Team:Evry/LogisticFunctions

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<ul>
<ul>
<li><b>Q</b> : Magnitude.<br/>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<i>lim(g)=Q</i></li>
<li><b>Q</b> : Magnitude.<br/>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<i>lim(g)=Q</i></li>
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<li><b>d</b> : Offset.</li><br/>
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<li><b>d</b> : Threshold.</li><br/>
<li><b>p</b> : Precision.<br/>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<i>g(d)=Q*p</i></li>
<li><b>p</b> : Precision.<br/>&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<i>g(d)=Q*p</i></li>
<li><b>k</b> : Efficiency.</li>
<li><b>k</b> : Efficiency.</li>

Revision as of 11:29, 29 August 2013

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 : Threshold.

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

References:

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