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Clone-selection and optimal rates of mutation
- Source :
- Journal of Applied Probability. 10:728-738
- Publication Year :
- 1973
- Publisher :
- Cambridge University Press (CUP), 1973.
-
Abstract
- The paper employs methods of multitype branching processes to evaluate the probability of survival of mutable clones under environmental conditions which are unfavorable to the original parent of the clone. When other factors are taken to be constant, the long-term survival probability of a clone is implicitly demonstrated as a function of the intrinsic rate of mutation carried by this clone. The existence of a mutation rate which maximizes clone survival probability is shown and the effects of environmental deterioration on this optimal rate are studied. Finally, rigorous quantitative results are obtained for the classical situation of a Poisson distribution of offspring numbers. These results are then applied to the biological problem of indirect selection (Eshel (1972)).
- Subjects :
- Statistics and Probability
Mutation rate
General Mathematics
010102 general mathematics
Clone (cell biology)
Function (mathematics)
Poisson distribution
01 natural sciences
symbols.namesake
010104 statistics & probability
Biological Problem
Statistics
Mutation (genetic algorithm)
symbols
0101 mathematics
Statistics, Probability and Uncertainty
Constant (mathematics)
Selection (genetic algorithm)
Mathematics
Subjects
Details
- ISSN :
- 14756072 and 00219002
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Journal of Applied Probability
- Accession number :
- edsair.doi.dedup.....7a1b8e03ba2ee8a3337aac02dfed4e16