Mathematical model of the glucose-insulin regulatory system: From the bursting electrical activity in pancreatic beta-cells to the glucose dynamics in the whole body

作者：Han Kyungreem; Kang Hyuk; Choi M Y^*; Kim Jinwoong; Lee Myung Shik

来源：Physics Letters A, 2012, 376(45): 3150-3157.

DOI：10.1016/j.physleta.2012.08.006

• Mathematical model
• Numerical simulation
• Emergent property
• Glucose-insulin regulatory system
• Pancreatic beta-cell function
• Insulin resistance

A theoretical approach to the glucose-insulin regulatory system is presented. By means of integrated mathematical modeling and extensive numerical simulations, we probe the cell-level dynamics of the membrane potential, intracellular Ca2+ concentration, and insulin secretion in pancreatic beta-cells, together with the whole-body level glucose-insulin dynamics in the liver, brain, muscle, and adipose tissues. In particular, the three oscillatory modes of insulin secretion are reproduced successfully. Such comprehensive mathematical modeling may provide a theoretical basis for the simultaneous assessment of the beta-cell function and insulin resistance in clinical examination.

• 出版日期2012-10-1