Explicit formulas for a continuous stochastic maturation model. Application to anticancer drug pharmacokinetics/pharmacodynamics

Simple item page
dc.creatorChafai, Djalil
dc.creatorConcordet, Didier
dc.date2004-12-09
dc.date2008-04-02
dc.date.accessioned2026-07-07T09:56:16Z
dc.date.available2026-07-07T09:56:16Z
dc.descriptionWe 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.
dc.descriptionRevised version, accepted for publication in Stochastic Models (Taylor & Francis)
dc.identifierhttps://arxiv.org/abs/math/0412193
dc.identifierhttp://arxiv.org/abs/math/0412193
dc.identifierStochastic Models 24, 3 (2008) 376-400
dc.identifierdoi:10.1080/15326340802232244
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/166919
dc.subjectProbability
dc.subjectQuantitative Methods
dc.subject92B05; 60G07; 60K25; 60K20; 60J80; 60J85; 47D08; 60J25; 60J75
dc.titleExplicit formulas for a continuous stochastic maturation model. Application to anticancer drug pharmacokinetics/pharmacodynamics
dc.typetext

Files

Collections

arXiv