From 27e983d20bd8e661922ae3d63bcb5f5fe3f2b604 Mon Sep 17 00:00:00 2001 From: BrianNGitahi <102825698+BrianNGitahi@users.noreply.github.com> Date: Thu, 21 Sep 2023 14:47:52 -0700 Subject: [PATCH] Modular2 --- Simulation.ipynb | 312 +++++++++++++++++++++++------------------------ 1 file changed, 154 insertions(+), 158 deletions(-) diff --git a/Simulation.ipynb b/Simulation.ipynb index d68709f..8efd57c 100644 --- a/Simulation.ipynb +++ b/Simulation.ipynb @@ -45,7 +45,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Simulation of firing neuron" + "### 1.Simulation of firing neuron" ] }, { @@ -119,6 +119,26 @@ "firing_neuron = simulate_neuron(70000)" ] }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "70000" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "firing_neuron.size\n" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -176,7 +196,7 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "### Neuromodulator concentration\n", + "### 2.Neuromodulator concentration\n", "\n", "Now let's simulate a simple case of neuromodulator release caused by our firing neuron. Here, we assume that the neuromodulator release occurs instantaneously, and that we are dealing with one compartment and there's no uptake. " ] @@ -234,155 +254,144 @@ "cell_type": "markdown", "metadata": {}, "source": [ - " Below is plot of the equation 7 in \\cite{}, describing classic dynamics of calcium:\n", - " \n", + "Below, we make a function to simulate the changes in neuromodulator concentration, [NM], caused by the firing neuron. These transients are calculated based on an equation modelling calcium dynamics (Ca2+ Buffering and Action Potential-Evoked Ca2+ Signaling in Dendrites of Pyramidal Neurons by Fritjof Helmchen,et. al) :\n", + "\n", "\\Delta [Ca^{2+}](n \\Delta t) = A \\Sum_{i=1}^n \\exp^{-(i\\Delta t)/\\tau} = A (\\Sum^n_{i=1}(\\exp^{-\\Delta t/\\tau})^i - 1) = \\frac{A}{(\\exp^{\\Delta t/\\tau} - 1)} (1 - \\exp^{-n \\Delta t /\\tau}) \n", "\n", "This equation shows the [Ca^{2+}]_i level above resting immediately before the (n+1)-th action potential.\n", "\n", - "We are going to assume that the dynamics governing the NM is the same, so to get [NM], we will replace [Ca^{2+}] with it. \n", - "\n" + "We are going to assume that the dynamics governing the NM is the same, so to get [NM], we will replace [Ca^{2+}] with it. \n" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 17, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'NM transients caused by neuron firing')" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "# attempt at simulation of the ca transients in eq. 7 of \n", - "# calcium dynamics paper\n", + "# takes as input the activity of a neuron over a given number of timesteps\n", + "# and returns a plot showing corresponding changes in [NM] \n", "\n", + "def nm_transients(neuron_activity):\n", "\n", - "# the time between the start and the first action potential\n", - "dt_0 = np.array([firing_timesteps[0][0]]) # i know it's weird, it looks like an array of arrays\n", + " # timesteps where the neuron fired\n", + " firing_timesteps = np.nonzero(neuron_activity)\n", "\n", - "# array of the intervals between the firing timesteps\n", - "dt_sequence = np.diff(firing_timesteps)\n", + " # the time between the start and the first action potential\n", + " dt_0 = np.array([firing_timesteps[0][0]])\n", "\n", - "# Include the time interval for the 1st action potential\n", - "dt_sequence = np.concatenate((dt_0,dt_sequence.flatten()), axis=0)\n", + " # array of the intervals between the firing timesteps\n", + " dt_sequence = np.diff(firing_timesteps)\n", "\n", - "# length of dt_seq == 77\n", - "length_dt = np.size(firing_timesteps)\n", + " # Include the time interval