{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# NESTML STDP windows tutorial\n", "\n", "In this tutorial, we will plot the \"window function\", relating the weight change of a synapse to the relative timing of a single pair of pre- and postsynaptic spikes. This type of synaptic plasticity is commonly known as spike-timing depdendent plasticity (STDP)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " -- N E S T --\n", "\n", " Copyright (C) 2004 The NEST Initiative\n", "\n", " Version: 3.9.0-post0.dev14\n", " Built : Apr 15 2026 13:28:55\n", "\n", " This program is provided AS IS and comes with NO WARRANTY.\n", " See the file LICENSE for details.\n", "\n", " Problems or suggestions?\n", " Visit https://www.nest-simulator.org\n", "\n", " Type 'nest.help()' to find out more about NEST.\n", "\n" ] } ], "source": [ "%matplotlib inline\n", "import matplotlib as mpl\n", "mpl.rcParams[\"axes.formatter.useoffset\"] = False\n", "import matplotlib.pyplot as plt\n", "import nest\n", "import numpy as np\n", "\n", "from pynestml.codegeneration.nest_code_generator_utils import NESTCodeGeneratorUtils\n", "from pynestml.codegeneration.nest_tools import NESTTools" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "## Preliminaries\n", "\n", "Experiments have shown that synaptic strength changes as a function of the precise spike timing of the presynaptic and postsynaptic neurons. If the pre neuron fires an action potential strictly before the post neuron, the synapse connecting them will be strengthened (“facilitated”). If the pre neuron fires after the post neuron, the synapse will be weakened (“depressed”). The depression and facilitation effects become stronger when the spikes occurred closer together in time. This is illustrated by empirical results (open circles), fitted by exponential curves (solid lines).\n", "\n", "\n", "
\n", "\n", "
\n", "\n", "*Asymmetric STDP learning window. Spike-timing window of STDP for the induction of synaptic potentiation and depression characterized in hippocampal cultures. Data points from Bi and Poo (1998) [18], represent the relative change in the amplitude of EPSC after repetitive correlated activity of pre-post spike pairs. The LTP (+) and LTD (-) windows are fitted by the exponential function ∆g = A ± exp(−|∆t|/τ), with parameters A + = 0.86, A − = −0.25, τ + = 19 ms, and τ − = 34 ms. Adopted from Bi and Wang (2002).*\n", "\n", "We will define the theoretical model following [3]_.\n", "\n", "A pair of spikes in the input and the output cell, at times $t_i$ and $t_j$ respectively, induces a change $\\Delta w$ in the weight $w$:\n", "\n", "\\begin{equation}\n", "\\Delta^\\pm w = \\pm \\lambda \\cdot f_\\pm(w) \\cdot K(|t_o - t_i|)\n", "\\end{equation}\n", "\n", "The weight is increased by $\\Delta^+ w$ when $t_o>t_i$ and decreased by $\\Delta^- w$ when $t_i>t_o$. The temporal dependence of the update is defined by the filter kernel $K$ which is taken to be $K(t) = \\exp(-t/\\tau)$. The coefficient $\\lambda\\in\\mathbb{R}$ sets the magnitude of the update. The functions $f_\\pm(w)$ determine the relative magnitude of the changes in the positive and negative direction. These are here taken as\n", "\n", "\\begin{align}\n", "f_+(w) &= 1\\\\\n", "f_-(w) &= \\alpha\n", "\\end{align}\n", "\n", "with the parameter $\\alpha\\in\\mathbb{R}, \\alpha>0$ allowing to set an asymmetry between increasing and decreasing the synaptic efficacy.\n", "\n", "To implement the kernel, we use two extra state variables to keep track of recent spiking activity. These could correspond to calcium concentration in biology. One presynaptic trace value and another postsynaptic trace value is used, for pre- and post spiking, respectively. These maintain a history of neuron spikes, being incremented by 1 whenever a spike is generated, and decaying back to zero exponentially; in other words, a convolution between the exponentially decaying kernel and the emitted spike train:\n", "\n", "\\begin{equation}\n", "\\mathrm{tr\\_pre} = K \\ast \\sum_i \\delta_{pre,i}\n", "\\end{equation}\n", "\n", "and\n", "\n", "\\begin{equation}\n", "\\mathrm{tr\\_post} = K \\ast \\sum_i \\delta_{post,i}\n", "\\end{equation}\n", "\n", "These are implemented in the NESTML model as follows:\n", "\n", "```\n", "equations:\n", " # all-to-all trace of presynaptic neuron\n", " kernel pre_tr_kernel = exp(-t / tau_tr_pre)\n", " inline pre_tr real = convolve(pre_tr_kernel, pre_spikes)\n", "\n", " # all-to-all trace of postsynaptic neuron\n", " kernel post_tr_kernel = exp(-t / tau_tr_post)\n", " inline post_tr real = convolve(post_tr_kernel, post_spikes)\n", "```\n", "\n", "with time constants defined as parameters:\n", "\n", "```\n", "parameters:\n", " tau_tr_pre ms = 20 ms\n", " tau_tr_post ms = 20 ms\n", "```\n", "\n", "With the traces in place, the weight updates can then be expressed closely following the mathematical definitions.\n", "\n", "Begin by defining the weight and its initial value:\n", "\n", "```\n", "state:\n", " w real = 1.\n", "```\n", "\n", "The update rule for facilitation:\n", "\n", "\\begin{equation}\n", "\\Delta^+ w = \\lambda \\cdot \\mathrm{pre\\_trace}\n", "\\end{equation}\n", "\n", "In NESTML, this rule is written in the `onReceive` event handler block. Statements in this block will be executed when the event occurs: in this case, receiving a presynaptic spike.\n", "\n", "```\n", "onReceive(post_spikes):\n", " # potentiate synapse\n", " w += lambda * pre_trace\n", "```\n", "\n", "The update rule for depression :\n", "\n", "\\begin{equation}\n", "\\Delta^- w = -\\alpha \\cdot \\lambda \\cdot \\mathrm{post\\_trace}\n", "\\end{equation}\n", "\n", "```\n", "onReceive(pre_spikes):\n", " # depress synapse\n", " w -= alpha * lambda * post_trace\n", "\n", " # deliver spike to postsynaptic partner\n", " emit_spike(w)\n", "```\n", "\n", "Finally, the remaining parameters are defined:\n", "\n", "```\n", "parameters:\n", " lambda real = .01\n", " alpha real = 1.\n", "```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generating code with NESTML\n", "\n", "### Formulating the model in NESTML\n", "\n", "To generate fast code, NESTML needs to process the synapse model together with the neuron model that will be its postsynaptic partner in the network instantiantion.\n", "\n", "In this tutorial, we will use a very simple integrate-and-fire neuron model, where arriving spikes cause an instantaneous increment of the membrane potential: the \"iaf_psc_delta\" model. The source code for the iaf_psc_delta model can be found at https://github.com/nest/nestml/blob/main/models/neurons/iaf_psc_delta_neuron.nestml.\n", "\n", "We now here define the NESTML source code for the STDP synaptic plasticity rule:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "nestml_stdp_model = \"\"\"\n", "model stdp_synapse:\n", "\n", " state:\n", " w real = 1.\n", "\n", " parameters:\n", " lambda real = .01\n", " tau_tr_pre ms = 20 ms\n", " tau_tr_post ms = 20 ms\n", " alpha real = 1\n", "\n", " equations:\n", " kernel pre_trace_kernel = exp(-t / tau_tr_pre)\n", " inline pre_trace real = convolve(pre_trace_kernel, pre_spikes)\n", "\n", " # all-to-all trace of postsynaptic neuron\n", " kernel post_trace_kernel = exp(-t / tau_tr_post)\n", " inline post_trace real = convolve(post_trace_kernel, post_spikes)\n", "\n", " input:\n", " pre_spikes <- spike\n", " post_spikes <- spike\n", "\n", " output:\n", " spike\n", "\n", " onReceive(post_spikes):\n", " # potentiate synapse\n", " w += lambda * pre_trace\n", "\n", " onReceive(pre_spikes):\n", " # depress synapse\n", " w -= alpha * lambda * post_trace\n", "\n", " # deliver spike to postsynaptic partner\n", " emit_spike(w)\n", " \n", " update:\n", " integrate_odes()\n", "\"\"\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "When NESTML is invoked, the C++ code is generated for the models, and then built (compiled) as a NEST extension module, which is then loaded into the NEST kernel at runtime using ``nest.Install()``.