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==Distribution==
Luria and Delbrück estimated the mutation rate from the equation
: <math> \mu = \frac{ \beta log( \rho ) }{ 1 - exp(- \beta t ) } </math>
where ''β'' is the cellular growth rate and
: <math> \rho = \frac{ N_s }{ N } </math>
where ''N''<sub>s</sub> is the number of cultures without resistant bacteria and ''N'' is the total number of cultures.
The [[generating function]] for the Lea and Coulson model is<ref name=Lea1949>Lea DE, Coulson CA (1949) "The distribution of the numbers of mutants in bacterial populations". ''J Genet'' 49:264–285</ref>
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