colour.biochemistry.michaelis_menten Module

Michaelis–Menten Kinetics

Implements support for Michaelis–Menten kinetics, a model of enzyme kinetics:

References

[1]Wikipedia. (n.d.). Michaelis–Menten kinetics. Retrieved April 29, 2017, from https://en.wikipedia.org/wiki/Michaelis–Menten_kinetics
colour.biochemistry.michaelis_menten.reaction_rate_MichealisMenten(S, V_max, K_m)[source]

Describes the rate of enzymatic reactions, by relating reaction rate \(v\) to concentration of a substrate \(S\).

Parameters:
  • S (array_like) – Concentration of a substrate \(S\).
  • V_max (array_like) – Maximum rate \(V_{max}\) achieved by the system, at saturating substrate concentration.
  • K_m (array_like) – Substrate concentration \(V_{max}\) at which the reaction rate is half of \(V_{max}\).
Returns:

Reaction rate \(v\).

Return type:

array_like

Examples

>>> reaction_rate_MichealisMenten(0.5, 2.5, 0.8)  
0.9615384...
colour.biochemistry.michaelis_menten.substrate_concentration_MichealisMenten(v, V_max, K_m)[source]

Describes the rate of enzymatic reactions, by relating concentration of a substrate \(S\) to reaction rate \(v\).

Parameters:
  • v (array_like) – Reaction rate \(v\).
  • V_max (array_like) – Maximum rate \(V_{max}\) achieved by the system, at saturating substrate concentration.
  • K_m (array_like) – Substrate concentration \(V_{max}\) at which the reaction rate is half of \(V_{max}\).
Returns:

Concentration of a substrate \(S\).

Return type:

array_like

Examples

>>> substrate_concentration_MichealisMenten(
...     0.961538461538461, 2.5, 0.8)  
0.4999999...