Explicit formulas for a continuous stochastic maturation model. Application to anticancer drug pharmacokinetics/pharmacodynamics
Probability
2008-08-13 v3 Quantitative Methods
Abstract
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.
Cite
@article{arxiv.math/0412193,
title = {Explicit formulas for a continuous stochastic maturation model. Application to anticancer drug pharmacokinetics/pharmacodynamics},
author = {Djalil Chafai and Didier Concordet},
journal= {arXiv preprint arXiv:math/0412193},
year = {2008}
}
Comments
Revised version, accepted for publication in Stochastic Models (Taylor & Francis)