\n", "\n", "The resulting neuron and synapse model names are returned by the function, because when generating code for plastic synapses, there is typically a tight integration of the generated with code with that of the postsynaptic neuron model. For more information about this, please see the NESTML documentation section [Generating code for plastic synapses](https://nestml.readthedocs.io/en/latest/running/running_nest.html#generating-code-for-plastic-synapses). Hence, the resulting model names are composed of associated neuron and synapse partners, because of the co-generation, for example, ``\"stdp_synapse__with_iaf_psc_delta\"`` and ``\"iaf_psc_delta__with_stdp_synapse\"``." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " -- N E S T --\n", "\n", " Copyright (C) 2004 The NEST Initiative\n", "\n", " Version: 3.9.0-post0.dev14\n", " Built : Apr 15 2026 13:28:55\n", "\n", " This program is provided AS IS and comes with NO WARRANTY.\n", " See the file LICENSE for details.\n", "\n", " Problems or suggestions?\n", " Visit https://www.nest-simulator.org\n", "\n", " Type 'nest.help()' to find out more about NEST.\n", "\n", "\n", " -- N E S T --\n", "\n", " Copyright (C) 2004 The NEST Initiative\n", "\n", " Version: 3.9.0-post0.dev14\n", " Built : Apr 15 2026 13:28:55\n", "\n", " This program is provided AS IS and comes with NO WARRANTY.\n", " See the file LICENSE for details.\n", "\n", " Problems or suggestions?\n", " Visit https://www.nest-simulator.org\n", "\n", " Type 'nest.help()' to find out more about NEST.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING:Not preserving expression for variable \"V_m\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"refr_t\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"V_m\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"refr_t\" as it is solved by propagator solver\n" ] } ], "source": [ "module_name, neuron_model_name, synapse_model_name = \\\n", " NESTCodeGeneratorUtils.generate_code_for(\"../../../models/neurons/iaf_psc_delta_neuron.nestml\",\n", " nestml_stdp_model,\n", " post_ports=[\"post_spikes\"],\n", " codegen_opts={\"weight_variable\": {\"stdp_synapse\": \"w\"}})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Running the simulation in NEST\n", "\n", "Let's define a function that will instantiate a simple network with one presynaptic cell and one postsynaptic cell connected by a single synapse, then run a simulation and plot the results." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "def run_network(pre_spike_time, post_spike_time,\n", " module_name,\n", " neuron_model_name,\n", " synapse_model_name,\n", " resolution=1., # [ms]\n", " delay=1., # [ms]\n", " lmbda=1E-6,\n", " sim_time=None, # if None, computed from pre and post spike times\n", " synapse_parameters=None, # optional dictionary passed to the synapse\n", " fname_snip=\"\"):\n", "\n", " nest.ResetKernel()\n", " NESTTools.set_nest_verbosity(\"ERROR\")\n", " nest.print_time = False\n", " nest.Install(module_name)\n", " nest.SetKernelStatus({\"resolution\": resolution})\n", "\n", " wr = nest.Create(\"weight_recorder\")\n", " nest.CopyModel(synapse_model_name, \"stdp_nestml_rec\", {\"weight_recorder\": wr[0],\n", " \"w\": 1.,\n", " \"delay\": delay,\n", " \"receptor_type\": 0})\n", "\n", " # create spike_generators with these times\n", " pre_sg = nest.Create(\"spike_generator\",\n", " params={\"spike_times\": [pre_spike_time, sim_time - 10.]})\n", " post_sg = nest.Create(\"spike_generator\",\n", " params={\"spike_times\": [post_spike_time],\n", " \"allow_offgrid_times\": True})\n", "\n", " # create parrot neurons and connect spike_generators\n", " pre_neuron = nest.Create(\"parrot_neuron\")\n", " post_neuron = nest.Create(neuron_model_name)\n", "\n", " spikedet_pre = nest.Create(\"spike_recorder\")\n", " spikedet_post = nest.Create(\"spike_recorder\")\n", " #mm = nest.Create(\"multimeter\", params={\"record_from\" : [\"V_m\"]})\n", "\n", " nest.Connect(pre_sg, pre_neuron, \"one_to_one\", syn_spec={\"delay\": 1.})\n", " nest.Connect(post_sg, post_neuron, \"one_to_one\", syn_spec={\"delay\": 1., \"weight\": 9999.