[R] Solving a nonlinear System of equations

[Andrej Iljitsch Schmelzer]

Hello there,

I wish to solve the following nonlinear System of equations:

+ u1 - Vmax11*S1/(S1 + Km11 *(1 + S2/Km21)) - Vmax12*S1/( S1 + Km12 *(1+S2/Km22)) == 0
+ u2 - Vmax22*S2/(S2 + Km22 *(1 + S1/Km12)) - Vmax21*S2/( S2 + Km21 *(1+S1/Km11)) == 0 
+ Vmax11*S1/(S1 + Km11 *(1 + S2/Km21)) + Vmax12*S1/( S1 + Km12 *(1+S2/Km22)) - d1*P1 == 0
+ Vmax22*S2/(S2 + Km22 *(1 + S1/Km12)) + Vmax21*S2/( S2 + Km21 *(1+S1/Km11)) - d2*P2 == 0

S1, S2, P1, P2 are the Variables, 
u1, u2, Vmax11, Vmax12, Vmax21, Vmax22, Km11, Km12, Km21, Km22, d1 and d2 are Parameters which are given before the solving is attempted. My intention/endgame is to vary 2 or more of the Parameters and obtain a heatmap out of the resulting stationary points.



Best Wishes, 

Andrej Schmelzer

                    
                 
                 

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