Abstract
Pre-Bötzinger complex (PBC) neurons located in mammalian brain are the necessary conditions to produce respiratory rhythm, which has been widely verified experimentally and numerically. At present, one of the two different types of bursting mechanisms found in PBC mainly depends on the calcium-activated of non-specific cation current (ICaN). In order to study the influence of ICaN and stimulus current Iexc in PBC inspiratory neurons, a single compartment model was simplified, and firing patterns of the model was discussed by using stability theory, bifurcation analysis, fast, and slow decomposition technology combined with numerical simulation. Under the stimulation of different somatic applied currents, the firing behavior of neurons are studied and exhibit multiple mix bursting patterns, which is helpful to further understand the mechanism of respiratory rhythms of PBC neurons.
Highlights
In mammals, breathing is a continuous rhythmic behavior, which can be carried out autonomously and rhythmically
Duan et al (2012) and Wang et al (2018) investigated the mixed bursting in a single compartment Pre-Bötzinger complex (PBC), and the results showed that the TB model could show various types of mixed bursting in the same period
A single-compartment PBC neuron model is obtained by simplifying TB model, and Based on this model, the effects of different calcium-activated non-specific cation current (ICaN ) and external stimulus current (Iexc) on membrane potential are investigated
Summary
In mammals, breathing is a continuous rhythmic behavior, which can be carried out autonomously and rhythmically. When Iexc = 17 and gcantot = 0.2416, the equilibrium point curve is S-shaped, the lower branch corresponds to the resting state, jumps to the upper branch through the fold bifurcation F1, the motion trajectory generates damped oscillation near the stable focus, passes through the Hopf bifurcation (h = 0.2637), and the final firing state is transferred to the resting state through the homoclinic orbit bifurcation of the limit cycle with the decrease of the slow variable h, and the final firing is finished This kind of firing mode is Hopf/homoclinic bursting
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