Distribution networks achieve uniform perfusion through geometric self-organization

Tatyana Gavrilchenko; Eleni Katifori

doi:10.1103/physrevlett.127.078101

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arXiv · 2009.04375

Distribution networks achieve uniform perfusion through geometric self-organization

Tatyana Gavrilchenko·Eleni Katifori

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Abstract

A generic flow distribution network typically does not deliver its load at a uniform rate across a service area, instead oversupplying regions near the nutrient source while leaving downstream regions undersupplied. In this work we demonstrate how a local adaptive rule coupling tissue growth with nutrient density results in a flow network that self-organizes to deliver nutrients uniformly. This geometric adaptive rule can be generalized and imported to mechanics-based adaptive models to address the effects spatial gradients in nutrients or growth factors in tissues.

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Tatyana Gavrilchenko, Eleni Katifori. 2020-09-09. Distribution networks achieve uniform perfusion through geometric self-organization. https://doi.org/10.1103/physrevlett.127.078101

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