Finite difference method for capillary formation model in tumor angiogenesis

DOI10.22124/jmm.2020.15830.1386zbMath1474.92003OpenAlexW3012984093MaRDI QIDQ5855691

Amin Shahkarami, Bahman Ghazanfri

Publication date: 19 March 2021

Full work available at URL: https://jmm.guilan.ac.ir/article_3968_a1105542a2acbaa36dcac601fded25b9.pdf

zbMATH Keywords

stability analysisfinite difference methodparabolic partial differential equationstumor angiogenesis

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Cell biology (92C37) Finite difference methods for boundary value problems involving PDEs (65N06) Computational methods for problems pertaining to biology (92-08)

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Cites Work

• The method of lines for the numerical solution of a mathematical model for capillary formation: The role of endothelial cells in the capillary
• Mathematical modeling of capillary formation and development in tumor angiogenesis: penetration into the stroma
• Numerical analysis of a mathematical model for capillary formation in tumor angiogenesis using a meshfree method based on the radial basis function
• Iterative operator splitting method for capillary formation model in tumor angiogenesis problem: Analysis and application
• Numerical solution of a mathematical model for capillary formation in tumor angiogenesis via the tau method

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