A Mathematical Model for Drug Delivery

Martin Meere

A Mathematical Model for Drug Delivery

Martin Meere

Mathematics

Research output: Chapter in Book or Conference Publication/Proceeding › Conference Publication › peer-review

Abstract

We consider a model for local drug re-distribution in a tissue that incorporates the effects of diffusion and reversible binding with immobile sites within the tissue. The model tracks the evolution of the concentration in the tissue of free drug, specifically and non-specifically bound drug, and specific binding sites. We reduce the model to a scalar nonlinear diffusion equation for the total drug. The model is used to investigate tissue residence time for strongly bound drugs by considering a problem with uniform initial drug concentration and perfect sink boundary conditions. The behaviour predicted by the model has potential implications for the design of local drug delivery systems if the drug is strongly bound.

Original language	English (Ireland)
Title of host publication	Progress in Industrial Mathematics at ECMI 2010
Place of Publication	Wuppertal Germany
Publication status	Published - 1 Jan 2012

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N2 - We consider a model for local drug re-distribution in a tissue that incorporates the effects of diffusion and reversible binding with immobile sites within the tissue. The model tracks the evolution of the concentration in the tissue of free drug, specifically and non-specifically bound drug, and specific binding sites. We reduce the model to a scalar nonlinear diffusion equation for the total drug. The model is used to investigate tissue residence time for strongly bound drugs by considering a problem with uniform initial drug concentration and perfect sink boundary conditions. The behaviour predicted by the model has potential implications for the design of local drug delivery systems if the drug is strongly bound.

AB - We consider a model for local drug re-distribution in a tissue that incorporates the effects of diffusion and reversible binding with immobile sites within the tissue. The model tracks the evolution of the concentration in the tissue of free drug, specifically and non-specifically bound drug, and specific binding sites. We reduce the model to a scalar nonlinear diffusion equation for the total drug. The model is used to investigate tissue residence time for strongly bound drugs by considering a problem with uniform initial drug concentration and perfect sink boundary conditions. The behaviour predicted by the model has potential implications for the design of local drug delivery systems if the drug is strongly bound.

M3 - Conference Publication

BT - Progress in Industrial Mathematics at ECMI 2010

CY - Wuppertal Germany

ER -

A Mathematical Model for Drug Delivery

Abstract

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