A new chaotic model for glucose-insulin regulatory system

作者：Shabestari Payam Sadeghi; Panahi Shirin; Hatef Boshra; Jafari Sajad^*; Sprott Julien C

来源：Chaos Solitons & Fractals, 2018, 112: 44-51.

DOI：10.1016/j.chaos.2018.04.029

• Diabetes mellitus
• Prey and predator model
• Chaotic behavior
• Hidden attractors

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.

• 出版日期2018-7