MINIMAL MODEL FOR MEMBRANE OSCILLATIONS IN THE PANCREATIC f-CELL

TERESA REE CHAY

ABSTRACT      Following the experimental findings of Atwater et al. (In Biochemistry Biophysics of the Pancreatic-(3-Cell, George Thieme Verlag, New York, 100- 107), we have formulated a mathematical model for ionic and electrical events that take place in pancreatic . Our formulation incorporates a Hodgkin-Huxley type gating mechanism for Ca2 and K+ channels, in addition to Ca2 gated K+-channels. Consistent with the experimental observations, our model generates spikes and bursts in (-cell membrane potentials and gives the correct responses to additions of glucose, quinine, and tetraethylammonium ions. The response of the oscillations to ouabain and changing concentrations of external K+ can be incorporated into the present model, although a more complete treatment would require inclusion of the Na+/K+ pump.

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摘要 以下是 Atwater 等人的实验结果。 （胰腺生物化学生物物理学 George ThiemeVerlag，纽约，100- 107) 我们已经为发生在胰腺(3 个细胞)中的离子和电事件建立了一个数学模型。我们的配方结合了霍奇金-赫胥黎式的门控机制的通道，除了门控的通道，与实验观察一致，我们的模型在细胞膜电位中产生峰值和脉冲，并对葡萄糖、奎宁和四乙胺离子的加入给出正确的响应。振荡对哇巴因的响应和外部浓度的变化可以纳入目前的模型，尽管更完整的处理需要包括钠钾泵。

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