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/

[1] E. Ackerman; J.W. Rosevear; W.F. McGuckin A mathematical model of the glucose-tolerance test, Phys. Med. Biol., Volume 9 (1964), pp. 203-213

[2] N.L. Dayneka; V. Garg; W.J. Jusko Comparison of four basic models of indirect pharmacodynamic responses, J. Pharmacokin. Biopharm., Volume 21 (1993), pp. 457-478

[3] J. Gabrielsson; D. Weiner Pharmacokinetic/Pharmacodynamic Data Analysis: Concepts and Applications, Swedish Pharmaceutical Press, Stockholm, 2006

[4] W. Krzyzanski; W.J. Jusko Mathematical formalism for the properties of four basic models of indirect pharmacodynamic responses, J. Pharmacokin. Biopharm., Volume 25 (1997), pp. 107-123

[5] W. Krzyzanski; W.J. Jusko Mathematical formalism and characteristics of four basic models of indirect pharmacodynamic responses for drug infusions, J. Pharmacokin. Biopharm., Volume 26 (1998), pp. 385-408

[6] W. Krzyzanski; W.J. Jusko Integrated functions for four basic models of indirect pharmacodynamic response, J. Pharm. Sci., Volume 87 (1998), pp. 67-72

[7] D.E. Mager; E. Wyska; W.J. Jusko Diversity of mechanism-based pharmacodynamic models, Drug Metab. Dispos., Volume 31 (2003), pp. 510-519

[8] A. Majumdar Characterisation of the dose-dependent time of peak effect in indirect response models, J. Pharmacokin. Biopharm., Volume 26 (1998), pp. 183-206

[9] R. Nagashima; R.A. O'Reilly; G. Levy Kinetics of pharmacological effects in man: The anticoagulant action of warfarin, Clin. Phamacol. Ther., Volume 10 (1969), pp. 22-35

[10] H.-M. Nguyen; L.A. Peletier Monotonicity of time to peak response with respect to drug dose for turnover models, Differential and Integral Equations, Volume 22 (2009), pp. 1-26

[11] L.A. Peletier; J. Gabrielsson; J. den Haag A dynamical systems analysis of the indirect response model with special emphasis on time to peak response, J. Pharmacokin. Pharmacodyn., Volume 32 (2005), pp. 607-654

[12] A. Sharma; W.J. Jusko Characterisation of four basic models of indirect pharmacodynamic responses, J. Pharmacokin. Biopharm., Volume 24 (1996), pp. 611-635

[13] M. Wakelkamp; G. Alvan; G. Paintaud The time of maximum effect for model selection in pharmacokinetic–pharmacodynamic analysis applied to frusemide, [Clinical Trial. Journal Article. Randomized Controlled Trial] British Journal of Clinical Pharmacology, Volume 45 (1998), pp. 63-70

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