Team:Toulouse/Modelling

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In our cases, µ depends on the temperature. N corresponds to the bacterial population, Nmin and Nmax are two asymptotes. Parameter "m" is a curvature parameter; larger is m, smaller is the curvature of the deceleration phase with the model. Parameter n is a parameter related to the period lag; larger is n, shorter is the period of lag. Nmin is slightly lower than N0, when N is small, close to Nmin, as the initial state (N is equal to N0), Nmin / N is almost equal to 1 so the term ( 1 - ( Nmin / N) ) is less than 1, growth is very slow. If N decrease until reach Nmin the term (1-(Nmin/N)) is equal to 0 thus there are can not be any growth. Similarly when N is equal to Nmax the term (1- (N / Nmax ) ) is equal to 0 and the growth is blocked.</br>
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In our cases, µ depends on the temperature. N corresponds to the bacterial population, Nmin and Nmax are two asymptotes. Parameter "m" is a curvature parameter; larger is m, smaller is the curvature of the deceleration phase with the model. Parameter n is a parameter related to the period lag; larger is n, shorter is the period of lag. Nmin is slightly lower than N0, when N is small, close to Nmin, as the initial state (N is equal to N0), Nmin / N is almost equal to 1 so the term (1-(Nmin/N)) is less than 1, growth is very slow. If N decrease until reach Nmin the term (1-(Nmin/N)) is equal to 0 thus there can not be any growth. Similarly when N is equal to Nmax the term (1-(N/Nmax)) is equal to 0 and the growth is blocked.</br>
To overcome this we labor under two conditions , positive growth and negative growth, so two equations.This led to the writing of this model:</p>
To overcome this we labor under two conditions , positive growth and negative growth, so two equations.This led to the writing of this model:</p>

Revision as of 14:43, 13 October 2014