• Open Access

Flow-driven control of pulse width in excitable media

Adrian Paul Misselwitz, Suzanne Lafon, Jean-Daniel Julien, and Karen Alim
Phys. Rev. E 107, 054218 – Published 23 May 2023

Abstract

Models of pulse formation in nerve conduction have provided manifold insight not only into neuronal dynamics but also the nonlinear dynamics of pulse formation in general. Recent observation of neuronal electrochemical pulses also driving mechanical deformation of the tubular neuronal wall, and thereby generating ensuing cytoplasmic flow, now question the impact of flow on the electrochemical dynamics of pulse formation. Here, we theoretically investigate the classical Fitzhugh-Nagumo model, now accounting for advective coupling between the pulse propagator typically describing membrane potential and triggering mechanical deformations, and thus governing flow magnitude, and the pulse controller, a chemical species advected with the ensuing fluid flow. Employing analytical calculations and numerical simulations, we find that advective coupling allows for a linear control of pulse width while leaving pulse velocity unchanged. We therefore uncover an independent control of pulse width by fluid flow coupling.

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  • Received 9 December 2022
  • Accepted 20 April 2023

DOI:https://doi.org/10.1103/PhysRevE.107.054218

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Nonlinear DynamicsPhysics of Living Systems

Authors & Affiliations

Adrian Paul Misselwitz1, Suzanne Lafon2,3, Jean-Daniel Julien3, and Karen Alim1,3,*

  • 1Center for Protein Assemblies (CPA) and Department of Bioscience, School of Natural Sciences, Technische Universität München, Garching b. München 85748, Germany
  • 2Paris-Saclay University, CNRS, Solid State Physics Laboratory, Orsay 91405, France
  • 3Max Planck Institute for Dynamics and Self-Organization, Göttingen 37077, Germany

  • *k.alim@tum.de

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Vol. 107, Iss. 5 — May 2023

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