On spatial mutation-selection models
Kondratiev Y, Kutoviy O, Minlos R, Pirogov S (2013)
Journal Of Mathematical Physics 54(11): 113504.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Autor*in
Kondratiev, YuriUniBi;
Kutoviy, Oleksandr;
Minlos, Robert;
Pirogov, Sergey
Einrichtung
Abstract / Bemerkung
We discuss the selection procedure in the framework of mutation models. We study the regulation for stochastically developing systems based on a transformation of the initial Markov process which includes a cost functional. The transformation of initial Markov process by cost functional has an analytic realization in terms of a Kimura-Maruyama type equation for the time evolution of states or in terms of the corresponding Feynman-Kac formula on the path space. The state evolution of the system including the limiting behavior is studied for two types of mutation-selection models. (C) 2013 AIP Publishing LLC.
Erscheinungsjahr
2013
Zeitschriftentitel
Journal Of Mathematical Physics
Band
54
Ausgabe
11
Art.-Nr.
113504
ISSN
0022-2488
Page URI
https://pub.uni-bielefeld.de/record/2645324
Zitieren
Kondratiev Y, Kutoviy O, Minlos R, Pirogov S. On spatial mutation-selection models. Journal Of Mathematical Physics. 2013;54(11): 113504.
Kondratiev, Y., Kutoviy, O., Minlos, R., & Pirogov, S. (2013). On spatial mutation-selection models. Journal Of Mathematical Physics, 54(11), 113504. doi:10.1063/1.4828856
Kondratiev, Yuri, Kutoviy, Oleksandr, Minlos, Robert, and Pirogov, Sergey. 2013. “On spatial mutation-selection models”. Journal Of Mathematical Physics 54 (11): 113504.
Kondratiev, Y., Kutoviy, O., Minlos, R., and Pirogov, S. (2013). On spatial mutation-selection models. Journal Of Mathematical Physics 54:113504.
Kondratiev, Y., et al., 2013. On spatial mutation-selection models. Journal Of Mathematical Physics, 54(11): 113504.
Y. Kondratiev, et al., “On spatial mutation-selection models”, Journal Of Mathematical Physics, vol. 54, 2013, : 113504.
Kondratiev, Y., Kutoviy, O., Minlos, R., Pirogov, S.: On spatial mutation-selection models. Journal Of Mathematical Physics. 54, : 113504 (2013).
Kondratiev, Yuri, Kutoviy, Oleksandr, Minlos, Robert, and Pirogov, Sergey. “On spatial mutation-selection models”. Journal Of Mathematical Physics 54.11 (2013): 113504.
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