Dynamical Analysis Of Two Types Of Neuron Models

Pyramidal neurons are a type of neuron found in areas of the brain includingcerebral cortex, the hippocampus. Pyramidal neurons in many cortical areas firestereotyped bursts of action potentials termed complex spikes or complex bursts.Burst firing is thought to play an important role in reliable signaling and synapticplasticity. And its production involves complex physical and chemical processes.They are influenced by a large number of internal and external factors (such asvarious ions channel, depolarizing currents and membrane capacitance etc.).The cardiac ganglion for lobster model is often used as a research model ofsynaptic learning and memory with few number of neurons, larger axon diameter andexperiment easy to operate.The bifurcation patterns of neuronal firing sequences are also interested by manyliteratures. From the studying of two types of neuron models in the artical, a detailedanalysis of the complex bursting was made. By the discussion of the roles ofelectrophysiological parameters under different cases, the rich dynamical propertieswere obtained in the complex bursting of the cortical pyramidal neuron, the cardiacganglion for lobster model, such as the InterSpike Intervals(ISIs) have period addingbifurcation and period doubling bifurcation. From the two types of models’ results, wecan get a further understanding of the rich firing patterns and rhythm coding whichare contained in the complex burst firing of the cortical pyramidal neuron, the cardiacganglion for lobster model.In this paper, numerical simulation was conducted by MATLAB software andC++software, and data processing was conducted using ORIGIN software.Simulation results are reliable.