• We show through dynamical analysis that the neuron in pre-Bötzinger complexcan exhibit multiple mixed bursting patterns. • Mechanisms of the mixed bursting patterns are revealed. • Influences of certain parameters on the mixed bursting are explored. Bursting activities of certain neurons in the pre-Bötzinger complex (pre-BötC) of the mammalian brainstem have been extensively studied both experimentally and computationally due to their relationship with the inspiratory phase of respiration. Investigations shown that both the persistent sodium current ( I NaP ) and the intracellular Ca 2 + actived nonspecific cation ( I CAN ) can drive the bursting in the pre-BötC. The two mechanisms can act separately or jointly. Bursting evoked by the joint action of the two mechanisms is often called the somato-dendritic bursting. One special somato-dendritic bursting observed experimentally is the so called mixed bursting (MB) characterized by combining two or more different types of short bursts within each cycle of a periodic bursting solution. In this paper, we explore MB solutions in a single-compartment model of a pre-BötC inspiratory neuron. We show that the system can exhibit multiple patterns of MB that containing two or three different types of bursts in one periodic cycle. Using the methods of fast-slow decomposition and bifurcation analysis , we study the dynamical mechanisms underlying those MB, and investigate how the sodium conductance ( g Na ) and the potassium conductance ( g K ) affect MB patterns of the pre-BötC. Furthermore, we also elucidate the effect of parameters g K and g L on the number of somatic bursts in an MB solution.
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