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A simple electronic model of avalanche generation consists of a two-dimensional array of neon lamps, each one connected to a resistor towards a global DC control voltage and capacitively coupled to its von Neumann neighbors. Neon lamps possess rich dynamical properties: as the applied voltage changes, the transition between the "on" and "off" phases is at the same time significantly hysteretic and stochastic (Dance, 1968). The system displays two phases, <math>I</math> and <math>II</math>, respectively characterized by low and high event rate and spatiotemporal order: the transition between them is strongly hysteretic, hence unequivocally first-order. Nevertheless, close to the spinal point of the <math>I\rightarrow II</math> transition, critical precursors emerge in the form of avalanches (Fig. 8) having the same scaling exponents characterizing neural activity, namely <math>\alpha\approx3/2</math> for size and <math>\alpha\approx2</math> for duration (Minati et al., 2016).
 
A simple electronic model of avalanche generation consists of a two-dimensional array of neon lamps, each one connected to a resistor towards a global DC control voltage and capacitively coupled to its von Neumann neighbors. Neon lamps possess rich dynamical properties: as the applied voltage changes, the transition between the "on" and "off" phases is at the same time significantly hysteretic and stochastic (Dance, 1968). The system displays two phases, <math>I</math> and <math>II</math>, respectively characterized by low and high event rate and spatiotemporal order: the transition between them is strongly hysteretic, hence unequivocally first-order. Nevertheless, close to the spinal point of the <math>I\rightarrow II</math> transition, critical precursors emerge in the form of avalanches (Fig. 8) having the same scaling exponents characterizing neural activity, namely <math>\alpha\approx3/2</math> for size and <math>\alpha\approx2</math> for duration (Minati et al., 2016).
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==External Links and Acknowledgements==  
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==外部链接和致谢==  
    
[http://biocomplexity.indiana.edu/research/info/beggs.php Author's webpage]
 
[http://biocomplexity.indiana.edu/research/info/beggs.php Author's webpage]
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The writing of this work and the experiments presented in the figures were funded by the National Science Foundation, grant number 0343636 to John Beggs, and by Indiana University. The initial work on neuronal avalanches was done in the laboratory of Dietmar Plenz, and was funded by the intramural research program of the National Institutes of Health.  
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The writing of this work and the experiments presented in the figures were funded by the National Science Foundation, grant number 0343636 to John Beggs, and by Indiana University. The initial work on neuronal avalanches was done in the laboratory of Dietmar Plenz, and was funded by the intramural research program of the National Institutes of Health.
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这项工作的撰写和图中的实验得到了美国国家科学基金会的资助和印第安纳大学的资助,约翰·贝格斯(John Beggs)的资助号为0343636。关于神经雪崩的最初工作是在迪特玛·普伦茨(Dietmar Plenz)的实验室完成的,由美国国立卫生研究院的院内研究项目资助。
    
==参考文献 References==
 
==参考文献 References==
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