Pattern formation of vascular network in a mathematical model of angiogenesis

DOI10.1007/S13160-021-00493-9zbMath1481.92019arXiv2106.06737OpenAlexW3215699660MaRDI QIDQ2070157

Jun Mada, Tetsuji Tokihiro

Publication date: 21 January 2022

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.06737

zbMATH Keywords

angiogenesismultifractal analysisreconnectionmathemtical model

Mathematics Subject Classification ID

Developmental biology, pattern formation (92C15) Fractals (28A80) Physiological flow (92C35)

Cites Work

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• A cell-based model of extracellular-matrix-guided endothelial cell migration during angiogenesis
• Continuous and discrete mathematical models of tumor-induced angiogenesis
• Multifractal methodology
• A Discrete Mathematical Model for Angiogenesis
• Multiscale Developments of the Cellular Potts Model
• Fractal measures and their singularities: The characterization of strange sets

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