From b4e1a8663ee5d66388bd819f914a2f011419241d Mon Sep 17 00:00:00 2001 From: "a.ott" Date: Wed, 16 Sep 2020 22:36:47 +0200 Subject: [PATCH] figuresgit push origin master ! and fiigure descriptions of results --- Figure_constants.py | 9 +- Figures_Baseline.py | 9 +- Figures_Model.py | 4 + Figures_Stimuli.py | 8 + Figures_results.py | 428 ++++++++++++------ ModelFit.py | 2 +- analysis.py | 61 ++- models/LIFACnoise.py | 9 + random_models.py | 397 ++++++++++++++-- run_Fitter.py | 4 +- test.py | 59 ++- thesis/Masterthesis.bbl | 6 + thesis/Masterthesis.blg | 60 +-- thesis/Masterthesis.pdf | Bin 561750 -> 762997 bytes thesis/Masterthesis.tex | 141 ++++-- thesis/citations.bib | 10 + thesis/figures/amGeneration.pdf | Bin 33369 -> 36038 bytes thesis/figures/behaviour_correlations.pdf | Bin 0 -> 22769 bytes thesis/figures/behaviour_correlations.png | Bin 33111 -> 0 bytes .../compare_parameter_dist_random_models.pdf | Bin 0 -> 31275 bytes thesis/figures/dend_ref_effect.pdf | Bin 0 -> 100147 bytes 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thesis/figures/behaviour_correlations.png create mode 100644 thesis/figures/compare_parameter_dist_random_models.pdf create mode 100644 thesis/figures/dend_ref_effect.pdf create mode 100644 thesis/figures/example_bad_fi_fits.pdf create mode 100644 thesis/figures/example_bad_isi_hist_fits.pdf create mode 100644 thesis/figures/example_good_fi_fits.pdf create mode 100644 thesis/figures/example_good_isi_hist_fits.pdf delete mode 100644 thesis/figures/example_good_isi_hist_fits.png create mode 100644 thesis/figures/f_point_detection.pdf create mode 100644 thesis/figures/fit_adaption_comparison.pdf delete mode 100644 thesis/figures/fit_adaption_comparison.png create mode 100644 thesis/figures/fit_baseline_comparison.pdf delete mode 100644 thesis/figures/fit_baseline_comparison.png create mode 100644 thesis/figures/fit_burstiness_comparison.pdf delete mode 100644 thesis/figures/fit_burstiness_comparison.png create mode 100644 thesis/figures/isi_hist_heterogeneity.pdf create mode 100644 thesis/figures/p_unit_example.pdf create mode 100644 thesis/figures/parameter_correlations.pdf delete mode 100644 thesis/figures/parameter_correlations.png create mode 100644 thesis/figures/parameter_distribution_with_gauss_fits.pdf create mode 100644 thesis/figures/parameter_distributions.pdf delete mode 100644 thesis/figures/parameter_distributions.png create mode 100644 thesis/figures/png_versions/behaviour_correlations.png create mode 100644 thesis/figures/png_versions/compare_parameter_dist_random_models.png create mode 100644 thesis/figures/png_versions/dend_ref_effect.png create mode 100644 thesis/figures/png_versions/example_bad_fi_fits.png create mode 100644 thesis/figures/png_versions/example_bad_isi_hist_fits.png create mode 100644 thesis/figures/png_versions/example_good_fi_fits.png create mode 100644 thesis/figures/png_versions/example_good_isi_hist_fits.png rename thesis/figures/{ => png_versions}/f_point_detection.png (100%) create mode 100644 thesis/figures/png_versions/fit_adaption_comparison.png create mode 100644 thesis/figures/png_versions/fit_baseline_comparison.png create mode 100644 thesis/figures/png_versions/fit_burstiness_comparison.png rename thesis/figures/{ => png_versions}/isi_hist_heterogeneity.png (100%) rename thesis/figures/{ => png_versions}/p_unit_example.png (100%) create mode 100644 thesis/figures/png_versions/parameter_correlations.png create mode 100644 thesis/figures/png_versions/parameter_distribution_with_gauss_fits.png create mode 100644 thesis/figures/png_versions/parameter_distributions.png create mode 100644 thesis/figures/png_versions/rand_parameter_correlations_comparison.png create mode 100644 thesis/figures/png_versions/random_model_parameter_correlations.png create mode 100644 thesis/figures/png_versions/random_models_behaviour_dist.png create mode 100644 thesis/figures/png_versions/scaled_to_800_parameter_distributions.png create mode 100644 thesis/figures/rand_parameter_correlations_comparison.pdf create mode 100644 thesis/figures/random_models_behaviour_dist.pdf create mode 100644 thesis/figures/scaled_to_800_parameter_distributions.pdf create mode 100644 thesis/sources/Barlow-SensoryCommunication-1961.pdf diff --git a/Figure_constants.py b/Figure_constants.py index 507ebde..2e47b9c 100644 --- a/Figure_constants.py +++ b/Figure_constants.py @@ -8,6 +8,7 @@ FIG_SIZE_MEDIUM = (6, 6) FIG_SIZE_LARGE = (8, 8) FIG_SIZE_SMALL_WIDE = (6, 4) FIG_SIZE_MEDIUM_WIDE = (8, 6) +FIG_SIZE_MEDIUM_HIGH = (6, 8) @@ -17,12 +18,12 @@ colors_muted = ptc.colors_muted COLOR_DATA = ptc.colors_vivid["blue"] -COLOR_DATA_f0 = ptc.colors_vivid["red"] -COLOR_DATA_finf = ptc.colors_vivid["green"] +COLOR_DATA_f0 = colors_muted["red"] +COLOR_DATA_finf = ptc.colors_vivid["blue"] COLOR_MODEL = colors_muted["orange"] -COLOR_MODEL_f0 = colors_muted["red"] -COLOR_MODEL_finf = colors_muted["green"] +COLOR_MODEL_f0 = colors_muted["orange"] +COLOR_MODEL_finf = ptc.colors_vivid["green"] f0_marker = (3, 0, 0) # "^" finf_marker = (4, 0, 0) # "s" diff --git a/Figures_Baseline.py b/Figures_Baseline.py index 38758be..d8fa6c5 100644 --- a/Figures_Baseline.py +++ b/Figures_Baseline.py @@ -89,7 +89,7 @@ def p_unit_heterogeneity(): fig.label_axes() - plt.savefig(consts.SAVE_FOLDER + "isi_hist_heterogeneity.png", transparent=True) + plt.savefig(consts.SAVE_FOLDER + "isi_hist_heterogeneity.pdf", transparent=True) plt.close() @@ -203,7 +203,7 @@ def p_unit_example(): plt.tight_layout() consts.set_figure_labels(xoffset=-2.5, yoffset=2.2) fig.label_axes() - plt.savefig("thesis/figures/p_unit_example.png", transparent=True) + plt.savefig("thesis/figures/p_unit_example.pdf", transparent=True) plt.close() @@ -268,7 +268,7 @@ def fi_point_detection(): plt.tight_layout() consts.set_figure_labels(xoffset=-2.5) fig.label_axes() - plt.savefig("thesis/figures/f_point_detection.png", transparent=True) + plt.savefig("thesis/figures/f_point_detection.pdf", transparent=True) plt.close() @@ -410,6 +410,5 @@ def test_fi_curve_colors(): plt.close() - if __name__ == '__main__': - main() \ No newline at end of file + main() diff --git a/Figures_Model.py b/Figures_Model.py index f849679..1ef1fb6 100644 --- a/Figures_Model.py +++ b/Figures_Model.py @@ -129,6 +129,10 @@ def stimulus_development(): # axes[2].set_ylim((0, 1.05)) plt.tight_layout() + + consts.set_figure_labels(xoffset=-2.5, yoffset=1.5) + fig.label_axes() + plt.savefig(consts.SAVE_FOLDER + "stimulus_development.pdf") plt.close() diff --git a/Figures_Stimuli.py b/Figures_Stimuli.py index dddb96e..9a7b574 100644 --- a/Figures_Stimuli.py +++ b/Figures_Stimuli.py @@ -55,6 +55,10 @@ def am_generation(): axes[2].set_xlim((time[0], time[-1])) axes[2].set_xticks([-25, 0, 25, 50, 75]) plt.tight_layout() + + consts.set_figure_labels(xoffset=-2.5, yoffset=1.5) + fig.label_axes() + plt.savefig("thesis/figures/amGeneration.pdf") plt.close() @@ -111,6 +115,10 @@ def stimuli_protocol_examples(): axes[2].set_xlim((time_start, time_end)) plt.tight_layout() + + consts.set_figure_labels(xoffset=-2.5) + fig.label_axes() + plt.savefig("thesis/figures/stimuliExamples.pdf") plt.close() diff --git a/Figures_results.py b/Figures_results.py index e21137a..f84e1d6 100644 --- a/Figures_results.py +++ b/Figures_results.py @@ -4,6 +4,9 @@ import matplotlib.gridspec as gridspec from analysis import get_filtered_fit_info, get_behaviour_values, get_parameter_values, behaviour_correlations, parameter_correlations from ModelFit import get_best_fit from Baseline import BaselineModel, BaselineCellData +from FiCurve import FICurveModel, FICurveCellData +from CellData import CellData +import functions as fu import Figure_constants as consts @@ -12,65 +15,118 @@ parameter_titles = {"input_scaling": r"$\alpha$", "delta_a": r"$\Delta_A$", "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", +parameter_xlabels = {"input_scaling": "cm", "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"} + "f_zero_middle": r"$f_0$ middle", "eodf": "EODf"} def main(): - dir_path = "results/final_2/" - fits_info = get_filtered_fit_info(dir_path) - print("Cells left:", len(fits_info)) - cell_behaviour, model_behaviour = get_behaviour_values(fits_info) - 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) - #ax, labels, correlations, p_values, title, y_label=True - create_correlation_plot(ax, par_labels, corr_values, corrected_p_values, "") - plt.savefig(consts.SAVE_FOLDER + "parameter_correlations.png") - plt.close() - - # create_parameter_distributions(get_parameter_values(fits_info)) - + # dend_tau_and_ref_effect() + # quit() + dir_path = "results/final_2/" + fits_info = get_filtered_fit_info(dir_path, filter=True) + # print("Cells left:", len(fits_info)) + # cell_behaviour, model_behaviour = get_behaviour_values(fits_info) + # 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) + # # + parameter_correlation_plot(fits_info) + # # + create_parameter_distributions(get_parameter_values(fits_info)) + # create_parameter_distributions(get_parameter_values(fits_info, scaled=True, goal_eodf=800), "scaled_to_800_") # errors = calculate_percent_errors(fits_info) # create_boxplots(errors) # example_good_hist_fits(dir_path) + # example_bad_hist_fits(dir_path) + # example_good_fi_fits(dir_path) + # example_bad_fi_fits(dir_path) + +def dend_tau_and_ref_effect(): + cells = ["2012-12-21-am-invivo-1", "2014-03-19-ad-invivo-1", "2018-05-08-ac-invivo-1"] + cell_type = ["no burster", "burster", "strong burster"] + folders = ["results/ref_and_tau/no_dend_tau/", "results/ref_and_tau/no_ref_period/", "results/final_2/"] + title = [r"without $\tau_{dend}$", r"without $t_{ref}$", "with both"] -def create_parameter_distributions(par_values): + fig, axes = plt.subplots(len(cells), 3, figsize=(12, 9), sharey="row", sharex="all") - fig, axes = plt.subplots(4, 2) + for i, cell in enumerate(cells): + cell_data = CellData("data/final/" + cell) + cell_baseline = BaselineCellData(cell_data) + cell_baseline.load_values(cell_data.get_data_path()) + eodf = cell_data.get_eod_frequency() + for j, folder in enumerate(folders): + fit = get_best_fit(folder + cell) + model_baseline = BaselineModel(fit.get_model(), eodf) + cell_isis = cell_baseline.get_interspike_intervals() * eodf + model_isis = model_baseline.get_interspike_intervals() * eodf + bins = np.arange(0, 0.025, 0.0001) * eodf + + axes[i, j].hist(cell_isis, density=True, bins=bins, color=consts.COLOR_DATA, alpha=0.5) + axes[i, j].hist(model_isis, density=True, bins=bins, color=consts.COLOR_MODEL, alpha=0.75) + if j == 0: + axes[i, j].set_ylabel(cell_type[i]) + axes[i, j].set_yticklabels([]) + if i == 0: + axes[0, j].set_title(title[j]) + plt.xlim(0, 17.5) + fig.text(0.5, 0.04, 'Time in EOD periods', ha='center', va='center') # shared x label + fig.text(0.06, 0.5, 'ISI Density', ha='center', va='center', rotation='vertical') # shared y label + + fig.text(0.135, 0.9, 'A', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.4075, 0.9, 'B', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.68, 0.9, 'C', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.11, 0.86, '1', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.11, 0.59, '2', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.11, 0.32, '3', ha='center', va='center', rotation='horizontal', size=16, family='serif') + + plt.savefig(consts.SAVE_FOLDER + "dend_ref_effect.pdf", transparent=True) + plt.close() + + +def create_parameter_distributions(par_values, prefix=""): + fig, axes = plt.subplots(4, 2, gridspec_kw={"left": 0.1, "hspace": 0.5}, figsize=consts.FIG_SIZE_MEDIUM_HIGH) 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"] + x_labels = ["[cm]", "[mV]", "[ms]", r"[mV$\sqrt{s}$]", "[ms]", "[mVms]", "[ms]", "[ms]"] 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) + if "ms" in x_labels[i]: + bins *= 1000 + par_values[l] = np.array(par_values[l]) * 1000 axes_flat[i].hist(par_values[l], bins=bins, color=consts.COLOR_MODEL, alpha=0.75) - axes_flat[i].set_title(parameter_titles[l]) - + # axes_flat[i].set_title(parameter_titles[l]) + axes_flat[i].set_xlabel(parameter_titles[l] + " " + x_labels[i]) + fig.text(0.01, 0.5, 'Count', ha='center', va='center', rotation='vertical') # shared y label plt.tight_layout() - plt.savefig(consts.SAVE_FOLDER + "parameter_distributions.png") + + consts.set_figure_labels(xoffset=-2.5, yoffset=1.5) + fig.label_axes() + + plt.savefig(consts.SAVE_FOLDER + prefix + "parameter_distributions.pdf") 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) @@ -91,12 +147,22 @@ def behaviour_correlations_plot(fits_info): ax_col.imshow(data) ax_col.set_xlabel("Correlation Coefficients") plt.tight_layout() - plt.savefig(consts.SAVE_FOLDER + "behaviour_correlations.png") + plt.savefig(consts.SAVE_FOLDER + "behaviour_correlations.pdf") plt.close() -def create_correlation_plot(ax, labels, correlations, p_values, title, y_label=True): +def parameter_correlation_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) + # ax, labels, correlations, p_values, title, y_label=True + im = create_correlation_plot(ax, par_labels, corr_values, corrected_p_values, "") + fig.colorbar(im, ax=ax) + plt.savefig(consts.SAVE_FOLDER + "parameter_correlations.pdf") + 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]): @@ -105,12 +171,17 @@ def create_correlation_plot(ax, labels, correlations, p_values, title, y_label=T cleaned_cors[i, j] = correlations[i, j] else: cleaned_cors[i, j] = np.NAN + + if j >= i: + cleaned_cors[i, j] = np.NAN 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) - + # remove frame: + ax.spines['top'].set_visible(False) + ax.spines['right'].set_visible(False) # ... and label them with the respective list entries if y_label: ax.set_yticks(np.arange(len(labels))) @@ -126,21 +197,28 @@ def create_correlation_plot(ax, labels, correlations, p_values, title, y_label=T # Loop over data dimensions and create text annotations. for i in range(len(labels)): for j in range(len(labels)): - if p_values[i][j] < 0.0001: - text = ax.text(j, i, "***", ha="center", va="center", color="b") - elif p_values[i][j] < 0.001: - text = ax.text(j, i, "**", ha="center", va="center", color="b") - elif p_values[i][j] < 0.05: - text = ax.text(j, i, "*", ha="center", va="center", color="b") + if j >= i: + continue + + if cleaned_cors[i, j] != np.NAN: + text = ax.text(j, i, "{:.2f}".format(cleaned_cors[i, j]), ha="center", va="center", color="w") + + # if p_values[i][j] < 0.0001: + # text = ax.text(j, i, "***", ha="center", va="center", color="b") + # elif p_values[i][j] < 0.001: + # text = ax.text(j, i, "**", ha="center", va="center", color="b") + # elif p_values[i][j] < 0.05: + # text = ax.text(j, i, "*", ha="center", va="center", color="b") 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" non_bursty_cell = "2012-12-21-am-invivo-1" - fig, axes = plt.subplots(1, 3, sharex="all", figsize=consts.FIG_SIZE_MEDIUM_WIDE) + fig, axes = plt.subplots(1, 3, sharex="all", figsize=(8, 4)) for i, cell in enumerate([non_bursty_cell, bursty_cell, strong_bursty_cell]): fit_dir = dir_path + cell + "/" @@ -156,20 +234,144 @@ def example_good_hist_fits(dir_path): cell_isi = BaselineCellData(cell_data).get_interspike_intervals() * eodf bins = np.arange(0, 0.025, 0.0001) * eodf + axes[i].hist(model_isi, bins=bins, density=True, alpha=0.75, color=consts.COLOR_MODEL) axes[i].hist(cell_isi, bins=bins, density=True, alpha=0.5, color=consts.COLOR_DATA) - axes[i].hist(model_isi, bins=bins, density=True, alpha=0.5, color=consts.COLOR_MODEL) axes[i].set_xlabel("ISI in EOD periods") axes[0].set_ylabel("Density") plt.tight_layout() consts.set_figure_labels(xoffset=-2.5) fig.label_axes() - plt.savefig(consts.SAVE_FOLDER + "example_good_isi_hist_fits.png", transparent=True) + plt.savefig(consts.SAVE_FOLDER + "example_good_isi_hist_fits.pdf", transparent=True) plt.close() -def create_boxplots(errors): +def example_bad_hist_fits(dir_path): + strong_bursty_cell = "2018-05-08-ab-invivo-1" + bursty_cell = "2014-06-06-ag-invivo-1" + extra_structure_cell = "2014-12-11-ad-invivo-1" + + fig, axes = plt.subplots(1, 3, sharex="all", figsize=(8, 4)) + + for i, cell in enumerate([bursty_cell, strong_bursty_cell, extra_structure_cell]): + fit_dir = dir_path + cell + "/" + fit = get_best_fit(fit_dir) + + cell_data = fit.get_cell_data() + eodf = cell_data.get_eod_frequency() + + model = fit.get_model() + baseline_model = BaselineModel(model, eodf, trials=5) + + model_isi = np.array(baseline_model.get_interspike_intervals()) * eodf + cell_isi = BaselineCellData(cell_data).get_interspike_intervals() * eodf + + bins = np.arange(0, 0.025, 0.0001) * eodf + axes[i].hist(model_isi, bins=bins, density=True, alpha=0.75, color=consts.COLOR_MODEL) + axes[i].hist(cell_isi, bins=bins, density=True, alpha=0.5, color=consts.COLOR_DATA) + axes[i].set_xlabel("ISI in EOD periods") + axes[0].set_ylabel("Density") + plt.tight_layout() + consts.set_figure_labels(xoffset=-2.5) + fig.label_axes() + + plt.savefig(consts.SAVE_FOLDER + "example_bad_isi_hist_fits.pdf", transparent=True) + plt.close() + + +def example_good_fi_fits(dir_path): + fig, axes = plt.subplots(1, 3, figsize=(8, 