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Dynamic Analysis Of Neuron Under Different External Forces

Posted on:2019-09-19Degree:MasterType:Thesis
Country:ChinaCandidate:C Y HuFull Text:PDF
GTID:2370330545956480Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Synchronous firing of neurons is a common phenomenon in the biological nervous system,and synchronous discharge plays a key role in the neural information process.In the whole neuronal system,the process of processing,coding,integrating and transferring information between neurons must be carried out through coupling and synchronization among multiple neurons,so synchronization plays an important role in the transmission of information in neural networks.Its synchronization is also affected by many factors,including the dynamics of a single neuron,the coupling strength between neurons,the type of synapses connected,the topology of the network,and so on.Physiological experiments show that the visual cortex of cats and the brain records of sober monkeys can be observed.At the same time,neuroscientists found that synchronous excitability of neurons may lead to Parkinson's disease.This discovery has changed people's understanding of Parkinson's disease.The synchronization problem of the neuron coupling system also plays a vital role in the study of brain processing information.It is visible that synchronization of the neuron system is in neurophysiology.There is an important significance in the study.Based on HH neuron and Chay neuron,the discharge phenomena of single neuron under different current stimulation were analyzed firstly,and then the models of HH neuron and Chay neuron coupled by electric synapse and chemical synapse,respectively.The effect of coupling strength on synchronous cooperative behavior under constant and non-identical conditions is studied.For two neurons with constant coupling,with the increase of coupling strength,the system will eventually reach the state of complete synchronization.No matter what state the coupled neuron is in,the system generally changes from an asynchronous state to an approximate synchronization state with the increase of coupling strength.The state of intermittent synchronization is most likely to be approximately synchronous when both neurons are in a resting state.Then,the effect of noise intensity and coupling intensity on the synchronous kinetics of HH neurons coupled with non-constant electric synapse and chemical synaptic coupling is studied,and the effects of the two neurons are different when they are in different states.The above results are helpful to reveal the pathogenesis of some neurological diseases and provide some theoretical support for the prevention and treatment of these neurological diseases.It has certain guiding significance in clinical application.
Keywords/Search Tags:Synchronous cooperative behavior, Electrical synapses, Chemical synapses, Coupling intensity, Noise
PDF Full Text Request
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