diff --git a/_toc.yml b/_toc.yml index 69f1882..8f6fb0c 100644 --- a/_toc.yml +++ b/_toc.yml @@ -2,4 +2,5 @@ format: jb-book root: paper.md chapters: - file: content/figure_1.ipynb - - file: content/figure_2.md \ No newline at end of file + - file: content/figure_2.md + - file: Generate_analytical_power_spectrum.ipynb diff --git a/content/notebooks/Generate_analytical_power_spectrum.ipynb b/content/notebooks/Generate_analytical_power_spectrum.ipynb new file mode 100644 index 0000000..ccdfb16 --- /dev/null +++ b/content/notebooks/Generate_analytical_power_spectrum.ipynb @@ -0,0 +1,577 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "78ecec01", + "metadata": {}, + "source": [ + "# Analytical Power Spectrum" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "d2c33c1e", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import math\n", + "import cmath\n", + "import matplotlib.pyplot as plt" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "468e4815", + "metadata": {}, + "outputs": [], + "source": [ + "freq = np.linspace(1,60,200)\n", + "freq1 = freq*10**(-3)" + ] + }, + { + "cell_type": "markdown", + "id": "fe80ceca", + "metadata": {}, + "source": [ + "## Jansen-Rit" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "beac4503", + "metadata": {}, + "outputs": [], + "source": [ + "# Jansen-Rit\n", + "nu_max = 2.5 \n", + "r = 0.56 \n", + "Ks = (nu_max*r)/2\n", + "Hee = 3.25\n", + "tau_e = 0.040 # Instead of 1/100. Both give alpha, but stronger for these values of tau_e and tau_i \n", + "Hii = 22\n", + "tau_i =0.052 # 1/50\n", + "C1 = 135\n", + "C2 = 0.8*C1\n", + "C3 = 0.25*C1\n", + "C4 = 0.25*C1\n", + "v0 = 6\n", + "w1 = 2*math.pi*freq\n", + "y_f =[]\n", + "for w in w1:\n", + " P = 220 # Mean of the input\n", + " G_e = (Hee*tau_e)/((tau_e*w*1j+1)**2)\n", + " G_i = (Hii*tau_i)/((tau_i*w*1j+1)**2)\n", + " y = ((P*G_e)/(1+Ks**(2)*G_e*(C3*C4*G_i-C1*C2*G_e)))\n", + " y_f.append(abs(y)**(2))" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "6d470938", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0, 'Frequency (Hz)')" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(4, 3))\n", + "plt.plot(freq,y_f, color='black')\n", + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.ylabel('Power (A.U.)')\n", + "plt.xlabel('Frequency (Hz)')" + ] + }, + { + "cell_type": "markdown", + "id": "c37d050b", + "metadata": {}, + "source": [ + "## Moran-David-Friston" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "b674f102", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Power spectra from the derived transfer function')" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# With derived transfer function\n", + "Ks = g;\n", + "tau_e = 1/kappa_e;\n", + "tau_i = 1/kappa_i;\n", + "res = []\n", + "for i in range(0,len(w1)):\n", + " Hs_e = (H_e*tau_e)/((tau_e*w1[i]*1j+1)**2) ;\n", + " Hs_i = (H_i*tau_i)/((tau_i*w1[i]*1j+1)**2);\n", + " \n", + " L_e = 1/((tau_e*w1[i]*1j+1)**2);\n", + " L_i = 1/((tau_i*w1[i]*1j+1)**2);\n", + "\n", + " G2 = gamma_2*Hs_e*Ks*Hs_e;\n", + " Gw = Ks*Hs_i*gamma_5;\n", + " Ginhib = Ks*Ks*gamma_3*gamma_4*Hs_i*Hs_e;\n", + " Gexc = Ks*Ks*gamma_1*gamma_2*Hs_e*Hs_e;\n", + " Y = (G2 + Gw*G2)/(1 + Gw + Ginhib - Gexc - Gexc*Gw);\n", + " res.append(abs(Y)**2)\n", + " \n", + "plt.figure(figsize=(4, 3))\n", + "plt.plot(freq,res, color='black')\n", + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.ylabel('Power (A.U.)')