4), sharey="all") + for i, cell in enumerate(["2012-12-21-am-invivo-1", "2013-02-21-ag-invivo-1", "2014-03-19-ae-invivo-1"]): + fit_dir = dir_path + cell + "/" + fit = get_best_fit(fit_dir) + + cell_data = fit.get_cell_data() + eodf = cell_data.get_eod_frequency() + + model = fit.get_model() + contrasts = cell_data.get_fi_contrasts() + fi_curve_data = FICurveCellData(cell_data, contrasts, save_dir=cell_data.get_data_path()) + contrasts = fi_curve_data.stimulus_values + x_values = np.arange(min(contrasts), max(contrasts), 0.001) + fi_curve_model = FICurveModel(model, contrasts, eodf, trials=10) + + f_zero_fit = fi_curve_data.f_zero_fit + f_inf_fit = fi_curve_data.f_inf_fit + + # f zero response + axes[i].plot(contrasts, fi_curve_data.get_f_zero_frequencies(), ',', + marker=consts.f0_marker, alpha=0.75, color=consts.COLOR_DATA_f0) + axes[i].plot(x_values, fu.full_boltzmann(x_values, f_zero_fit[0], f_zero_fit[1], f_zero_fit[2], f_zero_fit[3]), + color=consts.COLOR_DATA_f0, alpha=0.75) + axes[i].plot(contrasts, fi_curve_model.get_f_zero_frequencies(), ',', + marker=consts.f0_marker, alpha=0.75, color=consts.COLOR_MODEL_f0) + + # f inf response + axes[i].plot(contrasts, fi_curve_data.get_f_inf_frequencies(), ',', + marker=consts.finf_marker, alpha=0.5, color=consts.COLOR_DATA_finf) + axes[i].plot(x_values, fu.clipped_line(x_values, f_inf_fit[0], f_inf_fit[1]), + color=consts.COLOR_DATA_finf, alpha=0.5) + axes[i].plot(contrasts, fi_curve_model.get_f_inf_frequencies(), ',', + marker=consts.finf_marker, alpha=0.75, color=consts.COLOR_MODEL_finf) + + axes[i].set_xlabel("Contrast") + axes[0].set_ylabel("Frequency [Hz]") + plt.tight_layout() + consts.set_figure_labels(xoffset=-2.5) + fig.label_axes() + + plt.savefig(consts.SAVE_FOLDER + "example_good_fi_fits.pdf", transparent=True) + plt.close() + + +def example_bad_fi_fits(dir_path): + fig, axes = plt.subplots(1, 2, figsize=(8, 4)) + # "2013-01-08-aa-invivo-1" candidate cell + for i, cell in enumerate(["2012-12-13-ao-invivo-1", "2014-01-23-ab-invivo-1"]): + fit_dir = dir_path + cell + "/" + fit = get_best_fit(fit_dir) + + cell_data = fit.get_cell_data() + eodf = cell_data.get_eod_frequency() + + model = fit.get_model() + contrasts = cell_data.get_fi_contrasts() + fi_curve_data = FICurveCellData(cell_data, contrasts, save_dir=cell_data.get_data_path()) + contrasts = fi_curve_data.stimulus_values + x_values = np.arange(min(contrasts), max(contrasts), 0.001) + fi_curve_model = FICurveModel(model, contrasts, eodf, trials=10) + + f_zero_fit = fi_curve_data.f_zero_fit + f_inf_fit = fi_curve_data.f_inf_fit + + # f zero response + axes[i].plot(contrasts, fi_curve_data.get_f_zero_frequencies(), ',', + marker=consts.f0_marker, alpha=0.75, color=consts.COLOR_DATA_f0) + axes[i].plot(x_values, fu.full_boltzmann(x_values, f_zero_fit[0], f_zero_fit[1], f_zero_fit[2], f_zero_fit[3]), + color=consts.COLOR_DATA_f0, alpha=0.75) + axes[i].plot(contrasts, fi_curve_model.get_f_zero_frequencies(), ',', + marker=consts.f0_marker, alpha=0.75, color=consts.COLOR_MODEL_f0) + + # f inf response + axes[i].plot(contrasts, fi_curve_data.get_f_inf_frequencies(), ',', + marker=consts.finf_marker, alpha=0.5, color=consts.COLOR_DATA_finf) + axes[i].plot(x_values, fu.clipped_line(x_values, f_inf_fit[0], f_inf_fit[1]), + color=consts.COLOR_DATA_finf, alpha=0.5) + axes[i].plot(contrasts, fi_curve_model.get_f_inf_frequencies(), ',', + marker=consts.finf_marker, alpha=0.75, color=consts.COLOR_MODEL_finf) + + axes[i].set_xlabel("Contrast") + axes[0].set_ylabel("Frequency [Hz]") + plt.tight_layout() + consts.set_figure_labels(xoffset=-2.5) + fig.label_axes() + + plt.savefig(consts.SAVE_FOLDER + "example_bad_fi_fits.pdf", transparent=True) + plt.close() + + +def create_boxplots(errors): labels = ["{}_n:{}".format(k, len(errors[k])) for k in sorted(errors.keys())] for k in sorted(errors.keys()): print("{}: median %-error: {:.2f}".format(k, np.median(errors[k]))) @@ -182,17 +384,11 @@ def create_boxplots(errors): plt.close() - 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, 3, width_ratios=[5, 5, 5], height_ratios=[3, 7], left=0.1, right=0.9, bottom=0.1, top=0.9, - wspace=0.25, hspace=0.05) + wspace=0.25, hspace=0.2) num_of_bins = 20 # baseline freq plot: i = 0 @@ -206,6 +402,9 @@ def plot_cell_model_comp_baseline(cell_behavior, model_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["baseline_frequency"], bins) + ax.set_xlabel(r"Cell [Hz]") + ax.set_ylabel(r"Model [Hz]") + ax_histx.set_ylabel("Count") i += 1 cell = cell_behavior["vector_strength"] @@ -218,6 +417,9 @@ def plot_cell_model_comp_baseline(cell_behavior, model_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["vector_strength"], bins) + ax.set_xlabel(r"Cell") + ax.set_ylabel(r"Model") + ax_histx.set_ylabel("Count") i += 1 cell = cell_behavior["serial_correlation"] @@ -230,10 +432,16 @@ def plot_cell_model_comp_baseline(cell_behavior, model_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) + ax.set_xlabel(r"Cell") + ax.set_ylabel(r"Model") + fig.text(0.09, 0.925, 'A', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.375, 0.925, 'B', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.6625, 0.925, 'C', ha='center', va='center', rotation='horizontal', size=16, family='serif') + ax_histx.set_ylabel("Count") i += 1 plt.tight_layout() - plt.savefig(consts.SAVE_FOLDER + "fit_baseline_comparison.png", transparent=True) + plt.savefig(consts.SAVE_FOLDER + "fit_baseline_comparison.pdf", transparent=True) plt.close() @@ -246,7 +454,7 @@ def plot_cell_model_comp_adaption(cell_behavior, model_behaviour): # 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) + wspace=0.3, hspace=0.2) num_of_bins = 20 # baseline freq plot: i = 0 @@ -260,6 +468,9 @@ def plot_cell_model_comp_adaption(cell_behavior, model_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["f_inf_slope"], bins) + ax.set_xlabel(r"Cell [Hz]") + ax.set_ylabel(r"Model [Hz]") + ax_histx.set_ylabel("Count") i += 1 cell = cell_behavior["f_zero_slope"] @@ -282,9 +493,16 @@ def plot_cell_model_comp_adaption(cell_behavior, model_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["f_zero_slope"], bins) + ax.set_xlabel("Cell [Hz]") + ax.set_ylabel("Model [Hz]") + ax_histx.set_ylabel("Count") plt.tight_layout() - plt.savefig(consts.SAVE_FOLDER + "fit_adaption_comparison.png", transparent=True) + + fig.text(0.085, 0.925, 'A', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.54, 0.925, 'B', ha='center', va='center', rotation='horizontal', size=16, family='serif') + + plt.savefig(consts.SAVE_FOLDER + "fit_adaption_comparison.pdf", transparent=True) plt.close() @@ -297,7 +515,7 @@ def plot_cell_model_comp_burstiness(cell_behavior, model_behaviour): # 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) + wspace=0.25, hspace=0.2) num_of_bins = 20 # baseline freq plot: i = 0 @@ -309,7 +527,10 @@ def plot_cell_model_comp_burstiness(cell_behavior, model_behaviour): bins = np.arange(minimum, maximum + step, step) ax = fig.add_subplot(gs[1, i]) + ax.set_xlabel("Cell [%ms]") + ax.set_ylabel("Model [%ms]") ax_histx = fig.add_subplot(gs[0, i], sharex=ax) + ax_histx.set_ylabel("Count") scatter_hist(cell, model, ax, ax_histx, behaviour_titles["Burstiness"], bins) i += 1 @@ -325,111 +546,32 @@ def plot_cell_model_comp_burstiness(cell_behavior, model_behaviour): ax_histx = fig.add_subplot(gs[0, i], sharex=ax) scatter_hist(cell, model, ax, ax_histx, behaviour_titles["coefficient_of_variation"], bins) + ax.set_xlabel("Cell") + ax.set_ylabel("Model") + ax_histx.set_ylabel("Count") + plt.tight_layout() - plt.savefig(consts.SAVE_FOLDER + "fit_burstiness_comparison.png", transparent=True) + + fig.text(0.085, 0.925, 'A', ha='center', va='center', rotation='horizontal', size=16, family='serif') + fig.text(0.53, 0.925, 'B', ha='center', va='center', rotation='horizontal', size=16, family='serif') + + plt.savefig(consts.SAVE_FOLDER + "fit_burstiness_comparison.pdf", 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): +def scatter_hist(cell_values, model_values, ax, ax_histx, behaviour, bins): # 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: 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, 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) - ax_histx.set_xticks(ax.get_xticks()) - ax_histx.set_xlim(ax.get_xlim()) - ax_histx.set_title(behaviour) - - # ax_histy.hist(y, bins=bins, orientation='horizontal') + ax_histx.hist(cell_values, bins=bins, color=consts.COLOR_DATA, alpha=0.50) + ax_histx.set_title(behaviour) if __name__ == '__main__': main() diff --git a/ModelFit.py b/ModelFit.py