论文标题
绿色的非平衡功能可用于大脑的功能连通性
Nonequilibrium Green's functions for functional connectivity in the brain
论文作者
论文摘要
描述大脑神经元之间的一系列相互作用的理论框架或功能连接性，应包括代表信号从一个神经元传播到另一个神经元的传播的动态功能。格林的功能和响应功能是自然的候选者，但是，尽管在概念上非常有用，但通常仅针对线性时间译本不变的系统定义。相反，大脑以时间依赖性的方式表现出非线性的行为。在这里，我们使用非平衡绿色的功能来描述连续变量神经元网络的时间依赖性功能连接性。我们展示了连接性与可测量响应函数的关系，并通过数值计算提供了两个说明性示例，灵感来自$ \ textit {c。秀丽隐杆线} $。
A theoretical framework describing the set of interactions between neurons in the brain, or functional connectivity, should include dynamical functions representing the propagation of signal from one neuron to another. Green's functions and response functions are natural candidates for this but, while they are conceptually very useful, they are usually defined only for linear time-translationally invariant systems. The brain, instead, behaves nonlinearly and in a time-dependent way. Here, we use nonequilibrium Green's functions to describe the time-dependent functional connectivity of a continuous-variable network of neurons. We show how the connectivity is related to the measurable response functions, and provide two illustrative examples via numerical calculations, inspired from $\textit{C. elegans}$.
