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Michaelis Menten kinetics

Implements liquid phase Michaelis-Menten reaction kinetics of the form

freact=Sν,

where S is the stoichiometric matrix and the fluxes are given by

νj=μmax,jcSkMM,j+cS,

where

  • j is the reaction index,

  • cS is the substrate component,

  • μmax,j, is the limiting rate approached by the system at saturation,

  • kMM,j is the Michaelis constant, which is defined as the concentration of substrate at which the reaction rate is half ov μmax,j.

In addition, the reaction might be inhibited by other components. In this case, the flux has the form

νj=μmax,jcSkMM,j+cSikI,j,ikI,j,i+cI,i.

Here, kI,j,i is the inhibition constant w.r.t component i and reaction j. If kI,j,i<=0, component i does not inhibit the reaction.