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Dal'nevostochnyi Matematicheskii Zhurnal, 2016, Volume 16, Number 2, Pages 147–159
(Mi dvmg329)
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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
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.
Received: 17.10.2016
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
Linking options:
https://www.mathnet.ru/eng/dvmg329 https://www.mathnet.ru/eng/dvmg/v16/i2/p147
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Abstract page: | 356 | Full-text PDF : | 124 | References: | 58 |
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