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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 147–159 (Mi dvmg329)  

This article is cited in 1 scientific paper (total in 1 paper)

On applicability of category theory to the description of ontogeny events

A. I. Gudimenkoab, M. A. Guzeva, Yu. N. Zhuravlevc

a Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
c Institute of Biology and Soil Science, Far East Branch, Russian Academy of Sciences, Vladivostok
Full-text PDF (496 kB) Citations (1)
References:
Abstract: The possibility of application of the category-theoretical formalism to the description of the fundamental molecular events of ontogeny (transcription, translation and the protein combination formation) is studied. It is shown that a correspondence between these events and the well-known category operations, pull-back and push-out, can be established. The naturalness of application of the geometrical idea of fibration to the analyses of these events is demonstrated.
Key words: ontogeny, biological objects, mathematical modelling, category theory, fiber bundles.
Funding agency Grant number
Far Eastern Branch of the Russian Academy of Sciences 15-I-4-041
Received: 17.10.2016
Bibliographic databases:
Document Type: Article
UDC: 517.958:57, 57:51-76, 57.02.001.57
MSC: Primary 92B99; Secondary 92C42, 97M60
Language: Russian
Citation: A. I. Gudimenko, M. A. Guzev, Yu. N. Zhuravlev, “On applicability of category theory to the description of ontogeny events”, Dal'nevost. Mat. Zh., 16:2 (2016), 147–159
Citation in format AMSBIB
\Bibitem{GudGuzZhu16}
\by A.~I.~Gudimenko, M.~A.~Guzev, Yu.~N.~Zhuravlev
\paper On applicability of category theory to the description of ontogeny events
\jour Dal'nevost. Mat. Zh.
\yr 2016
\vol 16
\issue 2
\pages 147--159
\mathnet{http://mi.mathnet.ru/dvmg329}
\elib{https://elibrary.ru/item.asp?id=27700999}
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  • https://www.mathnet.ru/eng/dvmg/v16/i2/p147
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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