colour.biochemistry.reaction_rate_MichaelisMenten_Abebe2017#

colour.biochemistry.reaction_rate_MichaelisMenten_Abebe2017(S: ArrayLike, V_max: ArrayLike, K_m: ArrayLike, b_m: ArrayLike) NDArrayFloat[source]#

Describe the rate of enzymatic reactions, by relating reaction rate \(v\) to concentration of a substrate \(S\) according to the modified Michaelis-Menten kinetics equation as given by Abebe, Pouli, Larabi and Reinhard (2017).

Parameters:
  • S (ArrayLike) – Concentration of a substrate \(S\) (or \((\cfrac{Y}{Y_n})^{\epsilon}\)).

  • V_max (ArrayLike) – Maximum rate \(V_{max}\) (or \(a_m\)) achieved by the system, at saturating substrate concentration.

  • K_m (ArrayLike) – Substrate concentration \(K_m\) (or \(c_m\)) at which the reaction rate is half of \(V_{max}\).

  • b_m (ArrayLike) – Bias factor \(b_m\).

Returns:

Reaction rate \(v\).

Return type:

numpy.ndarray

References

[APLR17]

Examples

>>> reaction_rate_MichaelisMenten_Abebe2017(0.5, 1.448, 0.635, 0.813)
... 
0.6951512...