How to enhance the dynamic range of excitatory-inhibitory excitable networks.

We investigate the collective dynamics of excitatory-inhibitory excitable networks in response to external stimuli. How to enhance the dynamic range, which represents the ability of networks to encode external stimuli, is crucial to many applications. We regard the system as a two-layer network (E layer and I layer) and explore the criticality and dynamic range on diverse networks. Interestingly, we find that phase transition occurs when the dominant eigenvalue of the E layer's weighted adjacency matrix is exactly 1, which is only determined by the topology of the E layer. Meanwhile, it is shown that the dynamic range is maximized at a critical state. Based on theoretical analysis, we propose an inhibitory factor for each excitatory node. We suggest that if nodes with high inhibitory factors are cut out from the I layer, the dynamic range could be further enhanced. However, because of the sparseness of networks and passive function of inhibitory nodes, the improvement is relatively small compared to the original dynamic range. Even so, this provides a strategy to enhance the dynamic range.

[1]  J. Rogers.  Chaos , 1876, Molecular Vibrations.

[2]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[3]  Michael N. Shadlen,et al.  Noise, neural codes and cortical organization , 1994, Current Opinion in Neurobiology.

[4]  D. Sagi,et al.  Excitatory-inhibitory network in the visual cortex: psychophysical evidence. , 1997, Proceedings of the National Academy of Sciences of the United States of America.

[5]  W. Newsome,et al.  The Variable Discharge of Cortical Neurons: Implications for Connectivity, Computation, and Information Coding , 1998, The Journal of Neuroscience.

[6]  Duncan J. Watts,et al.  Collective dynamics of ‘small-world’ networks , 1998, Nature.

[7]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[8]  Charles R. MacCluer,et al.  The Many Proofs and Applications of Perron's Theorem , 2000, SIAM Rev..

[9]  Fumio Harashima,et al.  IEEE International Conference on Systems, Man, and Cybernetics , 2000 .

[10]  Alessandro Vespignani,et al.  Epidemic spreading in scale-free networks. , 2000, Physical review letters.

[11]  Mauro Copelli,et al.  Physics of psychophysics: Stevens and Weber-Fechner laws are transfer functions of excitable media. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  Marcelo Kuperman,et al.  Effects of immunization in small-world epidemics , 2001, cond-mat/0109273.

[13]  T. Greenhalgh.  42 , 2002, BMJ : British Medical Journal.

[14]  A. Levine,et al.  New estimates of the storage permanence and ocean co-benefits of enhanced rock weathering , 2023, PNAS nexus.

[15]  John M. Beggs,et al.  Neuronal Avalanches in Neocortical Circuits , 2003, The Journal of Neuroscience.

[16]  Idan Segev,et al.  On the Transmission of Rate Code in Long Feedforward Networks with Excitatory–Inhibitory Balance , 2003, The Journal of Neuroscience.

[17]  Nicolas Brunel,et al.  Dynamics of Sparsely Connected Networks of Excitatory and Inhibitory Spiking Neurons , 2000, Journal of Computational Neuroscience.

[18]  John M. Beggs,et al.  Behavioral / Systems / Cognitive Neuronal Avalanches Are Diverse and Precise Activity Patterns That Are Stable for Many Hours in Cortical Slice Cultures , 2004 .

[19]  M Leone,et al.  Trading interactions for topology in scale-free networks. , 2005, Physical review letters.

[20]  Mauro Copelli,et al.  Signal compression in the sensory periphery , 2005, Neurocomputing.

[21]  宁北芳,et al.  疟原虫var基因转换速率变化导致抗原变异[英]／Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A , 2005 .

[22]  D. Contreras,et al.  Dynamics of excitation and inhibition underlying stimulus selectivity in rat somatosensory cortex , 2005, Nature Neuroscience.

[23]  L. Abbott,et al.  Neural network dynamics. , 2005, Annual review of neuroscience.

[24]  Patrick Thiran,et al.  Layered complex networks. , 2006, Physical review letters.

[25]  Jordi Soriano,et al.  Percolation in living neural networks. , 2006, Physical review letters.

[26]  O. Kinouchi,et al.  Optimal dynamical range of excitable networks at criticality , 2006, q-bio/0601037.

[27]  Xin-Jian Xu,et al.  Excitable Greenberg-Hastings cellular automaton model on scale-free networks. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  M. Copelli,et al.  Excitable scale free networks , 2007, q-bio/0703004.

[29]  Michael Okun,et al.  Instantaneous correlation of excitation and inhibition during ongoing and sensory-evoked activities , 2008, Nature Neuroscience.

[30]  Jordi Soriano,et al.  Development of input connections in neural cultures , 2008, Proceedings of the National Academy of Sciences.

[31]  V. Yakovenko,et al.  Colloquium: Statistical mechanics of money, wealth, and income , 2009, 0905.1518.

[32]  R. Rosenfeld.  Nature , 2009, Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery.

[33]  L.F. Abbott,et al.  Gating Multiple Signals through Detailed Balance of Excitation and Inhibition in Spiking Networks , 2009, Nature Neuroscience.

[34]  O. Sporns,et al.  Complex brain networks: graph theoretical analysis of structural and functional systems , 2009, Nature Reviews Neuroscience.

[35]  S. Fortunato,et al.  Statistical physics of social dynamics , 2007, 0710.3256.

[36]  D. Terman,et al.  Irregular behavior in an excitatory-inhibitory neuronal network. , 2010, Chaos.

[37]  Ad Aertsen,et al.  Gating of Signal Propagation in Spiking Neural Networks by Balanced and Correlated Excitation and Inhibition , 2010, The Journal of Neuroscience.

[38]  Woodrow L. Shew,et al.  Predicting criticality and dynamic range in complex networks: effects of topology. , 2010, Physical review letters.

[39]  E. Ott,et al.  Effects of network topology, transmission delays, and refractoriness on the response of coupled excitable systems to a stochastic stimulus. , 2011, Chaos.

[40]  G B Ermentrout,et al.  New patterns of activity in a pair of interacting excitatory-inhibitory neural fields. , 2011, Physical review letters.

[41]  Sen Pei,et al.  Effects of consumption strategy on wealth distribution on scale-free networks , 2012 .

[42]  47 , 2014, Fetch the Devil.