| The brain is one of the most important and complicated organs in the organism in nature,and it is the biological basis for mammals to carry out various physiological and psychological activities.Take the human brain as an example,which contains about 100 billion neurons and 10~144 synapses.The neural system composed of these neuronal cells is the basis for the realization of brain functions.Studies have shown that the synchronous behavior of the neural system is an important mechanism for brain function integration and related diseases of the neural system,and there are many factors that affect the dynamics of the synchronize in neural system.This article mainly studied the effect of electromagnetic radiation on the synchronous behavior of the neural system.In neuronal cells,any small spatial changes in charged ions may cause a weak and complex electromagnetic field in the cell,and the influence of this electromagnetic field on the neural system is not negligible.Therefore,it is very important to study the influence of electromagnetic radiation induced by ion exchange between neurons on the neural system.In this paper,the classical neuron model was improved by introducing the magnetic flux variable using the cubic flux-controlled memristor model to characterize the electromagnetic radiation generated by the flow of ions in the neuron cells inside and outside the membrane.While studying the effect of electromagnetic radiation in the system on its synchronous dynamic behavior,the article also considered the effects of electromagnetic radiation of different degrees in the external environment on the synchronous dynamic behavior of the neural system.In order to study the effect of electromagnetic radiation on the synchronous behavior of different regions of the neural system,an indirect coupled network composed of several sub-networks was constructed in this paper.The study found that,on the one hand,proper chemical coupling strength could effectively adjust the synchronous behavior of the network without considering electromagnetic radiation.On the other hand,the electromagnetic field generated by the movement of charges in the membrane channels of neurons could cause the indirect coupling network to generate rich discharge modes(such as chaotic discharge,square-wave bursting state and plateau-bursting state)and synchronous behaviors(such as chaotic state,chimera state and burst synchronization).In addition,this article also discussed the effects of electromagnetic radiation from the external environment of the system.The simulation results found that proper external electromagnetic radiation could effectively adjust the dynamic behavior of the neural network,and even allowed the network to achieve a fully synchronized state.This work has been published in‘Nonlinear Dynamics’.Secondly,Based on the connectivity matrix given by the experimental data of the cat’s cerebral cortex,we considered a network with local dynamics given by the Hindmarsh-Rose model,and studied the influence of electromagnetic radiation on the synchronous behavior of the network.The cat’s cerebral cortex has a total of 65cortical regions,which can be divided into 4 cognitive regions:visual,auditory,somatosensory-motor,and frontolimbic.Due to the unidirectional connectivity of the connection matrix,the network choosed chemical synaptic coupling.We considered three cases:one was that electromagnetic radiation was not considered,the second was to introduce electromagnetic radiation into the entire neural network,and the third was to introduce electromagnetic radiation of a certain intensity into four different cognitive regions in sequence.The simulation results showed that no matter which region the electromagnetic radiation was introduced into,it had a good promotion effect on the synchronous behavior of this region,but had no obvious effect on other regions.The simulation results of this part are being collated and ready for submission.The results showed that the complex electromagnetic induction inside and outside the neural network played an important role in regulating the synchronous behavior of the neural network,and the effects of different intensities and kinds of electromagnetic radiation on the neural network were also different.This study may provide useful clues for further understanding the pathogenesis of epilepsy,parkinson and other diseases related to synchronous behavior of the neural system and further inhibiting the occurrence of related diseases.In addition,during my graduate studies,I had participated in the study of the synchronous behavior of the memristive synaptic coupling system.Simulation found that memristor can well simulate the performance of biological nerve synapse connection,and confirmed the plasticity of memristive synapses.This work has been published in‘Nonlinear Dynamics’.Next,the influence of memristive synapses on the dynamic behavior of the double-layer memristive neural network was investigated.The simulation found that the chimera state appeared in the network,and the spatial and temporal evolution of the chimera state was discussed.This work has also been published in‘Nonlinear Dynamics’. |
