Wierschem Keola, Bertram Richard
Department of Mathematics, Florida State University, Tallahassee, FL 32306, USA.
J Theor Biol. 2004 Jun 21;228(4):513-21. doi: 10.1016/j.jtbi.2004.02.022.
The electrical activity of insulin-secreting pancreatic islets of Langerhans is characterized by bursts of action potentials. Most often this bursting is periodic, but in some cases it is modulated by an underlying slower rhythm. We suggest that the modulatory rhythm for this complex bursting pattern is due to oscillations in glycolysis, while the bursting itself is generated by some other slow process. To demonstrate this hypothesis, we couple a minimal model of glycolytic oscillations to a minimal model for activity-dependent bursting in islets. We show that the combined model can reproduce several complex bursting patterns from mouse islets published in the literature, and we illustrate how these complex oscillations are produced through the use of a fast/slow analysis.
分泌胰岛素的胰岛朗格汉斯细胞的电活动以动作电位的爆发为特征。这种爆发大多是周期性的,但在某些情况下会受到潜在较慢节律的调节。我们认为,这种复杂爆发模式的调节节律是由于糖酵解的振荡,而爆发本身是由其他一些缓慢过程产生的。为了验证这一假设,我们将糖酵解振荡的最小模型与胰岛中活动依赖性爆发的最小模型相结合。我们表明,该组合模型可以重现文献中发表的几种来自小鼠胰岛的复杂爆发模式,并通过快速/慢速分析来说明这些复杂振荡是如何产生的。