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果蝇节律调节模型

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xueyunfei666

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发表于 2009-7-19 15:13 |只看该作者 |倒序浏览

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本帖最后由 xueyunfei666 于 2009-7-20 08:03 编辑

[local]1[/local]主程序： [t,y]=ode45('guoying',[0 144],[0 0.35 0.35 0.15 0 0.45 0.35 0.25 0.15 0.6]); figure(1) plot(t,y(:,6),t,y(:,7),t,y(:,8),t,y(:,9),t,y(:,10),t,y(:,6)+y(:,7)+y(:,8)+y(:,9)+y(:,10)); figure(2) plot(t,y(:,6),t,y(:,10),t,y(:,6)+y(:,7)+y(:,8)+y(:,9)+y(:,10),t,); plot(t,y(:,1),t,y(:,5)); figure(3) plot(t,y(:,6)+y(:,7)+y(:,8)+y(:,9)+y(:,10),t,y(:,2)+y(:,3)+y(:,4)+y(:,9)+y(:,10)); for i=12:12:144 plot(i,2:0.01:4,'b:'); end
函数：
function dy=guoying(t,y)
dy=zeros(10,1);
Vsp=1;
Vst=Vsp;
Vmp=0.7;
Vmt=Vmp;
Kmp=0.2;
Kmt=Kmp;
Ksp=0.9;
Kst=Ksp;
Vdp=2;
Vdt=4-mod(fix(t/12),2)*2;
% Vdt=2;
plot(t,Vdt);
hold on;
K1=0.6;
K2=0.2;
K3=1.2;
K4=0.6;
Kip=1;
Kit=Kip;
Kdp=0.2;
Kdt=Kdp;
n=4;
K1p=2;
K1t=K1p;
K2p=K1p;
K2t=K1p;
K3p=K1p;
K3t=K1p;
K4p=K1p;
K4t=K1p;
Kd=0.01;
Kdc=Kd;
Kdn=Kd;
V1p=8;
V1t=V1p;
V2p=1;
V2t=V2p;
V3p=8;
V3t=V3p;
V4p=1;
V4t=V4p;
dy(1)=Vsp*Kip^n/(Kip^n+y(10)^n)-Vmp*y(1)/(Kmp+y(1))-Kd*y(1);
dy(2)=Ksp*y(1)-V1p*y(2)/(K1p+y(2))+V2p*y(3)/(K2p+y(3))-Kd*y(2);
dy(3)=V1p*y(2)/(K1p+y(2))-V2p*y(3)/(K2p+y(3))-V3p*y(3)/(K3p+y(3))+V4p*y(4)/(K4p+y(4))-Kd*y(3);
dy(4)=V3p*y(3)/(K3p+y(3))-V4p*y(4)/(K4p+y(4))-K3*y(4)*y(8)+K4*y(9)-Vdp*y(4)/(Kdp+y(4))-Kd*y(4);
dy(5)=Vst*Kit^n/(Kit^n+y(10)^n)-Vmt*y(5)/(Kmt+y(5))-Kd*y(5);
dy(6)=Kst*y(5)-V1t*y(6)/(K1t+y(6))+V2t*y(7)/(K2t+y(7))-Kd*y(6);
dy(7)=V1t*y(6)/(K1t+y(6))-V2t*y(7)/(K2t+y(7))-V3t*y(7)/(K3t+y(7))+V4t*y(8)/(K4t+y(8))-Kd*y(7);
dy(8)=V3t*y(7)/(K3t+y(7))-V4t*y(8)/(K4t+y(8))-K3*y(7)*y(8)+K4*y(9)-Vdt*y(8)/(Kdt+y(8))-Kd*y(8);
dy(9)=K3*y(4)*y(8)-K4*y(9)-K1*y(9)+K2*y(10)-Kdc*y(9);
dy(10)=K1*y(9)-K2*y(10)-Kdn*y(10);