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Mathematical and computational models of drug transport in tumours

Groh, C.M.; Hubbard, Matthew E.; Jones, P.F.; Loadman, P.M.; Periasamy, N.; Sleeman, B.D.; Smye, S.W.; Twelves, C.J.; Phillips, R.M.

Authors

C.M. Groh

Matthew E. Hubbard Matthew.Hubbard@nottingham.ac.uk

P.F. Jones

P.M. Loadman

N. Periasamy

B.D. Sleeman

S.W. Smye

C.J. Twelves

R.M. Phillips



Abstract

The ability to predict how far a drug will penetrate into the tumour microenvironment within its pharmacokinetic (PK) lifespan would provide valuable information about therapeutic response. As the PK profile is directly related to the route and schedule of drug administration, an in silico tool that can predict the drug administration schedule that results in optimal drug delivery to tumours would streamline clinical trial design. This paper investigates the application of mathematical and computational modelling techniques to help improve our understanding of the fundamental mechanisms underlying drug delivery, and compares the performance of a simple model with more complex approaches. Three models of drug transport are developed, all based on the same drug binding model and parametrized by bespoke in vitro experiments. Their predictions, compared for a ‘tumour cord’ geometry, are qualitatively and quantitatively similar. We assess the effect of varying the PK profile of the supplied drug, and the binding affinity of the drug to tumour cells, on the concentration of drug reaching cells and the accumulated exposure of cells to drug at arbitrary distances from a supplying blood vessel. This is a contribution towards developing a useful drug transport modelling tool for informing strategies for the treatment of tumour cells which are ‘pharmacokinetically resistant’ to chemotherapeutic strategies.

Journal Article Type Article
Publication Date Mar 12, 2014
Journal Interface
Electronic ISSN 1742-5662
Publisher Royal Society, The
Peer Reviewed Peer Reviewed
Volume 11
Issue 94
Article Number 20131173
APA6 Citation Groh, C., Hubbard, M. E., Jones, P., Loadman, P., Periasamy, N., Sleeman, B., …Phillips, R. (2014). Mathematical and computational models of drug transport in tumours. Interface, 11(94), doi:10.1098/rsif.2013.1173
DOI https://doi.org/10.1098/rsif.2013.1173
Keywords Computational modelling; Mathematical modelling; Drug delivery; Drug transport;
Drug binding; Pharmacokinetic profiles
Publisher URL http://rsif.royalsocietypublishing.org/content/11/94/20131173
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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