Two models for coupled pancreatic β cells are used to investigate excited wave propagation in spatially inhomogeneous islets of Langerhans. The application concerns spatial variation of glucose concentration across the islet. A comprehensive model of coupled cells shows that wave blocking occurs as the conductance of adenosine triphosphate regulated potassium channels increases, corresponding to spatially decreasing glucose concentration. A simplified model based on a perturbed version of Fisher’s equation has been investigated using perturbation theory. We show that the perturbed Fisher’s equation likewise can exhibit wave blocking.

中文翻译：

---

由阈值梯度引起的波块是胰岛中有限协调的基础

耦合胰腺 β 细胞的两种模型用于研究朗格汉斯空间不均匀胰岛中的激发波传播。该应用涉及跨胰岛的葡萄糖浓度的空间变化。耦合细胞的综合模型显示，随着三磷酸腺苷调节的钾通道的电导增加，对应于葡萄糖浓度在空间上的降低，会发生波阻滞。已经使用扰动理论研究了基于费雪方程的扰动版本的简化模型。我们表明，扰动的 Fisher 方程同样可以表现出波阻塞。