RUS  ENG
Full version
JOURNALS // Dal'nevostochnyi Matematicheskii Zhurnal // Archive

Dal'nevost. Mat. Zh., 2016 Volume 16, Number 2, Pages 147–159 (Mi dvmg329)

This article is cited 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.

UDC: 517.958:57, 57:51-76, 57.02.001.57

MSC: Primary 92B99; Secondary 92C42, 97M60

Received: 17.10.2016



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025