Hindmarsh-Rose Neuron And Its Chain Network Dynamics

Neurons are the basic unit of brain.The entry and exit of various ions inside and outside the neuron cell regulates the signal transmission of the neuron.The study of how the neurons realize the signal transmission in the complex environment is an important research topic in various fields of neuroscience at present,which is helpful for humans to further explore and develop the brain.There are many models for neuron research,but most models have limitations in describing neurons.Among many models,the Hindmarsh-Rose(HR)neuron model has been widely used by researchers because of its characteristics of facilitating bifurcation analysis.Based on the three-dimensional HR neuron model,this paper uses the research method of nonlinear dynamics to explore the dynamic behavior of the HR neuron model modified under electromagnetic radiation.In addition,the dynamic behavior of HR neuron model under electric field radiation is deduced.The synchronization of the two correction models under the chain neural network is studied.The following results have been achieved:According to the law of electromagnetic induction,the magnetron-controlled memristor is introduced,and the neuron exposed to electromagnetic radiation should be written as a four-dimensional HR neuron model equation set.The study found that in the bursting firing time interval,the energy consumption is relatively large.Under high-frequency current,the neuron membrane potential is chaotic and disordered,and the corresponding energy is also unstable.(2)According to Gauss's law in electric field,a new electric field variable can be used to describe the change of membrane potential caused by ion movement inside and outside the cell membrane.The model should be written as a four-dimensional electric field radiation HR neuron model.Excitability parameters should not be too large to prevent excessive negative feedback.Neuron firing has strong stability under low noise.Research has found that changing the frequency or intensity of the periodic external electric field will produce a multi-modal bursting firing mode.(3)For two HR neurons directly coupled via membrane potential under electromagnetic radiation,the appropriate coupling strength will synchronize the firing.Increase the stimulation current,and the synchronization will be greatly advanced.For the four-dimensional HR neuron model of electric field radiation,synchronization can also be achieved by applying the same periodic external electric field indirect coupling.The internal mechanism is that the same external electric field is equivalent to injecting energy into the system.For the HR neuron chain network under electromagnetic radiation,the negative feedback self-synaptic connection has stronger anti-interference ability.For electric field radiation,a four-dimensional HR neuron network model with positive feedback self-synaptic connections is used to gradually increase the strength of membrane potential coupling,and there is a delay and dislocation phenomenon in the process of signal propagation to both ends.The positive and negative effects of self-synaptic feedback have little effect on the synchronization of neuronal networks.