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Temperature changes accompanying signal propagation in axons

  • Kert Tamm ORCID logo EMAIL logo , Jüri Engelbrecht and Tanel Peets
Published/Copyright: April 2, 2019

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.

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

[1] B. C. Abbott, A. V. Hill and J. V. Howarth, The positive and negative heat production associated with a nerve impulse, Proc. R. Soc. B, Biol. Sci. 148 (1958), no. 931, 149–187, DOI: 10.1098/rspb.1958.0012.Search in Google Scholar PubMed

[2] A. C. Downing, R. W. Gerard and A. V. Hill, The Heat Production of Nerve, Proc. R. Soc. B, Biol. Sci. 100 (1926), no. 702, 223–251, DOI: 10.1098/rspb.1926.0044.Search in Google Scholar

[3] J. V. Howarth, R. D. Keynes and J. M. Ritchie, The origin of the initial heat associated with a single impulse in mammalian non-myelinated nerve fibres, J. Physiol. 194 (1968), no. 3, 745–793, DOI: 10.1113/jphysiol.1968.sp008434.Search in Google Scholar PubMed PubMed Central

[4] J. M. Ritchie and R. D. Keynes, The production and absorption of heat associated with electrical activity in nerve and electric organ, Q. Rev. Biophys. 18 (1985), no. 04, 451, DOI: 10.1017/S0033583500005382.Search in Google Scholar PubMed

[5] I. Tasaki, A macromolecular approach to excitation phenomena: mechanical and thermal changes in nerve during excitation, Physiol. Chem. Phys. Med. NMR 20 (1988), no. 4, 251–268.Search in Google Scholar

[6] I. Tasaki and P. M. Byrne, Heat production associated with a propagated impulse in Bullfrog myelinated nerve fibers, Jpn. J. Physiol. 42 (1992), no. 5, 805–813, DOI: 10.2170/jjphysiol.42.805.Search in Google Scholar PubMed

[7] J. Engelbrecht, T. Peets and K. Tamm, Electromechanical coupling of waves in nerve fibres, Biomech. Model. Mechanobiol. 17 (2018), no. 6, 1771–1783, DOI: 10.1007/s10237-018-1055-2.Search in Google Scholar PubMed

[8] J. Engelbrecht, T. Peets, K. Tamm, M. Laasmaa and M. Vendelin, On the complexity of signal propagation in nerve fibres, Proc. Est. Acad. Sci. 67 (2018), no. 1, 28–38, DOI: 10.3176/proc.2017.4.28.Search in Google Scholar

[9] J. Engelbrecht, K. Tamm and T. Peets, On mathematical modelling of solitary pulses in cylindrical biomembranes, Biomech. Model. Mechanobiol. 14 (2015), no. 1, 159–167, DOI: 10.1007/s10237-014-0596-2.Search in Google Scholar PubMed

[10] J. Engelbrecht, K. Tamm and T. Peets, Modeling of complex signals in nerve fibers, Med. Hypotheses 120 (2018), 90–95, DOI: 10.1016/j.mehy.2018.08.021.Search in Google Scholar PubMed

[11] T. Peets and K. Tamm, On mechanical aspects of nerve pulse propagation and the Boussinesq paradigm, Proc. Est. Acad. Sci. 64 (2015), no. 3, 331, DOI: 10.3176/proc.2015.3S.02.Search in Google Scholar

[12] J. Nagumo, S. Arimoto and S. Yoshizawa, An active pulse transmission line simulating nerve axon, Proc. IRE 50 (1962), no. 10, 2061–2070, DOI: 10.1109/JRPROC.1962.288235.Search in Google Scholar

[13] T. Heimburg and A. D. Jackson, On soliton propagation in biomembranes and nerves, Proc. Natl. Acad. Sci. USA 102 (2005), no. 28, 9790–9795, DOI: 10.1073/pnas.0503823102.Search in Google Scholar

[14] T. Heimburg and A. D. Jackson, On the action potential as a propagating density pulse and the role of anesthetics, Biophys. Rev. Lett. 02 (2007), no. 01, 57–78, DOI: 10.1142/S179304800700043X.Search in Google Scholar

[15] T. Heimburg and A. D. Jackson, Thermodynamics of the nervous impulse, in: N. Kaushik (Ed.), Structure and Dynamics of Membranous Interfaces, John Wiley & Sons, 2008, Ch. 12, pp. 318–337.10.1002/9780470388495.ch12Search in Google Scholar

[16] M. Mussel and M. F. Schneider, It sounds like an action potential: unification of electrical, chemical and mechanical aspects of acoustic pulses in lipids, arXiv:1806.08551 [physics.bio-ph].Search in Google Scholar

[17] A. El Hady and B. B. Machta, Mechanical surface waves accompany action potential propagation, Nat. Commun. 6 (2015), 6697, DOI: 10.1038/ncomms7697.Search in Google Scholar

[18] H. Carslaw and J. Jaeger, Conduction of Heat in Solids, 2nd ed., Oxford Science Publications, Oxford, 1959.Search in Google Scholar

[19] I. Tasaki, K. Kusano and P. M. Byrne, Rapid mechanical and thermal changes in the garfish olfactory nerve associated with a propagated impulse, Biophys. J. 55 (1989), no. 6, 1033–1040, DOI: 10.1016/S0006-3495(89)82902-9.Search in Google Scholar

[20] S. T. Meissner, Private communication, University of the Philippines Cebu, Department of Biology and Environmental, Science, 2018.Search in Google Scholar

[21] G. A. Maugin and J. Engelbrecht, A thermodynamical viewpoint on nerve pulse dynamics, J. Non-Equilib. Thermodyn. 19 (1994), 9–23, DOI: 10.1515/jnet.1994.19.1.9.Search in Google Scholar

[22] A. L. Hodgkin, The conduction of the nervous impulse, Liverpool University Press, Liverpool, 1964.Search in Google Scholar

Received: 2019-02-15
Accepted: 2019-03-04
Published Online: 2019-04-02
Published in Print: 2019-07-26

© 2019 Walter de Gruyter GmbH, Berlin/Boston

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