Gap junctions, dendrites and resonances: a recipe for tuning network dynamics.
Gap junctions, dendrites and resonances: a recipe for tuning network dynamics.
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DOI：
10.1186/2190-8567-3-15
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发表时间：
2013-08-14
影响因子：
2.3
通讯作者：
Michieletto D
中科院分区：
文献类型：
--
作者：
Timofeeva Y;Coombes S;Michieletto D
缝隙连接，也被称为电突触，在整个中枢神经系统中表达，在调节正常和病理状态下的各种大脑节律方面都发挥着重要作用。这些连接可以在单个细胞的树状突起之间形成。许多树突表达膜通道，赋予它们一种亚阈值共振动力学形式。为了深入了解缝隙结在调谐共振树状树状网络中的调制作用，我们推广了“行程总和”公式，用于计算单个分支树枝对缝隙连接耦合网络的响应函数。网络中的每个细胞都由一个胞体模拟，该胞体与带有共振膜的树突的任意结构相连。该网络被视为具有树枝-树枝缝隙连接耦合的单一扩展树形结构。我们根据定义在特殊的分支、体细胞和缝隙连接节点上的一组系数，给出了构建网络响应函数的广义“行程总和”规则。将此框架应用于两个单元的网络，我们在拉普拉斯(频率)域中构造了网络响应函数的紧致闭合形式解，并研究了每个SOMA中的首选频率如何依赖于缝隙结的位置和强度。
Gap junctions, also referred to as electrical synapses, are expressed along the entire central nervous system and are important in mediating various brain rhythms in both normal and pathological states. These connections can form between the dendritic trees of individual cells. Many dendrites express membrane channels that confer on them a form of sub-threshold resonant dynamics. To obtain insight into the modulatory role of gap junctions in tuning networks of resonant dendritic trees, we generalise the “sum-over-trips” formalism for calculating the response function of a single branching dendrite to a gap junctionally coupled network. Each cell in the network is modelled by a soma connected to an arbitrary structure of dendrites with resonant membrane. The network is treated as a single extended tree structure with dendro-dendritic gap junction coupling. We present the generalised “sum-over-trips” rules for constructing the network response function in terms of a set of coefficients defined at special branching, somatic and gap-junctional nodes. Applying this framework to a two-cell network, we construct compact closed form solutions for the network response function in the Laplace (frequency) domain and study how a preferred frequency in each soma depends on the location and strength of the gap junction.