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Classification and Analysis of Bursting Response of Neurons

N. Aslam and A.K. Sunol
University of South Florida, US

Keywords:
bursting, information processing, neurons

Abstract:
The information processing in brain and neural systems of living bodies is significantly influenced by bursting. The bursting behavior is characterized by alteration of system activity from a stable equilibrium or resting state to an active state. A reasonable mathematical model to represent the information flow in a pair of neurons is needed. We have applied bifurcation theory to analyze the brusting mappings and patterns in various ode based neuron models. The bifurcation diagrams depicting the different types of bursting behaviors are developed. Parameter sensitivities of neuron models and their respective influence on membrane potentials leads to different type of bifurcation behaviors in burst mappings. We are also able to identify the limit cycles and Hopf bifurcation points on bifurcation diagrams through systematic variation of model parameters. Different type of bursting behavior leads to different mechanism of processing information. We have also investigated the variations in bursting response when burst generator is under the influence of an external stimulus.

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