Loxley, Peter

Robinson, P A

2007

Spike-rate adaptation is investigated within a mean-field model of brain activity. Two different mechanisms of negative feedback are considered; one involving modulation of the mean firing threshold, and the other, modulation of the mean synaptic strength. Adaptation to a constant stimulus is shown to take place for both mechanisms, and limit-cycle oscillations in the firing rate corresponding to bursts of neuronal activity are investigated. These oscillations are found to result from a Hopf bifurcation when the equilibrium lies between the local maximum and local minimum of a given nullcline. Oscillations with amplitudes significantly below the maximum firing rate are found over a narrow range of possible equilibriums.

Biological Cybernetics, 97(2), p. 113-122

1432-0770

0340-1200

https://hdl.handle.net/1959.11/21192

Springer

Spike-rate adaptation and neuronal bursting in a mean-field model of brain activity

Journal Article

Publication