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function  QQQ_4_13_NJ_cs_2
format long
clear all
clc
tspan = [0 0.25 1 3 9 22 35 91 135 ];
x0 = [19750        0        0        0        5250];
k0 = [0.147;0.19;0.03 ;0.02;0.01;0.000001184;3.7;13];
lb = [0;0;0;0;0;0;0;0];
ub = [];
data=...
   [
0.25        21300        100.225875        46.63575        16.168        3536.970375
1        22050        40.657785        14.123025        8.6688        2874.46475
3        21750        101.43456        48.06252        19.9383        3052.32539
9        19500        279.2715        190.106        23.3415        4908.7372
22        20200        390.3344        403.5        38.5308        3759.5435
35        18550        245.784        262.899        11.2602        5756.7424
91        17950        296.3025        363.12        20.31        6015.16875
135        17500        279.4176        467.418        11.8272        6891.531067
];
yexp = data(:,2:6);

[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...
  lsqnonlin(@ObjFunc,k0,lb,ub,[],tspan,x0,yexp);
ci = nlparci(k,residual,jacobian);
fprintf('\n\nʹÓú¯Êýlsqnonlin()¹À¼ÆµÃµ½µÄ²ÎÊýֵΪ:\n')
fprintf('\tk(1) = %.9f ¡À %.9f\n',k(1),ci(1,2)-k(1))
fprintf('\tk(2) = %.9f ¡À %.9f\n',k(2),ci(2,2)-k(2))
fprintf('\tk(3) = %.9f ¡À %.9f\n',k(3),ci(3,2)-k(3))
fprintf('\tk(4) = %.9f ¡À %.9f\n',k(4),ci(4,2)-k(4))
fprintf('\tk(5) = %.9f ¡À %.9f\n',k(5),ci(5,2)-k(5))
fprintf('\tk(6) = %.9f ¡À %.9f\n',k(6),ci(6,2)-k(6))
fprintf('\tk(7) = %.9f ¡À %.9f\n',k(7),ci(7,2)-k(7))
fprintf('\tk(8) = %.9f ¡À %.9f\n',k(8),ci(8,2)-k(8))
fprintf('The sum of the squares is:%.9e\n\n',resnorm)




function f = ObjFunc(k,tspan,x0,yexp) % Ä¿±êº¯Êý
[t Xsim] = ode45(@KineticsEqs,tspan,x0,[],k);
Xsim1=Xsim(:,1);
Xsim2=Xsim(:,2);
Xsim3=Xsim(:,3);
Xsim4=Xsim(:,4);
Xsim4=Xsim(:,5);
ysim(:,1) = Xsim1(2:end);
ysim(:,2) = Xsim2(2:end);
ysim(:,3) = Xsim3(2:end);
ysim(:,4) = Xsim4(2:end);
ysim(:,5) = Xsim4(2:end);

size(ysim(:,1));
size(ysim(:,2));
size(ysim(:,3));
size(ysim(:,4));
size(ysim(:,5));
size(yexp(:,1));
size(yexp(:,2));
size(yexp(:,3));
size(yexp(:,4));
size(yexp(:,5));

f1=ysim(:,1)-yexp(:,1);
f2=ysim(:,2)-yexp(:,2);
f3=ysim(:,3)-yexp(:,3);
f4=ysim(:,4)-yexp(:,4);
f5=ysim(:,5)-yexp(:,5);
f = [f1;f2;f3;f4;f5];

function dCdt = KineticsEqs(t,C,k) % ODEÄ£ÐÍ·½³Ì
dCAdt =-(k(3)+k(5)+k(7))*C(1)+k(1)*C(2)+k(2)*C(3)+k(2)*C(4)+k(8)*C(5);
dCBdt = k(3)*C(1)-(k(1)+k(6))*C(2)+k(4)*C(3)+k(4)*C(4);
dCCdt = k(5)*C(1)+k(6)*C(2)-(k(2)+k(4))*C(3);
dCDdt = k(5)*C(1)+k(6)*C(2)-(k(2)+k(4))*C(4);
dCEdt = k(7)*C(1)-k(8)*C(5);
dCdt  = [dCAdt;dCBdt;dCCdt;dCDdt;dCEdt];
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