Mathematical analysis of a non-local mixed ODE-PDE model for tumor invasion and chemotherapy

DOI10.1007/s10440-020-00340-yzbMath1462.35167OpenAlexW3036104122WikidataQ111492813 ScholiaQ111492813MaRDI QIDQ829574

Luís F. Salvino, Artur César Fassoni, Anderson Luis A. de Araujo

Publication date: 6 May 2021

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-020-00340-y

zbMATH Keywords

tumor growthexistence of solutionsacid-mediated tumor invasionnon-local diffusion coefficientsnonlinear mixed ODE-PDE system

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Medical applications (general) (92C50) Cell biology (92C37) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

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• Mathematical analysis and numerical simulations for a system modeling acid-mediated tumor cell invasion
• A comparison and catalog of intrinsic tumor growth models
• Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion
• A general reaction-diffusion model of acidity in cancer invasion
• A multiscale model for pH-tactic invasion with time-varying carrying capacities
• An analysis of a mathematical model describing acid‐mediated tumor invasion

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