| As a basic unit of the structure and function of the nervous system,a neuron generates,change and transmit bioelectrical signals in the form of ion transmembrane transport.It is of great significance to study the mechanism of neuron firing activities.Establishment and extensive study of various neuron models reveal the temporal rhythms and oscillating patterns of nervous firing activities in neural information coding.These studies provide a basic theory for both the intervention of clincal neural signals and the establishment of artificial neural network.At present,a series of well-known neuron models has been constructed,especially the models of neuron ion channels.These play an important role in describing the dynamic changes of ion exchange in a neuron.However,the research focuses on the periodical stimulation is an open question,both for the traditional models and generalized non-smooth models which are widely used in artificial neural network.In addition to the description of intracellular ion channels,the detection the activities of a neuron as well as its morphologies are important.Most of the current research is based on fluorescence labeling technique,which requires high operation and cost.Besides,fluorescence has a certain influence on the activity of samples.The problem of detecting and characterizing the activities of neuron without damage and labeling has always been one of the hot issues.Based on the IP3-Ca2+oscillation model,the dynamical behaviors of calcium channel are studied in this paper.Based on the background of periodic stimulation in clinical applications,the dynamical behavior of the system under its modulation is studied.The fast-slow dynamical bifurcation analysis is used to study the relationship between the firing activities of nervous system and the calcium ion concentration,revealing the complex mechanism of calcium oscillation and the transition process of different states.At the same time,based on the model,the modulation of amplitude on dynamics under different parameters is studied.Aiming at the difficulty of traditional ion channel dynamical models in artificial neural network applications,a piecewise linear model is proposed based on the Hindmarsh-Rose model.The numerical simulations indicate the similarity of the approximate model to the prototype.Based on the piece-wise linear model,the non-smooth bifurcation of the system under the modulation of periodic stimulation is analyzed.The mechanism of periodic bursting is explained.The modulation of the system by different parameters is given.The difference of the Evolution mechanism between different oscillation models is pointed out.On the basis of the dynamical characteristics of ion channels,the modulation of intracellular ion concentration on the refractive index of cell bodies is considered.Based on the mechanism of optical phase imaging,the dynamic activity of a neuronal model is detected from the perspective of optical phase.The phase model of neuron is established by Virtual Lab optical simulation software.Considering the complex sub-structure of neuron,starting from the activity characteristics of different sub-structures in the firing activities of neurons,we find an idea of heterogeneous contrast compensation.By this method,the transient morphological information of the sub-structure and the phase characterization of the dynamic firing activity can be obtained without decoupling.It provides a new idea for morphological recognition of neuronal firing activities. |
