Cited by 171Cellular Mechanics and InteractionsIon channel regulation and functionNeuroscience and Neural Engineering

Mechanical surface waves accompany action potential propagation

Open access
El Hady, Ahmed, Machta, Benjamin B.·2015·Nature Communications

Abstract

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.

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Integrity signals

Registry

Crossref · 10.1038/ncomms7697

Cites

Statistics

Claims the paper makes

The claims and statistics of this paper haven’t been checked yet.

Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.

A few free checks a day · papers already verified open instantly · results are public

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

  • 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)

    Experimental — accuracy not yet measured

Self-check

Percentages, sums and reported differences re-computed from the paper’s own numbers.

The self-check needs the paper’s full text.

Cites

No references could be resolved yet.

Research works printed but not linked: 9

  1. Heimburg, T. & Jackson, A. D. On soliton propagation in biomembranes and nerves. Proc. Natl Acad. Sci. USA 102, 9790-9795 (2005).
  2. 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).
  3. 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).
  4. Brown, A. Lasek R in Squid as Experimental Animals (eds Gilbert, D., Adelman, WilliamJ, J. & Arnold, J.) 235-302 (Springer, 1990).
  5. Shrivastava, S. & Schneider, M. F. Opto-mechanical coupling in interfaces under static and propagative conditions and its biological implications. PLoS ONE 8, e67524 (2013).
  6. 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).
  7. Blicher, A. & Heimburg, T. Voltage-gated lipid ion channels. PLoS ONE 8, e65707 (2013).
  8. 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).
  9. 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

Authors
El Hady, A., & Machta, B. B.
Affiliations
Princeton University (US)
Corresponding author
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
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

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 ›

Are you an author, or do you see a problem with this page? Request a review