Yuan, Linglong 
ORCID: 0000-0002-7851-1631
(2017)
A generalization of Kingman’s model of selection and mutation and the Lenski experiment.
Mathematical Biosciences, 285.
pp. 61-67.
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Abstract
Kingman’s model of selection and mutation studies the limit type value distribution in an asexual population of discrete generations and infinite size undergoing selection and mutation. This paper generalizes the model to analyze the long-term evolution of Escherichia. coli in Lenski experiment. Weak assumptions for fitness functions are proposed and the mutation mechanism is the same as in Kingman’s model. General macroscopic epistasis are designable through fitness functions. Convergence to the unique limit type distribution is obtained.
| Item Type: | Article |
|---|---|
| Additional Information: | Keywords: Selection-Mutation balance, House of Cards, Type distribution, Fitness function, Experimental evolution, Lenski experiment, Escherichia. coli, Condensation |
| Uncontrolled Keywords: | selection-mutation balance, house of cards, type distribution, fitness function, Lenski experiment, Escherichia coli |
| Depositing User: | Symplectic Admin |
| Date Deposited: | 01 Apr 2020 10:56 |
| Last Modified: | 18 Jan 2023 23:56 |
| DOI: | 10.1016/j.mbs.2016.12.007 |
| Related URLs: | |
| URI: | https://livrepository.liverpool.ac.uk/id/eprint/3081331 |
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