})\n", " nest.Connect(pre_neuron, post_neuron, \"all_to_all\", syn_spec={\"synapse_model\": \"stdp_nestml_rec\"})\n", " #nest.Connect(mm, post_neuron)\n", "\n", " nest.Connect(pre_neuron, spikedet_pre)\n", " nest.Connect(post_neuron, spikedet_post)\n", "\n", " # get STDP synapse and weight before protocol\n", " syn = nest.GetConnections(source=pre_neuron, synapse_model=\"stdp_nestml_rec\")\n", " if synapse_parameters is None:\n", " synapse_parameters = {}\n", " synapse_parameters.update({\"lambda\": lmbda})\n", " nest.SetStatus(syn, synapse_parameters)\n", "\n", " initial_weight = nest.GetStatus(syn)[0][\"w\"]\n", " np.testing.assert_allclose(initial_weight, 1)\n", " nest.Simulate(sim_time)\n", " updated_weight = nest.GetStatus(syn)[0][\"w\"]\n", "\n", " actual_t_pre_sp = nest.GetStatus(spikedet_pre)[0][\"events\"][\"times\"][0]\n", " actual_t_post_sp = nest.GetStatus(spikedet_post)[0][\"events\"][\"times\"][0]\n", "\n", " dt = actual_t_post_sp - actual_t_pre_sp\n", " dw = (updated_weight - initial_weight) / lmbda\n", "\n", " return dt, dw" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, we can run the experiment. We set the pre spike time to a constant (100 ms) and loop over values for the post spike time (25 to 175 ms).\n", "\n", "Note that the dendritic delay in this example has been set to 10 ms, to make its effect on the STDP window more clear: it is not centered around zero, but shifted to the left by the dendritic delay. Hint: play with the parameters a bit here and see the effects it has on the returned window." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "def plot_stdp_window(dt_vec, dw_vec, delay):\n", " fig, ax = plt.subplots(dpi=120)\n", " ax.scatter(dt_vec, dw_vec)\n", " ax.set_xlabel(r\"t_post - t_pre [ms]\")\n", " ax.set_ylabel(r\"$\\Delta w$\")\n", "\n", " for _ax in [ax]:\n", " _ax.grid(which=\"major\", axis=\"both\")\n", " _ax.grid(which=\"minor\", axis=\"x\", linestyle=\":\", alpha=.4)\n", " _ax.set_xlim(np.amin(dt_vec), np.amax(dt_vec))\n", "\n", " ylim = ax.get_ylim()\n", " ax.plot((np.amin(dt_vec), np.amax(dt_vec)), (0, 0), linestyle=\"--\", color=\"black\", linewidth=2, alpha=.5)\n", " ax.plot((-delay, -delay), ylim, linestyle=\"--\", color=\"black\", linewidth=2, alpha=.5)\n", " ax.set_ylim(ylim)\n", " plt.show()\n", " plt.close(fig)\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "def stdp_window(module_name, neuron_model_name, synapse_model_name, synapse_parameters=None):\n", " sim_time = 1000. # [ms]\n", " pre_spike_time = 100. #sim_time / 2 # [ms]\n", " delay = 10. # dendritic delay [ms]\n", "\n", " dt_vec = []\n", " dw_vec = []\n", " for post_spike_time in np.arange(25, 175).astype(float):\n", " dt, dw = run_network(pre_spike_time, post_spike_time,\n", " module_name,\n", " neuron_model_name,\n", " synapse_model_name,\n", " resolution=1., # [ms]\n", " delay=delay, # [ms]\n", " synapse_parameters=synapse_parameters,\n", " sim_time=sim_time)\n", " dt_vec.append(dt)\n", " dw_vec.append(dw)\n", " \n", " return dt_vec, dw_vec, delay" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/charl/julich/nest-simulator-install/lib/python3.11/site-packages/nest/lib/hl_api_helper.py:111: UserWarning:\n", "SetStatus() is deprecated and will be removed in a future version of NEST. Instead of SetStatus(nrns|conns, args), use nrns|conns.set(args).\n", "/home/charl/julich/nest-simulator-install/lib/python3.11/site-packages/nest/lib/hl_api_helper.py:111: UserWarning:\n", "GetStatus() is deprecated and will be removed in a future version of NEST. Instead of GetStatus(nrns|conns, args), use nrns|conns.get(args).\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt_vec, dw_vec, delay = stdp_window(module_name, neuron_model_name, synapse_model_name,\n", " synapse_parameters={\"alpha\": .5})\n", "\n", "plot_stdp_window(dt_vec, dw_vec, delay)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Symmetric LTP or LTD-only\n", "----------------------\n", "\n", "Depending on the frequency at which the spike pairing protocol is repeated, a symmetric potentiation-only window can occur for high repetition rates, whereas for low rates, a depression-only window is observed.\n", "\n", "Facilitation-only is easy to obtain without even changing the model:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt_vec, dw_vec, delay = stdp_window(module_name, neuron_model_name, synapse_model_name,\n", " synapse_parameters={\"alpha\": -1.