From 3577b86cbb39012a6330f9743d0c111129cdd7ae Mon Sep 17 00:00:00 2001 From: "a.ott" Date: Thu, 10 Sep 2020 17:24:28 +0200 Subject: [PATCH] result images --- Figures_Baseline.py | 7 +- Figures_results.py | 393 +++++++++++++++---- analysis.py | 66 +--- thesis/Masterthesis.pdf | Bin 373252 -> 580525 bytes thesis/Masterthesis.tex | 40 +- thesis/figures/amGeneration.pdf | Bin 33369 -> 33369 bytes thesis/figures/behaviour_correlations.png | Bin 0 -> 63240 bytes thesis/figures/f_point_detection.png | Bin 28421 -> 28259 bytes thesis/figures/fit_adaption_comparison.png | Bin 0 -> 35325 bytes thesis/figures/fit_baseline_comparison.png | Bin 0 -> 47072 bytes thesis/figures/fit_burstiness_comparison.png | Bin 0 -> 30565 bytes thesis/figures/parameter_correlations.png | Bin 0 -> 60318 bytes thesis/figures/parameter_distributions.png | Bin 0 -> 22834 bytes 13 files changed, 370 insertions(+), 136 deletions(-) create mode 100644 thesis/figures/behaviour_correlations.png create mode 100644 thesis/figures/fit_adaption_comparison.png create mode 100644 thesis/figures/fit_baseline_comparison.png create mode 100644 thesis/figures/fit_burstiness_comparison.png create mode 100644 thesis/figures/parameter_correlations.png create mode 100644 thesis/figures/parameter_distributions.png diff --git a/Figures_Baseline.py b/Figures_Baseline.py index e799b30..38758be 100644 --- a/Figures_Baseline.py +++ b/Figures_Baseline.py @@ -20,10 +20,11 @@ def main(): # data_mean_freq_step_stimulus_examples() # data_mean_freq_step_stimulus_with_detections() # data_fi_curve() - # p_unit_example() - # fi_point_detection() + p_unit_example() + fi_point_detection() p_unit_heterogeneity() + # test_fi_curve_colors() pass @@ -227,7 +228,7 @@ def fi_point_detection(): f_baseline = fi.get_f_baseline_frequencies()[-1] f_base_idx = fi.indices_f_baseline[-1] - axes[0].plot(f_trace_times[-1][:idx], f_traces[-1][:idx]) + axes[0].plot(f_trace_times[-1][:idx], f_traces[-1][:idx], color=consts.COLOR_DATA) axes[0].plot([f_trace_times[-1][idx] for idx in f_zero_idx], (f_zero, ), ",", marker=consts.f0_marker, color=consts.COLOR_DATA_f0) axes[0].plot([f_trace_times[-1][idx] for idx in f_inf_idx], (f_inf, f_inf), color=consts.COLOR_DATA_finf, linewidth=4) axes[0].plot([f_trace_times[-1][idx] for idx in f_base_idx], (f_baseline, f_baseline), color="grey", linewidth=4) diff --git a/Figures_results.py b/Figures_results.py index 37bfd40..f142493 100644 --- a/Figures_results.py +++ b/Figures_results.py @@ -1,24 +1,136 @@ import numpy as np import matplotlib.pyplot as plt -from analysis import get_fit_info, get_behaviour_values, calculate_percent_errors +import matplotlib.gridspec as gridspec +from analysis import get_fit_info, get_behaviour_values, get_parameter_values, behaviour_correlations, parameter_correlations from ModelFit import get_best_fit from Baseline import BaselineModel, BaselineCellData import Figure_constants as consts +parameter_titles = {"input_scaling": r"$\alpha$", "delta_a": r"$\Delta_A$", + "mem_tau": r"$\tau_m$", "noise_strength": r"$\sqrt{2D}$", + "refractory_period": "$t_{ref}$", "tau_a": r"$\tau_A$", + "v_offset": r"$I_{Bias}$", "dend_tau": r"$\tau_{dend}$"} + +behaviour_titles = {"baseline_frequency": "base rate", "Burstiness": "Burst", "coefficient_of_variation": "CV", + "serial_correlation": "SC", "vector_strength": "VS", + "f_inf_slope": r"$f_{\infty}$ Slope", "f_zero_slope": r"$f_0$ Slope", + "f_zero_middle": r"$f_0$ middle"} + + def main(): dir_path = "results/final_2/" fits_info = get_fit_info(dir_path) # cell_behaviour, model_behaviour = get_behaviour_values(fits_info) - # behaviour_overview_pairs(cell_behaviour, model_behaviour) + # plot_cell_model_comp_baseline(cell_behaviour, model_behaviour) + # plot_cell_model_comp_adaption(cell_behaviour, model_behaviour) + # plot_cell_model_comp_burstiness(cell_behaviour, model_behaviour) + # + behaviour_correlations_plot(fits_info) + # + # labels, corr_values, corrected_p_values = parameter_correlations(fits_info) + # par_labels = [parameter_titles[l] for l in labels] + # fig, ax = plt.subplots(1, 1) + # create_correlation_plot(ax, par_labels, corr_values, corrected_p_values, "", colorbar=True) + # plt.savefig(consts.SAVE_FOLDER + "parameter_correlations.png") + # plt.close() + + # create_parameter_distributions(get_parameter_values(fits_info)) + # errors = calculate_percent_errors(fits_info) # create_boxplots(errors) - example_good_hist_fits(dir_path) + # example_good_hist_fits(dir_path) + + +def create_parameter_distributions(par_values): + + fig, axes = plt.subplots(4, 2) + + if len(par_values.keys()) != 8: + print("not eight parameters") + + labels = ["input_scaling", "v_offset", "mem_tau", "noise_strength", + "tau_a", "delta_a", "dend_tau", "refractory_period"] + axes_flat = axes.flatten() + for i, l in enumerate(labels): + min_v = min(par_values[l]) * 0.95 + max_v = max(par_values[l]) * 1.05 + step = (max_v - min_v) / 20 + bins = np.arange(min_v, max_v+step, step) + axes_flat[i].hist(par_values[l], bins=bins, color=consts.COLOR_MODEL, alpha=0.75) + axes_flat[i].set_title(parameter_titles[l]) + + plt.tight_layout() + plt.savefig(consts.SAVE_FOLDER + "parameter_distributions.png") + plt.close() + + +def behaviour_correlations_plot(fits_info): + + fig = plt.figure(tight_layout=True, figsize=consts.FIG_SIZE_MEDIUM_WIDE) + gs = gridspec.GridSpec(2, 2, width_ratios=(1, 1), height_ratios=(5, 1), hspace=0.025, wspace=0.05) + # fig, axes = plt.subplots(1, 2, figsize=consts.FIG_SIZE_MEDIUM_WIDE) + + keys, corr_values, corrected_p_values = behaviour_correlations(fits_info, model_values=False) + labels = [behaviour_titles[k] for k in keys] + img = create_correlation_plot(fig.add_subplot(gs[0, 0]), labels, corr_values, corrected_p_values, "Data") + + keys, corr_values, corrected_p_values = behaviour_correlations(fits_info, model_values=True) + labels = [behaviour_titles[k] for k in keys] + img = create_correlation_plot(fig.add_subplot(gs[0, 1]), labels, corr_values, corrected_p_values, "Model", y_label=False) + + ax_col = fig.add_subplot(gs[1, :]) + data = [np.arange(-1, 1.001, 0.01)] * 10 + ax_col.set_xticks([0, 25, 50, 75, 100, 125, 150, 175, 200]) + ax_col.set_xticklabels([-1, -0.75, -0.5, -0.25, 0, 0.25, 0.5, 0.75, 1]) + ax_col.set_yticks([]) + ax_col.imshow(data) + ax_col.set_xlabel("Correlation Coefficients") + plt.tight_layout() + plt.savefig(consts.SAVE_FOLDER + "behaviour_correlations.png") + plt.close() + + +def create_correlation_plot(ax, labels, correlations, p_values, title, y_label=True): + + cleaned_cors = np.zeros(correlations.shape) + + for i in range(correlations.shape[0]): + for j in range(correlations.shape[1]): + if abs(p_values[i, j]) < 0.05: + cleaned_cors[i, j] = correlations[i, j] + + im = ax.imshow(cleaned_cors, vmin=-1, vmax=1) + + # We want to show all ticks... + ax.set_xticks(np.arange(len(labels))) + ax.set_xticklabels(labels) + + # ... and label them with the respective list entries + if y_label: + ax.set_yticks(np.arange(len(labels))) + ax.set_yticklabels(labels) + else: + ax.set_yticklabels([]) + ax.set_title(title) + + # Rotate the tick labels and set their alignment. + plt.setp(ax.get_xticklabels(), rotation=45, ha="right", + rotation_mode="anchor") + + # Loop over