The method of lines for the numerical solution of a mathematical model for capillary formation: The role of tumor angiogenic factor in the extra-cellular matrix

DOI10.1016/j.amc.2006.08.021zbMath1114.65109OpenAlexW2151999316MaRDI QIDQ876677

Serdal Pamuk, Arzu Erdem

Publication date: 26 April 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.08.021

zbMATH Keywords

numerical examplesmethod of linescapillary formationporousitytumor angiogenic factor

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Cell biology (92C37) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (3)

The method of lines for solution of the one-dimensional wave equation subject to an integral conservation condition ⋮ A generalization of the method of lines for the numerical solution of coupled, forced vibration of beams ⋮ Method of lines solutions of the parabolic inverse problem with an overspecification at a point

Uses Software

• Matlab

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
• On the validity and stability of the method of lines for the solution of partial differential equations
• A good spatial discretisation in the method of lines
• Steady-state analysis of a mathematical model for capillary network formation in the absence of tumor source
• MOL solvers for hyperbolic PDEs with source terms

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