Passing to the limit 2D–1D in a model for metastatic growth

DOI10.1080/17513758.2011.568071zbMath1448.92059OpenAlexW2008275646WikidataQ44803063 ScholiaQ44803063MaRDI QIDQ3304441

Sébastien Benzekry

Publication date: 3 August 2020

Published in: Journal of Biological Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17513758.2011.568071

zbMATH Keywords

angiogenesiscancer modellingstructured population dynamics

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Pathology, pathophysiology (92C32)

Cites Work

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• Mathematical and numerical analysis for a model of growing metastatic tumors
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• A model describing the growth and the size distribution of multiple metastatic tumors
• A pharmacologically based multiscale mathematical model of angiogenesis and its use in investigating the efficacy of a new cancer treatment strategy
• Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
• Mathematical and numerical analysis of a model for anti-angiogenic therapy in metastatic cancers

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