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P. Cisek, T. Drew & J.F. Kalaska (Eds.) Progress in Brain Research, Vol. 165
 

Summary: P. Cisek, T. Drew & J.F. Kalaska (Eds.)
Progress in Brain Research, Vol. 165
ISSN 0079-6123
Copyright r 2007 Elsevier B.V. All rights reserved
CHAPTER 2
A simple growth model constructs critical avalanche
networks
L.F. Abbott1,√ and R. Rohrkemper2
1
Department of Physiology and Cellular Biophysics, Center for Neurobiology and Behavior, Columbia University College
of Physicians and Surgeons, New York, NY 10032-2695, USA
2
Physics Department, Institute of Neuroinformatics, Swiss Federal Institute of Technology, Zu®rich CH-8057,
Switzerland
Abstract: Neurons recorded from electrode arrays show a remarkable scaling property in their bursts of
spontaneous activity, referred to as ``avalanches'' (Beggs and Plenz, 2003, 2004). Such scaling suggests a
critical property in the coupling of these circuits. We show that similar scaling laws can arise in a simple
model for the growth of neuronal processes. In the model (Van Ooyen and Van Pelt, 1994, 1996), the spatial
range of the processes extending from each neuron is represented by a circle that grows or shrinks as a
function of the average intracellular calcium concentration. Neurons interact when the circles correspond-

  

Source: Abbott, Laurence - Center for Neurobiology and Behavior & Department of Physiology and Cellular Biophysics, Columbia University

 

Collections: Biology and Medicine