Develop a Kinetic Model

Question

Karan Suresh 2019-6-27

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/469278-develop-a-kinetic-model

Hi. I need to develop a running MATLAB function to get the output graph shown below using the kinetic equations below . I tried to use a function to develop the code but it doesnt give the right result

The reaction is as follows :

The reactions in the second picture are intermediate reactions.

The required output is as shown in Fig 6 (a)

Here is the function code I developed with values for rate constants (values of k ) being assumed from the paper and the output I got from that code :

function [f] = conc(~,x)

%UNTITLED4 Summary of this function goes here

% Detailed explanation goes here

dx=zeros(6,1);

%rate constant values

k1p = 4*(10^(-3));

k1m = 2.2*(10^(-17));

k2p = 7.5*(10^(-3));

k2m = 1.9*(10^(-25));

k3p = 1.3*(10^(-4));

k3m = 1.3*(10^(-10));

k4p = 3.1*(10^(-5));

k4m = 1.3*(10^(-3));

%ODES

dx(1) = -k1p*x(1)*x(2) - k2p*x(1)*x(3) + k1m*x(4) + k2m*x(5);

dx(2) = -k1p*x(1)*x(2) - k4p*x(5)*x(2) + k1m*x(4) + k4m*x(6);

dx(3) = -k2p*x(1)*x(3) - k3p*x(4)*x(3) + k2m*x(5) + k3m*x(6);

dx(4) = -k3p*x(4)*x(3) - k1m*x(4) + k3m*x(6) + k1p*x(1)*x(2);

dx(5) = -k4p*x(5)*x(2) - k2m*x(5) + k4m*x(6) + k2p*x(1)*x(3);

dx(6) = k3p*x(4)*x(3) + k4p*x(5)*x(2) -k3m*x(6) - k4m*x(6) ;

f=[dx]; %o/p

Main Code

>> [t,x] = ode15s(@conc,[0 100],[0 30 60 30 0 0]);

>> plot(t,x)

>> legend('[M]','[Q]','[T]','[MQ]','[QT]','[MQT]')

>> title(‘Kinetic Analysis’)

>> xlabel(‘Time(in seconds)’)

>> ylabel(‘Concentration(in nM)’)

I want to know what the error with the code is and also if anyone can develop a function codem that gives the required response , it would of great help