# Differential equations – solving the ODE system and estimating parameters with experimental data

I am new to Mathematica. I'm trying to find the most appropriate values ​​of the parameters that appear in an ODE system from three equations.
The three ODE equations are:

The experimental data set for the three equations in relation to time (in minutes) is:
adata = {{0.1}, {2,0,88}, {6, 0.69}, {10, 0.53}, {20, 0.28}, {30, 0.15}, { 50, 0.043}, {70, .012}, {90.0}, {120.0}, {150.0}, {200.0}}
bdata = {{0,0}, {2,0,12}, {6, .29}, {10, .42}, {20, .56}, {30, .57}, {50, .46 }, {70, .33}, {90,0,22}, {120,0,12}, {150, 0.06}, {200,0,02}}
cdata = {{0.0}, {2,0.003}, {6, .030}, {10, .050}, {20, .16}, {30, .28}, {50, .50}, {70, .66}, {90,0,78}, {120,0,88}, {150, 0.94}, {200,0,98}}
(The first entry in each pair is time)
The goal is to solve the ODE and then optimize the parameters (k1, k2) so that the equations can best describe the experimental data.
I would be very grateful if you could save some of your valuable time and help me with this question. Thank you very much