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Stefânia Da Silveira Glaeser
Universidade Federal do Rio Grande
Angélica Theis Dos Santos
Universidade Federal do Rio Grande
Adriano De Cezaro
Universidade Federal do Rio Grande
Catia Maria dos Santos Machado
Universidade Federal do Rio Grande
Diana Francisca Adamatti
Universidade Federal do Rio Grande
Vol. 7 No. 2 (2018), Articles, pages 17-25
Accepted: Sep 13, 2018
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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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Borbely, A. A. and Achermann, P., 1999. Sleep homeostasis and models of sleep regulation.Journal of biologicalrhythms, 14(6):559-570. -

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. -

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. -

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. -

Rezende, S. O., 2003.Sistemas Inteligentes: fundamentos e aplicações. Barueri,SP.

Skeldon, A., 2014. Are you listening to your body clock? ( 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. -

Woolridge, M. J., 2001.Introduction to Multiagent Systems. John Wiley & Sons, Inc., New York, NY, USA.ISBN 047149691X.