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. DOI: 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. DOI: 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. DOI: https://doi.org/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. 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. DOI: 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. 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. DOI: https://doi.org/10.14201/ADCAIJ2018721725
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. 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. DOI: https://doi.org/10.1177/0748730407299200
Kuramoto, Y.; (1984). Chemical Oscillations, Waves, and Turbulence. Vol. 19, Springer, Berlin, https://doi.org/10.1007/978-3-642-69689-3. DOI: 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. 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. DOI: https://doi.org/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. DOI: https://doi.org/10.1017/CBO9780511755743
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. DOI: https://doi.org/10.1016/j.physrep.2015.10.008
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