首页> 外文期刊>IEEE Transactions on Neural Networks >Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical foundations of pulse-coupled models
【24h】

Class 1 neural excitability, conventional synapses, weakly connected networks, and mathematical foundations of pulse-coupled models

机译:1类神经兴奋性,常规突触,弱连接网络和脉冲耦合模型的数学基础

获取原文
获取原文并翻译 | 示例

摘要

Many scientists believe that all pulse-coupled neural networks are toy models that are far away from the biological reality. We show, however, that a huge class of biophysically detailed and biologically plausible neural-network models can be transformed into a canonical pulse-coupled form by a piece-wise continuous, possibly noninvertible, change of variables. Such transformations exist when a network satisfies a number of conditions; e,g., it is weakly connected; the neurons are Class 1 excitable (i.e., they can generate action potentials with an arbitrary small frequency); and the synapses between neurons are conventional (i.e., axo-dendritic and axe-somatic). Thus, the difference between studying the pulse-coupled model and Hodgkin-Huxley-type neural networks is just a matter of a coordinate change. Therefore, any piece of information about the pulse-coupled model is valuable since it tells something about all weakly connected networks of Class 1 neurons. For example, we show that the pulse-coupled network of identical neurons does not synchronize in-phase. This confirms Ermentrout's (1996) result that weakly connected Class 1 neurons are difficult to synchronize, regardless of the equations that describe dynamics of each cell.
机译:许多科学家认为,所有脉冲耦合神经网络都是玩具模型,与生物现实相去甚远。但是,我们显示,通过分段连续的,可能不可逆的变量变化,可以将一大类生物物理上详细且生物学上合理的神经网络模型转换为规范的脉冲耦合形式。当网络满足许多条件时,便存在这种转换。例如,它连接薄弱;神经元具有1类兴奋性(即它们可以产生任意小频率的动作电位);神经元之间的突触是常规的(即轴突-树突状和轴突-体突)。因此,研究脉冲耦合模型与霍奇金-赫克斯利型神经网络之间的差异只是坐标变化的问题。因此,关于脉冲耦合模型的任何信息都是有价值的,因为它可以告诉我们有关所有1类神经元的所有弱连接网络的信息。例如,我们显示相同神经元的脉冲耦合网络不​​同步。这证实了Ermentrout(1996)的结果,即弱连接的1类神经元难以同步,而不管描述每个细胞动力学的方程式如何。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号