for the 1st action potential\n", + " dt_sequence = np.concatenate((dt_0,dt_sequence.flatten()), axis=0)\n", "\n", - "# generate seqauence of numbers to use in plot to compare the different transients\n", - "n_spikes = np.size(firing_timesteps)\n", - "z4 = np.linspace(0,n_spikes-1,n_spikes)\n", + " # convert dt to seconds so that we don't get infinities/zeros\n", + " dt_sequence_s = dt_sequence/1000\n", "\n", - "# convert dt to seconds so that we don't get infinities\n", - "dt_sequence_s = dt_sequence/1000\n", + " # length of dt_seq\n", + " length_dt = np.size(firing_timesteps)\n", "\n", - "# constants to plug into the equation from the paper\n", - "tau = 5\n", - "A = 100\n", - "n = length_dt\n", "\n", - "# [NM] transients caused by the neuron firing\n", - "transients = (A/(np.exp(dt_sequence_s / tau) - 1)) * (1 - np.exp(-n*dt_sequence_s / tau))\n", + " # constants to plug into the equation from the paper -- CHECK W KENTA\n", + " tau = 5\n", + " A = 100\n", + " n = length_dt\n", "\n", + " # [NM] transients caused by the neuron firing - equation 7\n", + " transients = (A/(np.exp(dt_sequence_s / tau) - 1)) * (1 - np.exp(-n*dt_sequence_s / tau))\n", "\n", - "#plot it\n", - "plt.plot(z4,transients)\n", - "plt.xlabel('n (Action potential number)')\n", - "plt.ylabel('NM concentration')\n", - "plt.title('NM transients caused by neuron firing')" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "The above plot also enables easy comparison of the different spikes' magnitude" + " # find the highest and lowest change in concentration recorded:\n", + " nm_max = np.max(transients)\n", + " nm_min = np.min(transients)\n", + "\n", + " # Plot NM transients vs time:\n", + "\n", + " # make an array with the [NM] at all the timesteps,\n", + " # including the timesteps at which spikes/transients were recorded\n", + " nm_conc = np.zeros(neuron_activity.size)\n", + " nm_conc[firing_timesteps] = transients\n", + "\n", + " # plot the [NM] at all timesteps -- 1st plot\n", + " n_timesteps = neuron_activity.size\n", + " t = np.linspace(0,n_timesteps-1,n_timesteps)\n", + "\n", + " plt.plot(t,nm_conc)\n", + " plt.xlabel('time (ms)')\n", + " plt.ylabel('NM concentration')\n", + " plt.title('NM concentration across {} timesteps'.format(neuron_activity.size))\n", + " plt.show()\n", + "\n", + "\n", + " # generate sequence of numbers to use in plot to compare the different transients\n", + " n_spikes = np.size(firing_timesteps)\n", + " z4 = np.linspace(0,n_spikes-1,n_spikes)\n", + "\n", + " #plot each of the transients side by side in sequential order \n", + " # this second plot is just a check -- not necessary\n", + " \n", + " plt.plot(z4,transients)\n", + " plt.xlabel('n (Action potential number)')\n", + " plt.ylabel('NM concentration')\n", + " plt.title('NM transients due to neuron firing')\n", + " plt.show()\n", + "\n", + "\n", + " # returns the smallest and largest transient (delta [NM]) and the [NM] at all times\n", + " return nm_max, nm_min, nm_conc\n" ] }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 20, "metadata": {}, "outputs": [ { "data": { + "image/png": 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", "text/plain": [ - "78" + "
