Fast Response and Temporal Coding on Coherent Oscillations in Small-World Networks
arXiv:cond-mat/9909379 · doi:10.1103/PhysRevLett.84.2758
Abstract
We have investigated the role that different connectivity regimes play on the dynamics of a network of Hodgkin-Huxley neurons by computer simulations. The different connectivity topologies exhibit the following features: random connectivity topologies give rise to fast system response yet are unable to produce coherent oscillations in the average activity of the network; on the other hand, regular connectivity topologies give rise to coherent oscillations and temporal coding, but in a temporal scale that is not in accordance with fast signal processing. Finally, small-world (SW) connectivity topologies, which fall between random and regular ones, take advantage of the best features of both, giving rise to fast system response with coherent oscillations along with reproducible temporal coding on clusters of neurons. Our work is the first, to the best of our knowledge, to show the need for a small-world topology in order to obtain all these features in synergy within a biologically plausible time scale.
4 pages, 5 figures
References in corpus (2)
Cited by in corpus (114)
- Statistical mechanics of complex networks
- The structure and function of complex networks
- Efficient Behavior of Small-World Networks
- Synchronization in complex networks
- Evolution of networks
- The structure and dynamics of multilayer networks
- Classes of behavior of small-world networks
- Critical phenomena in complex networks
- Attack vulnerability of complex networks
- Synchronization in small-world systems
- Scale-free brain functional networks
- Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
- Analyzing and Modeling Real-World Phenomena with Complex Networks: A Survey of Applications
- Network Synchronization, Diffusion, and the Paradox of Heterogeneity
- Synchronization on small-world networks
- Explosive transitions in complex networks' structure and dynamics: percolation and synchronization
- Enhancing complex-network synchronization
- Self-sustained activity in a small-world network of excitable neurons
- Data Based Identification and Prediction of Nonlinear and Complex Dynamical Systems
- Self-Organized Criticality model for Brain Plasticity
- Evolving functional network properties and synchronizability during human epileptic seizures
- Efficiency of informational transfer in regular and complex networks
- Synchronization in scale-free network with asymmetric coupling
- Network analysis identifies weak and strong links in a metapopulation system
- The synchronized dynamics of time-varying networks
- Synchronization in networks with multiple interaction layers
- Ising model in small-world networks
- Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators
- Transition from local to global phase synchrony in small world neural network and its possible implications for epilepsy
- Global and local synchrony of coupled neurons in small-world networks
- Models of the Small World: A Review
- Spatial coherence resonance on diffusive and small-world networks of Hodgkin-Huxley neurons
- Performance of networks of artificial neurons: The role of clustering
- Controlling the spontaneous spiking regularity via channel blocking on Newman-Watts networks of Hodgkin-Huxley neurons
- XY model in small-world networks
- Clustering and Synchronization of Oscillator Networks
- Fastest learning in small world neural networks
- Enhance synchronizability by structural perturbations
- Coherence in scale-free networks of chaotic maps
- Relations between Average Distance, Heterogeneity and Network Synchronizability
- Structure and control of self-sustained target waves in excitable small-world networks
- Synchronization in disordered Josephson junction arrays: Small-world connections and the Kuramoto model
- First- and second-order phase transitions in scale-free networks
- Relaxation Properties of Small-World Networks
- Topology and Computational Performance of Attractor Neural Networks
- Synchronization, Diversity, and Topology of Networks of Integrate and Fire Oscillators
- Scaling Properties of Random Walks on Small-World Networks
- Many Attractors, Long Chaotic Transients, and Failure in Small-World Networks of Excitable Neurons
- Physical realizability of small-world networks
- Shortest paths on systems with power-law distributed long-range connections
- Development of structural correlations and synchronization from adaptive rewiring in networks of Kuramoto oscillators
