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Copy path13dim_model_MAIN.m
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13dim_model_MAIN.m
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clear;clc;
h = 0.01;
t = 0:h:10000;
%%
% a = 0.6; b = 0.004; c1 = 0.0045; c2 = 0.077; c3 = 0.006; c4 = 0.008;
% c5 = 0.045; d1 = 0.5; d2 = 0.8; k1 = 0.6; k2 = 0.5; k3 = 0.6; k4 = 0.65;
%%
% e0 = 48; e1 = 0.7; e2 = 2.1; e3 = 1.7; p1 = 0.55; p2 = 0.45; h0 = 270;
% h1 = 2.5; h2 = 2; h3 = 10; h4 = 14;
%%
tau = 1.5; kLH = 2.42; alphaLH = 14; V0LH = 500; V1LH = 4500; KmLH = 200;
KiLHP = 12.2; CLHE = 0.004; CLHP = 0.26; VFSH = 375; alphaFSH = 8.21;
kFSH = 1.9; CFSHE = 0.0018; KiFSHIh = 3.5; CFSHP = 12; v = 2.5;
%%
b = 0.05; c1 = 0.08; c2 = 0.091; c3 = 0.13; c4 = 0.027; c5 = 0.51;
d1 = 0.5; d2 = 0.56; k1 = 0.55; k2 = 0.69; k3 = 0.85; k4 = 0.85;
alpha = 0.79; beta = 0.16; gama = 0.02; a = alpha;
%%
e0 = 30; e1 = 0.11; e2 = 0.21; e3 = 0.45; p0 = 0; p1 = 0.048; p2 = 0.048; h0 = 0.4;
h1 = 0.009; h2 = 0.029; h3 = 0.018;%; h4 = 14;
%%
RPLH(1) = 29.65;
LH(1) = 6.86;
RPFSH(1) = 8.47;
FSH(1) = 6.15;
ReF(1) = 3.83;
SeF(1) = 11.51;
PrF(1) = 5.48;
Ov1(1) = 19.27;
Ov2(1) = 45.64;
Lut1(1) = 100.73;
Lut2(1) = 125.95;
Lut3(1) = 135.84;
Lut4(1) = 168.71;
% RPLH(1) = 40;
% LH(1) = 12;
% RPFSH(1) = 20;
% FSH(1) = 11;
% ReF(1) = 5;
% SeF(1) = 1;
% PrF(1) = 1;
% Ov1(1) = 1;
% Ov2(1) = 1;
% Lut1(1) = 1;
% Lut2(1) = 1;
% Lut3(1) = 1;
% Lut4(1) = 1;
E2(1) = e0 + e1*SeF(1) + e2*PrF(1) + e3*Lut4(1);
P4(1) = p0 + p1*Lut3(1) + p2*Lut4(1);
Ih(1) = h0 + h1 * PrF(1) + h2 * Lut3(1) + h3 * Lut4(1);
% MsF(i) = MsF(i-1) + h * dMsF;
% GrF(i) = GrF(i-1) + h * dGrF;
% PrF(i) = PrF(i-1) + h*dPrF(i);
% Sc1(i) = Scl(i-1) + h*dScl;
% Sc2(i) = Sc2(i-1) + h*dSc2;
% Lut1(i) = Lut1(i-1) + h*dLut1;
% Lut2(i) = Lut2(i-1) + h*dLut2;
% Lut3(i) = Lut3(i-1) + h*dLut3;
% Lut4(i) = Lut4(i-1) + h*dLut4;
%%
for i = 2:length(t)
% val = 175*exp(-(t(i)-5)^2/120) + 150*exp(-(t(i)-35)^2/160);
% FSH(i) = 250 - (250*(t(i) - 15)^4 )/(1+(t(i)-15)^4) + val;
% LH(i) = 380 - 352*(t(i)-15)^4/(1+(t(i)-15)^4);
% Ih(i) = h0 + h1 * PrF(i) + h2 * Lut2(i) + h3 * Lut3(i) + h4 * Lut4(i); %290 U/L
dRPLHp1 = (V0LH+((V1LH*E2(i-1)^8)/(KmLH^8+E2(i-1)^8)))/(1+(P4(i-1))/KiLHP);
dRPLHp2 = -(kLH*(1+CLHP*P4(i-1))*RPLH(i-1))/(1+CLHE*E2(i-1));
dRPLH = dRPLHp1 + dRPLHp2;
RPLH(i) = RPLH(i-1) + h * dRPLH;
dLH = (1/v)*(kLH*(1+CLHP*P4(i-1))*RPLH(i-1))/(1+CLHE*E2(i-1))-alphaLH*LH(i-1);
LH(i) = LH(i-1) + h * dLH;
dRPFSH = VFSH/(1+(Ih(i-1)/KiFSHIh))-(kFSH*(1+CFSHP*P4(i-1))*RPFSH(i-1))/(1+CFSHE*E2(i-1)^2);
RPFSH(i) = RPFSH(i-1) + h * dRPFSH;
