# 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 $$V_{max}$$. Reaction rate $$v$$. 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 $$V_{max}$$. Concentration of a substrate $$S$$. array_like

Examples

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