(14/12/2011 Mathematical Biosciences 240, (2012), pp. 223-230 arXiv:1112.2836)
The Luria-Delbrück mutation model has a long history and has been mathematically formulated in several different ways. Here we tackle the problem in the case of a continuous distribution using some mathematical tools from nonlinear statistical physics.
Starting from the classical formulations we derive the corresponding differential models and show that under a suitable mean field scaling they correspond to generalized Fokker-Planck equations for the mutants distribution whose solutions are given by the corresponding Luria-Delbrück distribution. Numerical results confirming the theoretical analysis are also presented.
Links
download the manuscript
the Luria-Delbrück experiment
Eugene Kashdan web page
Links
download the manuscript
the Luria-Delbrück experiment
Eugene Kashdan web page