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Numerical simulation of a glucose sensitive composite membrane closed-loop insulin delivery system

Mukherjee, Shashi Bajaj and Datta, Debabrata and Raha, Soumyendu and Pal, Debnath (2017) Numerical simulation of a glucose sensitive composite membrane closed-loop insulin delivery system. In: BIOPROCESS AND BIOSYSTEMS ENGINEERING, 40 (10). pp. 1453-1462.

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Official URL: http://doi.org/10.1007/s00449-017-1803-1

Abstract

Closed-loop insulin delivery system works on pH modulation by gluconic acid production from glucose, which in turn allows regulation of insulin release across membrane. Typically, the concentration variation of gluconic acid can be numerically modeled by a set of non-linear, non-steady state reaction diffusion equations. Here, we report a simpler numerical approach to time and position dependent diffusivity of species using finite difference and differential quadrature (DQ) method. The results are comparable to that obtained by analytical method. The membrane thickness directly determines the concentrations of the glucose and oxygen in the system, and inversely to the gluconic acid. The advantage with the DQ method is that its parameter values need not be altered throughout the analysis to obtain the concentration profiles of the glucose, oxygen and gluconic acid. Our work would be useful for modeling diabetes and other systems governed by such non-linear and non-steady state reaction diffusion equations.

Item Type: Journal Article
Additional Information: Copy right for this article belongs to the SPRINGER, 233 SPRING ST, NEW YORK, NY 10013 USA
Department/Centre: Division of Interdisciplinary Research > Supercomputer Education & Research Centre
Depositing User: Id for Latest eprints
Date Deposited: 16 Sep 2017 06:28
Last Modified: 16 Sep 2017 06:28
URI: http://eprints.iisc.ac.in/id/eprint/57785

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