colour.biochemistry.substrate_concentration_MichaelisMenten_Michaelis1913#

colour.biochemistry.substrate_concentration_MichaelisMenten_Michaelis1913(v: ArrayLike, V_max: ArrayLike, K_m: ArrayLike) → NDArrayFloat[source]#

Compute substrate concentration by relating the concentration of a substrate \(S\) to the reaction rate \(v\) using the Michaelis-Menten kinetics equation..

Parameters:

  • v (ArrayLike) – Reaction rate \(v\).

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

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

Returns:

Concentration of a substrate \(S\).

Return type:

numpy.ndarray

References

[Wikipedia03d]

Examples

>>> substrate_concentration_MichaelisMenten(0.961538461538461, 2.5, 0.8)
...
np.float64(0.4999999...)