- Sparse repulsive coupling enhances synchronization in complex networks
- Energy efficiency of information transmission by electrically coupled neurons
- Synchronizations in small-world networks of spiking neurons: Diffusive versus sigmoid couplings
- Stability of a neural network model with small-world connections
- Exact Solution of Ising Model on a Small-World Network
- Scaling in directed dynamical small-world networks with random responses
- Resilience and Controllability of Dynamic Collective Behaviors
- The topology of large Open Connectome networks for the human brain
- Partial Synchronization on Complex Networks
- Better Synchronizability Predicted by Crossed Double Cycle
- Network-Induced Oscillatory Behavior in Material Flow Networks
- Exactly solvable scale-free network model
- Better synchronizability predicted by a new coupling method
- Dynamic behaviors in directed networks
- The synchronizability of highly clustered scale-free networks
- Dynamical mean-filed approximation to small-world networks of spiking neurons: From local to global, and/or from regular to random couplings
- Self-avoiding walks and connective constants in small-world networks
- Small-world behavior in a system of mobile elements
- A view of Neural Networks as dynamical systems
- Phase ordering on small-world networks with nearest-neighbor edges
- The development of generalized synchronization on complex networks
- Recurrent events of synchrony in complex networks of pulse-coupled oscillators
- Synchronization in dynamical networks with unconstrained structure switching
- Periodic Neural Activity Induced by Network Complexity
- Antiferromagnetic Ising model in small-world networks
- Synchronizabilities of Networks: A New index
- Introducing Small-World Network Effect to Critical Dynamics
- Effects of degree distribution in mutual synchronization of neural networks
- Resonant response of forced complex networks: the role of topological disorder
- Influence of synaptic interaction on firing synchronization and spike death in excitatory neuronal networks
- Simple models of small world networks with directed links
- Spatiotemporal dynamics on small-world neuronal networks: The roles of two types of time-delayed coupling
- Sync in Complex Dynamical Networks: Stability, Evolution, Control, and Application
- An Analysis of the Matching Hypothesis in Networks
- Kinetic-growth self-avoiding walks on small-world networks
- Evolving network - simulation study. From regular lattice to scale free network
- Cluster structure of functional networks estimated from high-resolution EEG data
- Connectivity and Dynamics of Neuronal Networks as Defined by the Shape of Individual Neurons
- Structural network heterogeneities and network dynamics: a possible dynamical mechanism for hippocampal memory reactivation
- Rewiring hierarchical scale-free networks: Influence on synchronizability and topology
- Zero-temperature Glauber dynamics on small-world networks
- Unevenness of Loop Location in Complex Networks
- Why are probabilistic laws governing quantum mechanics and neurobiology?
- Effect of Inter-Modular Connection on Fast Sparse Synchronization in Clustered Small-World Neural Networks
- Correlation effects in a simple model of small-world network
- Unusual percolation in simple small-world networks
- Multiscale modeling of brain network organization
- Synchronicity From Synchronized Chaos
- In an Attempt to Introduce Long-range Interactions into Small-world Networks
- Scale-free percolation in continuum space: quenched degree and clustering coefficient
- Coherence in complex networks of oscillators
- Activity-dependent brain model explaining EEG spectra
- Tools for network dynamics
- Coarse-Grained Analysis of Microscopic Neuronal Simulators on Networks: Bifurcation and Rare-events computations
- Synchronization optimized networks for coupled nearly identical oscillators and their structural analysis
- Étude de l'omniprésence des propriétés petit- monde et sans-échelle
- Noise-Induced Burst and Spike Synchronizations in An Inhibitory Small-World Network of Subthreshold Bursting Neurons
- Effect of Small-World Connectivity on Fast Sparsely Synchronized Cortical Rhythms
- Network algorithmics and the emergence of synchronization in cortical models
- Pulse-coupled model of excitable elements on heterogeneous sparse networks
- Differential Effect of Delays and Network Topology on Temporal Pattern Formation
- Reinforcement learning of recurrent neural network for temporal coding
- Effects of Hebbian learning on the dynamics and structure of random networks with inhibitory and excitatory neurons