index e7ace98..3c7d90e 100644 --- a/ModelFit.py +++ b/ModelFit.py @@ -237,5 +237,5 @@ class ModelFit: plt.show() else: plt.savefig(save_path + cell.get_cell_name() + "_master_plot.pdf") - + plt.close() diff --git a/analysis.py b/analysis.py index ed69d4c..6898e98 100644 --- a/analysis.py +++ b/analysis.py @@ -9,6 +9,7 @@ from ModelFit import get_best_fit from Baseline import BaselineModel from FiCurve import FICurveModel from CellData import CellData +from models.LIFACnoise import LifacNoiseModel from stimuli.SinusoidalStepStimulus import SinusoidalStepStimulus @@ -42,13 +43,13 @@ 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 -def get_filtered_fit_info(folder): +def get_filtered_fit_info(folder, filter=True): fits_info = {} for item in os.listdir(folder): @@ -58,21 +59,20 @@ def get_filtered_fit_info(folder): cell_behaviour, model_behaviour = results.get_behaviour_values() # filter: - if cell_behaviour["f_zero_slope"] > 50000: - print("cell with too high f_zero_slope. cell_folder:", cell_folder) - if model_behaviour["f_zero_slope"] > 50000 or cell_behaviour["f_zero_slope"] > 50000: - print("f_zero_slope used to filter a fit") - continue - # if (abs(model_behaviour["f_inf_slope"] - cell_behaviour["f_inf_slope"]) / cell_behaviour["f_inf_slope"]) > 0.25: - # print("f_inf_slope used to filter a fit") - # print((abs(model_behaviour["f_inf_slope"] - cell_behaviour["f_inf_slope"]) / cell_behaviour["f_inf_slope"])) - # continue - if abs((model_behaviour["coefficient_of_variation"] - cell_behaviour["coefficient_of_variation"]) / - cell_behaviour["coefficient_of_variation"]) > 0.25: - print("CV used to filter a fit") - continue - - fits_info[item] = [results.get_final_parameters(), model_behaviour, cell_behaviour] + if filter: + if model_behaviour["f_zero_slope"] > 50000 or cell_behaviour["f_zero_slope"] > 50000: + print("f_zero_slope used to filter a fit, ", cell_folder) + continue + # if (abs(model_behaviour["f_inf_slope"] - cell_behaviour["f_inf_slope"]) / cell_behaviour["f_inf_slope"]) > 0.25: + # print("f_inf_slope used to filter a fit") + # print((abs(model_behaviour["f_inf_slope"] - cell_behaviour["f_inf_slope"]) / cell_behaviour["f_inf_slope"])) + # continue + if abs((model_behaviour["coefficient_of_variation"] - cell_behaviour["coefficient_of_variation"]) / + cell_behaviour["coefficient_of_variation"]) > 0.33: + print("CV used to filter a fit, ", cell_folder) + continue + eodf = results.get_cell_data().get_eod_frequency() + fits_info[item] = [results.get_final_parameters(), model_behaviour, cell_behaviour, eodf] return fits_info @@ -95,16 +95,23 @@ def calculate_percent_errors(fits_info): return errors -def get_parameter_values(fits_info): +def get_parameter_values(fits_info, scaled=False, goal_eodf=800): par_keys = sorted(["input_scaling", "delta_a", "mem_tau", "noise_strength", "refractory_period", "tau_a", "v_offset", "dend_tau"]) parameter_values = {} for cell in sorted(fits_info.keys()): + + final_parameters = fits_info[cell][0] + if scaled: + factor = goal_eodf / fits_info[cell][3] + final_parameters = LifacNoiseModel(final_parameters).get_eodf_scaled_parameters(factor) + for par in par_keys: + if par not in parameter_values.keys(): parameter_values[par] = [] - parameter_values[par].append(fits_info[cell][0][par]) + parameter_values[par].append(final_parameters[par]) return parameter_values @@ -126,19 +133,27 @@ def get_behaviour_values(fits_info): def behaviour_correlations(fits_info, model_values=True): bv_cell, bv_model = get_behaviour_values(fits_info) + eod_frequencies = [fits_info[cell][3] for cell in sorted(fits_info.keys())] if model_values: behaviour_values = bv_model else: behaviour_values = bv_cell - labels = ["baseline_frequency", "serial_correlation", "vector_strength", "coefficient_of_variation", "Burstiness", + labels = ["eodf", "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))) for i in range(len(labels)): for j in range(len(labels)): - c, p = pearsonr(behaviour_values[labels[i]], behaviour_values[labels[j]]) + if i == j and labels[j] == "eodf": + c, p = pearsonr(eod_frequencies, eod_frequencies) + elif labels[i] == "eodf": + c, p = pearsonr(eod_frequencies, behaviour_values[labels[j]]) + elif labels[j] == "eodf": + c, p = pearsonr(behaviour_values[labels[i]], eod_frequencies) + else: + c, p = pearsonr(behaviour_values[labels[i]], behaviour_values[labels[j]]) corr_values[i, j] = c p_values[i, j] = p @@ -148,7 +163,7 @@ def behaviour_correlations(fits_info, model_values=True): def parameter_correlations(fits_info): - parameter_values = get_parameter_values(fits_info) + parameter_values = get_parameter_values(fits_info, scaled=True) labels = ["input_scaling", "v_offset", "mem_tau", "noise_strength", "tau_a", "delta_a", "dend_tau", "refractory_period"] @@ -188,8 +203,6 @@ def create_behaviour_distributions(cell_b_values, model_b_values): plt.show() plt.close() - pass - def sensitivity_analysis(dir_path, par_range=(0.5, 1.6, 0.1), contrast_range=(-0.3, 0.4, 0.1), parameters=None, behaviours=None, max_models=None): models = [] diff --git a/models/LIFACnoise.py b/models/LIFACnoise.py index 3bc6c42..d8c6a6a 100644 --- a/models/LIFACnoise.py +++ b/models/LIFACnoise.py @@ -182,6 +182,15 @@ class LifacNoiseModel(AbstractModel): def get_model_copy(self): return LifacNoiseModel(self.parameters) + def get_eodf_scaled_parameters(self, factor): + scaled_parameters = self.parameters.copy() + time_param_keys = ["refractory_period", "tau_a", "mem_tau", "dend_tau"] + + for key in time_param_keys: + scaled_parameters[key] = self.parameters[key] / factor + + return scaled_parameters + def find_v_offset(self, goal_baseline_frequency, base_stimulus, threshold=2, border=50000): test_model = self.get_model_copy() simulation_length = 6 diff --git a/random_models.py b/random_models.py index d02b870..b115c51 100644 --- a/random_models.py +++ b/random_models.py @@ -2,45 +2,381 @@ import numpy as np import os import matplotlib.pyplot as plt +import matplotlib.gridspec as gridspec from scipy.optimize import curve_fit +from scipy.stats import multivariate_normal, pearsonr +from analysis import get_parameter_values, get_filtered_fit_info, parameter_correlations, get_behaviour_values from ModelFit import get_best_fit import functions as fu +from Baseline import BaselineModel +from FiCurve import FICurveModel +from models.LIFACnoise import LifacNoiseModel +from Figures_results import create_correlation_plot +import Figure_constants as consts + +LOG_TRANSFORM = {"v_offset": False, 'input_scaling': True, 'dend_tau': True, 'tau_a': True, 'delta_a': True, + 'refractory_period': False, 'noise_strength': True, 'mem_tau': True} + +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"} + +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"$\tau_{dend}$"} + + +recalculate = False +num_of_models = 100 def main(): folder = "results/final_2/" + fit_infos = get_filtered_fit_info(folder, filter=True) + goal_eodf = 800 + param_values = get_parameter_values(fit_infos, scaled=True, goal_eodf=goal_eodf) + + # plots 1 + keys, means, cov_matrix = calculate_means_and_covariances(param_values) + par_list = draw_random_models(1000, keys, means, cov_matrix, seed=1) + parameter_correlation_plot(par_list, fit_infos) + plot_distributions_with_set_fits(param_values) + + if recalculate: + keys, means, cov_matrix = calculate_means_and_covariances(param_values) + par_list = draw_random_models(num_of_models, keys, means, cov_matrix) + + behaviour = model_behaviour_distributions(par_list, eodf=goal_eodf) + + save_behaviour(behaviour, par_list) + else: + behaviour, par_list = load_behavior() + create_behaviour_distributions(behaviour, fit_infos) + compare_distribution_random_vs_fitted_params(par_list, param_values) + + +def compare_distribution_random_vs_fitted_params(par_list, scaled_param_values): + labels = ["input_scaling", "v_offset", "mem_tau", "noise_strength", + "tau_a", "delta_a", "dend_tau", "refractory_period"] + x_labels = ["[cm]", "[mV]", "[ms]", r"[mV$\sqrt{s}$]", "[ms]", "[mVms]", "[ms]", "[ms]"] + model_parameter_values = {} + for l in labels: + model_parameter_values[l] = [] + + for params in par_list: + for l in labels: + model_parameter_values[l].append(params[l]) + + fig, axes = plt.subplots(4, 2, gridspec_kw={"left": 0.1, "hspace":0.5}, figsize=consts.FIG_SIZE_MEDIUM_HIGH) + axes_flat = axes.flatten() + for i, l in enumerate(labels): + rand_model_values = model_parameter_values[l] + fitted_model_values = scaled_param_values[l] + + if "ms" in x_labels[i]: + rand_model_values = np.array(rand_model_values) * 1000 + fitted_model_values = np.array(fitted_model_values) * 1000 + + min_v = min(min(rand_model_values), min(fitted_model_values)) * 0.95 + max_v = max(max(rand_model_values), max(fitted_model_values)) * 1.05 + # limit = 50000 + # if max_v > limit: + # print("For {} the max value was limited to {}, {} values were excluded!".format(l, limit, np.sum(np.array(cell_b_values[l]) > limit))) + # max_v = limit + step = (max_v - min_v) / 30 + bins = np.arange(min_v, max_v + step, step) + axes_flat[i].hist(fitted_model_values, bins=bins, alpha=0.5, density=True) + axes_flat[i].hist(rand_model_values, bins=bins, alpha=0.5, density=True) + axes_flat[i].set_xlabel(parameter_titles[l] + " " + x_labels[i]) + axes_flat[i].set_yticks([]) + axes_flat[i].set_yticklabels([]) + + fig.text(0.01, 0.5, 'Density', ha='center', va='center', rotation='vertical') # shared y label + plt.tight_layout() - param_values = get_parameter_distributions(folder) - plot_distributions(param_values) - get_gauss_fits(param_values) - pass + consts.set_figure_labels(xoffset=-2.5, yoffset=0) + fig.label_axes() + plt.savefig(consts.SAVE_FOLDER + "compare_parameter_dist_random_models.pdf") + plt.close() -def get_gauss_fits(param_values): - gauss_fits = {} - num_of_bins = 30 - # keys = ['delta_a', 'dend_tau', 'input_scaling', 'mem_tau', 'noise_strength', 'refractory_period', 'tau_a', 'v_offset'] +def parameter_correlation_plot(par_list, fits_info): - key = 'v_offset' + 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) - values = param_values[key] + rand_labels, rand_corr_values, rand_corrected_p_values = parameter_correlations_from_par_list(par_list) + par_labels = [parameter_titles[l] for l in rand_labels] + img = create_correlation_plot(fig.add_subplot(gs[0, 1]), par_labels, rand_corr_values, rand_corrected_p_values * 10e50, "Drawn Models") - bins = calculate_bins(values, num_of_bins) - normal, n_bins, patches = plt.hist(values, bins=bins, density=True) + labels, corr_values, corrected_p_values = parameter_correlations(fits_info) + par_labels = [parameter_titles[l] for l in labels] + img = create_correlation_plot(fig.add_subplot(gs[0, 0]), par_labels, corr_values, corrected_p_values, "Fitted Models", + 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() + + consts.set_figure_labels(xoffset=-2.5, yoffset=1.5) + fig.label_axes() + + plt.savefig(consts.SAVE_FOLDER + "rand_parameter_correlations_comparison.pdf") plt.close() - # fit gauss: - bin_width = np.mean(np.diff(n_bins)) - middle_of_bins = n_bins + bin_width / 2 - # try: - # n_gauss_pars = fit_gauss(middle_of_bins[:-1], normal) - # x = np.arange(min(param_values[key]), max(param_values[key]), - # (max(param_values[key]) - min(param_values[key])) / 100) - # axes[i, 0].plot(x, fu.gauss(x, n_gauss_pars[0], n_gauss_pars[1], n_gauss_pars[2])) - # pass +def parameter_correlations_from_par_list(par_list): + labels = ["input_scaling", "v_offset", "mem_tau", "noise_strength", + "tau_a", "delta_a", "dend_tau", "refractory_period"] + + parameter_values = {} + for l in labels: + parameter_values[l] = [] + + for params in par_list: + for l in labels: + parameter_values[l].append(params[l]) + + corr_values = np.zeros((len(labels), len(labels))) + p_values = np.ones((len(labels), len(labels))) + + for i in range(len(labels)): + for j in range(len(labels)): + c, p = pearsonr(parameter_values[labels[i]], parameter_values[labels[j]]) + corr_values[i, j] = c + p_values[i, j] = p + + corrected_p_values = p_values * sum(range(len(labels))) + + return labels, corr_values, corrected_p_values + + +def model_behaviour_distributions(par_list, eodf=800): + behaviour = {} + + for key in behaviour_titles.keys(): + behaviour[key] = [] + + for i, parset in enumerate(par_list): + + model = LifacNoiseModel(parset) + baseline = BaselineModel(model, eodf) + + behaviour["baseline_frequency"].append(baseline.get_baseline_frequency()) + behaviour["Burstiness"].append(baseline.get_burstiness()) + behaviour["coefficient_of_variation"].append(baseline.get_coefficient_of_variation()) + behaviour["serial_correlation"].append(baseline.get_serial_correlation(1)[0]) + behaviour["vector_strength"].append(baseline.get_vector_strength()) + + fi_curve = FICurveModel(model, np.arange(-0.3, 0.301, 0.1), eodf) + behaviour["f_inf_slope"].append(fi_curve.f_inf_fit[0]) + behaviour["f_zero_slope"].append(fi_curve.get_f_zero_fit_slope_at_straight()) + + print("{:} of {:}".format(i + 1, len(par_list))) + + return behaviour + + +def save_behaviour(behaviour, par_list): + # save behaviour: + keys = np.array(sorted(behaviour.keys())) + data_points = len(behaviour[keys[0]]) + data = np.zeros((len(keys), data_points)) + for i, k in enumerate(keys): + k_data = np.array(behaviour[k]) + data[i, :] = k_data + + np.save("data/random_model_behaviour_data.npy", data) + np.save("data/random_model_behaviour_keys.npy", keys) + + # save parameter list: + + par_keys = np.array(sorted(par_list[0].keys())) + num_models = len(par_list) + + pars_data = np.zeros((num_models, len(par_keys))) + + for i, params in enumerate(par_list): + params_array = np.array([params[k] for k in par_keys]) + pars_data[i, :] = params_array + + np.save("data/random_model_parameter_data.npy", pars_data) + np.save("data/random_model_parameter_keys.npy", par_keys) + + +def load_behavior(): + data = np.load("data/random_model_behaviour_data.npy") + keys = np.load("data/random_model_behaviour_keys.npy") + behaviour = {} + for i, k in enumerate(keys): + behaviour[k] = data[i, :] + + pars_data = np.load("data/random_model_parameter_data.npy") + par_keys = np.load("data/random_model_parameter_keys.npy") + par_list = [] + + for i in range(len(pars_data[:, 0])): + param_dict = {} + for j, k in enumerate(par_keys): + param_dict[k] = pars_data[i, j] + par_list.append(param_dict) + + return behaviour, par_list + + +def create_behaviour_distributions(drawn_model_behaviour, fits_info): + fig, axes = plt.subplots(4, 2, gridspec_kw={"left": 0.1, "hspace":0.5}, figsize=consts.FIG_SIZE_MEDIUM_HIGH) + cell_behaviour, fitted_model_behaviour = get_behaviour_values(fits_info) + labels = ['Burstiness', 'baseline_frequency', 'coefficient_of_variation', 'f_inf_slope', 'f_zero_slope', 'serial_correlation', 'vector_strength'] + unit = ["[%ms]", "[Hz]", "", "[Hz]", "[Hz]", "", ""] + + axes_flat = axes.flatten() + for i, l in enumerate(labels): + min_v = min(drawn_model_behaviour[l]) * 0.95 + max_v = max(drawn_model_behaviour[l]) * 1.05 + # limit = 50000 + # if max_v > limit: + # print("For {} the max value was limited to {}, {} values were excluded!".format(l, limit, np.sum(np.array(cell_b_values[l]) > limit))) + # max_v = limit + step = (max_v - min_v) / 15 + bins = np.arange(min_v, max_v + step, step) + axes_flat[i].hist(drawn_model_behaviour[l], bins=bins, alpha=0.75, density=False, color=consts.COLOR_MODEL) + axes_flat[i].hist(cell_behaviour[l], bins=bins, alpha=0.5, density=False, color=consts.COLOR_DATA) + axes_flat[i].set_xlabel(behaviour_titles[l] + " " + unit[i]) + axes_flat[i].set_yticks([]) + axes_flat[i].set_yticklabels([]) + axes_flat[-1].set_visible(False) + + plt.tight_layout() + + consts.set_figure_labels(xoffset=-2.5, yoffset=0) + fig.label_axes() + fig.text(0.02, 0.5, 'Density', ha='center', va='center', rotation='vertical') # shared y label + + plt.savefig(consts.SAVE_FOLDER + "random_models_behaviour_dist.pdf") + plt.close() + + +def test_plot_models(par_list, eodf): + + for pars in par_list: + baseline = BaselineModel(LifacNoiseModel(pars), eodf) + baseline.plot_interspike_interval_histogram() + + fi_curve = FICurveModel(LifacNoiseModel(pars), np.arange(-0.3, 0.31, 0.1), eodf) + fi_curve.plot_fi_curve() + + +def calculate_means_and_covariances(param_values): + transformed_values = {} + keys = sorted(param_values.keys()) + for key in keys: + if LOG_TRANSFORM[key]: + transformed_values[key] = np.log(np.array(param_values[key])) + else: + transformed_values[key] = np.array(param_values[key]) + transformed_fits = get_gauss_fits() + means = np.array([transformed_fits[k][1] for k in keys]) + + cov_matrix = np.zeros((len(keys), len(keys))) + + for i, k1 in enumerate(keys): + for j, k2 in enumerate(keys): + cor, p = pearsonr(transformed_values[k1], transformed_values[k2]) + cov_matrix[i, j] = cor * transformed_fits[k1][2] * transformed_fits[k2][2] + + return keys, means, cov_matrix + + +def draw_random_models(num_of_models, keys, means, cov_matrix, seed=None): + if seed is not None: + transformed_model_params = multivariate_normal.rvs(means, cov_matrix, num_of_models, seed) + else: + transformed_model_params = multivariate_normal.rvs(means, cov_matrix, num_of_models) + + drawn_parameters = [] + + for par_set in transformed_model_params: + retransformed_parameters = {} + + for i, k in enumerate(keys): + if LOG_TRANSFORM[k]: + retransformed_parameters[k] = np.exp(par_set[i]) + else: + retransformed_parameters[k] = par_set[i] + + drawn_parameters.append(retransformed_parameters) + + return drawn_parameters + + +def get_gauss_fits(): + # TODO NOT NORMED TO INTEGRAL OF 1 !!!!!!! + transformed_gauss_fits = {} + # fit parameter: amplitude, mean, sigma + transformed_gauss_fits["delta_a"] = [0.52555418, -2.17583514, 0.658713652] # tweak + transformed_gauss_fits["dend_tau"] = [0.90518987, -5.509343763, 0.3593178] # good + transformed_gauss_fits["mem_tau"] = [0.85176348, -6.2468377, 0.42126255] # good + transformed_gauss_fits["input_scaling"] = [0.57239028, 5., 0.6] # [0.37239028, 5.92264105, 1.77342945] # tweak + transformed_gauss_fits["noise_strength"] = [0.62216977, -3.49622807, 0.58081673]# good + transformed_gauss_fits["tau_a"] = [0.82351638, -2.39879173, 0.45725644] # good + transformed_gauss_fits["v_offset"] = [1.33749859e-02, -1.91220096e+01, 1.71068108e+01] # good + transformed_gauss_fits["refractory_period"] = [1.370406256, 9.14715386e-04, 2.33470418e-04] + + return transformed_gauss_fits + + +def plot_distributions_with_set_fits(param_values): + + fig, axes = plt.subplots(4, 2, gridspec_kw={"left": 0.1, "hspace":0.5}, figsize=consts.FIG_SIZE_MEDIUM_HIGH) + + gauss_fits = get_gauss_fits() + bin_number = 30 + + labels = ["input_scaling", "v_offset", "mem_tau", "noise_strength", + "tau_a", "delta_a", "dend_tau", "refractory_period"] + x_labels = ["[ln(cm)]", "[mV]", "[ln(s)]", r"[ln(mV$\sqrt{s}$)]", "[ln(s)]", "[ln(mVs)]", "[ln(s)]", "[ms]"] + for i, key in enumerate(labels): + k = i % 2 + m = int(i/2) + + values = param_values[key] + if LOG_TRANSFORM[key]: + values = np.log(np.array(param_values[key])) + + x = np.arange(min(values), max(values), (max(values) - min(values)) / 100) + plot_x = np.arange(min(values), max(values), (max(values) - min(values)) / 100) + if "ms" in x_labels[i]: + values = np.array(values) * 1000 + plot_x *= 1000 + + gauss_param = gauss_fits[key] + + bins = calculate_bins(values, bin_number) + + axes[m, k].hist(values, bins=bins, density=True, alpha=0.75, color=consts.COLOR_MODEL) + axes[m, k].plot(plot_x, fu.gauss(x, gauss_param[0], gauss_param[1], gauss_param[2]), color="black") + axes[m, k].set_xlabel(parameter_titles[key] + " " + x_labels[i]) + axes[m, k].set_yticklabels([]) + axes[m, k].set_yticks([]) + + plt.tight_layout() + + consts.set_figure_labels(xoffset=-2.5, yoffset=0) + fig.label_axes() + fig.text(0.02, 0.5, 'Density', ha='center', va='center', rotation='vertical') # shared y label + + plt.savefig(consts.SAVE_FOLDER + "parameter_distribution_with_gauss_fits.pdf") + plt.close() def calculate_bins(values, num_of_bins): @@ -49,34 +385,30 @@ def calculate_bins(values, num_of_bins): step = (maximum - minimum) / (num_of_bins-1) bins = np.arange(minimum-0.5*step, maximum + step, step) - print(minimum, maximum) - print(bins) return bins def plot_distributions(param_values): bin_number = 30 fig, axes = plt.subplots(len(param_values.keys()), 2) - print(sorted(param_values.keys())) for i, key in enumerate(sorted(param_values.keys())): # normal hist: values = param_values[key] bins = calculate_bins(values, bin_number) - print("bins:", len(bins)) normal, n_bins, patches = axes[i, 0].hist(values, bins=calculate_bins(values, bin_number), density=True) axes[i, 0].set_title(key) # fit gauss: bin_width = np.mean(np.diff(n_bins)) middle_of_bins = n_bins + bin_width / 2 - print("mid_bins:", len(middle_of_bins)) axes[i, 0].plot(middle_of_bins[:-1], normal, 'o') try: n_gauss_pars = fit_gauss(middle_of_bins[:-1], normal) x = np.arange(min(param_values[key]), max(param_values[key]), (max(param_values[key]) - min(param_values[key])) / 100) axes[i, 0].plot(x, fu.gauss(x, n_gauss_pars[0], n_gauss_pars[1], n_gauss_pars[2])) + print(key, ": normal:", n_gauss_pars) except RuntimeError as e: pass @@ -92,15 +424,10 @@ def plot_distributions(param_values): x = np.arange(min(log_values), max(log_values), (max(log_values) - min(log_values)) / 100) axes[i, 1].plot(x, fu.gauss(x, l_gauss_pars[0], l_gauss_pars[1], l_gauss_pars[2])) + print(key, ": log:", l_gauss_pars) except RuntimeError as e: pass - - - - - - plt.tight_layout() plt.show() plt.close() @@ -134,11 +461,5 @@ def get_parameter_distributions(folder, param_keys=None): return parameter_values - - - - - - if __name__ == '__main__': main() diff --git a/run_Fitter.py b/run_Fitter.py index 1003981..5677e07 100644 --- a/run_Fitter.py +++ b/run_Fitter.py @@ -16,6 +16,9 @@ import multiprocessing as mp SAVE_DIRECTORY = "./results/final_3" SAVE_DIRECTORY_BEST = "./results/final_3_best/" + +# SAVE_DIRECTORY = "./results/ref_and_tau/no_dend_tau/" +# SAVE_DIRECTORY_BEST = "./results/ref_and_tau/ndt_best/" # [vs, sc, cv, isi_hist, bursty, f_inf, f_inf_slope, f_zero, f_zero_slope, f0_curve] ERROR_WEIGHTS = (1, 1, 1, 1, 1, 1, 1, 1, 0, 1) @@ -109,7 +112,6 @@ def fit_cell_parallel(cell_data, start_parameters): best_fit.generate_master_plot(SAVE_DIRECTORY) - def iget_start_parameters(): # mem_tau, input_scaling, noise_strength, dend_tau, # expand by tau_a, delta_a ? diff --git a/test.py b/test.py index b49f1ae..cd4489d 100644 --- a/test.py +++ b/test.py @@ -32,25 +32,42 @@ from matplotlib import gridspec # g = gaussian_kernel(kernel_width, dt) # rate = np.convolve(binary, g, mode='same') -fit = ModelFit("results/final_2/2012-07-12-ag-invivo-1/start_parameter_4_err_6.11/") +fit = get_best_fit("results/final_2/2012-12-21-am-invivo-1/") model = fit.get_model() -print(model.parameters) -eodf = fit.get_cell_data().get_eod_frequency() -baseline = BaselineModel(model, eod_frequency=eodf) -print("model BF: {:.2f}".format(baseline.get_baseline_frequency())) - -model_no_dend = LifacNoiseModel({'step_size': 5e-05, 'mem_tau': 0.0018888888888888887, 'v_base': 0, 'v_zero': 0, 'threshold': 1, 'v_offset': -175.9718894958496, 'input_scaling': 364.44444444444446, 'delta_a': 0.03, 'tau_a': 0.1511111111111111, 'a_zero': 4.402004449113477, 'noise_strength': 0, 'dend_tau': 5e-05, 'refractory_period': 0.0007944444444444448} -) - -baseline = BaselineModel(model_no_dend, eod_frequency=eodf) - -print("no dend BF: {:.2f}".format(baseline.get_baseline_frequency())) -# baseline.plot_interspike_interval_histogram() - -for i in range(10): - v1, spikes = model.simulate(SinusoidalStepStimulus(eodf, 0, 0), 30) - print("last spikes:", max(spikes)) - print(len(spikes) / 30) - time, freq = hF.calculate_time_and_frequency_trace(spikes, 5e-05) - plt.plot(time, freq) - plt.show() \ No newline at end of file +cell_data = fit.get_cell_data() +eodf = cell_data.get_eod_frequency() +parameters = model.parameters + +time_param_keys = ["refractory_period", "tau_a", "mem_tau", "dend_tau"] +contrasts = np.arange(-0.3, 0.3, 0.05) +baseline_normal = BaselineModel(model, eodf) +fi_curve_normal = FICurveModel(model, contrasts, eodf) +fi_curve_normal.plot_fi_curve() +normal_isis = baseline_normal.get_interspike_intervals() * eodf +normal_bins = np.arange(0, 0.05, 0.0001) * eodf + +factor = 1.1 +scaled_eodf = eodf * factor +scaled_model = model.get_model_copy() + +for key in time_param_keys: + scaled_model.parameters[key] = parameters[key] / factor + +baseline_scaled = BaselineModel(scaled_model, scaled_eodf) +fi_curve_scaled = FICurveModel(scaled_model, contrasts, scaled_eodf) +fi_curve_scaled.plot_fi_curve() +scaled_isis = np.array(baseline_scaled.get_interspike_intervals()) * scaled_eodf +scaled_bins = np.arange(0, 0.05, 0.0001) * scaled_eodf + +# plt.hist(normal_isis, bins=normal_bins, alpha=0.5, label="normal") +# plt.hist(scaled_isis, bins=scaled_bins, alpha=0.5, label="scaled") +# plt.legend() +# plt.show() + + + + + + + + diff --git a/thesis/Masterthesis.bbl b/thesis/Masterthesis.bbl index 06009b4..6aa4ca2 100644 --- a/thesis/Masterthesis.bbl +++ b/thesis/Masterthesis.bbl @@ -5,6 +5,12 @@ Babineau, D., Lewis, J.~E., and Longtin, A. (2007). \newblock Spatial acuity and prey detection in weakly electric fish. \newblock {\em PLoS Computational Biology}, 3(3):e38. +\bibitem[Barlow et~al., 1961]{barlow1961possible} +Barlow, H.