Abstract
In this paper mathematical models are formulated in order to simulate heat production and corresponding temperature changes which accompany the propagation of an action potential. Based on earlier experimental results, several models are proposed. Together with the earlier system of coupled differential equations derived by the authors for describing the electrical and mechanical components of signaling in nerve fibers, the novel results permit to cast the whole process of signaling into one system. The emphasis is on the mathematical description of coupling forces. The numerical results are qualitatively similar to experiments.
Funding source: European Regional Development Fund
Award Identifier / Grant number: TK 124
Funding source: Eesti Teadusagentuur
Award Identifier / Grant number: IUT 33-24
Funding statement: This research was supported by the European Union through the European Regional Development Fund (Estonian Programme TK 124) and by the Estonian Research Council (IUT 33-24).
Acknowledgment
The authors thank S. T. Meissner for valuable comments during the preparation of the manuscript.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Special Issue Articles of the International Workshop on Non-Equilibrium Thermodynamics IWNET2018
- Editorial
- Entropy and Entropy Production in Multiscale Dynamics
- Micro-Inertia Effects in Material Flow
- Kluitenberg–Verhás Rheology of Solids in the GENERIC Framework
- A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium
- Regular Research Articles
- Temperature changes accompanying signal propagation in axons
- Development of Hybrid ANFIS–CFD Model for Design and Optimization of Membrane Separation of Benzoic Acid
- On the Combined Use of Friction Matrices and Dissipation Potentials in Thermodynamic Modeling
- Focalization of Heat Waves in an Inhomogeneous System
- Thermoelectric Thomson Relations Revisited for a Linear Energy Converter
Articles in the same Issue
- Frontmatter
- Special Issue Articles of the International Workshop on Non-Equilibrium Thermodynamics IWNET2018
- Editorial
- Entropy and Entropy Production in Multiscale Dynamics
- Micro-Inertia Effects in Material Flow
- Kluitenberg–Verhás Rheology of Solids in the GENERIC Framework
- A Rigorous Scattering Approach to Quasifree Fermionic Systems out of Equilibrium
- Regular Research Articles
- Temperature changes accompanying signal propagation in axons
- Development of Hybrid ANFIS–CFD Model for Design and Optimization of Membrane Separation of Benzoic Acid
- On the Combined Use of Friction Matrices and Dissipation Potentials in Thermodynamic Modeling
- Focalization of Heat Waves in an Inhomogeneous System
- Thermoelectric Thomson Relations Revisited for a Linear Energy Converter