data dimensions and create text annotations. + for i in range(len(labels)): + for j in range(len(labels)): + text = ax.text(j, i, "{:.2f}".format(correlations[i, j]), + ha="center", va="center", color="w") + + return im + def example_good_hist_fits(dir_path): strong_bursty_cell = "2018-05-08-ac-invivo-1" bursty_cell = "2014-03-19-ad-invivo-1" @@ -66,98 +178,245 @@ def create_boxplots(errors): plt.close() -def behaviour_overview_pairs(cell_behaviour, model_behaviour): - # behaviour_keys = ["Burstiness", "coefficient_of_variation", "serial_correlation", - # "vector_strength", "f_inf_slope", "f_zero_slope", "baseline_frequency"] - pairs = [("baseline_frequency", "vector_strength", "serial_correlation"), - ("Burstiness", "coefficient_of_variation"), - ("f_inf_slope", "f_zero_slope")] - - for pair in pairs: - cell = [] - model = [] - for behaviour in pair: - cell.append(cell_behaviour[behaviour]) - model.append(model_behaviour[behaviour]) - overview_pair(cell, model, pair) - - -def overview_pair(cell, model, titles): - fig = plt.figure(figsize=(8, 6)) - - columns = len(cell) +def plot_cell_model_comp_baseline(cell_behavior, model_behaviour): + fig = plt.figure(figsize=(12, 6)) + # ("baseline_frequency", "vector_strength", "serial_correlation") # Add a gridspec with two rows and two columns and a ratio of 2 to 7 between # the size of the marginal axes and the main axes in both directions. # Also adjust the subplot parameters for a square plot. - gs = fig.add_gridspec(2, columns, width_ratios=[5] * columns, height_ratios=[3, 7], + gs = fig.add_gridspec(2, 3, width_ratios=[5, 5, 5], height_ratios=[3, 7], left=0.1, right=0.9, bottom=0.1, top=0.9, - wspace=0.2, hspace=0.05) + wspace=0.25, hspace=0.05) + num_of_bins = 20 + # baseline freq plot: + i = 0 + cell = cell_behavior["baseline_frequency"] + model = model_behaviour["baseline_frequency"] + minimum = min(min(cell), min(model)) + maximum = max(max(cell), max(model)) + step = (maximum - minimum) / num_of_bins + bins = np.arange(minimum, maximum + step, step) - for i in range(len(cell)): - if titles[i] == "f_zero_slope": - length_before = len(cell[i]) - idx = np.array(cell[i]) < 30000 - cell[i] = np.array(cell[i])[idx] - model[i] = np.array(model[i])[idx] + ax = fig.add_subplot(gs[1, i]) + ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + scatter_hist(cell, model, ax, ax_histx, behaviour_titles["baseline_frequency"], bins) + i += 1 - idx = np.array(model[i]) < 30000 - cell[i] = np.array(cell[i])[idx] - model[i] = np.array(model[i])[idx] - print("removed {} values from f_zero_slope plot.".format(length_before - len(cell[i]))) - ax = fig.add_subplot(gs[1, i]) - ax_histx = fig.add_subplot(gs[0, i], sharex=ax) - scatter_hist(cell[i], model[i], ax, ax_histx, titles[i]) + cell = cell_behavior["vector_strength"] + model = model_behaviour["vector_strength"] + minimum = min(min(cell), min(model)) + maximum = max(max(cell), max(model)) + step = (maximum - minimum) / num_of_bins + bins = np.arange(minimum, maximum + step, step) - # plt.tight_layout() - plt.show() + ax = fig.add_subplot(gs[1, i]) + ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + scatter_hist(cell, model, ax, ax_histx, behaviour_titles["vector_strength"], bins) + i += 1 + cell = cell_behavior["serial_correlation"] + model = model_behaviour["serial_correlation"] + minimum = min(min(cell), min(model)) + maximum = max(max(cell), max(model)) + step = (maximum - minimum) / num_of_bins + bins = np.arange(minimum, maximum + step, step) -def grouped_error_overview_behaviour_dist(cell_behaviours, model_behaviours): - # start with a square Figure - fig = plt.figure(figsize=(12, 12)) - - rows = 4 - columns = 2 - # Add a gridspec with two rows and two columns and a ratio of 2 to 7 between - # the size of the marginal axes and the main axes in both directions. - # Also adjust the subplot parameters for a square plot. - gs = fig.add_gridspec(rows*2, columns, width_ratios=[5]*columns, height_ratios=[3, 7] * rows, - left=0.1, right=0.9, bottom=0.1, top=0.9, - wspace=0.2, hspace=0.5) - - for i, behaviour in enumerate(sorted(cell_behaviours.keys())): - col = int(np.floor(i / rows)) - row = i - rows*col - ax = fig.add_subplot(gs[row*2 + 1, col]) - ax_histx = fig.add_subplot(gs[row*2, col]) - - # use the previously defined function - scatter_hist(cell_behaviours[behaviour], model_behaviours[behaviour], ax, ax_histx, behaviour) + ax = fig.add_subplot(gs[1, i]) + ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + scatter_hist(cell, model, ax, ax_histx, behaviour_titles["serial_correlation"], bins) + i += 1 plt.tight_layout() - plt.show() + plt.savefig(consts.SAVE_FOLDER + "fit_baseline_comparison.png", transparent=True) + plt.close() -def scatter_hist(cell_values, model_values, ax, ax_histx, behaviour, ax_histy=None): +def plot_cell_model_comp_adaption(cell_behavior, model_behaviour): + fig = plt.figure(figsize=(8, 6)) + + # ("f_inf_slope", "f_zero_slope") + # Add a gridspec with two rows and two columns and a ratio of 2 to 7 between + # the size of the marginal axes and the main axes in both directions. + # Also adjust the subplot parameters for a square plot. + gs = fig.add_gridspec(2, 2, width_ratios=[5, 5], height_ratios=[3, 7], + left=0.1, right=0.9, bottom=0.1, top=0.9, + wspace=0.25, hspace=0.05) + num_of_bins = 20 + # baseline freq plot: + i = 0 + cell = cell_behavior["f_inf_slope"] + model = model_behaviour["f_inf_slope"] + minimum = min(min(cell), min(model)) + maximum = max(max(cell), max(model)) + step = (maximum - minimum) / num_of_bins + bins = np.arange(minimum, maximum + step, step) + + ax = fig.add_subplot(gs[1, i]) + ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + scatter_hist(cell, model, ax, ax_histx, behaviour_titles["f_inf_slope"], bins) + i += 1 + + cell = cell_behavior["f_zero_slope"] + model = model_behaviour["f_zero_slope"] + length_before = len(cell) + idx = np.array(cell) < 25000 + cell = np.array(cell)[idx] + model = np.array(model)[idx] + + idx = np.array(model) < 25000 + cell = np.array(cell)[idx] + model = np.array(model)[idx] + print("removed {} values from f_zero_slope plot.".format(length_before - len(cell))) + + minimum = min(min(cell), min(model)) + maximum = max(max(cell), max(model)) + step = (maximum - minimum) / num_of_bins + bins = np.arange(minimum, maximum + step, step) + + ax = fig.add_subplot(gs[1, i]) + ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + scatter_hist(cell, model, ax, ax_histx, behaviour_titles["f_zero_slope"], bins) + + plt.tight_layout() + plt.savefig(consts.SAVE_FOLDER + "fit_adaption_comparison.png", transparent=True) + plt.close() + + +def plot_cell_model_comp_burstiness(cell_behavior, model_behaviour): + fig = plt.figure(figsize=(8, 6)) + + # ("Burstiness", "coefficient_of_variation") + # Add a gridspec with two rows and two columns and a ratio of 2 to 7 between + # the size of the marginal axes and the main axes in both directions. + # Also adjust the subplot parameters for a square plot. + gs = fig.add_gridspec(2, 2, width_ratios=[5, 5], height_ratios=[3, 7], + left=0.1, right=0.9, bottom=0.1, top=0.9, + wspace=0.25, hspace=0.05) + num_of_bins = 20 + # baseline freq plot: + i = 0 + cell = cell_behavior["Burstiness"] + model = model_behaviour["Burstiness"] + minimum = min(min(cell), min(model)) + maximum = max(max(cell), max(model)) + step = (maximum - minimum) / num_of_bins + bins = np.arange(minimum, maximum + step, step) + + ax = fig.add_subplot(gs[1, i]) + ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + scatter_hist(cell, model, ax, ax_histx, behaviour_titles["Burstiness"], bins) + i += 1 + + cell = cell_behavior["coefficient_of_variation"] + model = model_behaviour["coefficient_of_variation"] + + minimum = min(min(cell), min(model)) + maximum = max(max(cell), max(model)) + step = (maximum - minimum) / num_of_bins + bins = np.arange(minimum, maximum + step, step) + + ax = fig.add_subplot(gs[1, i]) + ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + scatter_hist(cell, model, ax, ax_histx, behaviour_titles["coefficient_of_variation"], bins) + + plt.tight_layout() + plt.savefig(consts.SAVE_FOLDER + "fit_burstiness_comparison.png", transparent=True) + plt.close() + + +# def behaviour_overview_pairs(cell_behaviour, model_behaviour): +# # behaviour_keys = ["Burstiness", "coefficient_of_variation", "serial_correlation", +# # "vector_strength", "f_inf_slope", "f_zero_slope", "baseline_frequency"] +# +# pairs = [("baseline_frequency", "vector_strength", "serial_correlation"), +# ("Burstiness", "coefficient_of_variation"), +# ("f_inf_slope", "f_zero_slope")] +# +# for pair in pairs: +# cell = [] +# model = [] +# for behaviour in pair: +# cell.append(cell_behaviour[behaviour]) +# model.append(model_behaviour[behaviour]) +# overview_pair(cell, model, pair) +# +# +# def overview_pair(cell, model, titles): +# fig = plt.figure(figsize=(8, 6)) +# +# columns = len(cell) +# +# # Add a gridspec with two rows and two columns and a ratio of 2 to 7 between +# # the size of the marginal axes and the main axes in both directions. +# # Also adjust the subplot parameters for a square plot. +# gs = fig.add_gridspec(2, columns, width_ratios=[5] * columns, height_ratios=[3, 7], +# left=0.1, right=0.9, bottom=0.1, top=0.9, +# wspace=0.2, hspace=0.05) +# +# for i in range(len(cell)): +# if titles[i] == "f_zero_slope": +# length_before = len(cell[i]) +# idx = np.array(cell[i]) < 30000 +# cell[i] = np.array(cell[i])[idx] +# model[i] = np.array(model[i])[idx] +# +# idx = np.array(model[i]) < 30000 +# cell[i] = np.array(cell[i])[idx] +# model[i] = np.array(model[i])[idx] +# print("removed {} values from f_zero_slope plot.".format(length_before - len(cell[i]))) +# ax = fig.add_subplot(gs[1, i]) +# ax_histx = fig.add_subplot(gs[0, i], sharex=ax) +# scatter_hist(cell[i], model[i], ax, ax_histx, titles[i]) +# +# # plt.tight_layout() +# plt.show() +# +# +# def grouped_error_overview_behaviour_dist(cell_behaviours, model_behaviours): +# # start with a square Figure +# fig = plt.figure(figsize=(12, 12)) +# +# rows = 4 +# columns = 2 +# # Add a gridspec with two rows and two columns and a ratio of 2 to 7 between +# # the size of the marginal axes and the main axes in both directions. +# # Also adjust the subplot parameters for a square plot. +# gs = fig.add_gridspec(rows*2, columns, width_ratios=[5]*columns, height_ratios=[3, 7] * rows, +# left=0.1, right=0.9, bottom=0.1, top=0.9, +# wspace=0.2, hspace=0.5) +# +# for i, behaviour in enumerate(sorted(cell_behaviours.keys())): +# col = int(np.floor(i / rows)) +# row = i - rows*col +# ax = fig.add_subplot(gs[row*2 + 1, col]) +# ax_histx = fig.add_subplot(gs[row*2, col]) +# +# # use the previously defined function +# scatter_hist(cell_behaviours[behaviour], model_behaviours[behaviour], ax, ax_histx, behaviour) +# +# plt.tight_layout() +# plt.show() +# + +def