AN EXPLICIT SUBPARAMETRIC SPECTRAL ELEMENT METHOD OF LINES APPLIED TO A TUMOUR ANGIOGENESIS SYSTEM OF PARTIAL DIFFERENTIAL EQUATIONS

DOI10.1142/S0218202504003155zbMath1043.92017OpenAlexW2016353498MaRDI QIDQ3043605

Mark A. J. Chaplain, José Valenciano

Publication date: 6 August 2004

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202504003155

zbMATH Keywords

stiff ODEstumour angiogenesisSpectral element method of lines

Mathematics Subject Classification ID

Related Items (8)

Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999) ⋮ Mathematical modelling of the influence of blood rheological properties upon adaptative tu\-mour-induced angiogenesis ⋮ On the mathematical kinetic theory of active particles with discrete states: The derivation of macroscopic equations ⋮ MATHEMATICAL TOPICS ON THE MODELLING COMPLEX MULTICELLULAR SYSTEMS AND TUMOR IMMUNE CELLS COMPETITION ⋮ An efficient implicit spectral element method for time-dependent nonlinear diffusion equations by evaluating integrals at one quadrature point ⋮ Robust numerical methods for taxis-diffusion-reaction systems: applications to biomedical problems ⋮ Computational modeling of tumor-induced angiogenesis ⋮ A Laguerre\,-\,Legendre spectral\,-\,element method for the solution of partial differential equations on infinite domains: Application to the diffusion of tumour angiogenesis factors

Cites Work

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• The spectral element method for the shallow water equations on the sphere
• An isoparametric spectral element method for solution of the Navier-Stokes equations in complex geometry
• A spectral element basin model for the shallow water equations
• Transfinite element methods: Blending-function interpolation over arbitrary curved element domains
• COMPUTING HIGHLY ACCURATE SOLUTIONS OF A TUMOUR ANGIOGENESIS MODEL

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