Weiße, Andrea Y. and Horenko, Illia and Huisinga, Wilhelm (2006) Adaptive Approach for Modelling Variability in Pharmacokinetics. In: Computational Life Sciences II Second International Symposium, CompLife 2006 Cambridge, UK, September 27-29, 2006. Proceedings. Lecture Notes in Computer Science (LNCS), 4216/2006 . Springer Berlin / Heidelberg, pp. 194-204. ISBN 978-3-540-45767-1

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Abstract

We present an improved adaptive approach for studying systems of ODEs affected by parameter variability and state space uncertainty. Our approach is based on a reformulation of the ODE problem as a transport problem of a probability density describing the evolution of the ensemble of systems in time. The resulting multidimensional problem is solved by representing the probability density w.r.t. an adaptively chosen Galerkin ansatz space of Gaussian distributions. Due to our improvements in adaptivity control, we substantially improved the overall performance of the original algorithm and moreover inherited the theoretical property that the number of Gaussian distribution stays constant for linear ODEs to the numerical scheme. We illustrate the approach in application to dynamical systems describing the pharmacokinetics of drugs and xenobiotics, where variability in physiological parameters is important to be considered.

Item Type:	Book Section
Additional Information:	The original publication is available at http://www.springerlink.com/content/duv5732v13576770/fulltext.pdf
Keywords:	Pharmacokinetics; ODE problem; Gaussian densities; CompLife 2006; LNCS; Hamilton Institute.
Academic Unit:	Faculty of Science and Engineering > Research Institutes > Hamilton Institute Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	1790
Identification Number:	https://doi.org/10.1007/11875741_19
Depositing User:	Hamilton Editor
Date Deposited:	18 Jan 2010 15:01
Publisher:	Springer Berlin / Heidelberg
Refereed:	Yes
URI:	Publisher
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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