Distribution networks achieve uniform perfusion through geometric self-organization
Biological Physics
2021-09-06 v2 Adaptation and Self-Organizing Systems
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.
Cite
@article{arxiv.2009.04375,
title = {Distribution networks achieve uniform perfusion through geometric self-organization},
author = {Tatyana Gavrilchenko and Eleni Katifori},
journal= {arXiv preprint arXiv:2009.04375},
year = {2021}
}
Comments
6 pages, 4 figures