colour.biochemistry.substrate_concentration_MichaelisMenten_Abebe2017#

colour.biochemistry.substrate_concentration_MichaelisMenten_Abebe2017(v: FloatingOrArrayLike, V_max: FloatingOrArrayLike, K_m: FloatingOrArrayLike, b_m: FloatingOrArrayLike) FloatingOrNDArray[source]#

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

Parameters:
  • v (FloatingOrArrayLike) – Reaction rate \(v\).

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

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

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

Returns:

Concentration of a substrate \(S\).

Return type:

numpy.floating or numpy.ndarray

References

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Examples

>>> substrate_concentration_MichaelisMenten_Abebe2017(
...     0.695151224195871, 1.448, 0.635, 0.813)  
0.4999999...