一个关于胰岛素分泌调节的模型

A Mathematical Model for the Secretion of Insulin

关于胰岛素分泌的调节控制,过去有人提出过简单模型,但由于过于简单和没有充分考虑一些重要的影响因素,很难说明问题。本文考虑了葡萄糖(其血浆浓度用 g 表示)、胰岛素(h)和胰高血糖素(u)三者存在相互作用以及胰岛中氨基酸(a)和脂肪酸(l)与它们之间的相互影响。提出一个葡萄糖、胰岛素和胰高血糖素三者变化规律的模型。推知它们存在振荡现象,而且一些理论值与实验值基本相符。

The mathematical models of the secretion of insulin ever appeared are all not so good to account for the characteristics of this hormone.We take into account the in- teractions between glucose,insulin and glucagon and set up a new model.This model bas a limit cycle solution and can well account for the oscillatory behavior of these hor- mones,Many deductioms from this model also agree well with the experimental facts.