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Transmission of pacemaker signal in a small world neuronal networks: temperature effects

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Abstract

The environmental temperature plays a crucial role in determining the behavior of any dynamical system. In particular, living organisms are characterized by a specific value of temperature, which ensures their normal functioning. In this paper, the effect of temperature on signal transmission of a pacemaker neuron is investigated using a small-world neuronal networks in which the pacemaker is stimulated by a square-wave signal. We observe that signal propagation may be significantly enhanced at intermediate temperatures, i.e., temperature favors the propagation of the rhythm of the pacemaker to the whole neuronal network. Furthermore, a rich dynamics is observed, including spiking and bursting activities, as well as full and remote synchronization. We also find that signal propagation crucially depends on the strength of the coupling. Our findings provide new insights on the system dynamics, and improve our understanding of the optimal temperature observed in experiments involving living biological systems.

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Data availability

The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work was supported partially by the National Natural Science Foundation of China under Grant Nos. 11675112 and 11805091.

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Authors and Affiliations

  1. Department of Mathematics, Shaoxing University, Shaoxing, China

    Zhiwei He

  2. College of Data science, Jiaxing University, Jiaxing, 314000, China

    Chenggui Yao

  3. College of Science, Northwest A & F University, Yangling, 712100, China

    Shuai Liu

  4. Nonlinear Research Institute, Baoji University of Arts and Sciences, Baoji, 721007, China

    Yu Qian

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  1. Zhiwei He
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Correspondence to Chenggui Yao.

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He, Z., Yao, C., Liu, S. et al. Transmission of pacemaker signal in a small world neuronal networks: temperature effects. Nonlinear Dyn 106, 2547–2557 (2021). https://doi.org/10.1007/s11071-021-06907-0

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