" ] }, - "execution_count": 11, "metadata": {}, - "output_type": "execute_result" + "output_type": "display_data" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "7294.381556139979 88.51592612624961\n" + ] } ], "source": [ - "np.size(firing_timesteps)" + "nm_max, nm_min, nm_conc = nm_transients(firing_neuron)\n", + "print(nm_max,nm_min)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "Below, we make a function to simulate the changes in neuromodulator concentration, [NM], caused by the firing neuron. These transients are calculated based on an equation modelling calcium dynamics. --- CITE THIS PAPER" + "The second plot above enables easy comparison of the different spikes' magnitude. \n", + "The function also returns the largest and smallest recorded transient." ] }, { - "cell_type": "code", - "execution_count": 16, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'NM concentration across all timesteps')" - ] - }, - "execution_count": 16, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], "source": [ - "# make an array with the [NM] at all the timesteps not just at the spike times\n", - "nm_conc = firing_neuron\n", - "nm_conc[firing_timesteps] = transients\n", - "\n", - "# plot this at all timesteps\n", - "t = np.linspace(0,n_timesteps-1,n_timesteps)\n", - "\n", - "plt.plot(t,nm_conc)\n", - "plt.xlabel('time (ms)')\n", - "plt.ylabel('NM concentration')\n", - "plt.title('NM concentration across all timesteps')\n", - "\n" + "### 3.Flourescence Signal" ] }, { @@ -394,76 +403,63 @@ }, { "cell_type": "code", - "execution_count": 18, + "execution_count": 21, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Flourescence intensity signal over time')" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "# Define the constants used in the equation:\n", "# GET ACTUAL VALUES FROM KENTA\n", "\n", - "# the dissociation constant for the NM binding to the sensor\n", - "K_D = 1 \n", - "\n", - "# The fluorescence when sensor is completely unbound to NM\n", - "F_max = 45\n", - "\n", - "# The fluorescence when sensor is completely bound to NM\n", - "F_min = 10\n", - "\n", - "# define K_D prime as\n", - "K_Dp = K_D*(F_max/F_min)\n", - "\n", - "# the initial/steady state concentration, [NM]i,0, of the neuromdultor\n", - "# CONFIRM VALUE FROM KENTA\n", - "nm_conc_io = 0 \n", + "# function takes in 3 constants used in the equation to calculate F:\n", + " # 1.The dissociation constant for the NM binding to the sensor,K_D\n", + " # 2.The fluorescence when sensor is completely unbound to NM, F_max\n", + " # 3.The fluorescence when sensor is completely bound to NM\n", "\n", + "def flourescence_signal(K_D, F_max, F_min, nm_conc):\n", "\n", - "# define the numerator and denominator\n", - "numerator = (K_Dp + nm_conc)/(K_D + nm_conc)\n", - "denominator = (K_Dp + nm_conc_io)/(K_D + nm_conc_io)\n", + " # define K_D prime as\n", + " K_Dp = K_D*(F_max/F_min)\n", "\n", - "# derive delta f/f0 by plugging in\n", - "delta_f_f0 = (numerator/denominator) - 1\n", + " # the initial/steady state concentration, [NM]i,0, of the neuromdultor\n", + " # CONFIRM VALUE FROM KENTA\n", + " nm_conc_io = 0 \n", "\n", - "# plot the normalized signal delta f/f0 at the different t\n", - "plt.plot(t,delta_f_f0)\n", - "plt.xlabel('time(ms)')\n", - "plt.ylabel('Delta F/F0')\n", - "plt.title('Flourescence intensity signal over time')\n", + " # define the numerator and denominator\n", + " numerator = (K_Dp + nm_conc)/(K_D + nm_conc)\n", + " denominator = (K_Dp + nm_conc_io)/(K_D + nm_conc_io)\n", "\n", + " # derive delta f/f0 by plugging in\n", + " delta_f_f0 = (numerator/denominator) - 1\n", "\n", + " # create timesteps array for the plot\n", + " n_timesteps = nm_conc.size\n", + " t = np.linspace(0,n_timesteps-1,n_timesteps)\n", "\n", - "\n", - "\n" + " # plot the normalized signal delta f/f0 at the different t\n", + " plt.plot(t,delta_f_f0)\n", + " plt.xlabel('time(ms)')\n", + " plt.ylabel('Delta F/F0')\n", + " plt.title('Flourescence intensity signal over time')\n" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 22, "metadata": {}, - "outputs": [], - "source": [] + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "flourescence_signal(K_D = 1, F_max = 45, F_min = 10, nm_conc=nm_conc)" + ] } ], "metadata": {