Computational solution of an acid-mediated tumor-growth radial model under logistic growth regimes for normal and cancer cells

DOI10.1142/s179352452250084xzbMath1519.92042MaRDI QIDQ6174904

Jorge Eduardo Macías-Díaz, Safar M. Alghamdi, Mudassar Abbas, Muhammad Bilal Khan, Farhan Khan

Publication date: 15 July 2023

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

computer simulationscancer growth modelradially symmetric systemacid-mediated tumor growth

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Linear ordinary differential equations and systems (34A30) Cell biology (92C37) Pathology, pathophysiology (92C32)

Cites Work

• Mathematical analysis and numerical simulations for a system modeling acid-mediated tumor cell invasion
• Nonlinear stability of a heterogeneous state in a PDE-ODE model for acid-mediated tumor invasion
• A structure-preserving computational method in the simulation of the dynamics of cancer growth with radiotherapy
• Conciliating efficiency and dynamical consistency in the simulation of the effects of proliferation and motility of transforming growth factor \(\beta\) on cancer cells
• A model for acid-mediated tumour growth with nonlinear acid production term
• A general reaction-diffusion model of acidity in cancer invasion
• A finite-difference scheme in the computational modelling of a coupled substrate-biomass system
• A positive finite-difference model in the computational simulation of complex biological film models
• Existence and uniqueness of monotone and bounded solutions for a finite-difference discretization à la Mickens of the generalized Burgers–Huxley equation
• An analysis of a mathematical model describing acid‐mediated tumor invasion

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