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J Stat Phys. 2015 Feb;158(4):783-805. doi: 10.1007/s10955-014-1143-3. Epub 2014 Nov 15.

Scaling solution in the large population limit of the general asymmetric stochastic Luria-Delbrück evolution process.

Journal of statistical physics

David A Kessler, Herbert Levine

Affiliations

  1. Department of Physics, Bar-Ilan University, Ramat-Gan, IL52900 Israel.
  2. Center for Theoretical Biological Physics, Rice University, Houston, TX 77096, USA.

PMID: 26900175 PMCID: PMC4760705 DOI: 10.1007/s10955-014-1143-3

Abstract

One of the most popular models for quantitatively understanding the emergence of drug resistance both in bacterial colonies and in malignant tumors was introduced long ago by Luria and Delbrück. Here, individual resistant mutants emerge randomly during the birth events of an exponentially growing sensitive population. A most interesting limit of this process occurs when the population size

Keywords: Luria-Delbruck; alpha-stable distribution; growth; mutants

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