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Literature DB >> 10616278

Progress of a half century in the study of the Luria-Delbrück distribution.

Abstract

The Luria-Delbrück mutation model has been mathematically formulated in a number of ways. This review article examines four most important formulations, focusing on important practical issues closely linked with the distribution of the number of mutants. These issues include the probability generating functions, moments (cumulants), computational methods and asymptotics. This review emphasizes basic principles which not only help to unify existing results but also allow for a few useful extensions. In addition, the review offers a historical perspective and some new explanations of divergent moments.

Entities: Disease

Mesh：

Year: 1999 PMID： 10616278 DOI： 10.1016/s0025-5564(99)00045-0

Source DB: PubMed Journal: Math Biosci ISSN： 0025-5564 Impact factor: 2.144

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Cited

37 in total

Progress of a half century in the study of the Luria-Delbrück distribution.

1. Evolution of resistance during clonal expansion.

2. Mathematical issues arising from the directed mutation controversy.

3. A Bayesian two-level model for fluctuation assay.

Review 4. Evolution of acquired resistance to anti-cancer therapy.

5. Update on estimation of mutation rates using data from fluctuation experiments.

6. Theory of lethal mutagenesis for viruses.

7. On the probability of random genetic mutations for various types of tumor growth.

8. Large population solution of the stochastic Luria-Delbruck evolution model.

Review 9. Modeling Tumor Clonal Evolution for Drug Combinations Design.

10. Stochastic fate of p53-mutant epidermal progenitor cells is tilted toward proliferation by UV B during preneoplasia.