scatter_hist(cell_values, model_values, ax, ax_histx, behaviour, bins, ax_histy=None): # copied from matplotlib # no labels ax_histx.tick_params(axis="cell", labelbottom=False) # ax_histy.tick_params(axis="model_values", labelleft=False) # the scatter plot: - ax.scatter(cell_values, model_values) - minimum = min(min(cell_values), min(model_values)) maximum = max(max(cell_values), max(model_values)) ax.plot((minimum, maximum), (minimum, maximum), color="grey") + ax.scatter(cell_values, model_values, color="black") ax.set_xlabel("cell") ax.set_ylabel("model") - ax_histx.hist(cell_values, color="blue", alpha=0.5) - ax_histx.hist(model_values, color="orange", alpha=0.5) + ax_histx.hist(cell_values, bins=bins, color=consts.COLOR_DATA, alpha=0.75) + ax_histx.hist(model_values, bins=bins, color=consts.COLOR_MODEL, alpha=0.75) ax_labels = ax.get_xticklabels() ax_histx.set_xticklabels([]) ax.set_xticklabels(ax_labels) diff --git a/analysis.py b/analysis.py index 8621610..424a5c0 100644 --- a/analysis.py +++ b/analysis.py @@ -42,7 +42,7 @@ def main(): # labels, corr_values, corrected_p_values = parameter_correlations(fits_info) # create_correlation_plot(labels, corr_values, corrected_p_values) - # create_parameter_distributions(get_parameter_values(fits_info)) + create_parameter_distributions(get_parameter_values(fits_info)) cell_b, model_b = get_behaviour_values(fits_info) create_behaviour_distributions(cell_b, model_b) pass @@ -115,7 +115,8 @@ def behaviour_correlations(fits_info, model_values=True): else: behaviour_values = bv_cell - labels = sorted(behaviour_values.keys()) + labels = ["baseline_frequency", "serial_correlation", "vector_strength", "coefficient_of_variation", "Burstiness", + "f_inf_slope", "f_zero_slope"] corr_values = np.zeros((len(labels), len(labels))) p_values = np.ones((len(labels), len(labels))) @@ -133,7 +134,8 @@ def behaviour_correlations(fits_info, model_values=True): def parameter_correlations(fits_info): parameter_values = get_parameter_values(fits_info) - labels = sorted(parameter_values.keys()) + labels = ["input_scaling", "v_offset", "mem_tau", "noise_strength", + "tau_a", "delta_a", "dend_tau", "refractory_period"] corr_values = np.zeros((len(labels), len(labels))) p_values = np.ones((len(labels), len(labels))) @@ -148,64 +150,6 @@ def parameter_correlations(fits_info): return labels, corr_values, corrected_p_values -def create_correlation_plot(labels, correlations, p_values): - - cleaned_cors = np.zeros(correlations.shape) - - for i in range(correlations.shape[0]): - for j in range(correlations.shape[1]): - if abs(p_values[i, j]) < 0.05: - cleaned_cors[i, j] = correlations[i, j] - - fig, ax = plt.subplots() - im = ax.imshow(cleaned_cors, vmin=-1, vmax=1) - - cbar = ax.figure.colorbar(im, ax=ax) - cbar.ax.set_ylabel("Correlation coefficient", rotation=-90, va="bottom") - - # We want to show all ticks... - ax.set_xticks(np.arange(len(labels))) - ax.set_yticks(np.arange(len(labels))) - # ... and label them with the respective list entries - ax.set_xticklabels(labels) - ax.set_yticklabels(labels) - - # Rotate the tick labels and set their alignment. - plt.setp(ax.get_xticklabels(), rotation=45, ha="right", - rotation_mode="anchor") - - # Loop over data dimensions and create text annotations. - for i in range(len(labels)): - for j in range(len(labels)): - text = ax.text(j, i, "{:.2f}".format(correlations[i, j]), - ha="center", va="center", color="w") - - fig.tight_layout() - plt.show() - - -def create_parameter_distributions(par_values): - - fig, axes = plt.subplots(4, 2) - - if len(par_values.keys()) != 8: - print("not eight