The Study Of Bursting Synchronizations Of Neurons In The Respiratory System

Respiratory movement is a basic activity for maintaining the life of individuals. The pre-Botzinger complex in ventrolateral medulla oblongata of human and other mammals is the center of respiratory rhythm. Within the pre-Botzinger complex, the rhythmic bursting of groups of inspiratory neurons is closely related to the respiratory rhythm generation.In this paper, the two-coupled neurons with excitatory synaptic coupling in the pre-Botzinger complex are researched. We study the bursting patterns and transition mechanisms in two different dynamic models respectively. The paper is divided into five parts. The first section is the introduction. The second section presents the basic knowledge and the research progress related with our subject. In the section three, we analyze the bursting based on persistent sodium current (INaP) in two-coupled neurons network with excitatory synaptic coupling. The synchronized bursting patterns and transition mechanisms for in-phase and anti-phase are investigated by both fast/slow decomposition and two-parameter bifurcation analysis. We also study the dynamic mechanisms of the bursting frequency which is in-phase synchronized. In the section four, we analyze the bursting based on persistent sodium current (INaP) and calcium-activated nonspecific cationic current (ICAN) in two-coupled cells network with excitatory synaptic coupling. By the study of synchronized bursting in somatic subsystem and dendritic subsystem of two-coupled neurons, the dynamic mechanisms of respiratory rhythm are analyzed more meticulously. The last section is the conclusion of this paper.This study shows that synchronizations play important roles in the transition mechanism of bursting patterns in two-coupled neurons. Bursting frequency and bursting dynamic range in the coupling neurons in the pre-Botzinger complex are important aspects in the research of respiratory rhythm. In this paper, the "slow variable region" play a key role in the study of these two aspects. On the one hand, the width of this region can be seen as an important standard for measuring the bursting frequency. On the other hand, the length of this region can be used to measure the dynamic range of both in-phase and anti-phase synchronized bursting in the coupling neurons. This work provides insights into the study of the respiratory rhythm.