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JOURNALS // Prikladnaya Diskretnaya Matematika // Archive

Prikl. Diskr. Mat., 2013 Number 4(22), Pages 103–113 (Mi pdm435)

This article is cited in 3 papers

Discrete Models for Real Processes

Modelling the tissue growth with the possibility of external influence on tissue shape

M. N. Nazarov

National Research University of Electronic Technology, Moscow, Russia

Abstract: The imitation model of morphogenesis is constructed; its formalism includes the external influence on the shape of cell clusters in the form of the stream of signalling molecules across the border of these clusters. This model uses only the universal parameters, which are guaranteed to have biological meaning, as well as the possibility of the use in the models of morphogenesis based on differential equations.

Keywords: multicellular organisms, morphogenesis, discrete models, controllable tissue formation.

UDC: 519.710.22



© Steklov Math. Inst. of RAS, 2026