A nonlinear model of ionic wave propagation along microtubules
Abstract
Microtubules (MTs) are important cytoskeletal polymers engaged in a number of specific cellular activities including the traffic of organelles using motor proteins, cellular architecture and motility, cell division and a possible participation in information processing within neuronal functioning. How MTs operate and process electrical information is still largely unknown. In this paper we investigate the conditions enabling MTs to act as electrical transmission lines for ion flows along their lengths. We introduce a model in which each tubulin dimer is viewed as an electric element with a capacitive, inductive and resistive characteristics arising due to polyelectrolyte nature of MTs. Based on Kirchhoff's laws taken in the continuum limit, a nonlinear partial differential equation is derived and analyzed. We demonstrate that it can be used to describe the electrostatic potential coupled to the propagating localized ionic waves.
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The electrical resistance for a complete tubulin ring is R0 = 6.2 × 107 Ω.
“Estimating the electrical resistance for a complete tubulin ring gives R0 = 6.2 × 107 Ω [60,100].”
From An Overview of Sub-Cellular Mechanisms Involved in the Action of TTFields (2016) · cites this paper as [100]
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- Authors
- Satarić, M. V., Ilić, D. I., Ralević, N., & Tuszynski, J. A.
- Affiliations
- University of Novi Sad (RS)
- Corresponding author
- Ilić, D. I.
- Venue
- European Biophysics Journal
- Published
- 2009-03-04
- Volume
- 38
- Issue
- 5
- Pages
- 637-647
- ISSN
- 0175-7571 (ISSN-L)
- 1432-1017
- OpenAlex
- W2047085779
- Cited by
- 78
- References
- 22
- Citations by year
- 2026: 4 · 2025: 5 · 2024: 5 · 2023: 3 · 2022: 7 · 2021: 8 · 2020: 8 · 2019: 11 · 2018: 5 · 2017: 4 · 2016: 3 · 2015: 2 · 2014: 3 · 2013: 1 · 2012: 3
- FWCI
- 1.33
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- European Biophysics Journal (publishedVersion)
- PubMed (publishedVersion)
- Funders
- Alberta Cancer Foundation
- Allard Foundation
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Microtubule and mitosis dynamics
- Life Sciences › Agricultural and Biological Sciences › Plant Science › Plant and Biological Electrophysiology Studies
- Physical Sciences › Computer Science › Computer Networks and Communications › Nonlinear Dynamics and Pattern Formation
- Keywords
- microtubules, tubulin dimers, polyelectrolytes, electrical transmission lines, nonlinear partial differential equations, Kirchhoff's laws, electrostatic potential, ion flow, cytoskeleton
- MeSH terms
- Electric Conductivity, Microtubules, Models, Biological, Nonlinear Dynamics
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
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