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| HAL : hal-00003498, version 3 |
| arXiv : math/0412193 |
| DOI : 10.1080/15326340802232244 |
| Fiche détaillée |  Récupérer au format |
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| Stochastic Models 24, 3 (2008) 376-400 |
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| Versions disponibles : | v1 (09-12-2004) | v2 (02-05-2006) | v3 (02-04-2008) |
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| Explicit formulas for a continuous stochastic maturation model. Application to anticancer drug pharmacokinetics/pharmacodynamics. |
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Djalil Chafai 1, 2Didier Concordet 1, 2 |
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| (07/2008) |
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| We present a continuous time model of maturation and survival, obtained as the limit of a compartmental evolution model when the number of compartments tends to infinity. We establish in particular an explicit formula for the law of the system output under inhomogeneous killing and when the input follows a time-inhomogeneous Poisson process. This approach allows the discussion of identifiability issues which are of difficult access for finite compartmental models. The article ends up with an example of application for anticancer drug pharmacokinetics/pharmacodynamics. |
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| 1 : | Physiopathologie et Toxicologie Expérimentales (UPTE) |
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INRA : UR0181 – Ecole Nationale Vétérinaire de Toulouse |
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| 2 : | Institut de Mathématiques de Toulouse (IMT) |
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Université Paul Sabatier - Toulouse III – Université Toulouse le Mirail - Toulouse II – Université des Sciences Sociales - Toulouse I – Institut National des Sciences Appliquées de Toulouse – CNRS : UMR5219 |
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| Domaine | : | Mathématiques/Probabilités Sciences du Vivant/Bio-Informatique, Biologie Systémique Informatique/Bio-informatique |
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| Compartmental systems – time lags – maturation models – stochastic modelling – Markov processes – inhomogeneous Markov processes – birth and death processes – queueing systems – point processes – Feynman-Kac formulae – jump processes – stochastic networks. |
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| hal-00003498, version 3 | |
| http://hal.archives-ouvertes.fr/hal-00003498 | |
| oai:hal.archives-ouvertes.fr:hal-00003498 | |
| Contributeur : Djalil Chafai | |
| Soumis le : Mercredi 2 Avril 2008, 14:25:03 | |
| Dernière modification le : Mercredi 28 Octobre 2009, 15:29:38 | |
