Ionic wave propagation along actin filaments
Open accessAbstract
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].”
From An Overview of Sub-Cellular Mechanisms Involved in the Action of TTFields (2016) · cites this paper as [112]
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Research works printed but not linked: 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)
- PMC
- PMC1304047
- 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
- bronze
- doi.org
- Licence
- 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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