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Open Access

Randomness in the Hybrid Modeling and Simulation of Insulin Secretion Pathways in Pancreatic Islets

Yang Pu, David C. Samuels, Layne T. Watson, Yang Cao( )
Department of Computer Science, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061, USA.
Department of Molecular Physiology and Biophysics, Vanderbilt University, Nashville, TN 37232, USA.
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Abstract

Insulin secreted by pancreatic islet β-cells is the principal regulating hormone of glucose metabolism. Disruption of insulin secretion may cause glucose to accumulate in the blood, and result in diabetes mellitus. Although deterministic models of the insulin secretion pathway have been developed, the stochastic aspect of this biological pathway has not been explored. The first step in this direction presented here is a hybrid model of the insulin secretion pathway, in which the delayed rectifying K + channels are treated as stochastic events. This hybrid model can not only reproduce the oscillation dynamics as the deterministic model does, but can also capture stochastic dynamics that the deterministic model does not. To measure the insulin oscillation system behavior, a probability-based measure is proposed and applied to test the effectiveness of a new remedy.

Keywords

insulin secretionmathematical modelinghybrid model and simulationstochastic dynamics

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Tsinghua Science and Technology
Volume 20 Issue 5,
October 2015
Pages 441-452
DOI: 10.1109/TST.2015.7297743
Cite this article:
Pu Y, Samuels DC, Watson LT, et al. Randomness in the Hybrid Modeling and Simulation of Insulin Secretion Pathways in Pancreatic Islets. Tsinghua Science and Technology, 2015, 20(5): 441-452. https://doi.org/10.1109/TST.2015.7297743

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Received: 26 July 2015
Accepted: 06 August 2015
Published: 13 October 2015
The author(s) 2015
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