I need help implementing a model to create a dose curve in python

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I have 30 differential equations from a scientific paper. I need to recapitulate the results in python to create a dose curve graph (ligand concentration vs. percent fold increase). I have all the parameters and model equations. I need a graph that shows a sigmoidal curve. I will then need someone to change initial conditions to get a new curve. I will need all the code and curves. 

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