Fast and Slow Subsystems for a Continuum Model of Bursting Activity in the Pancreatic Islet
Fast and Slow Subsystems for a Continuum Model of Bursting Activity in the Pancreatic Islet
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胰岛爆发活动连续体模型的快速和慢速子系统
DOI：
10.1137/s0036139996304585
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发表时间：
1998
期刊：
影响因子：
--
通讯作者：
M. Pernarowski
中科院分区：
文献类型：
--
作者：
M. Pernarowski
介绍了单个胰腺细胞爆发电活动的一个简单模型。使用该模型，然后使用渐近方法、线性稳定性技术和单调方法分析大量此类细胞的集合（胰岛）的连续体模型。当耦合强度D较大时，如果用慢变量的空间平均值代替慢变量，则连续统模型的快、慢子系统与单单元模型的快、慢子系统是相同的。证明了快变量可以同步，而慢变量同时表现出非同步行为。最后，慢子系统参数的空间不均匀性会使胰岛失活。结果表明，如果有足够比例的细胞处于非活性状态，则慢变量的平均值可以显著降低。
A simple model for the bursting electrical activity of individual pancreatic $\beta$-cells is introduced. Using the model, a continuum model for collections (islets) of large numbers of such cells is then analyzed, using asymptotic methods, linear stability techniques, and monotone methods. When the coupling strength D is large, fast and slow subsystems for the continuum model are shown to be the same as those for the single cell if the slow variables are replaced by their spatial average. It is demonstrated that fast variables can synchronize while the slow variables simultaneously exhibit nonsynchronous behavior. Last, spatial inhomogeneities in slow subsystem parameters are shown to inactivate the islet. It is demonstrated that if a sufficient fraction of cells are inactive, the average value of the slow variables can be decreased significantly.
新鲜分散的小鼠胰腺β细胞对之间间隙连接的生物物理特性。
影响因子：
3.4
作者：
Perez-Armendariz,M;Roy,C;Spray,DC;Bennett,MV
通讯作者：
Bennett,MV