The Complexity in Activity of Biological Neurons
发布时间：2025-04-30
点击次数：
- 发布时间：
- 2025-04-30
- 论文名称：
- The Complexity in Activity of Biological Neurons
- 发表刊物：
- Springer Book
- 摘要：
- The mammalian nervous system is a complex adaptive system, which is composed of a large number of neurons. In fact, a neuron can be considered to be a rather complicated nonlinear dynamical system. There are many neuron models presented for different kinds of neurons. For example, the HR model of neuronal activity is aimed to study the spiking-bursting behavior of the membrane potential of cortical neurons, and the Traub model [130] is used to characterize a CA3 hippocampal pyramidal neuron. A rich variety of dynamical behavior occurs in these neuron models, such as periodic spiking, chaotic spiking, periodic bursting and chaotic bursting. It is this point that asks us to apply the nonlinear systems theory to the investigation on the firing behavior of neuron models. And the methods or theories in nonlinear dynamics can be helpful to understand the neuronal firing patterns and the mechanisms underlying neural information encoding. Meanwhile, the complicated phenomena observed in neurophysiological experiments provide strong motivation for the development of nonlinear systems theory. Actually, the naissance of neurodynamics is just a perfect combination between neuroscience and nonlinear dynamics.
Up to now, it is very important and significant to establish corresponding mathematical models for special neurons including one-compartment model and multi-compartment model. Therefore, the numerical or theoretical investigation on new neuron models or existing neuron models with complex behavior remains very interesting, and bifurcation and chaos occurring in these models are still hot topics. As for noise in nervous systems, its role is waiting for more confirmation. As we know, the neural information transmission happens at the synapses between neurons. The collective behavior of neuronal population, therefore, should be studied from the viewpoint of coupled neuronal networks including electrical and chemical coupling. In addition, the transitory process in nervous systems deserves more attention.
- 合写作者：
- Yong Xie and Jian-Xue Xu
- 卷号：
- Chapter 6
- 是否译文：
- 否
- 发表时间：
- 2009-09-15