{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Short-Term Synaptic Plasticity\n", "\n", "*Written by Tyler Banks for the Neural Engineering Lab at the University of Missouri*\n", "\n", "## Intro\n", "Short-term synaptic plasticity (or short-term plasticity [STP]) is a phenomenon in which synaptic efficacy changes over time in response to previous presynaptic occurances.\n", "\n", "Two types of STP have been observed:\n", "\n", "* **Short-Term Depression** (STD)\n", "* **Short-Term Facilitation** (STF)\n", "\n", "Short-Term Depression is caused by depletion of neurotransmitters at the axon terminal while Short-Term Facilitation is caused by calcium influx into the axon terminal after a spike. This increases the release probablility of neurotransmitters.\n", "\n", "STP typically occurs on the order of hundereds to thousands of milliseconds and is temporary. Without activity the synapse will quickly return to basline levels.\n", "\n", "STP may serve as a substrate for processing temporal information. The response of a post-synaptic neuron depends on the history of the presynaptic activity. This information could theoretically be extracted for use. STP can enrich computational studies, allowing networks to produce capabilities difficult to be seen using static connections.\n", "\n", "## Simulating STP\n", "\n", "We'll begin our simulations with a single Hodgkin-Huxley neuron connected via standard Exp2Syn synapse. There are no short-term plasticity elements involved yet. The neuron is subjected to 20 Hz of uniform input for 500 ms.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import sim\n", "sim.plot_hh_stsp(syn_d1=1,syn_d2=1,syn_f=1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### STP Factor\n", "\n", "For the most part we can leave our current Exp2Syn synapse alone. We'll need to compute an impact factor (facfactor) that will be multiplied by current (i) output equation:\n", "\n", "```\n", "i = g_syn*(voltage - synapse_reversal)*facfactor\n", "```\n", "\n", "Intuitively we realize that both depression and facilitation are dependent on the previous spike time as well as the current state of the system. The above facfactor will need to be a value between 0 and infinity, where anything less than 1 will result in depression and anything above will cause synaptic facilitation. Our solution is based on [Varela et al. (1997)](http://dx.doi.org/10.1523/JNEUROSCI.17-20-07926.1997) and takes the form:\n", "\n", "\\begin{align}\n", "F_1 & = 1 + (F_1 - 1) * e^{(t_0)/\\tau_F} \\\\\n", "D_1 & = 1 - (1 - D_1) * e^{(t_0)/\\tau_D} \\\\\n", "f & = F_1 * D_1\n", "\\end{align}\n", "\n", "Where ```t0``` is the time since the last spike\n", "\n", "We can then re-write this as pseudocode for our implementation:\n", "\n", "```\n", "Facilitation = 1 + (Facilitation-1)* exp(-(current_time - last_synapse_time)/tauFacilitation)\n", "Depression = 1 - (1-Depression)*exp(-(current_time - last_synapse_time)/tauDepression)\n", "\n", "facfactor = Facilitation * Depression\n", "```\n", "\n", "Initially, Facilitation and Depression are set to 1 and 0 respectively, resulting in no effect on synaptic conductance.\n", "\n", "After the facfactor has been computed we can complete the system by multiplying each Facilitation and Depression variable by an impact factor ```f``` and ```d```. These will determine the strength/effect on the next synapse.\n", "\n", "```\n", "Facilitation = Facilitation * f\n", "Depression = Depression * d\n", "```\n", "\n", "Facilitation or Depression can then be bound to an upper value through the following statement\n", "\n", "```\n", "if(Facilitation > 30){\n", " F = 30\n", " }\n", "```\n", "\n", "Our completed model can be seen below. Here, there are two depression factors (D1 and D2), one is a slow depression and the other is fast acting but more powerful.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import sim\n", "sim.plot_hh_stsp()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Interactive Example\n", "\n", "To experiment with the effects of STP, run the following code and modify the widget sliders below. See how changing the depression and facilitation factors and their associated tau impact the cell's membrane potential.\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a9d14e1c8d0348f6bf6c2b01e6ac3f30", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=130, description='syn_tauD1', max=1000, min=1, step=10), FloatSlider(val…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "import sim\n", "from ipywidgets import interactive\n", "\n", "interactive(sim.plot_hh_stsp, \n", " syn_tauD1=(1,1000,10), syn_d1=(0,1,.05), \n", " syn_tauD2=(1,1000,10), syn_d2=(0,1,.05), \n", " syn_tauF=(1,1000),syn_f=(1,2,.05),\n", " stim1_start= (0,1000,50), stim1_frequency=(1,50,1), stim1_duration=(0,1000,50))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## BMTK Model\n", "\n", "This implementation has also been modeled using BMTK, see the ```bmtk_model``` folder for more." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 2 }