michaelis_menten#
- pymc_marketing.mmm.transformers.michaelis_menten(x, alpha, lam)[source]#
Evaluate the Michaelis-Menten function for given values of x, alpha, and lambda.
The Michaelis-Menten function models enzyme kinetics and describes how the rate of a chemical reaction increases with substrate concentration until it reaches its maximum value.
\[\alpha \cdot \frac{x}{\lambda + x}\]- where:
\(x\): Channel spend or substrate concentration.
\(\alpha\): Maximum contribution or efficiency factor.
\(\lambda\) (k): Michaelis constant, representing the threshold substrate concentration.
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Source code,png,hires.png,pdf)
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Source code,png,hires.png,pdf)
- Parameters:
x (float) – The spent on a channel.
alpha (float) – The maximum contribution a channel can make.
lam (float) – The Michaelis constant for the given enzyme-substrate system.
- Returns:
The value of the Michaelis-Menten function given the parameters.
- Return type:
float
