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Team:Evry/LogisticFunctions
From 2013.igem.org
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<p><img src="http://upload.wikimedia.org/math/b/e/3/be3fb0b303c46c4d582104ed4ef42636.png"/></p> | <p><img src="http://upload.wikimedia.org/math/b/e/3/be3fb0b303c46c4d582104ed4ef42636.png"/></p> | ||
<p>These functions looked perfect, but we needed <b>more control</b> : we needed to set a starting value and a precision.</p> | <p>These functions looked perfect, but we needed <b>more control</b> : we needed to set a starting value and a precision.</p> | ||
| - | < | + | <h2>Parameters:</h2> |
<ul> | <ul> | ||
<li><b>Q</b> : Magnitude.<br/>lim(g)=Q</li> | <li><b>Q</b> : Magnitude.<br/>lim(g)=Q</li> | ||
Revision as of 10:41, 29 August 2013
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:
Site developped by Gabriel Guillocheau
