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Repository of Research and Investigative Information

Baqiyatallah University of Medical Sciences

A new chaotic model for glucose-insulin regulatory system

(2018) A new chaotic model for glucose-insulin regulatory system. Chaos Solitons & Fractals. pp. 44-51. ISSN 0960-0779

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Abstract

For non-invasively investigating the interaction between insulin and glucose, mathematical modeling is very helpful. In this paper, we propose a new model for insulin-glucose regulatory system based on the well-known prey and predator models. The results of previous researches demonstrate that chaos is a common feature in complex biological systems. Our results are in accordance with previous studies and indicate that glucose-insulin regulatory system has various dynamics in different conditions. One interesting feature of this new model is having hidden attractor for some set of parameters. The result of this paper might be helpful for better understanding of regulatory system that contains glucose, insulin, and diseases such as diabetes, hypoglycemia, and hyperinsulinemia. (C) 2018 Elsevier Ltd. All rights reserved.

Item Type: Article
Keywords: Diabetes mellitus Prey and predator model Chaotic behavior Hidden attractors convective fluid motion hidden attractors mathematical-model nonlinear dynamics neural-networks no equilibria attention disorder brain hyperinsulinemia Mathematics Physics
Divisions:
Page Range: pp. 44-51
Journal or Publication Title: Chaos Solitons & Fractals
Journal Index: ISI
Volume: 112
Identification Number: https://doi.org/10.1016/j.chaos.2018.04.029
ISSN: 0960-0779
Depositing User: مهندس مهدی شریفی
URI: http://eprints.bmsu.ac.ir/id/eprint/3701

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