Dynamic Analysis Of Single And Coupled Pre-B(?)tzinger Complex Neuron Under External Stimulation

The generation of respiratory rhythms in newborn mammals is closely related to the rhythmic firing of neurons in the pre-B（?）tzinger complex.Firing behaviour is a complicated nonlinear phenomenon in neural system that appears as a variety of patterns.Mixed bursting is one type of experimentally observed firing pattern whose generation involves complex dynamical mechanisms.Mixed bursting is significantly associated with respiratory rhythms and even pathological respiratory rhythms,it is essential to understand the rhythmic patterns and their transitions in individual neurons and neuronal networks under the control of parametric stimulation.The framework of this paper is as follows:in the first part,we introduce the background knowledge in research background and relevant background knowledge;in the second part,we discuss the effects of magnetic flow and direct current on mixed bursting patterns in a single pre-B（?）tzinger complex neuron,respectively.By fast-slow decomposition and two-parameter bifurcation analysis,we investigate the dynamic mechanisms of magnetic flow and direct current on the generation and transition of mixed bursting;in the third section,we analyses the effects that the introduction of magnetic flow on expiratory and inspiratory neurons in the respiratory system,under the key features that preserve the stable performance of the respiratory central pattern generator（CPG）;in the fourth section,we provide conclusions and perspectives.In this study,we investigate the rhythmic transitions in the pre-B（?）tzinger complex under the influence of magnetic flow in individual and network systems respectively,and reveal the mechanisms of rhythmic transitions from a dynamical perspective.The results of this paper show that the introduction of magnetic flow and direct current has an essential role in regulating the bursting pattern of neurons.Different from the monotonic increase or decrease in the number of somatic bursting,the results show the variety of rhythmic patterns.Furthermore,the feedback coefficientk₀ of the magnetic flow has a significant influence on the period,inspiratory durations and expiratory durations of the network.There is a similar effect on the respiratory rhythm in the network when the effect of magnetic flow is considered in the respiratory CPG network.The results of this study can help to reveal and explain the dynamic mechanisms underlying the complex rhythmic patterns in respiratory rhythm,and provide a beneficial reference for the study of complex respiratory rhythms.