGnkI0DZxaWmvuYjQH9FnCw86iNAo2JyMbntI0BA5Zgs7u8jQDcjJ0Q08SNAq4q6Wqz0I0BHJEvxI/gjQKhYNQhz+yNAlv3/2pr7I0DyaFSWDf8jQEpMwdJ/AiRAxY72j/EFJEARzNHj9wYkQJ4qpyRgCSRAvE6tGs0MJECeFZaSORAkQHk/br98EiRAPIcSSaQTJEAMggwMDBckQEYMAVJzGiRAba+iGtodJEDisgqbAR4kQEA3EOg8ISRAzsUID58kJEB2QcW5ACgkQEsmp3aGKSRAhUQs7l8rJEC+a8MIvS4kQG73MqgZMiRAtJlDUgs1JEAMCCVcdTUkQLjvmXzNOCRAwFf5IiU8JEBxfflOfD8kQBwN4C2QQCRAjHtVptBCJEDSUIhlI0YkQN/ObKt1SSRAhIB8CRVMJEA1ZSzAxkwkQPQcv6kUUCRAEwoSG2JTJEC9w90Tr1YkQO7zGOWZVyRAqq/4J/lZJEBvGe/VQV0kQCmcawyKYCRAVme1wB5jJEBqsRcX0WMkQLKdkxIVZyRAio+gl1hqJECnXfmlm20kQL/aUZyjbiRAGW4kBtxwJEA4Y1DqGnQkQPLT0VhZdyRAJ07udyh6JEBosGbklnokQBgQ8TfRfSRAIyvYFguBJEDY/tiARIQkQJDBilOthSRADGmlsnuHJEAk5OERsYokQGv/Pf3ljSRAB8l3dBqRJED5NCcvMpEkQEFrfXpLlCRAO57W9nuXJEAvBxIArJokQGKowwq3nCRAwfb7f9qdJECeS6qcBqEkQJj+PEcypCRAViF0f12nJEDKG2DmO6gkQEV6jhyGqiRApBGGd62tJED62CJh1LAkQDOP/MHAsyRAE8Yvo/qzJECacVO9HbckQCSxGmdAuiRAIoRHoGK9JECcApmdRb8kQGbp7EODwCRAu6hevKHDJEAp8TLFv8YkQCC3LF7dySRABHY1ecrKJEAdZd2K+MwkQLeVk3ES0CRA4MVq6SvTJEDS2SbyRNYkQG3p0VRP1iRAjzIKzlrZJEDfM7UycNwkQKkiPymF3yRA1VxuMNThJEDzszQCmeIkQPi3aWGq5SRA7lt1U7voJEBfSR3Yy+skQD7QCgxZ7SRAJjjsm9ruJEDvqu6W5/EkQM6dgyX09CRAcZtxRwD4JECnQ6fn3fgkQP8S3xgK+yRA5XiWvhL+JEC1oJv4GgElQIzxtcYiBCVAELdDw2IEJUDWw2PHJwclQBQ6dyYsCiVA3w2TGjANJUB4KuCe5w8lQKRfF2MzECVAq6f18zMTJUA2M80aNBYlQE8KZ9czGSVA4Z18emwbJUCo7i2DMhwlQGsVQukuHyVA5OkH5ioiJUBfQ0l5JiUlQEoRGVbxJiVAVLL8piAoJUB4EDXwGCslQKzP1tAQLiVARJKsSAgxJUCzhLUxdjIlQPX69RX+MyVAjZUFUPI2JUCKhzUi5jklQCc6UYzZPCVAG/hRDfs9JUBSzOEVyz8lQGSFQU67QiVAX8l3H6tFJUBgxFCJmkglQINr7uh/SSVAkHDp6odLJUCdMNkudE4lQNfmVAxgUSVAWn4pg0tUJUDs3orEBFUlQH+votc0VyVALYgqNB1aJUAO9fIqBV0lQGGcybvsXyVAVVInoIlgJUCBrRod0mIlQLn1C5+2ZSVAM57xu5poJUCdBJpzfmslQL7Fw3sObCVAFXXg+l9uJUCa3tauQHElQCGedP4gdCVAJ8WI6QB3JUAmOWBXk3clQBcuD6/eeSVA19Rxobt8JUD87C0wmH8lQE04E1t0giVAj6z8MhiDJUBpBVh2ToUlQJ94WrMniCVAjZpnjQCLJUDE2U8E2Y0lQPgfmQ6djiVAzscLjK+QJUA0Da8fhZMlQBldDVFaliVAg8/3Hy+ZJUBhkzXqIZolQKkyJCoCnCVAxcM3INSeJUBz1rW0paElQOgocOd2pCVAyQbSxaalJUAD/UyJRqclQMy+b+0UqiVAnJGr8OKsJUCj1tKSsK8lQDJ6bqErsSVAaJvs4HyyJUBW0I2+R7UlQHu79TsSuCVA4l33WNy6JUCa7Qp9sLwlQOPALGelvSVAmvWMyWzAJUAKmWDMM8MlQANJe2/6xSVAA2GnWDXIJUBMnwJRwMglQASSNEOEyyVADL2F1kfOJUAQWMoKC9ElQGzUQzS60yVAOek20s3TJUDxayBfjtYlQLH/041O2SVAF3MmXg7cJUBknOzPzd4lQNRH4A8/3yVALm3IT4vhJUADOpckSOQlQLJgr5sE5yVAdEvmtMDpJUA9u3zrw+olQD0piEZ77CVASMf/yzTvJUBkQmr07fElQP+Vnb+m9CVApi4Zx0j2JUBCK6ZzXvclQCLOKbQU+iVA+NhImMr8JUDD1dkfgP8lQA+itaLNASZAhw1bBjUCJkBpUyQM6AQmQLiSMLaaByZAUuFWBE0KJkA1XG72/gwmQHcVUn5SDSZAeBj4Aa8PJkAXZQF8XhImQFzhy5oNFSZAdzMvXrwXJkDgiO5Z1xgmQJxGrsJpGiZAvHOcFhYdJkAe8/EPwh8mQKTxhq5tIiZASfyKNVwkJkBm6VZ6GCUmQISG6rHBJyZAG5qKj2oqJkBW1Q8TEy0mQB3wUjy7LyZAsm8nEeEvJkD1T+J4YTImQF0CZkQHNSZAroNztqw3JkCVDeTOUTomQBrjw+xlOyZA4oWOlfU8JkDlFGlYmD8mQJgYccI6QiZAGEqA09xEJkCCVmDI6kYmQJDNEzF+RyZA11+T9B1KJkDxCuNfvUwmQCUF3XJcTyZAGotbLftRJkDryfyjb1ImQK3TBEGYVCZAxuXEtjRXJkBgZNHU0FkmQPwGBZtsXCZAVD2Zf/RdJkDtVgNlB18mQDXYOO6gYSZAqd9bIDpkJkB3nUf70mYmQPpH135raSZAvbA1W3lpJkAzHY0sAmwmQBalp3uYbiZADXArdC5xJkDmKvQVxHMmQCUk0jb+dCZAaTxBl1h2JkAq1hEM7HgmQIQ66yp/eyZAp4qp8xF+JkCOl24Sg4AmQJElC1OkgCZApJ8u9jSDJkAeZ/lDxYUmQI8PSDxViCZAYTL33uSKJkD3CgvuB4wmQOIszl1zjSZAgP4E4wCQJkApoF0TjpImQJobte4alSZAYH6nyYyXJkAfeAFmp5cmQI10/ioymiZAuSq6m7ycJkDFEhK4Rp8mQHKq43/QoSZAyPFDpRGjJkA4Uxw+WaQmQK9MdPfgpiZAq8kEXWipJkBXtKtu76smQGv8Rix2riZAMWXggJauJkBi2e1H+7AmQO29z/5/syZA3cZjYgS2JkBkTohyiLgmQJnYfFwbuiZA5EDYrQu7JkCznAW+jb0mQETNf3sPwCZAgpUl5pDCJkCrvdX9EcUmQAJMGTigxSZAjYeNupHHJkAHt8jZEMomQEWQyaaPzCZAZ0JvIQ7PJkBrv7UTJdEmQK47pxOM0SZA6ptgnAjUJkBFsnjThNYmQAETz7gA2SZAildDTHzbJkDTMlLvqdwmQErDxuH23SZAiiiVinDgJkCAQzri6eImQP8Qluhi5SZA7ZKIndvnJkA8pu7KLugmQAvC4ulS6iZA2RBYu8nsJkB62hs8QO8mQIiCDmy28SZApRmLprPzJkAkvYoOLPQmQJ2rNWGg9iZAOdjFYxT5JkCmBhwWiPsmQHf/GHj7/SZADo0ngjj/JkCJ6EnwbQAnQCNU73vfAidA6N/wt1AFJ0Dgsi+kwQcnQOL4jEAyCidAdgDEXb0KJ0BfUmGgoQwnQAAIO20QDydAqXzn6n4RJ0ANOUgZ7RMnQN9zYDlCFidAXw1W7FoWJ0BAKxpRxxgnQJx8RWczGydAkOW5Lp8dJ0DWTlmnCiAnQEfn/BTHISdASQojfnUiJ0CSYMQz3yQnQDKbQptIJydAxPx/tLEpJ0BszF5/GiwnQLFamfBLLSdA0axXaoIuJ0BoRLx46TAnQMwmczlQMydAgvNerLY1J0CMTmLRHDgnQBnONczQOCdAA0l94IE6J0CVEXBP5jwnQGQ+KnFKPydAVMqORa5BJ0DBtIDMEUQnQIFB0qdVRCdAyAs0D3RGJ0DhTGXm1UgnQCy80nA3SydAd65frphNJ0DqtG6D2k8nQA5x/5D5TydAAzw4JFlSJ0BWBD5ruFQnQAtz9GUXVydAYDU/FHZZJ0BTKAtfX1snQIuSUULUWydAzVpnTDFeJ0Ci7b0KjmAnQCFLOX3qYidAhXe9o0ZlJ0C8m6c65GYnQAgmbyuiZydAmyPFs/xpJ0B2ZM/wVmwnQFc+cuKwbidAGQuSiApxJ0AkD0QWaXInQE/2n3djcydAOG2Ahbt1J0C2SYhIE3gnQNU1nMBqeidAst+g7cF8J0CNguDx7X0nQDJEW1EYfydAbuz3622BJ0BsxC48w4MnQDjJ5EEYhidAy/v+/GyIJ0D19XzNcoknQFptTOLAiidAQtm+EBSNJ0Be5T31Zo8nQF/gro+5kSdA2hz33wuUJ0BfaRmp95QnQKd2V1NdlidAk3ehHK6YJ0DjLWqc/ponQLg4l9JOnSdA8ToOv56fJ0DH3LWEfKAnQHV6ncztoSdAuoOpNzykJ0AD+6VZiqYnQJnOeDLYqCdAdfAHwiWrJ0AvUFJgAawnQN37gHVyrSdAQoQiib6vJ0CA1SVUCrInQMYrcdZVtCdA88bqD6G2J0CYw+47hrcnQIgfqnTruCdAKgGeNzW7J0B/p2Syfr0nQISb5OTHvydAw2kEzxDCJ0ABN4sXC8MnQPvKCvBYxCdAi6H3aKDGJ0DD2Cea58gnQDNFgoMuyydA8r7tJHXNJ0Bqqifzj84nQNGq4gy7zydAbjBZQgDSJ0DTUYMwRdQnQAcuSNeJ1idAhOeONs7YJ0DSHcTOFNonQLcgw+8R2ydARYk+6FTdJ0AXZ92Zl98nQJcihwTa4SdAkicjKBzkJ0A7kWCqmeUnQOYZk7xd5idA32x5fp7oJ0BRrPL53uonQPGI5i4f7SdAwrY8HV/vJ0CjBP2FHvEnQJnOkpae8SdAiz81KN3zJ0BJsdlzG/YnQMMbaHlZ+CdAK3rIOJf6J0ANeJlho/wnQCxrX6DU/CdAwbD6BxH/J0AWqAYqTQEoQFCPawaJAyhA0KcRncQFKEA1NuHt/wcoQHXrNT0oCChARU2zPzoKKEDj9U4+dAwoQMsgsvetDihAjVTFa+cQKEDiGnGaIBMoQN5e0hitEyhAHPys8FgVKECHruzRkBcoQJwQYm7IGShAG+31xf8bKEDdEZHYNh4oQEbSbvQxHyhAAGedO20gKECx+4EFoyIoQDQICovYJChAf5oezA0nKECkw6jIQikoQK9FC9C2KihA7k6lQHcrKEAlcBz5qi0oQP5rpG3eLyhAx5ImnhEyKEDLN4yKRDQoQBi5p6s7NihAOc1TH3c2KECNRzjMqDgoQPyZmjXaOihAPlZkWws9KED9EH89PD8oQOBh1NtsQShAgCxEh8BBKEB1k8OdnEMoQHUVyAHMRShABdqgIvtHKEBMtjcAKkooQFqCdppYTChA6Z/gYkVNKED9VSGMhk4oQHugffCzUChARKAaEuFSKEAlauLwDVUoQMUVv4w6VyhAUhN9PspYKEChiiy1ZlkoQHlDhB+SWyhAnL6IR71dKECkTyQt6F8oQPlMQdASYihAzw/KMD1kKEC7hhkaT2QoQJFDIKxmZihAUNMd4I9oKECFXh7SuGooQIp5DILhbChAdrvS7wlvKEAj+rX1028oQAsIFLMxcShAlemK+FhzKEBVRnD8f3UoQM3vrr6mdyhAMroxP815KECMbVLRWHsoQG3volDzeyhAkE0CrRh+KEBVQTvIPYAoQKHYOKJigihAAyTmOoeEKEC2Ni6Sq4YoQPTg7qzdhihAXFA6Gc+IKEBn1yRR8oooQEnzPkgVjShAJ/Bz/jePKEDOHK9zWpEoQF5Ui4hikihAo/xvWHyTKEChkVmynZUoQOJH3cu+lyhAdabmpN+ZKED6NmE9AJwoQMbHJ2TnnShAMbxphSCeKEDEno8GQKAoQObKuUdfoihA0gHUSH6kKEBUB8oJnaYoQLKhh4q7qChALjvEP2ypKEAlaQlo2aooQP7xBtb2rChAFIReBBSvKECjHPzyMLEoQGi7y6FNsyhAl65gG/G0KEBpHpjwabUoQMs6hpCFtyhAsfs38aC5KEAnl5kSvLsoQKtFl/TWvShAKkIdl/G/KEAAIv32dcAoQMijipALwihAxPujKCXEKECIn9aBPsYoQLL/DpxXyChATY85d3DKKEBplZnS+ssoQNgX++6IzChAnkZ6w6DOKECJ0HtZuNAoQMBd7LDP0ihAxZi4yebUKEB5Ls2j/dYoQNEINq5/1yhAaCsp2hPZKEC7k+ixKdsoQOnkf0s/3ShAUADcplTfKECqyenDaeEoQDp80okE4yhAFde3hH7jKECWcRWjkuUoQEZ6s4Om5yhA2Ah/JrrpKEBTN2WLzesoQPkhU7Lg7ShAou9uZYnuKEBDVZZE8+8oQO6lDHEF8ihApNgYYBf0KEAgPagRKfYoQGElqIU6+ChADGMLQQ76KECcxJytS/ooQBTKripc/ChAia++amz+KEDo+bltfAApQFowjjOMAilAONwovJsEKUB01qcckwUpQI5OXceqBilArxEmXbkIKUCLD0K2xwopQO0Dn9LVDClAz6wqsuMOKUBWytJU8RApQN1JRPgXESlAM+emTf4SKUDCwYoBCxUpQOxAF3kXFylAy1Y6tCMZKUCk9+GyLxspQEW94NOcHClA1JA9UjsdKUAZCoNlRh8pQDd72DxRISlA9Qks2FsjKUAz3ms3ZiUpQPIhhlpwJylArjB9ryEoKUBeocD3eSkpQG1CazODKylATy57M4wtKUAawN73lC8pQPNUhICdMSlAF0xazaUzKUAXpBmLpjMpQHAgAXKtNSlA/GFM27Q3KUBmUVIJvDkpQIx+AfzCOylAYntIs8k9KUB/F7ZmKz8pQCCOdg3QPylAMm1v5NVBKUBlq4mA20MpQPIKtOHgRSlAE1DdB+ZHKUANQfTy6kkpQOiKUkKwSilArSxhY+9LKUBuNvVx800pQOjv/0X3TylAOU9w3/pRKUCQTDU+/lMpQA7iPWIBVilAUP7uHTVWKUBuirTxA1gpQLKM+DwGWilAZKEITghcKUA18tMkCl4pQMaqScELYClAunGL+blhKUCHRpgTDWIpQBaBYtoNZClA9uheZw5mKUAB2Xy6DmgpQAWuq9MOailAzMbasg5sKUAi5SfVPm0pQLt7tTEObilA8w/fPg1wKUBuKJASDHIpQNNSuKwKdClAuh5HDQl2KUCoHSw0B3gpQItYxLDDeClAeQ2q5wR6KUBITSNAAnwpQNN9eV//fSlANF+cRfx/KUBys3vy+IEpQIM+B2b1gylA88tgjEiEKUCRtgJW8YUpQKBNsP7shylAtViQbuiJKUAPypKl44spQNSVp6PejSlAXT/9Z82PKUCfirNm2Y8pQG/P1pzTkSlAmQGSms2TKUA=\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[2899]},\"Bnull_Bvals\":{\"__ndarray__\":\"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tes\":{},\"id\":\"3603\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"3604\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"3625\",\"type\":\"UnionRenderers\"}],\"root_ids\":[\"3193\"]},\"title\":\"Bokeh Application\",\"version\":\"2.4.2\"}};\n", " const render_items = [{\"docid\":\"fbf7aea8-d6d7-406c-aded-3e3c5c373d70\",\"root_ids\":[\"3193\"],\"roots\":{\"3193\":\"beebb5ce-6197-46d8-84ee-28b8065779e6\"}}];\n", " root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n", "\n", " }\n", " if (root.Bokeh !== undefined) {\n", " embed_document(root);\n", " } else {\n", " let attempts = 0;\n", " const timer = setInterval(function(root) {\n", " if (root.Bokeh !== undefined) {\n", " clearInterval(timer);\n", " embed_document(root);\n", " } else {\n", " attempts++;\n", " if (attempts > 100) {\n", " clearInterval(timer);\n", " console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n", " }\n", " }\n", " }, 10, root)\n", " }\n", "})(window);" ], "application/vnd.bokehjs_exec.v0+json": "" }, "metadata": { "application/vnd.bokehjs_exec.v0+json": { "id": "3193" } }, "output_type": "display_data" } ], "source": [ "params = BSParams()\n", "params.alpha = 0.2\n", "params.beta = 15\n", "params.Kd = 1\n", "params.n = 1\n", "params.r = 1\n", "params.m = 1\n", "params.kappa = 1\n", "params.gamma = 1\n", "\n", "Amin = params.alpha*0.01\n", "Amax = rangescale*params.beta\n", "Bmin = params.r*params.alpha*0.01\n", "Bmax = rangescale*params.m*params.beta\n", "\n", "A_nullcline, B_nullcline = get_nullclines(params)\n", "stable_fps, unstable_fps = get_fixed_points(A_nullcline, B_nullcline, params)\n", "\n", "cdsA = bokeh.models.ColumnDataSource(dict(Anull_Avals=A_nullcline[:,0], Anull_Bvals=A_nullcline[:,1]))\n", "cdsB = bokeh.models.ColumnDataSource(dict(Bnull_Avals=B_nullcline[:,0], Bnull_Bvals=B_nullcline[:,1]))\n", "cds_stable_fps = bokeh.models.ColumnDataSource(dict(x=stable_fps[:,0], y=stable_fps[:,1]))\n", "cds_unstable_fps = bokeh.models.ColumnDataSource(dict(x=unstable_fps[:,0], y=unstable_fps[:,1]))\n", "\n", "# Build the plot\n", "p = biocircuits.phase_portrait(\n", " dAtot_dt,\n", " dBtot_dt,\n", " [Amin, Amax],\n", " [Bmin, Bmax],\n", " (alpha, beta, n, Kd),\n", " (alpha, beta, n, Kd),\n", " x_axis_label=\"dimensionless A_tot\",\n", " y_axis_label=\"dimensionless B_tot\",\n", " color=\"gray\",\n", " plot_width=450,\n", ")\n", "p.line(source=cdsA, x=\"Anull_Avals\", y=\"Anull_Bvals\", line_width=2, legend_label='A_tot nullcline')\n", "p.line(source=cdsB, x=\"Bnull_Avals\", y=\"Bnull_Bvals\", line_width=2, color='orange', legend_label='B_tot nullcline')\n", "p.circle(\n", " source=cds_stable_fps,\n", " x=\"x\",\n", " y=\"y\",\n", " color=\"black\",\n", " size=10,\n", " line_width=1\n", ")\n", "p.circle(\n", " source=cds_unstable_fps,\n", " x=\"x\",\n", " y=\"y\",\n", " color=\"white\",\n", " line_color=\"black\",\n", " size=10,\n", " line_width=1\n", ")\n", "\n", "# Calculate separatrices\n", "for ufp in unstable_fps:\n", " p = plot_separatrix(ufp[0], ufp[1], [Amin, Amax],[Bmin, Bmax], params, p, eps=1e-1)\n", "\n", "bokeh.io.show(p)" ] }, { "cell_type": "markdown", "id": "d15e27fc-bb7e-4602-9311-472cd2a793c2", "metadata": {}, "source": [ "The separatrices mark the boundaries between the basins of attraction, as expected. You can see how trajectories that start on different sides of the separatrix approach different stable fixed points. Using this approach, it is possible to plot the MultiFate-2 phase portrait in a range of different parameter regimes. By doing so, one can see that this simple circuit can produce a wide array of different stability behaviors, from monostability to quadrastability: \n", "\n", "
\n", "\n", "![MultiFate-2_Other_Regimes.png](figs/MultiFate-2_Other_Regimes.png)\n", "\n", "
\n", "\n", "These are just the symmetric systems. Allowing asymmetric regimes, in which A and B can take on different production rates or other parameters, generates an even larger space of dynamical behaviors. \n", "\n", "Taken together, this analysis shows that MultiFate should be able to produce a variety of different types of multistability. " ] }, { "cell_type": "markdown", "id": "44cb2316-859f-48ae-a134-f3b269ba9db9", "metadata": {}, "source": [ "## Building MultiFate\n", "\n", "Will MultiFate indeed generate multistability in cells? And, could it provide some of the key capabilities expected of an ideal cell differentiation circuit, such as multistability, state-switching, control of state stability, and expandability? To find out, Zhu et al. constructed an experimental implementation of the MultiFate-2 circuit. \n", "\n", "The key components required to build MultiFate are transcription factors that activate only as homodimers and inhibit each other through heterodimerization. Zinc finger DNA-binding proteins (below, left) provided an ideal type of engineerable DNA binding protein. They are comprised of modular domains (fingers) that bind to specific 3bp sequences an can be concatenated to recognize longer sites. They can thus be designed to recognize specific DNA binding sites. \n", "\n", "In MultiFate, only the homodimers activate. To achieve this, the authors took 3-finger proteins that recognize 9bp target sites, and fused them to a transcriptional activation domain. As shown schematically (below, middle), 9bp is too short for efficient binding by the monomeric proteins. However, further incorporating a homodimerization domain caused the proteins to pair up as homodimers that efficiently recognize the combined 18bp double target site, and therefore activate efficiently. In fact, the homodimers activated more strongly than the monomers (leftmost pair of bars, below right). Furthermore, incorporation of a additional mutations in the DNA binding domains reduced activation by the monomers while preserving activation by the homodimers. In particular, notice how two arginine to alanine mutations (R2AR39A) reduced activation by monomers but not dimers. \n", "\n", "
\n", "\n", "![dimer-dependent-activity-full.png](figs/dimer-dependent-activity-full.png)\n", "\n", "
\n", "\n", "To enable systematic exploration of different parameter regimes, one would ideally like to be able to directly modulate key parameters, such as dimerization strength, protein stability, and \"leaky\" basal transcription, using small molecules as \"control knobs.