\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.title('Power spectra ')" + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "9c55ff37", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'Power spectra from the state-space matrice equations')" + ] + }, + "execution_count": 25, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Moran-David-Friston (Equations from 2007) \n", + "w1 = 2*math.pi*freq\n", + "\n", + "kappa_e = 1000/4\n", + "kappa_i = 1000/16 \n", + "H_e = 10 \n", + "H_i = 22 \n", + "gamma_1 = 128\n", + "gamma_2 = 128\n", + "gamma_3 = 64\n", + "gamma_4 = 64\n", + "gamma_5 = 1\n", + "rho_1 = 2\n", + "rho_2 = 1\n", + "g = (rho_1*math.exp(rho_1*rho_2))/((1+math.exp(rho_1*rho_2))**2)\n", + "\n", + "A = np.zeros((12,12))\n", + "B = np.zeros((12,1))\n", + "C = np.zeros((1,12))\n", + "I = np.identity(12)\n", + "\n", + "D = 0;\n", + "C[0,8] = 1;\n", + "B[3,0] = kappa_e*H_e\n", + "A[0,3] = 1\n", + "A[1,4] = 1\n", + "A[2,5] = 1\n", + "A[3,0] = -kappa_e**2\n", + "A[3,3] = -2*kappa_e\n", + "A[3,8] = kappa_e*H_e*gamma_1*g\n", + "A[4,0] = kappa_e*H_e*gamma_2*g\n", + "A[4,1] = -kappa_e**2\n", + "A[4,4] = -2*kappa_e\n", + "A[5,2] = -kappa_i**2\n", + "A[5,5] = -2*kappa_i\n", + "A[5,11] = kappa_i*H_i*gamma_4*g\n", + "A[6,7] = 1\n", + "A[7,6] = -kappa_e**2\n", + "A[7,7] = -2*kappa_e\n", + "A[7,8] = kappa_e*H_e*gamma_3*g \n", + "A[8,4] = 1\n", + "A[8,5] = -1\n", + "A[9,10] = 1\n", + "A[10,9] = -kappa_i**2\n", + "A[10,10] = -2*kappa_i\n", + "A[10,11] = kappa_i*H_i*gamma_5*g\n", + "A[11,7] = 1\n", + "A[11,10] = -1\n", + "H=[]\n", + "for w in w1:\n", + " res_test = np.dot(C,np.linalg.inv(w*1j*I-A))\n", + " new_arr = np.dot(res_test,B)\n", + " H.append(new_arr.reshape(-1))\n", + "Habs_new = [abs(i)**(2) for i in H]\n", + "plt.figure(figsize=(4, 3))\n", + "plt.plot(freq,Habs_new, color='black')\n", + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.ylabel('Power (A.U.)')\n", + "plt.xlabel('Frequency (Hz)')\n", + "plt.title('Power spectra from the state-space matrice equations')" + ] + }, + { + "cell_type": "markdown", + "id": "7535a519", + "metadata": {}, + "source": [ + "# Liley-Wright" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "091f8b0e", + "metadata": {}, + "outputs": [], + "source": [ + "# Liley-Wright (Equations from Hartoyo 2019)\n", + "def S_e(v): \n", + " spikerate = S_e_max/(1 + math.exp(-math.sqrt(2)*(v - mu_e)/sigma_e))\n", + " return spikerate\n", + "\n", + "def S_i(v):\n", + " spikerate = S_i_max/(1 + math.exp(-math.sqrt(2)*(v - mu_i)/sigma_i))\n", + " return spikerate\n", + "\n", + "def S_prime_e(h_e):\n", + " sprime = math.sqrt(2)/sigma_e*S_e_max/(1+math.exp(-math.sqrt(2)*(h_e-mu_e)/sigma_e))**(2)*math.exp(-math.sqrt(2)*(h_e-mu_e)/sigma_e)\n", + " return sprime\n", + "\n", + "def S_prime_i(h_i):\n", + " sprime = math.sqrt(2)/sigma_i*S_i_max/(1+math.exp(-math.sqrt(2)*(h_i-mu_i)/sigma_i))**(2)*math.exp(-math.sqrt(2)*(h_i-mu_i)/sigma_i)\n", + " return sprime\n", + "\n", + "h_e = -66.5987 \n", + "h_i = -58.5631 \n", + "h_erest = -69.6952;\n", + "h_irest = -74.4255;\n", + "N_ee_b = 2847.80;\n", + "N_ei_b = 4422.60;\n", + "N_ie_b = 744.01;\n", + "N_ii_b = 173.86;\n", + "Gamma_e = 1.9827\n", + "Gamma_i = 0.4169\n", + "gamma_e = 0.3030\n", + "gamma_i = 0.0486\n", + "tau_e = 106.1237\n", + "tau_i = 69.5959\n", + "S_e_max = 0.2943;\n", + "S_i_max = 0.0671;\n", + "mu_e = -40.0612;\n", + "mu_i = -52.8817;\n", + "sigma_e = 3.8213;\n", + "sigma_i = 2.4760;\n", + "h_eeq = -2.5335;\n", + "h_ieq = -87.5723;\n", + "p_ee = 3.1560\n", + "p_ei = 2.6976\n", + "p_ie = 0;\n", + "p_ii = 0;\n", + "\n", + "A_ee = (Gamma_e*gamma_e*math.e*N_ee_b)\n", + "A_ei = (Gamma_e*gamma_e*math.e*N_ei_b)\n", + "A_ie = (Gamma_i*gamma_i*math.e*N_ie_b)\n", + "A_ii = (Gamma_i*gamma_i*math.e*N_ii_b)\n", + "\n", + "I_ee = ((Gamma_e*math.e)/gamma_e)*(N_ee_b)*S_e(h_e)+((Gamma_e*math.e)/gamma_e)*p_ee\n", + "I_ei = ((Gamma_e*math.e)/gamma_e)*(N_ei_b)*S_e(h_e)+((Gamma_e*math.e)/gamma_e)*p_ei\n", + "I_ie = ((Gamma_i*math.e)/gamma_i)*(N_ie_b)*S_i(h_i)+((Gamma_i*math.e)/gamma_i)*p_ie\n", + "I_ii = ((Gamma_i*math.e)/gamma_i)*(N_ii_b)*S_i(h_i)+((Gamma_i*math.e)/gamma_i)*p_ii\n", + "\n", + "v_ee = (h_eeq-h_e)/(abs(h_eeq-h_erest))\n", + "v_ie = (h_ieq-h_e)/(abs(h_ieq-h_erest))\n", + "v_ei = (h_eeq-h_i)/(abs(h_eeq-h_irest))\n", + "v_ii = (h_ieq-h_i)/(abs(h_ieq-h_irest))\n", + "\n", + "w1 = 2*math.pi*freq1\n", + "\n", + "#w1 = np.arange(1,500,1)\n", + "Power =[]\n", + "H1_all = []\n", + "H2_all = []\n", + "for w in w1:\n", + " k_11 = w*1j + (1/tau_e)*(1 + (I_ee/abs(h_eeq-h_erest)) + (I_ie/abs(h_ieq-h_erest)))\n", + " k_13 = -(v_ee)/tau_e\n", + " k_15 = -(v_ie)/tau_e\n", + " k_22 = w*1j + (1/tau_i)*(1 + (I_ei/abs(h_eeq-h_irest)) + (I_ii/abs(h_ieq-h_irest)))\n", + " k_24 = -(v_ei)/tau_i\n", + " k_26 = -(v_ii)/tau_i\n", + " k_31 = -A_ee*S_prime_e(h_e)\n", + " k_33 = (w*1j + gamma_e)**(2)\n", + " k_41 = -A_ei*S_prime_e(h_e)\n", + " k_52 = -A_ie*S_prime_i(h_i)\n", + " k_55 = (w*1j + gamma_i)**(2)\n", + " k_62 = -A_ii*S_prime_i(h_i)\n", + "\n", + " H1 = k_13 / (k_13*k_31 - k_11*k_33)\n", + " H1_all.append(abs(H1)**2)\n", + " H2 = (k_15*k_24*k_41*k_52)/(k_13*(k_22*k_55 - k_26*k_62))\n", + " H2_all.append(abs(H2)**2)\n", + "\n", + " T = H1 / (1+H1*H2) \n", + " Power.append((abs(T))**(2)) \n" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "f71ec8fa", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0, 'Frequency (Hz)')" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(4, 3))\n", + "plt.plot(freq,Power, color='black')\n", + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.ylabel('Power (A.U.)')