37 citations · 141 across the 17 of their papers we have counts for
17 papers
Action potentials and solitons
Jüri Engelbrecht, Kert Tamm, Tanel Peets
During the last decade, the notion of solitons has been mentioned in neuroscience related to the propagation of action potentials (AP). In this paper, based on many studies in math…
On phenomenology of physical effects in axons
Jüri Engelbrecht, Kert Tamm, Tanel Peets
This paper deals with the mathematical modelling of signal propagation in nerve fibres. Due to the complexity of the processes where electrical, mechanical, and thermal effects are…
From modelling to understanding: the signals in nerves
Jüri Engelbrecht, Kert Tamm, Tanel Peets
This paper attempts to review our studies on the propagation of signals in nerves over the past decade. The need for interdisciplinary studies is stressed that helps to understand…
The modelling of the action potentials in myelinated nerve fibres
Kert Tamm, Tanel Peets, Jüri Engelbrecht
The initial version of the planned paper has gone through a major revision in 2025. First, the paper ended up growing a bit too long, and as a result of that, we decided to split i…
On concepts of mathematical physics for modelling signals in axons
Tanel Peets, Kert Tamm, Jüri Engelbrecht
In this short paper, the results of the paper by Drab et al. (Eur. Phys. J. E (2022) 45:79) are described in the framework of wave mechanics and mathematical physics based on commo…
Mechanical waves in myelinated axon wall
Kert Tamm, Tanel Peets, Jüri Engelbrecht
The propagation of an action potential is accompanied by mechanical and thermal effects. Several mathematical models explain the deformation of the unmyelinated axon wall. In this…
On physical background of nerve pulse propagation: heat and energy
Jüri Engelbrecht, Kert Tamm, Tanel Peets
Recent studies have revealed the complex structure of nerve signals in axons. Besides the electrical signal, mechanical and thermal effects are also detected in many experimental s…
On mechanisms of electromechanophysiological interactions between the components of nerve signals in axons
Jüri Engelbrecht, Kert Tamm, Tanel Peets
Recent studies have revealed the complex structure of nerve signals in axons. There is experimental evidence that the propagation of an electrical signal (action potential) is acco…
On numerical modeling of dispersive mechanical waves in lipid bi-layers
Kert Tamm, Tanel Peets, Jüri Engelbrecht
We investigate different mechanical effects which accompany the nerve pulse propagation by using mathematical modeling. The propagation process is composed by three connected pheno…
Modelling of processes in nerve fibres at the interface of physiology and mathematics
Jüri Engelbrecht, Kert Tamm, Tanel Peets
The in silico simulations are widely used in contemporary systems biology including the analysis of nerve pulse propagation. As known from numerous experiments, the propagation of…
Mathematics of nerve signals
Jüri Engelbrecht, Kert Tamm, Tanel Peets
Mathematical models describing the signals propagating in nerve fibres are described. The emphasis is on the mathematical structures of governing equations while the extremely rich…
Primary and secondary components of nerve signals
Jüri Engelbrecht, Kert Tamm, Tanel Peets
The action potential propagating in a nerve fibre generates accompanying mechanical and thermal effects. The whole signal is therefore an ensemble which includes primary and second…
Temperature changes accompanying signal propagation in axons
Kert Tamm, Jüri Engelbrecht, Tanel Peets
In this paper mathematical models are formulated in order to simulate heat production and corresponding temperature changes which accompany the propagation of an axon potential. Ba…
On solutions of a Boussinesq-type equation with displacement-dependent nonlinearity: a soliton doublet
Tanel Peets, Kert Tamm, Päivo Simson +1
In this paper the permanent profile waves governed by a Boussinesq-type wave equation are analysed. The model involves displacement-type nonlinearities and dispersion terms. Physic…
Electromechanical coupling of waves in nerve fibres
Jüri Engelbrecht, Tanel Peets, Kert Tamm
The propagation of an action potential (AP) in a nerve fibre is accompanied by mechanical and thermal effects. In this paper an attempt is made to build up a mathematical model whi…
On solutions of a Boussinesq-type equation with amplitude-dependent nonlinearities: the case of biomembranes
Jüri Engelbrecht, Kert Tamm, Tanel Peets
Boussinesq-type wave equations involve nonlinearities and dispersion. In this paper a Boussinesq-type equation with amplitude-dependent nonlinearities is presented. Such a model wa…
On modelling of physical effects accompanying the propagation of action potentials in nerve fibres
Jüri Engelbrecht, Tanel Peets, Kert Tamm +2
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…