\" The authors added three such knobs to the system. \n", "* First, as a dimerization domain, they used an FKBP variant that dimerizes only in the presence of the drug AP1903. This allows one to control the effective binding affinity $K_d$ by varying the AP1903 concentration in the media. \n", "* Second, they attached a modular degron from the Dihydrofolate reductase (DHFR) protein (bullseye shape in diagram). This degradation signal targets the proteins for degradation, but can be inhibited by the small molecule antibiotic, trimethoprim (TMP). Thus, the concentration of TMP in the media controls the stability of the transcription factors. (Note that in the nondimensionalized model, $\\delta$ is lumped into the nondimensional parameters $\\tilde{\\alpha} \\leftarrow \\alpha/(K_M \\delta)$ and $\\tilde{\\beta} \\leftarrow \\beta/(K_M \\delta)$, so that modulating the protein's degradation corresponds to scaling $\\tilde{\\alpha}$ and $\\tilde{\\beta}$ by the same factor.)\n", "* Third, they engineered a direct \"override\" into the circuit, through which one can force expression of the transcription factor. This was implemented with binding sites for standard inducible proteins just upstream of the zinc finger binding sites. \n", "\n", "\n", "In addition to controlling these components, one also would like to read out their concentrations. For this purpose, a fluorescent protein such as mCitrine was incorporated downstream of the gene. \n", "\n", "This diagram visually summarizes the design of one of a MultiFate transcription factor cassette. \n", "\n", "
\n", "\n", "![Design of the synthetic transcription factors for MultiFate](figs/MultiFate_TF_Design.png)\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "0a49b895-ee44-458e-9e48-cf47d3f23630", "metadata": {}, "source": [ "## Testing MultiFate\n", "\n", "To test out the circuit, Zhu et al integrated two such cassettes with two distinct zinc finger proteins and fluorescent proteins (the greenish mCitrine and the red mCherry) into cells. Different cells received different numbers of copies of these genes integrated at different locations. In this way, each cell and its clonal descendants probed different values of the $\\alpha$ and $\\beta$ parameters for each of the two genes.\n", "\n", "
\n", "\n", "![Inserting MultiFate-2 into cells](figs/circuit_into_CHO.png)\n", "\n", "
\n", "\n", "With these cells, the moment of truth was at hand: would MultiFate-2 provide multistability? When the cells were cultured without the inducers, both proteins were quite low, as seen in flow cytometry measurements. But when AP1903 and TMP were added to turn on dimerization and stabilize the proteins—voila!—the cells shifted into three distinct clusters:\n", "\n", "
\n", "\n", "![MultiFate-2_Trimodality.png](figs/MultiFate-2_Trimodality.png)\n", "\n", "
\n", "\n", "This looked eerily similar to the tristable regime described in the model!\n", "\n", "But the appearance of three clusters alone does not prove tristability. To rigorously test stability, cells in each cluster were sorted out and cultured continuously, with periodic analysis of the distribution. If they are stable, then the distribution should not change over time. This is indeed what happened:\n", "\n", "
\n", "\n", "![MultiFate-2_stable_for_18d.png](figs/MultiFate-2_stable_for_18d.png)\n", "\n", "
\n", "\n", "This behavior is most directly visualized in the following movie, in which individual cells in each of the three states were plated down together. Cells in the A-only and B-only states are shown in green and red, while cells in the AB state have a combination of both colors and appear yellow. You can see directly how the state (color) is faithfully preserved as cells grow into colonies.\n", "\n", "
\n", "\n", "\n", "\n", "
