Neuron Dynamics of Single-Compartment Traub Model for Hardware Implementations

In this work we make a bifurcation analysis for a
single compartment representation of Traub model, one of the most
important conductance-based models. The analysis focus in two
principal parameters: current and leakage conductance. Study of
stable and unstable solutions are explored; also Hop-bifurcation and
frequency interpretation when current varies is examined. This study
allows having control of neuron dynamics and neuron response when
these parameters change. Analysis like this is particularly important
for several applications such as: tuning parameters in learning
process, neuron excitability tests, measure bursting properties of the
neuron, etc. Finally, a hardware implementation results were
developed to corroborate these results.

Authors:

• J. C. Moctezuma
• V. Breña-Medina
• Jose Luis Nunez-Yanez and Joseph P. McGeehan

Keywords:

• Traub model
• Pinsky-Rinzel model
• Hopf bifurcation
• single-compartment models
• Bifurcation analysis
• neuron modeling.

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