Comptes Rendus
no. 9-10
Ordinary Differential Equations/Dynamical Systems
Monotonicity of the peak time in turnover models
[Monotonie du temps de réponse maximal dans des modèles turnovers]

Présenté par : Haïm Brezis

Hoai-Minh Nguyen1 ; Lambertus A. Peletier2
1 School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA
2 Mathematical Institute, Leiden University, PB 9512, NL-2300 RA Leiden, The Netherlands
Comptes Rendus. Mathématique, Volume 347 (2009) no. 9-10, pp. 495-500.

Nous démontrons que dans des trois modèles turnovers classiques en pharmacodynamique le temps de réponse maximal augmente en fonction de la dose de drogue lorsque la concentration du médicament dans le plasma sanguin diminue exponentiellement en temps.

We prove that in three of the classical turnover models in pharmacodynamics the time to maximal response increases with increasing drug dose when the concentration of the drug in the blood plasma decreases exponentially with time.

Reçu le :
Publié le :
DOI : 10.1016/j.crma.2009.02.005

Hoai-Minh Nguyen 1 ; Lambertus A. Peletier 2

1 School of Mathematics, Institute for Advanced Study, Princeton, NJ 08540, USA
2 Mathematical Institute, Leiden University, PB 9512, NL-2300 RA Leiden, The Netherlands 
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Hoai-Minh Nguyen; Lambertus A. Peletier. Monotonicity of the peak time in turnover models. Comptes Rendus. Mathématique, Volume 347 (2009) no. 9-10, pp. 495-500. doi : 10.1016/j.crma.2009.02.005. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2009.02.005/

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