Analysis of circadian rhythm synchronization under the influence of pain
DOI:
https://doi.org/10.5902/2179460X73631Keywords:
Synchronization, Biological rhythms, Pain, PIM modelAbstract
The synchronization of biological rhythms is of fundamental importance for health. The influence of pain on the functioning of vital functions and its effects on the synchronization of biological rhythms in human beings have been explored clinically for a long time. On the other hand, the modeling of this phenomenon can add features that are still unexplored. This bias fits the present contribution: to analyze the existence of synchronization of the circadian rhythm under the influence of external factors such as pain. To that end, we propose and investigate a model of coupled and phase oscillators that describes the sleep-wake, body temperature, and pain rhythms. The simplicity of the modeling allows one to obtain the synchronized solutions analytically as well as derive restrictions in terms of the parameters that guarantee their synchronization. The results obtained by analyzing the proposed model are accompanied by numerical simulations.
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Bard, E.; Youngmin, P.; Dan, W.; (2019). Recent advances in coupled oscillator theory. Phil. Trans. R. Soc. A., 337, 2160, 1 – 16. https://doi.org/10.1098/rsta.2019.0092.
Bick, C.; Goodfellow, M.; Laing, C. R.; Martens, E. A.; (2020). Understanding the dynamics of biological and neural oscillator networks through mean-field reductions: a review. J. Math. Neurosc. 10, 9. https://doi.org/10.1186/s13408-020-00086-9.
Bumgarner, J. R., Walker, W. H., Nelson, R. J. (2021). Circadian rhythms and pain. Neuroscience Biobehavioral Reviews, 129, 296–306. doi: 10.1016/j.neubiorev.2021.08.004.
Cai, Z.; Zheng, Z.; Xu, C.; (2022). Exact dynamics of phase transitions in oscillator populations with nonlinear coupling.
Communications in Nonlinear Science and Numerical Simulation, V. 107, P. 106–129. DOI: https://doi.org/10.1016/j.cnsns.2021.106129.
Contessa, M. N.; De Cezaro, A.; (2017). Derivadas fracionárias na modelagem do ritmo circadiano. Scientia Plena, 13, 4, 1–11. https://doi.org/10.14808/sci.plena.2017.049909.
Dörfler, F.; Bullo, F.; (2014). Synchronization in complex networks of phase oscillators: A survey. Automatica, 50, 6, 1539–1556. DOI: https://doi.org/10.1016/j.automatica.2014.04.012.
Glaeser, S. S.; Santos, A. T.; De Cezaro, A.; Machado, C. M. d. S., Adamatti, D. F.; (2018). Modeling of circadian rhythm under influence of pain: an approach based on multi-agent simulation. ADCAIJ: Advances in Distributed Computing and Artificial Intelligence Journal, 7, 2, 17–25.
Glaeser, S. S.; De Cezaro, F.; De Cezaro, A.; (2023). Synchronization of the circadian rhythms with memory: A simple fractional- order dynamical model based on two coupled oscillators. Trends in Comput Appl Mathematics, 24, 2, 1–15. DOI: https://doi.org/10.5540/tcam.2023.024.02.00245.
Journal of Biological Rhythms, 22, 2, 91–102. DOI: https://doi.org/10.1177/0748730407299200.
Klerman, E. B.; Hilaire, M. S.; (2007). On mathematical modeling of circadian rhythms, performance, and alertness.
Kuramoto, Y.; (1984). Chemical Oscillations, Waves, and Turbulence. Vol. 19, Springer, Berlin, https://doi.org/10.1007/978-3-642-69689-3.
Neves, A. R.; Albuquerque, T.; Quintela, T.; Costa, D.; (2022). Circadian rhythm and disease: Relationship, new insights, and future perspectives. Journal of Cellular Physiology, 237, 8, 3239–3256. DOI: https://doi.org/10.1002/jcp.30815.
Palada, V.; Gilron, I.; Canlon, B.; Svensson, C. I.; Kalso, E.; (2020). The circadian clock at the intercept of sleep and pain. PAIN, 161, 5, 894–900. DOI: 10.1097/j.pain.0000000000001786.
Pikovisky A, K. J.; Rosemblum M.; (2001). Synchronization: A Universal Concept in Nonlinear Sciences, 1º edn. Cambridge University Press. ISBN: 052153352X.
Rodrigues, F. A.; Peron, T. K. D.; Ji, P.; Kurths, J.; (2016). The kuramoto model in complex networks. Physics Reports, 610, 26, 1 – 98. https://doi.org/10.1016/j.physrep.2015.10.008.
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