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Shirley89

银虫 (小有名气)

应助: 0 (幼儿园)
金币: 231.5
帖子: 196
在线: 64.5小时
虫号: 2320612
注册: 2013-03-05
性别: MM
专业: 蛋白质组学

[求助] 求大神帮忙，帮我看看问题出在哪里？

function parafit
%
% r1 =(k(1)*k(2)*c^2-0.25*k(3)*k(4)*(9.404-c)^2)/(1+k(2)*c+0.5*k(4)*(9.404-c));
%
% dCAdt = - r1;
clear all
clc
%       t/min CA    / mol/L
  Kinetics=[0 7.029559717
1 3.960706476
2 3.163862085
3 2.963057756
6 2.820434159
9 2.698109429
12 2.556212898
15 2.447100967
18 2.207246045
21 2.13921916
31 2.000403189
41 1.917172016
51 1.851299168
61 1.636287388];
c=Kinetics( :,1)';
k0 = [0.671 0.02253  0.641 0.04028];       % 参数初值
lb = [0 0 0 0];                % 参数下限
ub = [100 100  100  100]; % 参数上限
x0 = [7.029559717];
yexp = Kinetics;
warning off
% 使用函数fmincon()进行参数估计
[k,fval,flag] = fmincon(@ObjFunc7Fmincon,k0,[],[],[],[],lb,ub,[],[],x0,yexp);
fprintf('\n使用函数fmincon()估计得到的参数值为:\n')
fprintf('\tk1 = %.11f\n',k(1))
fprintf('\tk2 = %.11f\n',k(2))
fprintf('\tk3 = %.11f\n',k(3))
fprintf('\tk4 = %.11f\n',k(4))
fprintf('  The sum of the squares is: %.1e\n\n',fval)
k_fm= k;
warning off
% 使用函数lsqnonlin()进行参数估计
[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...
lsqnonlin(@ObjFunc7LNL,k0,lb,ub,[],x0,yexp);
ci = nlparci(k,residual,jacobian);
fprintf('\n\n使用函数lsqnonlin()估计得到的参数值为:\n')
fprintf('\tk1 = %.11f\n',k(1))
fprintf('\tk2 = %.11f\n',k(2))
fprintf('\tk3 = %.11f\n',k(3))
fprintf('\tk4 = %.11f\n',k(4))
fprintf('  The sum of the squares is: %.1e\n\n',resnorm)
k_ls = k;
output
warning off
% 以函数fmincon()估计得到的结果为初值，使用函数lsqnonlin()进行参数估计
k0 = k_fm;
[k,resnorm,residual,exitflag,output,lambda,jacobian] = ...
lsqnonlin(@ObjFunc7LNL,k0,lb,ub,[],x0,yexp);
ci = nlparci(k,residual,jacobian);
fprintf('\n\n以fmincon()的结果为初值，使用函数lsqnonlin()估计得到的参数值为:\n')
fprintf('\tk1 = %.11f\n',k(1))
fprintf('\tk2 = %.11f\n',k(2))
fprintf('\tk3 = %.11f\n',k(3))
fprintf('\tk4 = %.11f\n',k(4))
fprintf('  The sum of the squares is: %.1e\n\n',resnorm)
k_fmls = k;
output
tspan = [0 1 2 3 6 9 12 15 18 21 31 41 51 61];
[t x] = ode45(@KineticEqs,tspan,x0,[],k_fmls);
figure;
plot(t,x(:,1),t,yexp(:,2),'*');legend('ca-pr','ca-real')
x(:,1)
figure;plot(t,x);
hold on

% ------------------------------------------------------------------
function f = ObjFunc7Fmincon(k,x0,yexp)
tspan = [0 1 2 3 6 9 12 15 18 21 31 41 51 61];
[t x] = ode45(@KineticEqs,tspan,x0,[],k);
y(:,2) = x(:,1);
f =  sum((y(:,2)-yexp(:,2)).^2) ;
% ------------------------------------------------------------------
function f = ObjFunc7LNL(k,x0,yexp)
tspan = [0 1 2 3 6 9 12 15 18 21 31 41 51 61];
[t x] = ode45(@KineticEqs,tspan,x0,[],k);
y(:,2) = x(:,1);

f1 = y(:,2) - yexp(:,2);

f = [f1];
% ------------------------------------------------------------------
function dxdt = KineticEqs(t,x,k)
Kinetics=[0 7.029559717
1 3.960706476
2 3.163862085
3 2.963057756
6 2.820434159
9 2.698109429
12 2.556212898
15 2.447100967
18 2.207246045
21 2.13921916
31 2.000403189
41 1.917172016
51 1.851299168
61 1.636287388];
c=Kinetics(:,1)';
for i=1:14
c(i)=c(:,i);

r1 =(k(1)*k(2)*c(i)^2-0.25*k(3)*k(4)*(9.404-c(i))^2)/(1+k(2)*c(i)+0.5*k(4)*(9.404-c(i)));
dCAdt = - r1;
dxdt = [dCAdt];
end
运行出来是图中那样，不知道问题出在哪里，改变初值也不行。

H8_DJFZ~6NZC}07J0EXL1]L.png

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