Biological transportation networks: Modeling and simulation

Giacomo Albi, Marco Artina, Massimo Foransier, Peter A. Markowich

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

We present a model for biological network formation originally introduced by Cai and Hu [Adaptation and optimization of biological transport networks, Phys. Rev. Lett. 111 (2013) 138701]. The modeling of fluid transportation (e.g., leaf venation and angiogenesis) and ion transportation networks (e.g., neural networks) is explained in detail and basic analytical features like the gradient flow structure of the fluid transportation network model and the impact of the model parameters on the geometry and topology of network formation are analyzed. We also present a numerical finite-element based discretization scheme and discuss sample cases of network formation simulations.
Original languageEnglish (US)
Pages (from-to)185-206
Number of pages22
JournalAnalysis and Applications
Volume14
Issue number01
DOIs
StatePublished - Sep 15 2015

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