Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/27928
Título: | Dynamics of escape mutants |
Autor(es): | Serra, Maria Conceição Haccou, Patsy |
Palavras-chave: | Multi-type Galton–Watson branching process Probability generating function Mutation Escape and extinction probability |
Data: | 2007 |
Editora: | Elsevier 1 |
Revista: | Theoretical Population Biology |
Resumo(s): | We use multi-type Galton-Watson branching processes to model the evolution of populations that, due to a small reproductive ratio of the individuals, are doomed to extinction. Yet, mutations occurring during the reproduction process, may lead to the appearance of new types of individuals that are able to escape extinction. We provide examples of such populations in medical, biological and environmental contexts and give results on (i) the probability of escape/extinction, (ii) the distribution of the waiting time to produce the first individual whose lineage does not get extinct and (iii) the distribution of the time it takes for the number of mutants to reach a high level. Special attention is dedicated to the case where the probability of mutation is very small and approximations for (i)-(iii) are derived. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/27928 |
DOI: | 10.1016/j.tpb.2007.01.005 |
ISSN: | 0040-5809 |
Arbitragem científica: | yes |
Acesso: | Acesso restrito UMinho |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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mcserra_haccou_revised.pdf Acesso restrito! | 308,42 kB | Adobe PDF | Ver/Abrir |