\n", "\n", "Evidently, MultiFate-2 can indeed produce tristability. And other MultiFate-2 clones produced other behaviors as well." ] }, { "cell_type": "markdown", "id": "e5dcf30d-e5a0-4ba6-a710-f5aecb0b640f", "metadata": {}, "source": [ "### Irreversible differentiation (hysteresis)\n", "\n", "A striking feature in natural cell fate control systems is the appearance of irreversible or hysteretic transitions, in which a cell can differentiate into one or more new fates, perhaps in response to a signal, but does not (under normal conditions) de-differentiate back to its previous state. One of the best studied examples of this is the [maturation of Xenopus oocytes](https://doi.org/10.1016/j.febslet.2009.10.068) in response to the hormone progesterone, beautifully studied by James Ferrell and colleauges. Another example is the differentiation of embryonic stem cells. \n", "\n", "MultiFate can produce a similar type of irreversible differentiation. \n", "\n", "Reducing the stability of the proteins (increasing $\\delta$ in the model) produces a bistable regime, with A-only and B-only attractors but no AB attractor. Imagine starting in the AB state of the tristable regime (high TMP), and then transiently switching to the bistable regime, by reducing TMP concentration to destabilize the transcription factors. What happens? The AB cells which were happily populating a stable attractor suddenly find themselves in an unstable situation. The only attractors in the system now have A or B expression but not both. With no other choice, the cells will go to one or the other of these two states. Later, if we restore the system to the tristable regime, the AB attractor comes back. But the cells do not. They remain stuck in their new A-only and B-only states. All of this is best seen through an animation of the model:\n", "\n", "\n", "\n", "
\n", "\n", "\n", "\n", "
\n", "\n", "\n", "Remarkably, the same behavior occurs in the real cells as well. In the following diagram, the four circles represent the fraction of cells in states that have low or high expression of gene A (x-axis) or B (y-axis). You can see the AB state depopulating at low TMP and not re-populating when TMP is restored. \n", "\n", "
\n", "\n", "![MultiFate toggling between states experimentally](figs/MultiFate_Experimental_Toggling.png)\n", "\n", "
\n", "\n" ] }, { "cell_type": "markdown", "id": "25b792e7-f7ac-4c75-b367-f69133076020", "metadata": {}, "source": [ "## MultiFate expands\n", "\n", "Three states is nice. Seven states is nicer. One of the key advantages of the MultiFate architecture is that it can be expanded by plugging in additional transcription factors to an existing circuit. This works because all of the interactions between factors occur at the protein level (rather than through transcriptional regulation). \n", "\n", "
\n", "\n", "![MultiFate-3](figs/MultiFate-3.png)\n", "\n", "
\n", "\n", "The model for MultiFate-3 can be obtained by extending the MultiFate-2 model in a straightforward way. First, we add one new differential equation for the third transcription factor, $C$, exactly like those for $A$ and $B$: \n", "\n", "\\begin{align}\n", "\\frac{\\mathrm{d}[A_{tot}]}{\\mathrm{d}t} &= \\alpha + \\frac{\\beta [A_2]^n}{1 + [A_2]^n} - [A_{tot}] \\\\\n", "\\frac{\\mathrm{d}[B_{tot}]}{\\mathrm{d}t} &= \\alpha + \\frac{\\beta [B_2]^n}{1 + [B_2]^n} - [B_{tot}] \\\\\n", "\\frac{\\mathrm{d}[C_{tot}]}{\\mathrm{d}t} &= \\alpha + \\frac{\\beta [C_2]^n}{1 + [C_2]^n} - [C_{tot}] \n", "\\end{align}\n", "\n", "Second, we modify the protein dimerization expressions. This turns out to be easy because the new factor, $C$, enters the dimerization equations exactly the same way as $A$ and $B$. Wherever we had $[A_{tot}] + [B_{tot}]$ above, we throw in $[C_{tot}]$ as well:\n", "\n", "\\begin{align}\n", "[A_2] &= \\frac{2[A_{tot}]^2}{K_d + 4\\left( [A_{tot}] + [B_{tot}] + [C_{tot}] \\right) + \\sqrt{K_d^2 + 8\\left([A_{tot}] + [B_{tot}] + [C_{tot}]]\\right)K_d}} \\\\\n", "[B_2] &= \\frac{2[B_{tot}]^2}{K_d + 4\\left( [A_{tot}] + [B_{tot}] + [C_{tot}] \\right) + \\sqrt{K_d^2 + 8\\left([A_{tot}] + [B_{tot}] + [C_{tot}]]\\right)K_d}} \\\\\n", "[C_2] &= \\frac{2[C_{tot}]^2}{K_d + 4\\left( [A_{tot}] + [B_{tot}] + [C_{tot}] \\right) + \\sqrt{K_d^2 + 8\\left([A_{tot}] + [B_{tot}] + [C_{tot}]]\\right)K_d}} \\\\\n", "\\end{align}\n", "\n", "Of course, we now have a 3D phase diagram, which can be more difficult to visualize. In the following animation, the 3D diagram with shaded basins of attraction is shown in a rotating view. One can see that for the same parameters that produced tristability in MultiFate-2, we now have septastability (7 states) with MultiFate-3. The states include single transcription factor expression, all pairs, and a state with all three factors on simultaneously:\n", "\n", "
\n", "\n", "\n", "\n", "
\n", "\n", "Does this really happen? To find out, Zhu et al added a third zinc finger, in a third color (displayed in the blue channel) to the existing MultiFate-2 circuit. Indeed, all 7 predicted states occurred, and were stable, as you can see in this movie, where the three proteins are displayed in the red, green, and blue channels and each state therefore has a unique color combination:\n", "\n", "MultiFate-3-MovieS5_MF3movie.mp4\n", "\n", "
\n", "\n", "\n", "\n", "
\n", "\n", "\n", "\n", "Having demonstrated that a 2-gene MultiFate circuit exhibits the desired stability and controllability properties for a differentiation circuit, Zhu et al. then demonstrated the MultiFate architecture's expandability by constructing and measuring the performance of a 3-gene MultiFate circuit. Through mathematical modeling they were able to determine that the 3-gene circuit could exhibit septastability (the coexistence of seven stable fixed points), and through experimental measurements they were able to determine that cells that started in each of these seven states persisted within these states for at least 18 days in the absence of external control signals.\n", "\n", "
\n", "\n", "![Various multistable regimes for a 3-gene MultiFate circuit](figs/MultiFate3_Modeling.png)\n", "\n", "
\n", "\n", "With MultiFate, in experiments as well as in the model, the number of states increases faster than the number of transcription factors. This is essential to achieve very large numbers of states." ] }, { "cell_type": "markdown", "id": "a4046be9-f2af-4b4a-9668-6225eae62afa", "metadata": {}, "source": [ "## Progressive differentiation\n", "\n", "A classic theme in natural cell fate control systems is the occurrence of branching fate decisions, exemplified by this illustration of cell fate diversification in the hematopoietic system ([Antoniani et al](https://doi.org/10.1002/sctm.17-0192)):\n", "\n", "
\n", "\n", "![HSC_differentiation.png](figs/HSC_differentiation.png)\n", "\n", "
\n", "\n", "MultiFate-3 can perform something roughly similar. If we progressively reduce protein stability by increasing $\\delta$ in the model, then we progressively destabilize certain states, forcing binary decisions. To see this, we can plot the MultiFate-3 phase diagram at different stabilities. The following simulation starts in the full septastable regime. Then stability is suddenly reduced, eliminating the triple positive ABC state. Cells starting in that state migrate to the double positive states: AB, BC, and AC. Then, just as they are getting comfortable, we can further reduce protein stability. Now the double positive states become unstable as well, and cells migrate to the A-only, B-only, and C-only states. In this way, varyiung one parameter can cause a progressive series of decisions. \n", "\n", "
