A gradient-driven mathematical model of antiangiogenesis

DOI10.1016/S0895-7177(00)00196-5zbMath0962.92018OpenAlexW2057662014MaRDI QIDQ5927950

Mark A. J. Chaplain, Carlos A. Vargas, Alexander R. A. Anderson, C. García-Reimbert

Publication date: 25 March 2001

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(00)00196-5

zbMATH Keywords

angiostatinantiangiogenesischemotaxisendothelial cellstumour angiogenic factor

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Cell biology (92C37)

Related Items (8)

Numerical simulation of the inhibitory effect of angiostatin on metastatic tumor angiogenesis and microenvironment ⋮ A topology Nash game for tumoral antiangiogenesis ⋮ Numerical analysis of tumor model in steady state ⋮ Global existence for a mathematical model of the immune response to cancer ⋮ Computational modeling of tumor-induced angiogenesis ⋮ Existence and uniqueness of global solutions for a mathematical model of antiangiogenesis in tumor growth ⋮ Numerical simulation of solid tumor angiogenesis with Endostatin treatment: a combined analysis of inhibiting effect of anti-angiogenic factor and micro mechanical environment of extracellular matrix ⋮ A novel numerical and artificial intelligence based approach to study anti-angiogenic drugs: endostatin

Cites Work

• A mathematical model for capillary network formation in the absence of endothelial cell proliferation
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Avascular growth, angiogenesis and vascular growth in solid tumours: The mathematical modelling of the stages of tumour development
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