4.3 Article

A generalized model of mutation-selection balance with applications to aging

Journal

ADVANCES IN APPLIED MATHEMATICS
Volume 35, Issue 1, Pages 16-33

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aam.2004.09.003

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A probability model is presented for the dynamics of mutation-selection balance in a haploid infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age-specific demographic schedules. The model accommodates epistatic as well as additive selective costs. Closed form characterizations are obtained for solutions in finite time, along with proofs of convergence to stationary distributions and a proof of the uniqueness of solutions in a restricted case. Examples are given of applications to the biodemography of aging. (c) 2004 Elsevier Inc. All rights reserved.

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