Team:Evry/LogisticFunctions

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Iron coli project

Logistic functions :

When we started to model biological behaviors, we realised very soon that we were going to need a function that simulates a non-exponential evolution, that would include a simple speed control and a maximum value. A smooth step function.

Such functions, named logistic functions were introduced around 1840 by M. Verhulst.

These functions looked perfect, but we needed more control : we needed to set a starting value and a precision.

Parameters:

  • Q : Magnitude.
    lim(g)=Q
  • d : Offset.
  • p : Precision.
    g(d)=Q*p
  • k : Efficiency.

References: