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Mathematical modeling of brain metabolites variations in the circadian rhythm

1 Université de Poitiers, Laboratoire de Mathématiques et Applications, Equipe DACTIM-MIS, UMR CNRS 7348, 11 Boulevard Marie et Pierre Curie, Site du Futuroscope, Téléport 2, Bâtiment H3 - TSA 61125, F-86073 Poitiers Cedex 9, France
2 Université de Poitiers, Laboratoire I3M et Laboratoire de Mathématiques et Applications, Equipe DACTIM-MIS, UMR CNRS 7348, 11 Boulevard Marie et Pierre Curie, Site du Futuroscope, Téléport 2, Bâtiment H3 - TSA 61125, F-86073 Poitiers Cedex 9, France
3 CHU de Poitiers, 2 Rue de la Milétrie, F-86021 Poitiers, France
4 Université de La Rochelle, Laboratoire des Sciences de l’Ingénieur pour l’Environnement, UMR CNRS 7356, Avenue Michel Crépeau, F-17042 La Rochelle Cedex, France

Special Issues: Mathematical modeling in medicine

Our aim in this paper is to study ODEs models in view of applications to brain metabolites variations in the circadian rhythm. We address the well-posedness of the models, as well as the nonnegativity of the solutions. We then give numerical simulations which we compare with real medical data.
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Keywords circadian rhythm; brain metabolites variations; mathematical modeling; nonnegativity; simulations

Citation: Laura Hatchondo, Carole Guillevin, Mathieu Naudin, Laurence Cherfils, Alain Miranville, Rémy Guillevin. Mathematical modeling of brain metabolites variations in the circadian rhythm. AIMS Mathematics, 2020, 5(1): 216-225. doi: 10.3934/math.2020013

References

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