Title
Compartmental modelling of the pharmacokinetics of a breast cancer resistance protein
Abstract
A mathematical model for the pharmacokinetics of Hoechst 33342 following administration into a culture medium containing a population of transfected cells (HEK293 hBCRP) with a potent breast cancer resistance protein inhibitor, Fumitremorgin C (FTC), present is described. FTC is reported to almost completely annul resistance mediated by BCRP in vitro. This non-linear compartmental model has seven macroscopic sub-units, with 14 rate parameters. It describes the relationship between the concentration of Hoechst 33342 and FTC, initially spiked in the medium, and the observed change in fluorescence due to Hoechst 33342 binding to DNA. Structural identifiability analysis has been performed using two methods, one based on the similarity transformation/exhaustive modelling approach and the other based on the differential algebra approach. The analyses demonstrated that all models derived are uniquely identifiable for the experiments/observations available. A kinetic modelling software package, namely FACSIMILE (MPCA Software, UK), was used for parameter fitting and to obtain numerical solutions for the system equations. Model fits gave very good agreement with in vitro data provided by AstraZeneca across a variety of experimental scenarios.
Year
DOI
Venue
2011
10.1016/j.cmpb.2010.08.018
Computer Methods and Programs in Biomedicine
Keywords
Field
DocType
culture medium,compartmental modelling,exhaustive modelling approach,model fit,differential algebra approach,mathematical model,breast cancer resistance protein,vitro data,annul resistance,potent breast cancer resistance,kinetic modelling software package,non-linear compartmental model,dna structure,differential algebra,similarity transformation,kinetics
Drug Kinetics,Population,Abcg2,Fumitremorgin C,Biological system,Computer science,Identifiability analysis,Pharmacokinetics,In vitro,Bioinformatics,Statistics
Journal
Volume
Issue
ISSN
104
2
1872-7565
Citations 
PageRank 
References 
1
0.39
2
Authors
6
Name
Order
Citations
PageRank
Thomas R. B. Grandjean131.46
Mike J. Chappell210.39
James W.T. Yates3296.15
Kevin Jones410.39
Gemma Wood510.39
Tanya Coleman610.39