Skip to main content
Research article - Peer-reviewed, 2007

Density dependent neurodynamics

Halnes G, Lijenstrom H, Arhern P


The dynamics of a neural network depends on density parameters at (at least) two different levels: the subcellular density of ion channels in single neurons, and the density of cells and synapses at a network level. For the Frankenhaeuser-Huxley (FH) neural model, the density of sodium (Na) and potassium (K) channels determines the behaviour of a single neuron when exposed to an external stimulus. The features of the onset of single neuron oscillations vary qualitatively among different regions in the channel density plane. At a network level, the density of neurons is reflected in the global connectivity. We study the relation between the two density levels in a network of oscillatory FH neurons, by qualitatively distinguishing between three regions, where the mean network activity is (1) spiking, (2) oscillating with enveloped frequencies, and (3) bursting, respectively. We demonstrate that the global activity can be shifted between regions by changing either the density of ion channels at the subcellular level, or the connectivity at the network level, suggesting that different underlying mechanisms can explain similar global phenomena. Finally, we model a possible effect of anaesthesia by blocking specific inhibitory ion channels. (C) 2006 Elsevier Ireland Ltd. All rights reserved


Neural network; Ion channels; Bifurcations; Neurodynamics; Anaesthesia

Published in

2007, volume: 89, number: 1-3, pages: 126-134

Authors' information

Halnes, Geir
Swedish University of Agricultural Sciences, Department of Energy and Technology
Swedish University of Agricultural Sciences, Department of Energy and Technology
Århem, Peter

UKÄ Subject classification

Animal and Dairy Science
Veterinary Science

Publication Identifiers


URI (permanent link to this page)