Numerical simulation of tumor-induced angiogenesis influenced by the extra-cellular matrix mechanical environment

DOI10.1007/s10409-009-0301-3zbMath1269.74152OpenAlexW1539464428MaRDI QIDQ358734

Yan Cai, Kalkabay Gulnar, Jin-Feng Cao, Quan Long, Hong-yi Zhang, Shi-xiong Xu

Publication date: 9 August 2013

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10409-009-0301-3

zbMATH Keywords

tumor-induced angiogenesis2D mathematical modelmechanical environment

Mathematics Subject Classification ID

Biomechanics (92C10) Biomechanical solid mechanics (74L15) Physiological flows (76Z05) Physiological flow (92C35)

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A hybrid cellular automata model of multicellular tumour spheroid growth in hypoxic microenvironment ⋮ Numerical simulation of inhibiting effects on solid tumour cells in anti-angiogenic therapy: application of coupled mathematical model of angiogenesis with tumour growth ⋮ A Hybrid Model to Test the Importance of Mechanical Cues Driving Cell Migration in Angiogenesis

Cites Work

• Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
• Numerical simulation of blood flow and interstitial fluid pressure in solid tumor microcirculation based on tumor-induced angiogenesis
• Cell traction models for generating pattern and form in morphogenesis
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• Mathematical modeling of tumor-induced angiogenesis
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