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Matematicheskie Zametki, 2017, Volume 101, Issue 3, Pages 346–358
DOI: https://doi.org/10.4213/mzm11019 (Mi mzm11019) 		 
This article is cited in 4 scientific papers (total 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
Full-text PDF (485 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm11019
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.
Funding agency Grant number
Russian Foundation for Basic Research 15-01-01453-а
Received: 23.11.2015
Revised: 27.03.2016
English version:
Mathematical Notes, 2017, Volume 101, Issue 3, Pages 406–416
DOI: https://doi.org/10.1134/S0001434617030038
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: Ya. I. Belopol'skaya, “Probabilistic Models of the Dynamics of the Growth of Cells under Contact Inhibition”, Mat. Zametki, 101:3 (2017), 346–358; Math. Notes, 101:3 (2017), 406–416
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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