parameters") - - labels = sorted(par_values.keys()) - axes_flat = axes.flatten() - for i, l in enumerate(labels): - min_v = min(par_values[l]) * 0.95 - max_v = max(par_values[l]) * 1.05 - step = (max_v - min_v) / 15 - bins = np.arange(min_v, max_v+step, step) - axes_flat[i].hist(par_values[l], bins=bins) - axes_flat[i].set_title(l) - - plt.tight_layout() - plt.show() - plt.close() - - def create_behaviour_distributions(cell_b_values, model_b_values): fig, axes = plt.subplots(4, 2) diff --git a/thesis/Masterthesis.pdf b/thesis/Masterthesis.pdf index 02638d636779070f7843ae3787e689aea9cb9183..603151f114d85728c1576023009f87ae9285e844 100644 GIT binary patch delta 293826 zcmaI6Wl$VZ*Daic5E39jf(0kIli*HphaeMz2M-Y3VW1NTE)yWQI}Gj&PH-LE-5myI zaJf9s`_@-q-52>y6y?6IMXP@62L?v~!f9Rj_P{%taJYxb}HI4})D534=!w+KD*Z( zTUm{4s2Y`d1TB*srg{$+K1c@0))4&OO+25IEyu9PhH&Regh$DYpM)2__Q=3&`t+k6 z>-+IDre6>ntX|<{@B&DGy|krbmw?h|&{46EQUkZUzCCroF0-~2!0tKs*c*4ICnlKZ z>DmhA!Tg&*rvcSgEMj+=`KJAmT!`#EV7KbE4;yaF>-+au4S08n?p`%d3%cQ;4jwUE zW65uHSbV=Ve_4;>saQ6Hf_D?Fy73l1My&dvA6lQ-zQfIV>GSezv-YgHwUv`}KqRTq zUml;qu!ZFe(uGJLye3841?siG0vpT-; zkIWs@)HAiAf=cgr7(ZTGo>xWxUDi8)c6HBf8FeovQ7ePvIjtSVLYKEwkxb}E-{y%- 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Showing the variability between cells of spiking behavior of P units in baseline conditions. \textbf{A} and \textbf{D}: A non bursting cell with a baseline firing rate of 133\,Hz (EODf: 806\,Hz), \textbf{B} and \textbf{E}: A cell with some bursts and a baseline firing rate of 235\,Hz (EODf: 682\,Hz) and \textbf{C} and \textbf{F}: A strongly bursting cell with longer breaks between bursts. Baseline rate of 153\,Hz and EODf of 670\,Hz }} -{\includegraphics[width=1\textwidth]{figures/isi_hist_heterogeneity.png}} +{\caption{\label{fig:heterogeneity_isi_hist} Variability in spiking behavior between P units under baseline conditions. \textbf{A--C} 100\,ms of cell membrane voltage and \textbf{D--F} interspike interval histograms, each for three different cells. \textbf{A} and \textbf{D}: A non bursting cell with a baseline firing rate of 133\,Hz (EODf: 806\,Hz), \textbf{B} and \textbf{E}: A cell with some bursts and a baseline firing rate of 235\,Hz (EODf: 682\,Hz) and \textbf{C} and \textbf{F}: A strongly bursting cell with longer breaks between bursts. Baseline rate of 153\,Hz and EODf of 670\,Hz }} +{\includegraphics[width=\textwidth]{figures/isi_hist_heterogeneity.png}} \end{figure} \todo{heterogeneity more} -Furthermore show P units a pronounced heterogeneity in their spiking behavior (fig.~\ref{fig:heterogeneity_isi_hist}, \cite{gussin2007limits}). This is an important aspect one needs to consider when trying to understand what and how information is encoded in the spike trains of the neuron. A single neuron might be an independent unit from all other neurons but through different tuning curves a full picture of the stimulus can be encoded in the population while a single neuron only encodes a small feature space. This type of encoding is ubiquitous in the nervous system and is used in (EXAMPLE) for (EXAMPLE feature) PLUS MORE... \todo{refs}. Even though P units were already modelled based on a simple leaky integrate-and-fire neuron \citep{chacron2001simple} and conductance based \citep{kashimori1996model} and well studied (\todo{refS}), but up to this point there no model that tries to cover the full breadth of heterogeneity of the P unit population. Having such a model could help shed light into the population code used in the electric sense, allow researchers gain a better picture how higher brain areas might process the information and get one step closer to the full path between sensory input and behavioural output. +Furthermore show P units a pronounced heterogeneity in their spiking behavior (fig.