2011/05/26 by L. S. Borkowski, Borkowski, L. S.
Biochemistry, Genetics and Molecular Biology · Engineering · Neuroscience · Physics and Astronomy · #Advanced Memory and Neural Computing #Biological Physics (physics.bio-ph) #FOS: Biological sciences #FOS: Physical sciences #Neural dynamics and brain function #Neurons and Cognition (q-bio.NC) #physics.bio-ph #q-bio.NC #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1105.5376
25 pages, 17 figures
openalex publication_date 2011/05/26 · arxiv created 2013/05/17 · arxiv updated 2013/05/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
We study the response of the Hodgkin-Huxley neuron stimulated periodically by biphasic rectangular current pulses. The optimal response for charge-balanced input is obtained for cathodic-first pulses with an inter-phase gap (IPG) approximately equal 5 ms. For short pulses the topology of the global bifurcation diagram in the period-amplitude plane is approximately invariant with respect to the pulse polarity and shape details. If stimuli are delivered at neuron's resonant frequencies the firing rate is a continuous function of pulse amplitude. At nonresonant frequencies the quiescent state and the firing state coexist over a range of amplitude values and the transition to excitability is a discontinuous one. There is a multimodal odd-all transition between the 2:1 and 3:1 locked-in states. A strong antiresonant effect is found between the states 3:1 and 4:1, where the modes (2+3n):1, n=0,1,2,..., are entirely absent. At high frequencies the excitation threshold is a nonmonotonic function of the stimulus and the perithreshold region is bistable, with the quiescent state coexisting with either a regular or chaotic firing.