})\n", "plot_stdp_window(dt_vec, dw_vec, delay)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Adapt the model to obtain the symmetric depression-only window." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Windowed STDP\n", "------------\n", "\n", "In this variant of the original STDP rule, we allow only spikes more than a few milliseconds apart to cause the weight to change. If the pre-post absolute $|\\Delta t|$ is smaller than some threshold, the weight change should be zero." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "nestml_windowed_stdp_model = \"\"\"\n", "model stdp_windowed_synapse:\n", "\n", " state:\n", " w real = 1.\n", " pre_nn_trace real = 0.\n", " post_nn_trace real = 0.\n", "\n", " parameters:\n", " lambda real = .01\n", " tau_tr_pre ms = 20 ms\n", " tau_tr_post ms = 20 ms\n", " alpha real = 1\n", " tau_recency_window_pre ms = 10 ms\n", " tau_recency_window_post ms = 10 ms\n", "\n", " equations:\n", " kernel pre_trace_kernel = exp(-t / tau_tr_pre)\n", " inline pre_trace real = convolve(pre_trace_kernel, pre_spikes)\n", "\n", " # all-to-all trace of postsynaptic neuron\n", " kernel post_trace_kernel = exp(-t / tau_tr_post)\n", " inline post_trace real = convolve(post_trace_kernel, post_spikes)\n", "\n", " pre_nn_trace' = -pre_nn_trace / tau_recency_window_pre\n", " post_nn_trace' = -post_nn_trace / tau_recency_window_post\n", "\n", " input:\n", " pre_spikes <- spike\n", " post_spikes <- spike\n", "\n", " output:\n", " spike\n", "\n", " onReceive(post_spikes):\n", " post_nn_trace = 1\n", "\n", " if pre_nn_trace < .7:\n", " # potentiate synapse\n", " w += lambda * pre_trace\n", "\n", " onReceive(pre_spikes):\n", " pre_nn_trace = 1\n", "\n", " if post_nn_trace < .7:\n", " # depress synapse\n", " w -= alpha * lambda * post_trace\n", "\n", " # deliver spike to postsynaptic partner\n", " emit_spike(w)\n", " \n", " update:\n", " integrate_odes()\n", "\"\"\"" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " -- N E S T --\n", "\n", " Copyright (C) 2004 The NEST Initiative\n", "\n", " Version: 3.9.0-post0.dev14\n", " Built : Apr 15 2026 13:28:55\n", "\n", " This program is provided AS IS and comes with NO WARRANTY.\n", " See the file LICENSE for details.\n", "\n", " Problems or suggestions?\n", " Visit https://www.nest-simulator.org\n", "\n", " Type 'nest.help()' to find out more about NEST.\n", "\n", "\n", " -- N E S T --\n", "\n", " Copyright (C) 2004 The NEST Initiative\n", "\n", " Version: 3.9.0-post0.dev14\n", " Built : Apr 15 2026 13:28:55\n", "\n", " This program is provided AS IS and comes with NO WARRANTY.\n", " See the file LICENSE for details.\n", "\n", " Problems or suggestions?\n", " Visit https://www.nest-simulator.org\n", "\n", " Type 'nest.help()' to find out more about NEST.\n", "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING:Not preserving expression for variable \"V_m\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"refr_t\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"V_m\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"refr_t\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"post_nn_trace__for_stdp_windowed_synapse_nestml\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"pre_nn_trace\" as it is solved by propagator solver\n" ] } ], "source": [ "module_name, neuron_model_name, synapse_model_name = \\\n", " NESTCodeGeneratorUtils.generate_code_for(\"../../../models/neurons/iaf_psc_delta_neuron.nestml\",\n", " nestml_windowed_stdp_model,\n", " post_ports=[\"post_spikes\"],\n", " codegen_opts={\"weight_variable\": {\"stdp_windowed_synapse\": \"w\"}})" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt_vec, dw_vec, delay = stdp_window(module_name, neuron_model_name, synapse_model_name)\n", "plot_stdp_window(dt_vec, dw_vec, delay)" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Symmetric inhibitory STDP\n", "--------------------\n", "\n", "\n", "
\n", "\n", "
