{ "metadata": { "name": "", "signature": "sha256:d7b0aa7ecf596b74695f2672f1999df68f0f24f75c4d4674e87e7cb37d469468" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "code", "collapsed": false, "input": [ "import IPython.core.display as disp\n", "%run nb_init.py\n" ], "language": "python", "metadata": { "slideshow": { "slide_type": "skip" } }, "outputs": [ { "output_type": "stream", "stream": "stderr", "text": [ "2015-01-26 09:46:39,187 -leg_joint -INFO -successfully imported leg_joint\n" ] } ], "prompt_number": 2 }, { "cell_type": "heading", "level": 1, "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "A model of leg joint formation in the drosophila pupa" ] }, { "cell_type": "heading", "level": 2, "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Objectives of the model" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "We are building a minimal model of the **apical junctions network** in the drosophila leg disk epithelium. We want do be able to model not only topological modifications of the apical juncitions but also geometrical changes, as we seek to understand how cell death -- or [apoptosis](http://en.wikipedia.org/wiki/Apoptosis) -- leads to the appearance of a fold in the developing leg disk and further on the leg articulation.\n", "\n", "Bellow is a vue of the leg disk apical junctions *via* a fluorescent [cadherin](http://en.wikipedia.org/wiki/cadherin) marker.\n" ] }, { "cell_type": "code", "collapsed": false, "input": [ "disp.SVG(lj.data.get_image('apical_view_junctions.svg'))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "pyout", "prompt_number": 3, "svg": [ "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " image/svg+xml\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "" ], "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "View of the apical junctions of the leg disk.\n", "\n", "E-Cadh GFP - maximum intensity projection of a 3D confocal stack - full width of the image is about 200 \u00b5m" ] }, { "cell_type": "heading", "level": 2, "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "\n", "The reference framework: a 2D model of wing disk apical junctions network\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "subslide" } }, "source": [ "Our model is a 3D generalization of the model developed by [Farhadifar et al.](http://www.sciencedirect.com/science/article/pii/S0960982207023342).\n", "\n", "The objective of this project is to model an other imaginal disk, the leg disk. Both tissues are very close biologicaly, as they pertain to the same stage of the drosophila development." ] }, { "cell_type": "code", "collapsed": false, "input": [ "disp.Image(lj.data.get_image('faradifar_model.jpeg'))" ], "language": "python", "metadata": { "slideshow": { "slide_type": "subslide" } }, "outputs": [ { "jpeg": 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mmFZhmTj7ef6Xuku0C6ylSbcvT717chENmdaFNiM8eQQC64nCgQQUpKwnpvJy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\ntHbHpO6XHRd5iwol2jvPvOMEIbQlYJUT5AV37qaC9c7DMgR1IS683tS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"metadata": {}, "output_type": "pyout", "prompt_number": 9, "text": [ "" ] } ], "prompt_number": 9 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This vertex model computes each cell energy based on its geometrical properties:\n", "\n", "* its area\n", "* its perimeter\n", "* the length of the junctions (the frontier) between two cells\n", "\n", "The junction network configuration is found by minimizing this energy locally each time a topological change occurs in the tissue, such as a cell division or an intercalation event." ] } ], "metadata": {} } ] }