Numerical simulation of blood flow and interstitial fluid pressure in solid tumor microcirculation based on tumor-induced angiogenesis

DOI10.1007/s10409-007-0098-xzbMath1202.76170OpenAlexW2086003099MaRDI QIDQ612435

M. W. Collins, Gai-ping Zhao, Shi-xiong Xu, Jie Wu, Quan Long

Publication date: 28 December 2010

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

Full work available at URL: https://doi.org/10.1007/s10409-007-0098-x

zbMATH Keywords

angiogenesisnumerical simulationblood flowsolid tumorinterstitial pressure

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Physiological flows (76Z05) Physiological flow (92C35)

Related Items (5)

On computational modeling in tumor growth ⋮ Numerical simulation of tumor-induced angiogenesis influenced by the extra-cellular matrix mechanical environment ⋮ Three-dimensional multispecies nonlinear tumor growth. II: Tumor invasion and angiogenesis ⋮ A review of mathematical models for the formation of vascular networks ⋮ Interstitial hydraulic conductivity and interstitial fluid pressure for avascular or poorly vascularized tumors

Cites Work

• Mathematical modelling of flow through vascular networks: implications for tumour-induced angiogenesis and chemotherapy strategies
• Nonlinear simulation of tumor necrosis, neo-vascularization and tissue invasion via an adaptive finite-element/level-set method
• Mathematical modelling of flow in 2D and 3D vascular networks: Applications to anti-angio\-genic and chemotherapeutic drug strategies
• A mathematical model for capillary network formation in the absence of endothelial cell proliferation
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Mathematical modelling of the influence of blood rheological properties upon adaptative tu\-mour-induced angiogenesis

This page was built for publication: Numerical simulation of blood flow and interstitial fluid pressure in solid tumor microcirculation based on tumor-induced angiogenesis