~\ref{fig:heterogeneity_isi_hist}, \cite{gussin2007limits}). This is an important aspect one needs to consider when trying to understand what and how information is encoded in the spike trains of the neuron. A single neuron might be an independent unit from all other neurons but through different tuning curves a full picture of the stimulus can be encoded in the population while a single neuron only encodes a small feature space. This type of encoding is ubiquitous in the nervous system and is used in the visual sense for color vision, PLUS MORE... \todo{refs}. Even though P units were already modelled based on a simple leaky integrate-and-fire neuron \citep{chacron2001simple} and conductance based \citep{kashimori1996model} and well studied (\todo{refS}), but up to this point there no model that tries to cover the full breadth of heterogeneity of the P unit population. Having such a model could help shed light into the population code used in the electric sense, allow researchers gain a better picture how higher brain areas might process the information and get one step closer to the full path between sensory input and behavioural output. @@ -371,7 +371,7 @@ Together this results in the dynamics seen in equations \ref{eq:full_model_dynam parameter & explanation & unit \\ \hline $\alpha$ & stimulus scaling factor & [cm] \\ - $tau_m$ & membrane time constant & [ms]\\ + $\tau_m$ & membrane time constant & [ms]\\ $I_{Bias}$ & bias current & [mV] \\ $\sqrt{2D}$ & noise strength & [mV$\sqrt{\text{s}}$]\\ $\tau_A$ & adaption time constant & [ms] \\ @@ -447,13 +447,43 @@ All errors were then summed up for the full error. The fits were done with the N \section{Results} +\begin{figure}[H] +\includegraphics[scale=0.5]{figures/fit_baseline_comparison.png} +\caption{\label{fig:comp_baseline} } +\end{figure} + +\begin{figure}[H] +\includegraphics[scale=0.5]{figures/fit_adaption_comparison.png} +\caption{\label{fig:comp_adaption} Excluded 8 value pairs from Onset Slope as they had slopes higher than 30000} +\end{figure} + +\begin{figure}[H] +\includegraphics[scale=0.5]{figures/fit_burstiness_comparison.png} +\caption{\label{fig:comp_burstiness} } +\end{figure} + + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/behaviour_correlations.png} +\caption{\label{fig:behavior_correlations} Additional $f_{\infty}$ correlation hängt vermutlich mit der bursty-baseline freq correlation zusammen. Je höher die feuerrate umso höher chance zu bursten und bursts haben eine stärker negative SC.} +\end{figure} + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/parameter_distributions.png} +\caption{\label{fig:parameter_distributions} } +\end{figure} + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/parameter_correlations.png} +\caption{\label{fig:parameter_correlations} } +\end{figure} \section{Discussion} - +\newpage \bibliography{citations} \bibliographystyle{apalike} diff --git a/thesis/figures/amGeneration.pdf b/thesis/figures/amGeneration.pdf index 51c6100f8fe6118898894bf6f2258ece2fe1fbb2..5fdc6a098eb940c2e25a618183e0cc7154dea97e 100644 GIT binary patch delta 24 fcmccF!gRBRX#;N^r=_8Rp@E61q4{R9I%gIDYApv{ delta 24 fcmccF!gRBRX#;N^r-hN3k%6&=spV#|I%gIDYPJV# diff --git a/thesis/figures/behaviour_correlations.png b/thesis/figures/behaviour_correlations.png new file mode 100644 index 0000000000000000000000000000000000000000..12402e1a0ebe16e85cb0b2e056d2f6116014e91b GIT 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