My code is running too long

MARIA

2022 9 24

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5 次查看（30 天）

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Below you will find my code. I am having a problem running the code for more than 100 seconds (tlast). For 100 seconds I get a graph in my output. However, for more than 100 seconds it keeps running and does not give me any output. What is wrong with my code?

tic

global k1 kminus1 k2 kminus2

k1 = 0.1 ;

kminus1 = 0.1 ;

k2 = 0.3 ;

kminus2 = 0.05 ;

% dt = 0.001 ;

tlast = 100 ;

% iterations = round(tlast/dt) ;

S = 1.0 ;

E = 0.1 ;

ES = 0 ;

P = 0 ;

X = [S;E;ES;P] ;

% time = dt*(0:iterations-1) ;

[time2,X_all2] = ode45(@dXdt2,[0,tlast],X) ;

S_all = X_all2(:,1) ;

E_all = X_all2(:,2) ;

ES_all = X_all2(:,3) ;

P_all = X_all2(:,4) ;

figure

hold on

plot(time2,X_all2(:,1),'k','LineWidth',2)

plot(time2,X_all2(:,2),'g','LineWidth',2)

plot(time2,X_all2(:,3),'b','LineWidth',2)

plot(time2,X_all2(:,4),'r','LineWidth',2)

xlabel('time (s)')

ylabel('Concentration (uM)')

sgtitle ('Concentration vs. Time')

legend('S','E','ES','P')

toc

Elapsed time is 0.611294 seconds.

Below is the function used to pull the numbers for the plot:

function dX_2 = dXdt2 (t,X)
global k1 kminus1 k2 kminus2
S = X(1) ;
E = X(2) ;
ES = X(3) ;
P = X(4) ;
dS = -k1*S*E + kminus1*ES ;
dE = -k1*S*E + kminus1*ES + k2*ES -kminus2*E*P ;
dES = k1*S*E - kminus1*ES + kminus2*E*P ;
dP = k2*ES - kminus2*E*P ;
dX_2 = [dS;dE;dES;dP] ;
end

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MARIA 2022-9-24

Hello!

Yes, that should be correct since I am trying to model the conversion of Enzyme and Product back to an Enzyme-Substrate Complex. I'm modeling it as a reversible reaction.