is it possible to determine the values ​​of the input parameters ca, cb, cc and cd for which the cc value at the output would be maximal?

is it possible to determine the values ​​of the initial concentrations ca, cb and cd for which the cc value at the output would be maximal? The differential equations are:

dca/dt=-theta1 * ca-theta2*cA;
dcb/dt= theta1*ca+theta4*cc*theta3*cb-theta5*cd
dcc/dt= theta2*cA+theta3*cb*theta*cC*theta6*cd
dcd/dt= theta5*cb*theta6*cd

Yca=cc/ca0

or is it possible to maximize yield Yca.

Thetas are kinetic parameter and they are known.

ca and cb are concentrations of reactants, while the cc and cd are concentrations of products. cd is also present at the beggining of reaction.

Thanks in advance.

[Walter Roberson]

is cA the same as ca, and is cC the same as cc ?

Is theta distinct from theta1, theta2, theta3, theta4, theta5, theta6, or did you miss a numeric suffix?

[Bosnian Kingdom]

I made mistake. Yes, cA is ca, and cC is cc. And theta is theta4, so the correct equations are:

dca/dt=-theta1 * ca-theta2*cA;

dcb/dt= theta1*ca+theta4*cc*theta3*cb-theta5*cd

dcc/dt= theta2*cA+theta3*cb*theta4*cc*theta6*cd

dcd/dt= theta5*cb*theta6*cd

[Walter Roberson]

Then those are the same equations as your other question that I already described the solutions to.

Answer 1

[Alan Weiss]

Yes, take a look at this example, which has a much more complicated objective function. If your objective function is only the value of Yca at the final point, well, just minimize -Yca(end) as the objective function.

Alan Weiss

MATLAB mathematical toolbox documentation

[Bosnian Kingdom]

Do I must create another script or?