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

作     者：Yang Pu David C.Samuels Layne T.Watson Yang Cao 

作者机构：the Department of Computer ScienceVirginia Polytechnic Institute and State University the Department of Molecular Physiology and BiophysicsVanderbilt University 

出 版 物：《Tsinghua Science and Technology》 (清华大学学报（自然科学版（英文版）)

年 卷 期：2015年第20卷第5期

页      面：441-452页

核心收录：

学科分类：1002[医学-临床医学] 100201[医学-内科学(含：心血管病、血液病、呼吸系病、消化系病、内分泌与代谢病、肾病、风湿病、传染病)] 10[医学] 

基　　金：supported by the National Science Foundation under award DMS-1225160,CCF-0726763,and CCF-0953590 the National Institutes of Health under award GM078989 

主　　题：insulin secretion mathematical modeling hybrid model and simulation stochastic dynamics 

摘      要：Insulin secreted by pancreatic islet ˇ-cells is the principal regulating hormone of glucose *** of insulin secretion may cause glucose to accumulate in the blood, and result in diabetes *** 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 KCchannels 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.