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Pulsatile Driving Stabilizes Loops in Elastic Flow Networks

2022/10/12 by Purba Chatterjee, Chatterjee, Purba, Sean Fancher +2
Computer Science · Medicine · Neuroscience · #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced MRI Techniques and Applications #Biological Physics (physics.bio-ph) #FOS: Physical sciences #Genetic Neurodegenerative Diseases #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.2210.06557

openalex publication_date 2022/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Existing models of adaptation in biological flow networks consider their constituent vessels (e.g. veins and arteries) to be rigid, thus predicting a non physiological response when the drive (e.g. the heart) is dynamic. Here we show that incorporating pulsatile driving and properties such as fluid inertia and vessel compliance into a general adaptation framework fundamentally changes the expected structure at steady state of a minimal one-loop network. In particular, pulsatility is observed to give rise to resonances which can stabilize loops for a much broader class of metabolic cost functions than predicted by existing theories. Our work points to the need for a more realistic treatment of adaptation in biological flow networks, especially those driven by a pulsatile source, and provides insights into pathologies that emerge when such pulsatility is disrupted in human beings.

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