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t£¨h£©[RH]              [ROOH]
0        8.32016                0
1        7.37673                0.21115
2        6.74433                0.7379
3        5.92613                1.10562
4        5.68806                1.29586
5        5.01584                1.58327
6        6.09249                1.36404
8        5.34827                1.84065
10        4.9961                2.00986
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function piadatfit2
clear all;clc
tspan=[0 1 2 3 4 5 6 8 10];
cexp=[8.32016 0;7.37673 0.21115;
    6.74433 0.7379;5.92613 1.10562;5.68806 1.29586;
    5.01584 1.58327;6.09249 1.36404;5.34827 1.84065;4.9961 2.00986];
k0=[-0.1 1 -2.3 13 0.2 0.4];
c0=[8.32016 0];
LB=[0 0 0 0 0 0];
UB=[+inf +inf +inf +inf +inf +inf];
[k,resnorm,residual]=lsqnonlin(@objpia,k0,LB,UB,[],cexp,tspan,c0)
[tplot cplot]=ode45(@piakin,tspan,c0,[],k);
plot(tspan,cexp(:,1),'bx',tplot,cplot(:,1),'b-',tspan,cexp(:,2),'ko',tplot,cplot(:,2),'k-')

function f=objpia(k,cexp,tspan,c0)
[t c]=ode45(@piakin,tspan,c0,[],k);
f1=c(:,1)-cexp(:,1);
f2=c(:,2)-cexp(:,2);
f=[f1;f2];
function dcdt=piakin(t,c,k)
dc1dt=-(k(4)*k(5)*c(1)*sqrt(k(1)*c(2)/k(3))/(k(4)+k(5)*c(1))+2*k(6)*k(2)*c(2));
dc2dt=(k(4)*k(5)*c(1)*sqrt(k(1)*c(2)/k(3))/(k(4)+k(5)*c(1))+2*k(6)*k(2)*c(2));
dcdt=[dc1dt dc2dt]';

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