\n", "\n", "\n", "\n", "
\n", "\n", "Remarkably, this occurs not only in the model but in the real system as well (see [Zhu et al](https://doi.org/10.1126/science.abg9765)). " ] }, { "cell_type": "markdown", "id": "44832b24-b5d6-4428-ab28-c05106647494", "metadata": {}, "source": [ "### Scaling: how far can it go? \n", "\n", "A final question we can ask in the model is how far can MultiFate scale? How many states can it generate? To address this question, one can analyze MultiFate models with increasing numbers of transcription factors. In addition to counting the number of stable fixed points, we can also quantify the relative sizes of their basins of attraction to make sure they are really accessible. Zhu et al performed this analysis. As shown in the next plot, the number of states initially grows exponentially with the number of factors. Eventually it starts to saturate. The reason for this turns out to be interesting. In the MultiFate architecture, only the homodimers are active. For a state with a certain number, $m$ of transcription factors simultaneously expressed, there are $~m^2$ dimer complexes but only $m$ of those are active. So the fraction of all species that are active decreases as $~1/m$. This eventually limits the total number of states. Nevertheless, for the parameters in the model, it still reaches hundreds of states!\n", "\n", "
\n", "\n", "![MultiFate_scaling.png](figs/MultiFate_scaling.png)\n", "\n", "
\n", "\n", "It will be interesting to see how far MultiFate can scale, which aspects of MultiFate occur in natural fate control systems, and what advantages other architecture might also provide.\n" ] }, { "cell_type": "markdown", "id": "d65742ba-f1d7-44d5-88a8-613bd5deb98d", "metadata": {}, "source": [ "\n", "" ] }, { "cell_type": "markdown", "id": "a96c9a6f-a559-4431-af9d-5dee0be04b79", "metadata": {}, "source": [ "## Conclusion\n", "\n", "Multicellular organisms are built from multiple cells in multiple states. Understanding how those states are established, stabilized, and controlled remains a fundamental biological challenge. Natural circuits appear to combine combinatorial dimerization and positive autoregulation—two circuit level features we have already encountered. The synthetic MultiFate circuit shows that these two features together provide a scalable architecture for multistability with many features that are reminescent of natural cell fate control systems. Additional mechanisms are almost certain to play critical roles. Nevertheless, this approach reveals that multistability can be engineered, and provokes a range of questions about how combinations of transcription factors work to specify fates and their transitions. Above, the knobs used to experimentally control the state of the MultiFate circuit were external, based on small molecules. In future iterations, a larger circuit may be able to control these dynamics autonomously or in response to signals from other cells, similar to the behaviors observed during the development of multicellular organisms. Achieving this vision will likely require uncovering additional design principles for multicellularity. \n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.12" } }, "nbformat": 4, "nbformat_minor": 5 }