dFSH = (1/v)*((kFSH*(1+CFSHP*P4(i-1)))*RPFSH(i-1))/(1+CFSHE*E2(i-1)^2)-alphaFSH*FSH(i-1);
FSH(i) = FSH(i-1) + h * dFSH;
% dMsF = b*FSH(i) + (c1*FSH(i) - c2*LH(i)^a)*MsF(i-1);
% MsF(i) = MsF(i-1) + h * dMsF;
dReF = b*FSH(i-1) + (c1*FSH(i-1) - c2*LH(i-1)^a)*ReF(i-1);
ReF(i) = ReF(i-1) + h * dReF;
dSeF = c2*LH(i-1)^a*ReF(i-1) + (c3*LH(i-1)^beta - c4*LH(i-1))*SeF(i-1);
SeF(i) = SeF(i-1) + h * dSeF;
dPrF = c4*LH(i-1)*SeF(i-1) - c5*LH(i-1)^gama*PrF(i-1);
PrF(i) = PrF(i-1) + h*dPrF;
% dSc1 = c5*LH(i)^a*PrF(i-1) - d1* Sc1(i-1);
% Sc1(i) = Sc1(i-1) + h*dSc1;
% dSc2 = d1*Sc1(i-1) - d2* Sc2(i-1);
% Sc2(i) = Sc2(i-1) + h*dSc2;
dOv1 = c5*LH(i-1)^gama*PrF(i-1) - d1* Ov1(i-1);
Ov1(i) = Ov1(i-1) + h * dOv1;
dOv2 = d1*Ov1(i-1) - d2* Ov2(i-1);
Ov2(i) = Ov2(i-1) + h * dOv2;
dLut1 = d2*Ov2(i-1) - k1*Lut1(i-1);
Lut1(i) = Lut1(i-1) + h*dLut1;
dLut2 = k1*Lut1(i-1) - k2*Lut2(i-1);
Lut2(i) = Lut2(i-1) + h*dLut2;
dLut3 = k2*Lut2(i-1) - k3*Lut3(i-1);
Lut3(i) = Lut3(i-1) + h*dLut3;
dLut4 = k3*Lut3(i-1) - k4*Lut4(i-1);
Lut4(i) = Lut4(i-1) + h*dLut4;
E2(i) = e0 + e1*SeF(i-1) + e2*PrF(i-1) + e3*Lut4(i-1);
P4(i) = p0 + p1*Lut3(i-1) + p2*Lut4(i-1);
Ih(i) = h0 + h1 * PrF(i-1) + h2 * Lut3(i-1) + h3 * Lut4(i-1);
y(1)=(V1LH*E2(1)^8)/(KmLH^8+E2(1)^8);
y(i)=(V1LH*E2(i-1)^8)/(KmLH^8+E2(i-1)^8);
end
figure(1);
subplot(3,1,1); hold on; grid minor
plot(t, E2, 'Linewidth', 2)
xlabel('days')
ylabel('E_2 [ng/L]')
title('The amount of Estradiol (E_2) in blood')
subplot(3,1,2); hold on; grid minor
plot(t, P4, 'Linewidth', 2)
xlabel('days')
ylabel('P_4 [nmol/L]')
title('The amount of Progesterone (P_4) in blood')
subplot(3,1,3); hold on; grid minor
plot(t, Ih, 'Linewidth', 2)
xlabel('days')
ylabel('I_h [U/L]')
title('The amount of Inhibin (Ih) in blood')
sgtitle('Ovarian Hormones')
% figure(2);
% subplot(3,1,1); hold on; grid minor
% plot(t, ReF, 'Linewidth', 2)
% xlabel('days')
% ylabel('ReF')
% title('The amount of Estradiol (ReF) in blood')
%
% subplot(3,1,2); hold on; grid minor
% plot(t, SeF, 'Linewidth', 2)
% xlabel('days')
% ylabel('SeF')
% title('The amount of Progesterone (SeF) in blood')
%
% subplot(3,1,3); hold on; grid minor
% plot(t, PrF, 'Linewidth', 2)
% xlabel('days')
% ylabel('PrF')
% title('The amount of Inhibin (PrF) in blood')
figure(3);
subplot(2,1,1); hold on; grid minor
plot(t, FSH, 'Linewidth', 2)
xlabel('days')
ylabel('FSH')
title('The amount of FSH in blood')
subplot(2,1,2); hold on; grid minor
plot(t, LH, 'Linewidth', 2)
xlabel('days')
ylabel('LH')
title('The amount of LH in blood')
sgtitle('Gonadotropin Hormones')
% Km_LH = 50:h:400;
%%
% figure(4);hold on;grid on;
% plot(E2,y)
%
% figure(5);hold on;grid on;
% plot(E2,LH)