Computational Models of Sprouting Angiogenesis and Cell Migration: Towards Multiscale Mechanochemical Models of Angiogenesis

DOI10.1051/mmnp/201510106zbMath1325.92009OpenAlexW1976904080MaRDI QIDQ5247603

Hans Van Oosterwyck, T. A. M. Heck, M. M. Vaeyens

Publication date: 24 April 2015

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://www.mmnp-journal.org/10.1051/mmnp/201510106/pdf

zbMATH Keywords

angiogenesiscomputational modelscell migrationcell mechanicsmolecular signaling

Mathematics Subject Classification ID

Cell biology (92C37) Computational methods for problems pertaining to biology (92-08) Cell movement (chemotaxis, etc.) (92C17)

Related Items (15)

Integrodifference master equation describing actively growing blood vessels in angiogenesis ⋮ Using a meshless method to assess the effect of mechanical loading in angiogenesis ⋮ Comparative analysis of continuum angiogenesis models ⋮ The statistical theory of the angiogenesis equations ⋮ Bridging scales: a hybrid model to simulate vascular tumor growth and treatment response ⋮ Hybrid Modelling in Biology: a Classification Review ⋮ An image-informed Cahn-Hilliard Keller-Segel multiphase field model for tumor growth with angiogenesis ⋮ A convergent numerical scheme for integrodifferential kinetic models of angiogenesis ⋮ Constructing solutions for a kinetic model of angiogenesis in annular domains ⋮ Unnamed Item ⋮ Mathematical models for chemotaxis and their applications in self-organisation phenomena ⋮ Hybrid Modelling in Cell Biology ⋮ Two dimensional soliton in tumor induced angiogenesis ⋮ Positivity preserving high order schemes for angiogenesis models ⋮ A Method to Coarse-Grain MultiAgent Stochastic Systems with Regions of Multistability

Uses Software

• Cytopede

Cites Work

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