| Respiratory movement is a complex, dynamical and rhythmic activity that related to some important health issues. Understanding the dynamics of firing patterns of single neuron within the respiratory system will contribute to the analyzing of dynamics of the network, and especially to the investigation of abnormal rhythm in the respiratory system.The pre-Botzinger complex in rostral ventrolateral medulla of mammals plays a crucial role in the generation of respiratory rhythms. Groups of neurons within the pre-Botzinger complex exhibit rhythmic bursting, which is closely related to the respiratory rhythm. Studying on rhythmic bursting of neuron within the pre-Botzinger complex is important for understanding the generation of respiratory rhythm.It was observed that potassium and sodium ions have effects on the generation of respiratory rhythm. This thesis examines excitatory neurons in the pre-Botzinger complex. Based on the first recurrence map (Poincare map) and fast-slow decomposition, influences of potassium and sodium conductance on the transition of neuronal firing patterns are investigated. The thesis is divided into four sections. In the first section, basic knowledge and progress relevant to this program are introduced. In Section2, by constructing and analyzing the first recurrence map for the slow variable with different parameters, the transition mechanism between bursting and spiking under different potassium values are investigated. In Section3, the first recurrence maps for the slow variable under different sodium conductance are derived. The relationship between the first return map and the bursting patters are examined, and the transition mechanisms between different bursting patterns are revealed. The analytical and numerical results of the map are presented for the different bursting patterns. Conclusion and prospects are given in the last Section.The results in this paper have theoretical significance in the study of the abnormal respiratory rhythm. |
PDF Full Text Request