Cited by 163Ion channel regulation and functionNonlinear Dynamics and Pattern FormationNonlinear Waves and Solitons

Ionic wave propagation along actin filaments

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Tuszyński, J.A., Portet, S., Dixon, J.M., Luxford, C., Cantiello, H.F.·2004·Biophysical Journal

Abstract

We investigate the conditions enabling actin filaments to act as electrical transmission lines for ion flows along their lengths. We propose a model in which each actin monomer is an electric element with a capacitive, inductive, and resistive property due to the molecular structure of the actin filament and viscosity of the solution. Based on Kirchhoff's laws taken in the continuum limit, a nonlinear partial differential equation is derived for the propagation of ionic waves. We solve this equation in two different regimes. In the first, the maximum propagation velocity wave is found in terms of Jacobi elliptic functions. In the general case, we analyze the equation in terms of Fisher-Kolmogoroff modes with both localized and extended wave characteristics. We propose a new signaling mechanism in the cell, especially in neurons.

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  • Solitary ionic waves have been described as solutions of the nonlinear partial differential equation with an estimated velocity of propagation between 1 and 100 m/s.

    “Solitary ionic waves have been described as the solutions of the above nonlinear partial differential equation [112] with an estimated velocity of propagation between 1 and 100 m/s [72].”

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Research works printed but not linked: 1

  1. Lader, A., H. Woodward, E. Lin, and H. Cantiello. 2000. Modeling of ionic waves along actin filaments by discrete electrical transmission lines. METMBS '00 International Conference. 77-82.

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Authors
Tuszyński, J. A., Portet, S., Dixon, J. M., Luxford, C., & Cantiello, H. F.
Affiliations
  • University of Alberta (CA)
  • Harvard University (US)
Corresponding author
Tuszyński, J.A.
Venue
Biophysical Journal
Publisher
Elsevier BV
Published
2004-04
Volume
86
Issue
4
Pages
1890-1903
ISSN
0006-3495 (ISSN-L)
OpenAlex
W1975643213
Cited by
163
References
56
Citations by year
2026: 3 · 2025: 6 · 2024: 8 · 2023: 27 · 2022: 11 · 2021: 6 · 2020: 10 · 2019: 12 · 2018: 7 · 2017: 8 · 2016: 10 · 2015: 8 · 2014: 4 · 2013: 2 · 2012: 5
FWCI
1.31
Type
journal article
Language
en
Open access
Locations
  • Biophysical Journal (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
Funders
  • University of Alberta
  • Mitacs
Topics
  • Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Ion channel regulation and function
  • Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Nonlinear Waves and Solitons
Keywords
F-actin, electrical transmission lines, Kirchhoff's laws, nonlinear partial differential equations, Jacobi elliptic functions, Fisher-Kolmogorov equation, traveling waves, signal transduction, neurons
MeSH terms
Actins, Actin Cytoskeleton, Models, Theoretical, Ion Transport

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