Selection-mutation balance models with epistatic selection

Kondratiev Y, Kuna T, Ohlerich N (2008)
CONDENSED MATTER PHYSICS 11(2): 283-291.

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Konferenzbeitrag | Veröffentlicht | Englisch
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Abstract / Bemerkung
We present an application of birth-and-death processes on configuration spaces to a generalized mutation-selection balance model. The model describes the aging of population as a process of accumulation of mutations in a genotype. A rigorous treatment demands that mutations correspond to points in abstract spaces. Our model describes an infinite-population, infinite-sites model in continuum. The dynamical equation which describes the system, is of Kimura-Maruyama type. The problem can be posed in terms of evolution of states (differential equation) or, equivalently, represented in terms of Feynman-Kac formula. The questions of interest are the existence of a solution, its asymptotic behavior, and properties of the limiting state. In the non-epistatic case the problem was posed and solved in [Steinsaltz D., Evans S.N., Wachter K.W., Adv. Appl. Math., 2005, 35(1)]. In our model we consider a topological space X as the space of positions of mutations and the influence of an epistatic potential on these mutations.
Erscheinungsjahr
Band
11
Ausgabe
2
Seite(n)
283-291
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Kondratiev Y, Kuna T, Ohlerich N. Selection-mutation balance models with epistatic selection. CONDENSED MATTER PHYSICS. 2008;11(2):283-291.
Kondratiev, Y., Kuna, T., & Ohlerich, N. (2008). Selection-mutation balance models with epistatic selection. CONDENSED MATTER PHYSICS, 11(2), 283-291. doi:10.5488/CMP.11.2.283
Kondratiev, Y., Kuna, T., and Ohlerich, N. (2008). Selection-mutation balance models with epistatic selection. CONDENSED MATTER PHYSICS 11, 283-291.
Kondratiev, Y., Kuna, T., & Ohlerich, N., 2008. Selection-mutation balance models with epistatic selection. CONDENSED MATTER PHYSICS, 11(2), p 283-291.
Y. Kondratiev, T. Kuna, and N. Ohlerich, “Selection-mutation balance models with epistatic selection”, CONDENSED MATTER PHYSICS, vol. 11, 2008, pp. 283-291.
Kondratiev, Y., Kuna, T., Ohlerich, N.: Selection-mutation balance models with epistatic selection. CONDENSED MATTER PHYSICS. 11, 283-291 (2008).
Kondratiev, Yuri, Kuna, T., and Ohlerich, N. “Selection-mutation balance models with epistatic selection”. CONDENSED MATTER PHYSICS 11.2 (2008): 283-291.