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Mathematical modelling of the fluid dynamics involved in colonic mixing with applications to drug delivery

Davies, Allison Bridget Mary (2015)
Ph.D. thesis, University of Birmingham.

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Abstract

Within the pharmaceutical industry there is current interest in the proximal colon as a site for drug delivery. Segmental contractions of the smooth colonic muscle are the most prevalent type; these promote the mixing of material within the lumen, which in turn aids absorption. Few physical or theoretical models have been developed to assist with the understanding of dosage form behaviour within the colon.

We model the colon as a cylindrical pipe, whose boundary represents the circular muscle layer. Assuming the boundary is axisymmetric and that the contractions may be modelled by a standing wave of small amplitude, we employ a perturbation expansion to describe the behaviour of both one and two layer fluid flow using various rheological models.

Utilising the results and Lagrangian particle tracking we create a model of drug delivery which analyses the proportion, by volume, of a drug reaching the colonic epithelium, discovering that the segmental contractions of the colon lead to effective mixing of the fluid. We investigate the results of varying the fluid rheology and contractile properties, finding that the amplitude of contraction has the largest effect on the proportion of particles absorbed. The results prove themselves robust to variation in contractile frequency, fluid viscosity and ratio between radius and wavelength, which is promising in terms of consistent drug delivery across a range of physiological states.

Type of Work:Ph.D. thesis.
Supervisor(s):Smith, David and Dyson, Rosemary
School/Faculty:Colleges (2008 onwards) > College of Engineering & Physical Sciences
Department:School of Mathematics
Subjects:QA Mathematics
Institution:University of Birmingham
ID Code:5405
This unpublished thesis/dissertation is copyright of the author and/or third parties. The intellectual property rights of the author or third parties in respect of this work are as defined by The Copyright Designs and Patents Act 1988 or as modified by any successor legislation. Any use made of information contained in this thesis/dissertation must be in accordance with that legislation and must be properly acknowledged. Further distribution or reproduction in any format is prohibited without the permission of the copyright holder.
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