Integrodifference master equation describing actively growing blood vessels in angiogenesis

DOI10.1515/ijnsns-2019-0094OpenAlexW3100709574MaRDI QIDQ823736

Luis L. Bonilla, Manuel Carretero, Filippo Terragni

Publication date: 16 December 2021

Published in: International Journal of Nonlinear Sciences and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.00939

zbMATH Keywords

branching processmaster equationreinforced random walkangiogenesis classificationhistory-dependent Killing process

Mathematics Subject Classification ID

Biology and other natural sciences (92-XX) Probability theory and stochastic processes (60-XX)

Cites Work

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• Multiscale modelling and nonlinear simulation of vascular tumour growth
• Mathematical modelling of the influence of blood rheological properties upon adaptative tu\-mour-induced angiogenesis
• A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
• Computational Models of Sprouting Angiogenesis and Cell Migration: Towards Multiscale Mechanochemical Models of Angiogenesis

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