Global competition and local cooperation in a network of neural oscillators

Terman, David; Wang, DeLiang

doi:10.1016/0167-2789(94)00205-5

Cited by 326 publications

(287 citation statements)

References 34 publications

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“…The result that the neural network can be subdivided into relatively independent ensembles, which can be reorganized by an external input, resembles the theory of a dynamical cell assembly proposed by Fujii et al (1996), who refer to the external input as being a context. Finally, we contrast our theory with the theory of dynamic link architecture proposed by von der Malsburg (1995); (see also Terman and Wang, 1995), which considers neurons having identical frequencies but different phases. It postulates that in order to communicate the neurons have to be in-phase synchronized.…”

Section: Discussionmentioning

confidence: 99%

Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles?

1998

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We consider all models of the thalamo-cortical system that satisfy the following two assumptions: (1) each cortical column is an autonomous oscillator; (2) connections between cortical columns and the thalamus are weak. Our goal is to deduce from these assumptions general principles of thalamo-cortical interactions that are independent of the equations describing the system. We find that the existence of synaptic connections between any two cortical columns does not guarantee that the columns interact: They interact only when there is a certain nearly resonant relation between their frequencies, which implies that the interactions are frequency modulated (FM). When the resonance relation holds, the cortical columns interact through phase modulations. Thus, communications between weakly connected cortical oscillators employ a principle similar to that in FM radio: The frequency of oscillation encodes the channel of communication, while the information is transmitted via phase modulations. If the thalamic input has an appropriate frequency, then it can dynamically link any two cortical columns, even those that have non-resonant frequencies and would otherwise be unlinked. Thus, by adjusting its temporal activity, the thalamus has control over information processing taking place in the cortex. Our results suggest that the mean firing rate (frequency) of periodically spiking neuron does not carry any information other than identifying a channel of communication. Information (i.e. neural code) is carried through modulations of interspike intervals.

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Section: Discussionmentioning

confidence: 99%

Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles?

1998

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“…The two-variable Terman-Wang (TW) model is similar to the famous FHN model, it was first proposed by Terman and Wang [64] to simulate neuronal oscillations discovered experimentally in visual cortex. We consider here N coupled TW neurons with delayed coupling, subjected to additive Gaussian white noises and external signal.…”

Section: Model Descriptionmentioning

confidence: 99%

Spatiotemporal dynamics on small-world neuronal networks: The roles of two types of time-delayed coupling

Jiang

Hou

2011

Chaos, Solitons & Fractals

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We investigate temporal coherence and spatial synchronization on small-world networks consisting of noisy Terman-Wang (TW) excitable neurons in dependence on two types of time-delayed coupling:For the former case, we show that time delay in the coupling can dramatically enhance temporal coherence and spatial synchrony of the noise-induced spike trains. In addition, if the delay time τ is tuned to nearly match the intrinsic spike period of the neuronal network, the system dynamics reaches a most ordered state, which is both periodic in time and nearly synchronized in space, demonstrating an interesting resonance phenomenon with delay. For the latter case, however, we can not achieve a similar spatiotemporal ordered state, but the neuronal dynamics exhibits interesting synchronization transition with time delay from zigzag fronts of excitations to dynamic clustering anti-phase synchronization (APS), and further to clustered chimera states which have spatially distributed anti-phase coherence separated by incoherence. Furthermore, we also show how these findings are influenced by the change of the noise intensity and the rewiring probability. Finally, qualitative analysis is given to illustrate the numerical results. * Electronic address: hzhlj@ustc.edu.cn

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“…Early work on such nonlinear oscillator models for feature binding considered local (von der Malsburg & Buhmann, 1992) and global (Schillen & König, 1994) connection schemes, but simulations were only carried out on small networks and highly simplified test images. (Terman & Wang, 1995) proposed the LEGION model which uses relaxation oscillators to achive fast synchronization and desynchronization with local excitatory and global inhibitory coupling schemes. This is very similar to the CLM grouping we are considering here, where the lateral interactions are based on a local similarity measure superimposed by a weak global inhibition.…”

Section: Relation To Other Binding Modelsmentioning

confidence: 99%

A computational feature binding model of human texture perception

Ontrup

Wersing²,

Ritter

2004

Cognitive Processing

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We present a computational model for human texture perception which assigns functional principles to the Gestalt laws of similarity and proximity. Motivated by early vision mechanisms, in a first step local texture features are extracted by utilizing multi-scale filtering and non-linear spatial pooling. In the second stage, features are grouped according to the spatial feature binding model of the Competitive Layer Model (CLM) (Wersing, Steil, & Ritter, 2001). The CLM uses cooperative and competitive interactions in a recurrent network, where binding is expressed by the layer-wise coactivation of feature-representing neurons. The Gestalt law of similarity is expressed by a non-euclidean distance measure in the abstract feature space with proximity being taken into account by a spatial component. To choose the stimulus dimensions which allow the most salient similarity-based texture segmentation, the feature similarity metrics is reduced to the directions of maximum variance. We show that our combined texture feature extraction and binding model performs segmentation in strong conformity with human perception. The examples range from classical microtextures and Brodatz textures to other classical Gestalt stimuli, which offer a new perspective on the role of texture for more abstract similarity grouping.

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Global competition and local cooperation in a network of neural oscillators

Cited by 326 publications

References 34 publications

Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles?

Thalamo-cortical interactions modeled by weakly connected oscillators: could the brain use FM radio principles?

Spatiotemporal dynamics on small-world neuronal networks: The roles of two types of time-delayed coupling

A computational feature binding model of human texture perception

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