title: A basic bifurcation structure from bursting to spiking of injured nerve fibers in a two-dimensional parameter space.
abstract: Two different bifurcation scenarios of firing patterns with decreasing extracellular calcium concentrations were observed in identical sciatic nerve fibers of a chronic constriction injury (CCI) model when the extracellular 4-aminopyridine concentrations were fixed at two different levels. Both processes proceeded from period-1 bursting to period-1 spiking via complex or simple processes. Multiple typical experimental examples manifested dynamics closely matching those simulated in a recently proposed 4-dimensional model to describe the nonlinear dynamics of the CCI model, which included most cases of the bifurcation scenarios. As the extracellular 4-aminopyridine concentrations is increased, the structure of the bifurcation scenario becomes more complex. The results provide a basic framework for identifying the relationships between different neural firing patterns and different bifurcation scenarios and for revealing the complex nonlinear dynamics of neural firing patterns. The potential roles of the basic bifurcation structures in identifying the information process mechanism are discussed.
authors.affiliation: State Key Laboratory of Medical Neurobiology, Department of Physiology and Biophysics, School of Life Sciences and Collaborative Innovation Centre for Brain Science, Fudan University, Shanghai, 200438 People's Republic of China.
authors.forename: Bing
authors.initials: B
authors.lastname: Jia
authors.affiliation: School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092 People's Republic of China.
authors.forename: Huaguang
authors.initials: H
authors.lastname: Gu
authors.affiliation: State Key Laboratory of Medical Neurobiology, Department of Physiology and Biophysics, School of Life Sciences and Collaborative Innovation Centre for Brain Science, Fudan University, Shanghai, 200438 People's Republic of China.
authors.forename: Lei
authors.initials: L
authors.lastname: Xue
keywords: Bifurcation; Bursting; Chronic constriction injury model; Neural firing pattern; Spiking