| Full text | |
| Author(s): |
Maia, Leonardo P.
[1]
;
Botelho, Daniela F.
;
Fontanari, José F.
Total Authors: 3
|
| Affiliation: | [1] Universidade de São Paulo (USP). Instituto de Física de São Carlos - Brasil
Total Affiliations: 3
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Biology; v. 47, n. 5, p. 453-456, Nov. 2003. |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics |
| Abstract | |
In an infinite population the frequency distribution of individuals carrying a given number of mutations obeys a set of recursion equations, the equilibrium solution of which describes the mutation-selection balance. Although this solution is well-known in the case of a multiplicative-fitness landscape, where it is assumed that all mutations are deleterious and that each new mutation reduces the fitness of the individual by the same fraction, we are not aware of the existence of an analytical solution for the full dynamics. Using the generating function approach, we present here an explicit analytical solution for the frequency distribution recursion equations valid for all generations and initial conditions. (AU) | |
| FAPESP's process: | 99/09644-9 - Theoretical Molecular Evolution |
| Grantee: | José Fernando Fontanari |
| Support Opportunities: | Research Projects - Thematic Grants |