Minimization of two simultaneous ODES with shared parameters

Hi;

I have a system of two odes having shared k parameters. I want to integrate them using ode23 or similar and optimizing the k values by fitting to experimental data for c. I am lacking experimental data for L since it not assessible for measurement. I am not sure how execute this and any help is very appreciated.

% Two simulat. eqns describing system to be solved.
dcdt = -dcdz/tau + (RHOcat/EPS)*(-k(1)*.c + k(2)*.L);
dLdt = k(1)*.c - k(2)*.L - k(3)*.L;     

% Minization of experimental data to model
[k,Rsdnrm,Rsd,ExFlg,OptmInfo,Lmda,Jmat]=lsqcurvefit(@kinetics,k0,t,c)

[Torsten]

*. does not exist in MATLAB, only .*

[Matterazzi]

Typographic error.

Answer 1

[Torsten]

https://de.mathworks.com/matlabcentral/answers/43439-monod-kinetics-and-curve-fitting

[Star Strider]

@Torsten — Thank you!

[Matterazzi]

@Torsten and @Star Strider; thank you for commendable work that you are doing.

Answer 2

[Sulaymon Eshkabilov]

If you all other parameter values, then you can write a fcn handle or function file of the two ODEs. Then find the system solution symbolically.