摘要
簇放电是在胰岛分泌胰岛素时主要的放电模式.考虑具有代表性且较为简单的Sherman模型,对以下问题进行了研究:首先,应用快慢动力学分析研究了锥形和方波形簇放电模式的动力学性质;其次,利用常微分方程的定性与分岔理论的知识,探讨了与静息状态和放电状态相关的分岔点的性质,主要分析了平衡点的Hopf分岔;最后,研究了2个相互电耦合簇放电的胰腺β细胞之间的同步性转变.数值结果表明:改变耦合强度和慢时间常数都可以引起复杂的同步状态转迁变化.一个有趣的发现是,只要耦合强度适当,耦合β细胞总是可以达到完全同步状态.
Bursting is main discharge pattern of insulin secretion in pancreatic islets. With a simple but representative Sherman model,first,fast-slow dynamics analysis is used to research the dynamical properties of＂tapered＂and＂square-wave＂bursting patterns. Additionally,based on the qualitative and bifurcation theory of ordinary differential equations,the characteristics of bifurcation points related to silent state and active state are discussed,and the Hopf bifurcation of equilibrium points is analyzed. Finally,the paper is focused on synchronized transitions of two bursting pancreatic β cells reciprocally coupled by electrical coupling. Numerical results reveal that propagations of synchronous states can be induced not only by changing the coupling strength,but also by varying the slow time constant.More interestingly,it is found that the coupled β cells can always realize complete synchronization as long as the coupling strength is appropriate.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2017年第1期6-14,共9页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
国家自然科学基金(11172103和11572127)资助项目
