Transform sum formula to then use it into a ODE solver

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hna 2019-12-29

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https://ww2.mathworks.cn/matlabcentral/answers/498375-transform-sum-formula-to-then-use-it-into-a-ode-solver

评论： darova 2019-12-29

eq_difftofit_Treatment_Model.m

Hello,

I am trying to resolve a differential equation with some data that I've got. However I don't know how to translate this equation into a matlab code. At the moment I am working on the first file of my program which is the one where I will desribe my diffrential equation. I will later create other files to use the present function into an ODE solver.

So my differential equation is: dV/dt = (alpha - beta * cAA(t)) * V(t)

I have attached a picture with the formula of cAA that i don't now how to incorporate into my differential equation formula. In this equation

Dm, ka and k are known as well as t and Tadm.

I have attached my matlab code, of course at the minute it is not complete as I am stuck.

Thanks in advance,

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hna 2019-12-29

So bascially here I am looking at the volume of tumor over a period of time which is my differential equation dv/dt.

Caa or X(t) in the dv/dt equation is the concentration of drug in the body.

ka: drug absorption variable by the gut

k: drug elimination variable

Dm: Drug dose

Tadm: time at which the drug is administrated.

Here I have a set of data that I want to fit using this model where the drug is administrated every day for a period of 22 days.

darova 2019-12-29

在 MATLAB Online 中打开

Try

ka = ; %known 
k = ; %known
Tadm = ; %known
t = ; %known
Caa = @(t) D*(ka/(ka-k)*(exp(-ka(t-Tadm)))
F = @(t,v) alpha-beta*Caa(t)*v;
[t,v] = ode45(F, ...)