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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2017 Volume 101, Issue 3, Pages 346–358 (Mi mzm11019)

This article is cited in 4 papers

Probabilistic Models of the Dynamics of the Growth of Cells under Contact Inhibition

Ya. I. Belopol'skaya

St. Petersburg State University of Architecture and Civil Engineering

Abstract: We construct a probabilistic representation for the generalized solution of the Cauchy problem for the system of strongly coupled nonlinear parabolic equations describing the growth of cells under contact inhibition.

Keywords: stochastic flow, diffusion process, system of nonlinear parabolic equations, generalized solution of the Cauchy problem.

UDC: 519.21

Received: 23.11.2015
Revised: 27.03.2016

DOI: 10.4213/mzm11019


 English version:
Mathematical Notes, 2017, 101:3, 406–416

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© Steklov Math. Inst. of RAS, 2025