Infection spreading in cell culture as a reaction-diffusion wave

DOI10.1051/m2an/2022019zbMath1492.35373OpenAlexW4224903013WikidataQ115927304 ScholiaQ115927304MaRDI QIDQ5074256

Georges Sadaka, Latifa Ait Mahiout, Bogdan Kaźmierczak, Nikolai Bessonov, Vitaly A. Volpert

Publication date: 9 May 2022

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/m2an/2022019

zbMATH Keywords

time delayreaction-diffusion equationsviral infectioncell culture

Mathematics Subject Classification ID

Epidemiology (92D30) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Cell biology (92C37) Computational methods for problems pertaining to biology (92-08) Methods of ordinary differential equations applied to PDEs (35A24) Initial-boundary value problems for second-order parabolic systems (35K51) PDEs on time scales (35R07)

Related Items (4)

Virus replication and competition in a cell culture: application to the SARS-CoV-2 variants ⋮ Inflammation propagation modeled as a reaction-diffusion wave ⋮ The influence of immune response on spreading of viral infection ⋮ Mathematical modeling of respiratory viral infection and applications to SARS‐CoV‐2 progression

Uses Software

• FreeFem++

Cites Work

• Formally adjoint problems and solvability conditions for elliptic operators
• Interplay between reaction and diffusion processes in governing the dynamics of virus infections
• Traveling waves in delayed reaction-diffusion equations in biology
• Mathematical Immunology of Virus Infections
• Elliptic Partial Differential Equations
• Elliptic Partial Differential Equations

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