SINGLE NEURON WITH RECURRENT EXCITATION - EFFECT OF THE TRANSMISSION DELAY

Citation
K. Pakdaman et al., SINGLE NEURON WITH RECURRENT EXCITATION - EFFECT OF THE TRANSMISSION DELAY, Neural networks, 9(5), 1996, pp. 797-818
Citations number
42
Categorie Soggetti
Mathematical Methods, Biology & Medicine","Computer Sciences, Special Topics","Computer Science Artificial Intelligence",Neurosciences,"Physics, Applied
Journal title
ISSN journal
08936080
Volume
9
Issue
5
Year of publication
1996
Pages
797 - 818
Database
ISI
SICI code
0893-6080(1996)9:5<797:SNWRE->2.0.ZU;2-R
Abstract
Recurrent excitatory circuits and the positive feedback they imply are assigned important roles in a variety of tasks in living organisms. S uch networks obviously do not exhibit saturated behaviour in the sense of extremely fast rates and/or insensitivity to input variations, as artificial systems with positive feedback generally do. It is therefor e important to identify how neural saturation is avoided. A single neu ron that excites itself directly provides the simplest anatomical circ uitry where this problem can be studied. Such a system was simulated e xperimentally by Diez-Martinez and Segundo using the pacemaker neuron in the crayfish stretch receptor organ. They showed that the feedback transmission time, called ''delay'', was strongly influential, and sma ll changes led to markedly different outcomes. As the delay was increa sed the discharge patterns went from pacemaker spike trains to multipl ets separated by silent intervals to still longer bursts and longer si lent intervals. We hypothesized that neuronal sensitivity decreased al ong the rapid successive firings (adaptation) and prevented saturation and therefore played an important role in the observed behaviour. Thi s hypothesis was tested using models of increasing complexity. The sim plest model was an integrate and fire neuron without adaptation to rep eated stimuli, in this case the dynamics were qualitatively different from the experimental data. The other models exhibited adaptation to r epeated stimuli. Two were relatively simple: an integrate and fire and a leaky integrator. The last model was more complex, it included memb rane conductances. Neither of these models exhibited saturation when r ecurrent excitation was introduced. Their dynamics were in fact simila r to those in the crayfish preparation, both exhibiting pacemaker firi ng for short delays, and multiplets or burst for intermediate delays. Simulations were therefore compatible with the hypothesis that neurona l adaptation is important in preventing saturation. Copyright (C) 1996 Elsevier Science Ltd