\n", "\n", "The symmetric STDP window in the figure can be observed experimentally and was used to achieve a self-organised balance between excitation and inhibition in recurrent networks [4]_.\n", "\n", "In this synapse model, for illustration, we use a different approach than a decaying pre- and post-synaptic trace. Instead, we maintain the time stamps of the last arriving pre- and postsynaptic spikes. The STDP window can then be expressed directly in terms of the change in weight as a function of the time difference between arriving spike times. Notice the careful handling of the synaptic delay parameter with repect to ``t_last_post_spike``, which in NEST is interpreted as the somatic spike time; adding the delay converts it to the spike time as seen by the synapse." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "nestml_stdp_vogels_model = \"\"\"\n", "model stdp_vogels_synapse:\n", "\n", " state:\n", " w real = 1.\n", " t_last_pre_spike ms = -1 ms\n", " t_last_post_spike ms = -1 ms\n", "\n", " parameters:\n", " d ms = 1 ms # dendritic delay\n", " lambda real = .01\n", " offset real = 1.\n", " tau ms = 10 ms\n", "\n", " input:\n", " pre_spikes <- spike\n", " post_spikes <- spike\n", "\n", " output:\n", " spike\n", "\n", " onReceive(post_spikes, priority=1):\n", " t_last_post_spike = t\n", " if t_last_pre_spike > 0:\n", " w += lambda * (exp(-((t_last_post_spike + d) - t_last_pre_spike) / tau) - offset)\n", "\n", " onReceive(pre_spikes, priority=2):\n", " t_last_pre_spike = t\n", "\n", " if t_last_post_spike > 0:\n", " w += lambda * (exp(-(t_last_pre_spike - (t_last_post_spike + d)) / tau) - offset)\n", "\n", " # deliver spike to postsynaptic partner\n", " emit_spike(w)\n", "\"\"\"" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Save to a temporary file and make the model available to instantiate in NEST:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", " -- N E S T --\n", "\n", " Copyright (C) 2004 The NEST Initiative\n", "\n", " Version: 3.9.0-post0.dev14\n", " Built : Apr 15 2026 13:28:55\n", "\n", " This program is provided AS IS and comes with NO WARRANTY.\n", " See the file LICENSE for details.\n", "\n", " Problems or suggestions?\n", " Visit https://www.nest-simulator.org\n", "\n", " Type 'nest.help()' to find out more about NEST.\n", "\n", "\n", " -- N E S T --\n", "\n", " Copyright (C) 2004 The NEST Initiative\n", "\n", " Version: 3.9.0-post0.dev14\n", " Built : Apr 15 2026 13:28:55\n", "\n", " This program is provided AS IS and comes with NO WARRANTY.\n", " See the file LICENSE for details.\n", "\n", " Problems or suggestions?\n", " Visit https://www.nest-simulator.org\n", "\n", " Type 'nest.help()' to find out more about NEST.\n", "\n", "[13,stdp_vogels_synapse_nestml, WARNING, [10:8;10:17]]: Variable \"d\" has the same name as a physical unit!\n", "[14,stdp_vogels_synapse_nestml, WARNING, [24:11;24:30]]: Operands of logical comparison operator not compatible.\n", "[15,stdp_vogels_synapse_nestml, WARNING, [30:11;30:31]]: Operands of logical comparison operator not compatible.\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING:Not preserving expression for variable \"V_m\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"refr_t\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"V_m\" as it is solved by propagator solver\n", "WARNING:Not preserving expression for variable \"refr_t\" as it is solved by propagator solver\n" ] } ], "source": [ "module_name, neuron_model_name, synapse_model_name = \\\n", " NESTCodeGeneratorUtils.generate_code_for(\"../../../models/neurons/iaf_psc_delta_neuron.nestml\",\n", " nestml_stdp_vogels_model,\n", " post_ports=[\"post_spikes\"],\n", " codegen_opts={\"weight_variable\": {\"stdp_vogels_synapse\": \"w\"},\n", " \"delay_variable\": {\"stdp_vogels_synapse\": \"d\"}})" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dt_vec, dw_vec, delay = stdp_window(module_name, neuron_model_name,\n", " synapse_model_name,\n", " synapse_parameters={\"offset\": .1,\n", " \"d\": delay})\n", "plot_stdp_window(dt_vec, dw_vec, delay)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Check for correctness of the result:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "assert dw_vec[0] < 0\n", "assert dw_vec[-1] < 0\n", "assert np.amax(dw_vec) > 0" ] }, { "attachments": { "image.png": { "image/png": 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" } }, "cell_type": "markdown", "metadata": {}, "source": [ "Further directions\n", "---------------------\n", " \n", "* **Bursting dependent rules**\n", "\n", " Neuronal bursting is a phenomenon where action potentials are fired at high frequency in groups, separated by periods of quiescence. Bursting can be considered a different communication signal from the normal firing of action potentials. Search for (or come up with) a burst-dependent learning rule, and implement it in NESTML.\n", "\n", "

 

\n", " \n", "* **Triplet relationships**\n", "\n", " So far, we have looked at the relative timing of two spikes, $\\Delta t$ on the horizontal axis.\n", "\n", " Come up with a triplet spike protocol, that involves not just the time difference between two but between three spikes. Make a 3D plot of $\\Delta w$ as a function of the timing parameters $\\Delta t_1$ and $\\Delta t_2$. What do you expect to see?\n", "\n", "

 

\n", "\n", "* **Multiphasic windows**\n", " \n", " Patch clamping is a common recording technique that uses a micropipette filled with a liquid that mimics the intracellular environment. When cesium ions (Cs+) are introduced into this solution, an extra potentiation window is seen for long pre-after-post delays. This thought to be caused by cesium blocking of potassium channels, which depolarises the postsynaptic neuron, and enhance and lengthen backpropagating action potentials in the apical dendrite [I]_.\n", "\n", " \n", "
\n", " \n", "
\n", "\n", " In the figure, the data is fit with a difference-of-gaussians curve (continuous black line). It could be easier to approach this using the existing exponentially decaying trace values, but add an additional trace with higher-order dynamics (where the exponentially decaying function has order 1).\n", " \n", " [I] Malleability of Spike-Timing-Dependent Plasticity at the CA3–CA1 Synapse\n", " Gayle M. Wittenberg, Samuel S.-H. Wang\n", " Journal of Neuroscience 14 June 2006, 26 (24) 6610-6617" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "References\n", "----------\n", "\n", "[1] Morrison A., Diesmann M., and Gerstner W. (2008) Phenomenological models of synaptic plasticity based on spike timing, Biol. Cybern. 98, 459–478 https://doi.org/10.1007/s00422-008-0233-1\n", "\n", "[2] Front. Comput. Neurosci., 23 November 2010 Enabling functional neural circuit simulations with distributed computing of neuromodulated plasticity, Wiebke Potjans, Abigail Morrison and Markus Diesmann https://doi.org/10.3389/fncom.2010.00141 \n", "\n", "[3] Rubin, Lee and Sompolinsky. Equilibrium Properties of Temporally Asymmetric Hebbian Plasticity. Physical Review Letters, 8 Jan 2001, Vol 86, No 2 http://doi.org/10.1103/PhysRevLett.86.364\n", "\n", "[4] Vogels, Sprekeler, Zenke, Clopath and Gerstner (2011). Inhibitory Plasticity Balances Excitation and Inhibition in Sensory Pathways and Memory Networks. Science Vol 334 https://doi.org/10.1126/science.1211095 " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Acknowledgements\n", "----------------\n", "\n", "The authors thank Younes Bouhadjar for his suggestions on use cases and valuable feedback.\n", "\n", "This software was developed in part or in whole in the Human Brain Project, funded from the European Union’s Horizon 2020 Framework Programme for Research and Innovation under Specific Grant Agreements No. 720270 and No. 785907 (Human Brain Project SGA1 and SGA2).\n", "\n", "License\n", "-------\n", "\n", "This notebook (and associated files) is free software: you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation, either version 2 of the License, or (at your option) any later version.\n", "\n", "This notebook (and associated files) is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details." ] } ], "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": "3.11.4" } }, "nbformat": 4, "nbformat_minor": 4 }