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Fractals, Vol. 7, No. 1 (1999) 93103 c World Scientific Publishing Company
 

Summary: Fractals, Vol. 7, No. 1 (1999) 93103
c World Scientific Publishing Company
ON IRREGULAR BEHAVIOR OF
NEURON SPIKE TRAINS
A. YU. SHAHVERDIAN
Yerevan Physics Institute, Alikhanian Brothers' St. 2,
375036, Yerevan, Armenia
A. V. APKARIAN
Department of Neurosurgery, Computational Neuroscience Program, SUNY
Science Health Center, Syracuse, NY, 13210 USA
Received July 29, 1998; Accepted December 3, 1998
Abstract
The computational analysis of neuron spike trains shows that the changes in monotony of
interspike interval values can be described by a special type of real numbers. As a result of such
an arithmetical approach, we establish the presence of chaos in neuron spike trains and arrive
at the conclusion that in stationary conditions, brain activity is found asymptotically close to
a multidimensional Cantor space with zero Lebesgue measure, which can be understood as the
brain activity attractor. The self-affinity, power law dependence, and computational complexity
of neuron spike trains are also briefly examined and discussed.
1. INTRODUCTION

  

Source: Apkarian, A. Vania - Department of Physiology, Northwestern University

 

Collections: Biology and Medicine