~B. et~al. (1961). +\newblock Possible principles underlying the transformation of sensory + messages. +\newblock {\em Sensory communication}, 1:217--234. + \bibitem[Bastian, 1981]{bastian1981electrolocation} Bastian, J. (1981). \newblock Electrolocation. diff --git a/thesis/Masterthesis.blg b/thesis/Masterthesis.blg index 81a688e..ac02e59 100644 --- a/thesis/Masterthesis.blg +++ b/thesis/Masterthesis.blg @@ -3,44 +3,44 @@ Capacity: max_strings=35307, hash_size=35307, hash_prime=30011 The top-level auxiliary file: Masterthesis.aux The style file: apalike.bst Database file #1: citations.bib -You've used 15 entries, +You've used 16 entries, 1935 wiz_defined-function locations, - 580 strings with 6551 characters, -and the built_in function-call counts, 6198 in all, are: -= -- 623 -> -- 238 -< -- 5 -+ -- 80 -- -- 78 -* -- 574 -:= -- 1075 -add.period$ -- 45 -call.type$ -- 15 -change.case$ -- 113 -chr.to.int$ -- 15 -cite$ -- 15 -duplicate$ -- 208 -empty$ -- 441 -format.name$ -- 99 -if$ -- 1187 + 586 strings with 6698 characters, +and the built_in function-call counts, 6592 in all, are: += -- 665 +> -- 251 +< -- 6 ++ -- 84 +- -- 82 +* -- 606 +:= -- 1143 +add.period$ -- 48 +call.type$ -- 16 +change.case$ -- 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The step of the stimulus is marked by the back bar. The detected values for the onset ($f_0$) and steady-state ($f_{\infty}$) response are marked in \todo{color}. $f_0$ is detected as the highest deviation from the mean frequency before the stimulus while $f_{\infty}$ is the average frequency in the 0.1\,s time window, 25\,ms before the end of the stimulus. \textbf{B}: The fi-curve visualizes the onset and steady-state response of the neuron for different stimuli contrasts. In \todo{color} the detected onset responses and the fitted Boltzmann, in \todo{color} the detected steady-state response and the linear fit.} \end{figure} @@ -361,7 +364,7 @@ Together this results in the dynamics seen in equations \ref{eq:full_model_dynam \begin{figure}[H] \includegraphics[scale=0.6]{figures/stimulus_development.pdf} -\caption{\label{fig:stim_development} The stimulus modification in the model. The fish's EOD is simulated with a sin wave. It is rectified at the synapse and then further low-pass filtered in the dendrite.} +\caption{\label{fig:stim_development} The stimulus modification in the model. The fish's EOD is simulated with a sin wave. It is rectified at the synapse and then low-pass filtered in the dendrite.} \end{figure} @@ -398,23 +401,23 @@ The error function was constructed from both the baseline characteristics: VS, C The error of the VS, CV, SC, and burstiness was calculated as the scaled absolute difference: \begin{equation} -err_i = |x^M_i - x^C_i| * c_i +err_i = c_i |x^M_i - x^C_i| \end{equation} with $x^M_i$ the model value for the characteristic $i$, $x^C_i$ the corresponding cell value and $c_i$ a scaling factor that is the same for all cells but different between characteristics. The scaling factor was used to make all errors a similar size. They are listed in table \ref{tab:scaling_factors}. The error for the slope of the $f_{inf}$ fit was the scaled relative difference: \begin{equation} -err_i = |1 - ((x^M_i - x^C_i) / x^C_i)| * c_i +err_i = c_i|1 - ((x^M_i - x^C_i) / x^C_i)| \end{equation} For the $f_{inf}$ and $f_0$ responses the average scaled difference off all contrasts was taken and finally the error for the ISI-histogram and the step-response was calculated with a mean-square error. For the histogram over all bins but for the step response only the first 50\,ms after stimulus onset as an error for the adaption time constant. \begin{equation} -err_i = (\langle (x^M_i - x^C_i)²\rangle) * c_i +err_i = c_i (\langle (x^M_i - x^C_i)²\rangle) \end{equation} -All errors were then summed up for the full error. The fits were done with the Nelder-Mead algorithm of scipy minimize \citep{gao2012implementing}. All model variables listed above in table \ref{tab:parameter_explanation} were fit at the same time except for $I_{Bias}$. $I_{Bias}$ was determined before each fitting iteration and set to a value giving the correct baseline frequency. +All errors were then summed up for the full error. The fits were done with the Nelder-Mead algorithm of scipy minimize \citep{gao2012implementing}. All model variables listed above in table \ref{tab:parameter_explanation} were fit at the same time except for $I_{Bias}$. $I_{Bias}$ was determined before each fitting iteration and set to a value giving the correct baseline frequency within 2\,Hz. \begin{table}[H] @@ -433,55 +436,127 @@ All errors were then summed up for the full error. The fits were done with the N \end{tabular} \caption{\label{tab:scaling_factors} Scaling factors for fitting errors.} \end{table} -% errors -%[error_vs, error_sc, error_cv, error_hist, error_bursty, error_f_inf, error_f_inf_slope, error_f_zero, error_f_zero_slope_at_straight, error_f0_curve] -% differences for baseline characteristics -% rms of ISI bins, f_0 response frequency trace -% abs diff of vs, sc, cv, burstiness -% fi-curve difference between f_inf slope , mean relative error between f_points - -% baseline frequency "set" with I_Bias +\todo{explain removal of bad models! Filter criteria how many filtered etc.} +\todo{explain how to draw random models from fitted model parameters! here probably?} \section{Results} + \begin{figure}[H] -\includegraphics[scale=0.5]{figures/fit_baseline_comparison.png} -\caption{\label{fig:comp_baseline} } +\centering +\includegraphics[width=\textwidth]{figures/dend_ref_effect.pdf} +\caption{\label{fig:dend_ref_effect} Effect of the addition of $\tau_{dend}$ and $t_{ref}$ to the model. Rows \textbf{1--3} different cells: not bursting, bursting or strongly bursting in \todo{color} the cell and in \todo{color} the model. The fits in each column (\textbf{A--C}) were done with different parameters to show their effect on the model. Column \textbf{A}: The cells were fit without $\tau_{dend}$. This causes the model to be unable to fit the vector strength correctly and the models are too strongly locked to the EOD phase. \textbf{B}: The models were fit without $t_{ref}$, because of that the model cannot match the burstiness of the cell. Visible in the missing high peak at the first EOD period. In column \textbf{C} the model all parameters. It can match the full spiking behavior of the cells for the different strengths of bursting.} \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} +\includegraphics[scale=0.6]{figures/example_bad_isi_hist_fits.pdf} +\caption{\label{fig:example_bad_isi_fits} \todo{Add pointer arrows in plot?} Problem cases in which the model ISI histogram wasn't fit correctly to the cell. \textbf{A--C} ISI histograms of different cells (\todo{color}) and their corresponding model (\todo{color}). \textbf{A}: Strongly bursting cell with large pauses between bursts, where the Model doesn't manage to reproduce the long pauses. \textbf{B}: Bursting cell with a high probability of firing in the first and second following EOD period. Here the model can't reproduce the high probability on the second following EOD period. \textbf{C}: Cell with a higher order structure \todo{??} in its ISI histogram. It only has a high firing probability every second EOD period which is also not represented in the model.} \end{figure} + \begin{figure}[H] -\includegraphics[scale=0.5]{figures/fit_burstiness_comparison.png} -\caption{\label{fig:comp_burstiness} } +\includegraphics[scale=0.6]{figures/example_good_fi_fits.pdf} +\caption{\label{fig:example_good_fi_fits} Good fit examples of the f-I curve. \textbf{A--C}: Three cells with different response patterns which are all well matched by their models. \todo{Color explanation} } \end{figure} +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/example_bad_fi_fits.pdf} +\caption{\label{fig:example_bad_fi_fits} Examples of bad fits of the f-I curve. \textbf{A--C}: Different cells. \todo{Color explanation}. \textbf{A}: model that did not fit the negative contrast responses of the $f_0$ response well but was successful in the positive half. It also was not successful in the $f_\infty$ response and shows a wrong slope. \textbf{B}: A fit that was successful for the lower $f_0$ response but overshoots the limit of the cell and fires too fast for high positive contrasts. It also has a slightly wrong $f_\infty$ response slope.} +\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.