2-adic morphogenesis as a metaphorical model of biological growth

The article proposes a mathematical model of morphogenesis which is based on 2-adic arithmetic. In this model, the process of morphogenesis is separated from its genetic coding and genetic control, and is considered abstractly as a transformation of complex biomorphic structures resulting from the p...

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Bibliographic Details
Published in:BioSystems 2022-02, Vol.212, p.104594-104594, Article 104594
Main Author: Ignatov, Victor V.
Format: Article
Language:English
Subjects:
Fractal geometry
Hayflick limit
Morphogenesis
p-adic morphology
p-adic numbers
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Summary:The article proposes a mathematical model of morphogenesis which is based on 2-adic arithmetic. In this model, the process of morphogenesis is separated from its genetic coding and genetic control, and is considered abstractly as a transformation of complex biomorphic structures resulting from the process of sequential geometric cell division. The concept of cellular structure is introduced and the analogies that exist between the transformation of organisms and the transformation of the corresponding cellular structures generated by numerical series are considered, in particular, an analogy is drawn between the transformation of series depending on a complex parameter and the growth of biological organisms. The article also introduces some mathematical formalism used to compare different morphological pathways.
ISSN:0303-2647
1872-8324
DOI:10.1016/j.biosystems.2021.104594