Mathematical modeling of brain metabolites variations in the circadian rhythm

Laura Hatchondo; Carole Guillevin; Mathieu Naudin; Laurence Cherfils; Alain Miranville; Rémy Guillevin; Laura Hatchondo; Carole Guillevin; Mathieu Naudin; Laurence Cherfils; Alain Miranville; Rémy Guillevin

doi:10.3934/math.2020013

AIMS Mathematics

2020, Volume 5, Issue 1: 216-225. doi: 10.3934/math.2020013

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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

Received: 28 October 2019 Accepted: 01 November 2019 Published: 04 November 2019
MSC : 34A12, 92C50

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.
- 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[J]. AIMS Mathematics, 2020, 5(1): 216-225. doi: 10.3934/math.2020013

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Abstract

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.

References

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