# On modelling of physical effects accompanying the propagation of action potentials in nerve fibres

@article{Engelbrecht2016OnMO, title={On modelling of physical effects accompanying the propagation of action potentials in nerve fibres}, author={J. Engelbrecht and Tanel Peets and Kert Tamm and Martin Laasmaa and Marko Vendelin}, journal={arXiv: Biological Physics}, year={2016} }

The recent theoretical and experimental studies have revealed many details of signal propagation in nervous systems. In this paper an attempt is made to unify various mathematical models which describe the signal propagation in nerve fibres. The analysis of existing single models permits to select the leading physiological effects. As a result, a more general mathematical model is described based on the coupling of action potentials with mechanical waves in a nerve fibre. The crucial issue is…

## 9 Citations

### Electromechanical coupling of waves in nerve fibres

- PhysicsBiomechanics and modeling in mechanobiology
- 2018

An attempt is made to build up a mathematical model which couples the AP with a possible pressure wave in the axoplasm and waves in the nerve fibre wall made of a lipid bilayer (biomembrane) to determine the influence of possible coupling forces on the emergence of mechanical waves from the AP.

### Action Potential: A Vortex Phenomena; Driving Membrane Oscillations

- BiologyFrontiers in Computational Neuroscience
- 2020

A novel theory is proposed here which, unravels vortex ring formation due to ion currents in the intracellular and extracellular region leading to variation of pressure causing the increment/decrement in axon diameter.

### Thinking About the Nerve Impulse: The Prospects for the Development of a Comprehensive Account of Nerve Impulse Propagation

- BiologyFront. Cell. Neurosci.
- 2019

The Engelbrecht model is conceptually analyzed, finding that attempts to develop models that represent the nerve impulse accurately and completely appear unfeasible and that integrating distinct models into a general unifying model that provides a consistent picture of nerve impulse propagation is impossible.

### Thinking about the nerve impulse: A critical analysis of the electricity-centered conception of nerve excitability

- BiologyProgress in Neurobiology
- 2018

### Incorporating inductances in tissue-scale models of cardiac electrophysiology.

- BiologyChaos
- 2017

A hyperbolic bidomain model is developed that is based on a generalization of Ohm's law with a Cattaneo-type model for the fluxes and it is shown that the propagation of the action potential is strongly influenced by the alignment of the fibers with respect to the mesh in both the parabolic andhyperbolic models when using relatively coarse spatial discretizations.

### Challenges in modeling nerve-electrode interactions of neuronal implants

- Computer Science2016 URSI International Symposium on Electromagnetic Theory (EMTS)
- 2016

This paper accompanies a tutorial on challenges in modeling of nerve-electrode interactions in the context of neurochips and cochlear implants on the importance of mathematical models in abstracting the biological phenomena of nerves.

### On Nonlinear Waves in Media with Complex Properties

- Mathematics
- 2018

In nonlinear theories the axiom of equipresence requires all the effects of the same order to be taken account. In this paper the mathematical modelling of deformation waves in media is analysed…

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