Quantitative analysis of time delays of glucose - insulin dynamics using artificial pancreas

Saloni  Rathee; Nilam

doi:10.3934/dcdsb.2015.20.3115

Article Contents

2015, Volume 20, Issue 9: 3115-3129. Doi: 10.3934/dcdsb.2015.20.3115

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Quantitative analysis of time delays of glucose - insulin dynamics using artificial pancreas

Saloni Rathee^1, and
Nilam^1,

1.
Department of Applied Mathematics, Delhi Technological University, Delhi-110042

Received: October 2014

Revised: June 2015

Published: November 2015

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Abstract

Time delay in insulin secretion, its absorption and action is a point of consideration in artificial pancreas as it may prove fatal in the extreme situation. The present mathematical model deals with two time delays out of which one occur in insulin secretion and second in its absorption and action. The model assess the change in glucose - insulin dynamics after the induction of different values of these time delays in their respective range. Also, simulation is performed over the model to quantify the amount of two time delays to avoid diabetic comma, which has not been explored much.

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Mathematics Subject Classification: 34D20, 92B05, 92C50.

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