Bifurcation analysis and synchronization of dopaminergic neuron model
To study the dynamic properties of dopaminergic neuron model and know more about the abnormal bursting behavior mediated by small conductance calcium activated potassium channel blocking in the model,the model dimension was reduced by using variable correlation,and a four-dimensional dopaminergic neuron model and a coupling system of two neuron with electrical synapse and chemical synapse were constructed.The dynamical properties of the model and the discharge characteristics and the conditions for the system to realize the synchronization were analyzed by bifurcation theory and numerical calculation method.The results show that under different parameter combinations,the model all has the dynamic phenomenon of the transition from adding periodic bifurcation to chaotic state.There is a bifurcation phenomenon of the inverse adding period in the electrical coupling system.Under certain stimulation current,the coupling strength can be changed to induce the electrical coupling system to reach bursting synchronization or resting synchronization state.The chemical coupling system has complex mixed oscillation phenomenon.Under certain coupling strength,the chemical coupling system can be induced to fully synchronization by strong stimulation current or large synaptic reversal potential.The synchronization state of dopaminergic neuronal coupling system is affected not only by coupling strength,but also by stimulation current and model parameters.
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