Modeling of Circadian Rhythm under influence of Pain: an approach based on Multi-agent Simulation
Abstract The human body has endogenous biological rhythms. One of those rhythms is the circadian rhythm, with a cycle of approximate 24 hours, that is responsible for regulating many important functions of human body. In this contribution, we propose a nonlinear coupled differential equation for modelling some agents responsible for the circadian rhythm under the influence of pain. We show results concerning the well-posedness of a solution as well as an analysis on the synchronization for each agents. We use a multi-agent simulation strategy of an corresponding model as an alternative interpretation of the pain influences in the behavior of the circadian rhythm.
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Borbély, A. A., Daan, S., and Beersma, D., 1984. Timing of human sleep: recovery process gated by acircadian pacemaker.American Journal of Physiology-Regulatory, Integrative and Comparative Physiology,246(2):R161-R183. - https://doi.org/10.1152/ajpregu.1984.246.2.R161
Bordini, R. H., Vieira, R., and Moreira, Á. F., 2001. Fundamentos de sistemas multiagentes. InAnais do XXICongresso da Sociedade Brasileira de Computação (SBC2001), volume 2, pages 3-41.
Chiesa, J. J., 2005.Patrones Del Ritmo De Actividad Motora Como Expresión De La Plasticidad Del SistemaCircadiano. Ph.D. thesis, Universitat de Barcelona.
Ellenbogen, J. M., 2005. Cognitive benefits of sleep and their loss due to sleep deprivation.Neurology,64(7):E25-E27. - https://doi.org/10.1212/01.wnl.0000164850.68115.81
Glaeser, S. S., 2016.Modelagem de Sistemas Biológicos: Ritmo Circadiano. Master's thesis, UniversidadeFederal do Rio Grande.
Horne, J., Anderson, N., and Wilkinson, R., 1983. Effects of sleep deprivation on signal detection measures ofvigilance: implications for sleep function.Sleep: Journal of Sleep Research & Sleep Medicine. - https://doi.org/10.1093/sleep/6.4.347
Rezende, S. O., 2003.Sistemas Inteligentes: fundamentos e aplicações. Barueri,SP.
Skeldon, A., 2014. Are you listening to your body clock? (http://personal.maths.surrey.ac.uk/st/A.Skeldon/sleep.html).Surrey Sleep Research Center. University of Surrey.
Strogatz, S. H., 2013.The mathematical structure of the human sleep-wake cycle, volume 69. Springer Science& Business Media.
Wilensky, U., 1999. NetLogo.(ccl. northwestern. edu/netlogo).Center for Connected Learning and ComputerBased Modeling, Northwestern University.
Wooldridge, M. J. and Jennings, N. R., 1994. Agent theories, architectures, and languages: a survey. InIntelligentagents, pages 1-39. Springer. - https://doi.org/10.1007/3-540-58855-8_1
Woolridge, M. J., 2001.Introduction to Multiagent Systems. John Wiley & Sons, Inc., New York, NY, USA.ISBN 047149691X.
Da Silveira Glaeser, S., Dos Santos, A. T., De Cezaro, A., Machado, C. M. dos 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. https://doi.org/10.14201/ADCAIJ2018721725
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