Nonlinear behaviors of capillary formation in a deterministic angiogenesis model

DOI10.1016/j.na.2005.01.066zbMath1222.92018OpenAlexW2102739807MaRDI QIDQ1000035

Shuyu Sun, Charles jun. Patrick, Mary Fanett Wheeler, Mandri N. Obeyesekere

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.01.066

zbMATH Keywords

growth factorscapillary networks

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Dynamical systems in biology (37N25) Medical applications (general) (92C50) Developmental biology, pattern formation (92C15)

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Cites Work

• Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
• A deterministic model of growth factor-induced angiogenesis
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
• Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry