Probabilistic models of the dynamics of the growth of cells under contact inhibition

DOI10.1134/S0001434617030038zbMath1398.35303OpenAlexW2609670993MaRDI QIDQ2364542

Yana I. Belopolskaya

Publication date: 21 July 2017

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434617030038

zbMATH Keywords

diffusion processstochastic flowsystem of nonlinear parabolic equationsgeneralized solution of the Cauchy problem

Mathematics Subject Classification ID

PDEs with randomness, stochastic partial differential equations (35R60) Cell biology (92C37) Weak solutions to PDEs (35D30) Initial value problems for second-order parabolic systems (35K45) Applications of Brownian motions and diffusion theory (population genetics, absorption problems, etc.) (60J70) Quasilinear parabolic equations (35K59)

Related Items (2)

Stochastic interpretation of the MHD-Burgers system ⋮ Probabilistic interpretation of the vanishing viscosity method for systems of conservation and balance laws

Cites Work

• Unnamed Item
• Generalized solutions of nonlinear parabolic equations and diffusion processes
• Stochastic flows acting on Schwartz distributions
• Generalized solutions of a stochastic partial differential equation
• A free boundary problem arising in a simplified tumour growth model of contact inhibition

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