Avalanche dynamics of idealized neuron function in the brain on
an uncorrelated random scale-free network |
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Authors: | K E Lee J W Lee |
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Institution: | (1) Department of Physics, Inha University, Incheon, 402-751, Korea |
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Abstract: | We study a simple model for a neuron function in a collective brain
system. The neural network is composed of an uncorrelated
configuration model (UCM) for eliminating the degree correlation
of dynamical processes. The interaction of neurons is assumed to
be isotropic and idealized. These neuron dynamics are similar to
biological evolution in extremal dynamics with locally isotropic
interaction but has a different time scale. The functioning of
neurons takes place as punctuated patterns based on avalanche
dynamics. In our model, the avalanche dynamics of neurons exhibit
self-organized criticality which shows power-law behavior of the
avalanche sizes. For a given network, the avalanche dynamic
behavior is not changed with different degree exponents of
networks, γ≥2.4 and various refractory periods
referred to the memory effect, Tr. Furthermore, the avalanche
size distributions exhibit power-law behavior in a single scaling
region in contrast to other networks. However, return time
distributions displaying spatiotemporal complexity have three
characteristic time scaling regimes Thus, we find that UCM may be
inefficient for holding a memory. |
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Keywords: | 05 40 Fb Random walks and Levy flights 05 45 Tp Time series analysis |
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