Solving systems of differential equations

[StephanM87]

Now we know how to solve differential equations using scipy, the next step will be the questions how to solve diff eq system:

The following Problem can serve as Basis: Chemical reaction of the first oder not reversible. The data can be descibed by the differential eq:

Where: 
A = Substrate concentration
P = product concentration

dA/dt = -k1*A
dP/dt = +k2*(A0-A)

Data for this approach can be found in excel file

The colums of interest in the excel sheet are:

• Zeit
• Substratkonzentration k1 (A)
• Produktkonzentration k1 (P)

[StephanM87]

See Result in: https://github.com/BioCatHub/wt_modeling/blob/main/Drafts/lmfit_biocatalysis/dgls.ipynb