ArticleThe European physical journal. E, Soft matter2011
The stability of solitons in biomembranes and nerves.
Article in The European physical journal. E, Soft matter, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 9 papers.
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9 citing papers in PubMed, 96 citations in OpenAlex.
- Toward a holographic brain paradigm: a lipid-centric model of brain functioning.Frontiers in neuroscience · 2023Article
- Emergence of lump-like solitonic waves in Heimburg-Jackson biomembranes and nerves fractal model.Journal of the Royal Society, Interface · 2022Article
- Position sensitive measurement of trace lithium in the brain with NIK (neutron-induced coincidence method) in suicide.Scientific reports · 2021Article
- Collision and annihilation of nonlinear sound waves and action potentials in interfaces.Journal of the Royal Society, Interface · 2018Article
- Acoustic neuromodulation from a basic science prospective.Journal of therapeutic ultrasound · 2016Review
- Evidence for two-dimensional solitary sound waves in a lipid controlled interface and its implications for biological signalling.Journal of the Royal Society, Interface · 2014Article
- The thermodynamics of general and local anesthesia.Biophysical journal · 2014Article
- The capacitance and electromechanical coupling of lipid membranes close to transitions: the effect of electrostriction.Biophysical journal · 2012Article
- The thermodynamics of general anesthesia.Biophysical journal · 2007Article
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Authors and funding
4 authors at 1 institution in 1 country.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We examine the stability of a class of solitons, obtained from a generalization of the Boussinesq equation, which have been proposed to be relevant for pulse propagation in biomembranes and nerves. These solitons are found to be stable with respect to small-amplitude fluctuations. They emerge naturally from non-solitonic initial excitations and are robust in the presence of dissipation. Solitary waves pass through each other with only minor dissipation when their amplitude is small. Large-amplitude solitons fall apart into several pulses and small-amplitude noise upon collision when the maximum density of the membrane is limited by the density of the solid phase membrane.
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