} +\includegraphics[scale=0.5]{figures/fit_baseline_comparison.pdf} +\caption{\label{fig:comp_baseline} Comparison of the cell behavior and the behavior of the corresponding fit: \textbf{A} baseline firing rate, \textbf{B} vector strength (VS) and \textbf{C} serial correlation (SC). The histograms compare the distributions of the cell (\todo{color}) and the model (\todo{color}). Below \todo{what is this plot called} In grey the line on which cell and model values are equal. \textbf{A}: The baseline firing rate of the cell and the model. The base rate agrees near perfectly as it is set to be equal within a margin of 2\,Hz during the fitting process. \textbf{B}: The vector strength agrees well for most cells but if the cells have a vector strength above 0.8 the probability increases for the models to show often a weaker VS than the cell. \textbf{C}: Comparison of the SC with lag 1. Here the models cluster more strongly and don't show quite the same range like the cells do. Models of cells with a strongly negative SC often have a weaker negative SC while the models in the opposite case show too strong negative correlations. In general is the fitting of the SC a lot more variable than the precise fitting of the VS.} \end{figure} \begin{figure}[H] -\includegraphics[scale=0.6]{figures/parameter_distributions.png} -\caption{\label{fig:parameter_distributions} } +\includegraphics[scale=0.5]{figures/fit_adaption_comparison.pdf} +\caption{\label{fig:comp_adaption} Comparison of the cell behavior and the behavior of the corresponding fit: \textbf{A} steady state $f_\infty$ and \textbf{B} onset $f_0$ response slope. In grey the line on which cell and model values are equal. Excluded \todo{how many} value pairs from $f_0$ slope as they had slopes higher than \todo{}. In \textbf{A} the $f_\infty$ slope pairs. Cell and models show good agreement with a low scattering in both direction. \textbf{B} The $f_0$ values show a higher spread and for steeper slopes the models have more often too flat slopes.} \end{figure} \begin{figure}[H] -\includegraphics[scale=0.6]{figures/parameter_correlations.png} -\caption{\label{fig:parameter_correlations} } +\includegraphics[scale=0.5]{figures/fit_burstiness_comparison.pdf} +\caption{\label{fig:comp_burstiness} Comparison of the cell behavior and the behavior of the corresponding fit: \textbf{A} burstiness, \textbf{B} coefficient of variation (CV). \textbf{A}: The model values for the burstiness agree well with the values of the model but again show a tendency that the higher the value of the cell the more the model value is below it. \textbf{B}: The CV also shows the problem of the burstiness but the values drift apart more slowly starting around 0.6.} +\end{figure} + + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/behaviour_correlations.pdf} +\caption{\label{fig:behavior_correlations} Significant correlations between the behavior variables in the data and the fitted models $p < 0.05$ (Bonferroni corrected). The models contain all the same correlations as the data except for the correlation between the baseline firing rate and the VS, but they also show four additional correlations not seen within the cells: bursting - base rate, SC - $f_\infty$ slope, $f_0$ slope - base rate, SC - base rate.} +\end{figure} + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/parameter_distributions.pdf} +\caption{\label{fig:parameter_distributions} Distributions of all eight model parameters. \textbf{A}: input scaling $\alpha$, \textbf{B}: Bias current $I_{Bias}$, \textbf{C}: membrane time constant $\tau_m$, \textbf{D}: noise strength $\sqrt{2D}$, \textbf{E}: adaption time constant $\tau_A$, \textbf{F}: adaption strength $\Delta_A$, \textbf{G}: time constant of the dendritic low pass filter $\tau_{dend}$, \textbf{H}: refractory period $t_{ref}$} +\end{figure} + +\todo{image with rescaled time parameters to 800\,Hz, add to above figure?} + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/parameter_correlations.pdf} +\caption{\label{fig:parameter_correlations} Significant correlations between model parameters $p < 0.05$ (Bonferroni corrected).} +\end{figure} + + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/parameter_distribution_with_gauss_fits.pdf} +\caption{\label{fig:parameter_dist_with_gauss_fits} Gauss fits used as approximations for the parameter distribution. In black the Gaussian fit used. All parameters except for $t_{ref}$ and $I_{Bias}$ were log transformed to get a more Gaussian distribution. \textbf{A}: Log input scaling $\alpha$, \textbf{B}: bias current $I_{Bias}$, \textbf{C}: Log membrane time constant $\tau_m$, \textbf{D}: Log noise strength $\sqrt{2D}$, \textbf{E}: Log adaption time constant $\tau_A$, \textbf{F}: Log adaption strength $\Delta_A$, \textbf{G}: Log time constant of the dendritic low pass filter $\tau_{dend}$, \textbf{H}: refractory period $t_{ref}$} +\end{figure} + + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/compare_parameter_dist_random_models.pdf} +\caption{\label{fig:drawn_parameter_dist} Parameter distribution between randomly drawn models \todo{color}orange and the fitted ones blue\todo{color}. \textbf{A}: input scaling $\alpha$, \textbf{B}: Bias current $I_{Bias}$, \textbf{C}: membrane time constant $\tau_m$, \textbf{D}: noise strength $\sqrt{2D}$, \textbf{E}: adaption time constant $\tau_A$, \textbf{F}: adaption strength $\Delta_A$, \textbf{G}: time constant of the dendritic low pass filter $\tau_{dend}$, \textbf{H}: refractory period $t_{ref}$} +\end{figure} + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/rand_parameter_correlations_comparison.pdf} +\caption{\label{fig:drawn_parameter_corr} Parameter correlation comparison between the fitted parameters and the ones drawn from the multivariant normal distribution. There are four correlations that do not agree between the two, but those are inconsistent in the drawn models (see discussion).} +\end{figure} + +\begin{figure}[H] +\includegraphics[scale=0.6]{figures/random_models_behaviour_dist.pdf} +\caption{\label{fig:drawn_behavior_dist} Behavior distribution of the randomly drawn models \todo{color}(orange) and the original cells \todo{color}(blue). The distribution of the seven behavior characteristics agree well for the most part, but especially the vector strength (VS) in \textbf{G} is offset to the distribution seen in the cells.} \end{figure} \section{Discussion} +\subsection*{Fitting quality} + +\begin{itemize} +\item many bursty cells not well fitted +\item bursties might need more data to be well defined (high variance in rate traces even with a mean of 7-10 trials) +\item different fitting routine / weights might also improve consistency of the fitting +\item Model CAN fit most types of cells but some with weird structure in ISI hist are not possible +\end{itemize} + +\subsection*{Behavior correlations} + +\begin{itemize} +\item Data correlation between base rate and VS unexpected and missing in the model. +\item data correlation between base rate and $f_0$ expected as $f_0$ ~ $f_\infty$ and $f_\infty$ ~ base rate (appeared in the model) + +\item Model correlation between base rate and burstiness probably error because of the problems to "fit the gap" between burst and other ISIs. (appeared in model) +\item above probably causes base rate - SC correlation and this causes the additional SC - $f_\infty$ correlation over $f_\infty$ ~ base rate + +\end{itemize} + +\subsection*{random models} + +\begin{itemize} +\item Gauss fits are in some cases questionable at best +\item resulting parameter distributions as such also not really that good + +\item Parameter correlations have 4--5 correlations whose significance is strongly inconsistent/random even when using 1000 drawn models (while compensating for higher power): thus acceptable result?? +\item behavior distribution not perfect by any means but quite alright except for the VS. Which definitely needs improvement! Maybe possible with more tweaking of the gauss fits. + +\end{itemize} \newpage \bibliography{citations} diff --git a/thesis/citations.bib b/thesis/citations.bib index 659b54d..9d76300 100644 --- a/thesis/citations.bib +++ b/thesis/citations.bib @@ -264,5 +264,15 @@ year={1973} } +@article{barlow1961possible, + title={Possible principles underlying the transformation of sensory messages}, + author={Barlow, Horace B and others}, + journal={Sensory communication}, + volume={1}, + pages={217--234}, + year={1961} +} + + diff --git a/thesis/figures/amGeneration.pdf b/thesis/figures/amGeneration.pdf index 5fdc6a098eb940c2e25a618183e0cc7154dea97e..ada7bb7d999c280d3311d97f87e5caf812dfa72c 100644 GIT binary patch delta 24542 zcmV)$K#srJgaXEy0Ca|fB&edeh&W6XN-{z<9$%{+5$uYdA_zy3)r<#YG+_8SlM_41bcXIibiKhz8U_9uQj+%fk()6%#3 zOfQgM_~YNc{VV=|fBN`~gas@O&)i4Bg?W9}QC6*K*7fm^-+%kjPd@(gZ}Ue^A3yo$ zZ}>0g+KE@<-~Z{`e=7g^<0rrP_BTJl-O^{`4e`I{AMn?I`PV=D#ZUj?xBva8zx?%I 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