\n", + "plt.xlabel('Frequency (Hz)')" + ] + }, + { + "cell_type": "markdown", + "id": "ed78a996", + "metadata": {}, + "source": [ + "## Robinson-Rennie-Wright" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "c20f6a45", + "metadata": {}, + "outputs": [], + "source": [ + "# Robinson-Rennie-Wright (Equations from Robinson 2002)\n", + "\n", + "# Eyes closed (sleep) Parameters\n", + "G_ei = -4.11\n", + "G_ee = 2.07\n", + "G_es = 0.77\n", + "G_sn = 8.10\n", + "G_se = 7.77\n", + "G_sr = -3.3\n", + "G_rs = 0.2\n", + "G_re = 0.66\n", + "\n", + "G_esn = G_es*G_sn\n", + "G_srs = G_sr*G_rs\n", + "G_esre = G_es*G_sr*G_re\n", + "G_ese = G_es*G_se\n", + "alpha = 83\n", + "beta = 769\n", + "gamma_e = 116\n", + "t0 = 0.085\n", + "r_e = 0.086\n", + "mean_square_noise = 1\n", + "\n", + "w1 = 2*math.pi*freq\n", + "\n", + "Power1 = []\n", + "for w in w1:\n", + "\n", + " L = (1-(w*1j/alpha))**(-1)*(1-(w*1j/beta))**(-1)\n", + " qre_squared = (1-(w*1j/gamma_e))**(2) - (1/(1-G_ei*L))*(G_ee*L + ((G_ese*L**(2) + G_esre*L**(3))*cmath.exp(w*1j*t0))/(1-G_srs*L**(2)))\n", + " q_squared = qre_squared/(r_e**(2))\n", + " \n", + " term1 = mean_square_noise/(4*math.pi*r_e**(4))\n", + " term2 = abs((G_esn*L**(2))/((1-G_srs*L**(2))*(1-G_ei*L)))**(2)\n", + " term3 = abs(cmath.phase(q_squared)/(q_squared.imag))\n", + " Power1.append(term1 * term2 * term3)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "2b00a52f", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0, 'Frequency (Hz)')" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(4, 3))\n", + "plt.plot(freq,Power1, color='black')\n", + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.ylabel('Power (A.U.)')\n", + "plt.xlabel('Frequency (Hz)')" + ] + }, + { + "cell_type": "markdown", + "id": "e4cea2d5", + "metadata": {}, + "source": [ + "# All together and normalized" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "359b849f", + "metadata": {}, + "outputs": [], + "source": [ + "y_f_norm=y_f/sum(y_f)\n", + "Habs_new_norm=Habs_new/sum(Habs_new)\n", + "Power_norm = Power/sum(Power)\n", + "Power1_norm= Power1/sum(np.nan_to_num(Power1))" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "34f8b773", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(freq,y_f_norm, label=\"Jansen-Rit\", color= plt.cm.Dark2(0))\n", + "plt.plot(freq,Habs_new_norm, label=\"Moran\", color= plt.cm.Dark2(1))\n", + "plt.plot(freq,Power1_norm, label=\"Robinson\", color= plt.cm.Dark2(2))\n", + "plt.plot(freq,Power_norm, label=\"Liley\", color= plt.cm.Dark2(3))\n", + "plt.legend(loc=3)\n", + "\n", + "plt.yscale(\"log\")\n", + "plt.xscale(\"log\")\n", + "plt.axvspan(8, 14, color='red', alpha=0.2)\n", + "plt.xlabel(\"Frequency\")\n", + "plt.ylabel(\"Power (A.U.)\")\n", + "plt.title(\"Power Spectrum obtained with analytical expression\")\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "dd75c27d", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "alpha", + "language": "python", + "name": "alpha" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.9.16" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}