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Neural Computation

July 1, 2005, Vol. 17, No. 7, Pages 1447-1455
(doi: 10.1162/0899766053723087)
© 2005 Massachusetts Institute of Technology
Categorization of Neural Excitability Using Threshold Models
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A classification of spiking neurons according to the transition from quiescence to periodic firing of action potentials is commonly used. Nonbursting neurons are classified into two types, type I and type II excitability. We use simple phenomenological spiking neuron models to derive a criterion for the determination of the neural excitability based on the after potential following a spike. The crucial characteristic is the existence for type II model of a positive overshoot, that is, a delayed after depolarization, during the recovery process of the membrane potential. Our prediction is numerically tested using well-known type I and type II models including the Connor, Walter, & McKown (1977) model and the Hodgkin-Huxley (1952) model.