Mechanical surface waves accompany action potential propagation
Open accessAbstract
Many diverse studies have shown that a mechanical displacement of the axonal membrane accompanies the electrical pulse defining the action potential (AP). We present a model for these mechanical displacements as arising from the driving of surface wave modes in which potential energy is stored in elastic properties of the neuronal membrane and cytoskeleton while kinetic energy is carried by the axoplasmic fluid. In our model, these surface waves are driven by the travelling wave of electrical depolarization characterizing the AP, altering compressive electrostatic forces across the membrane. This driving leads to co-propagating mechanical displacements, which we term Action Waves (AWs). Our model allows us to estimate the shape of the AW that accompanies any travelling wave of voltage, making predictions that are in agreement with results from several experimental systems. Our model can serve as a framework for understanding the physical origins and possible functional roles of these AWs. Action potentials in neurons are accompanied by a mechanical displacement of the axonal membrane. Here, the authors present a model to describe these as surface waves which are driven by changes in charge separation, and compare their model to published experimental results from squid giant axons and garfish olfactory nerve bundles.
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Neuronal activation is accompanied by transient swelling of neurons, dendritic spines, and axons, as well as cytoskeletal rearrangements, together with extracellular-space modulation driven by depolarization, ion fluxes, and osmotic shifts.
“Neuronal activation is accompanied by transient swelling of neurons, dendritic spines, and axons, as well as cytoskeletal rearrangements (Andrew & MacVicar, 1994; Cohen et al., 1968; El Hady & Machta, 2015; Iwasa & Tasaki, 1980; Iwasa et al., 1980; Kim et al., 2007; MacVicar & Hochman, 1991; Tasaki, 1999; Tasaki & Byrne, 1990), together with extracellular-space modulation driven by depolarization,”
From 40 Years of diffusion MRI in the brain: From history to emerging frontiers (2026) · cites this paper as El Hady & Machta, 2015
The Figure 2 description (Methods; page not available) says the model predicts swelling of an axonal membrane during depolarization, followed by rapid relaxation. The cited paper does not establish transient swelling of dendritic spines or activation-related cytoskeletal rearrangements. This citation appears before the separate extracellular-space clause, so that clause is not part of the attribution assessed here. (LLM, conf=0.86)
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Research works printed but not linked: 9
- Heimburg, T. & Jackson, A. D. On soliton propagation in biomembranes and nerves. Proc. Natl Acad. Sci. USA 102, 9790-9795 (2005).
- Griesbauer, J., Bo ¨ssinger, S., Wixforth, A. & Schneider, M. F. Propagation of 2d pressure pulses in lipid monolayers and its possible implications for biology. Phys. Rev. Lett. 108, 198103 (2012).
- Howarth, J. V., Ritchie, J. M. & Stagg, D. The initial heat production in garfish olfactory nerve fibres. Proc. R. Soc. Lond. B Biol. Sci. 205, 347-367 (1979).
- Brown, A. Lasek R in Squid as Experimental Animals (eds Gilbert, D., Adelman, WilliamJ, J. & Arnold, J.) 235-302 (Springer, 1990).
- Shrivastava, S. & Schneider, M. F. Opto-mechanical coupling in interfaces under static and propagative conditions and its biological implications. PLoS ONE 8, e67524 (2013).
- Reichenbach, T. & Hudspeth, A. J. The physics of hearing: fluid mechanics and the active process of the inner ear. Rep. Prog. Phys. 77, 076601 (2014).
- Blicher, A. & Heimburg, T. Voltage-gated lipid ion channels. PLoS ONE 8, e65707 (2013).
- Anishkin, A., Loukin, S. H., Teng, J. & Kung, C. Feeling the hidden mechanical forces in lipid bilayer is an original sense. Proc. Natl Acad. Sci. USA 111, 7898-7905 (2014).
- Mueller, J. K. & Tyler, W. J. A quantitative overview of biophysical forces impinging on neural function. Phys. Biol. 11, 051001 (2014).
Cited by
Sorted by citations
Petrini, G., Moreva, E., Bernardi, E., Traina, P., Tomagra, G., Carabelli, V., Degiovanni, I. P., & Genovese, M. (2020) · Advanced Quantum Technologies · doi:10.1002/qute.202000066 · Cited by 63 · see citing works
40 Years of diffusion MRI in the brain: From history to emerging frontiers
Le Bihan, D. (2026) · Imaging Neuroscience · doi:10.1162/imag.a.1365
“…by transient swelling of neurons, dendritic spines, and axons, as well as cytoskeletal rearrangements ( Andrew & MacVicar, 1994; Cohen et al., 1968; El Hady & Machta, 2015; Iwasa & Tasaki, 1980; Iwasa et al., 1980; Kim et al., 2007; MacVicar & Hochman, 1991; Tasaki, 1999; Tasaki & Byrne, 1990),…”
- Authors
- El Hady, A., & Machta, B. B.
- Affiliations
- Princeton University (US)
- Corresponding author
- Machta, Benjamin B.
- ORCID
- Machta, Benjamin B.
- Venue
- Nature Communications
- Published
- 2015-03-30
- Volume
- 6
- Issue
- 1
- ISSN
- 2041-1723 (ISSN-L)
- OpenAlex
- W2768526693
- Cited by
- 171
- References
- 0
- Citations by year
- 2026: 14 · 2025: 13 · 2024: 13 · 2023: 14 · 2022: 20 · 2021: 25 · 2020: 16 · 2019: 15 · 2018: 18 · 2017: 16 · 2016: 6 · 2015: 1
- FWCI
- 7.28
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- Locations
- Nature Communications (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Funders
- Abdus Salam International Centre for Theoretical Physics
- Topics
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Cell Biology › Cellular Mechanics and Interactions
- Life Sciences › Biochemistry, Genetics and Molecular Biology › Molecular Biology › Ion channel regulation and function
- Life Sciences › Neuroscience › Cellular and Molecular Neuroscience › Neuroscience and Neural Engineering
- Keywords
- action potential propagation, surface wave modes, membrane elasticity, cytoskeleton, electrostatic forces, charge separation, squid giant axon
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