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Literature DB >> 224126

Temporal oscillations in neuronal nets.

Abstract

A model for the interactions of cortical neurons is derived and analyzed. It is shown that small amplitude spatially inhomogeneous standing oscillations can bifurcate from the rest state. In a periodic domain, traveling wave trains exist. Stability of these patterns is discussed in terms of biological parameters. Homoclinic and heteroclinic orbits are demonstrated for the space-clamped system.

Mesh：

Year: 1979 PMID： 224126 DOI： 10.1007/bf00275728

Source DB: PubMed Journal: J Math Biol ISSN： 0303-6812 Impact factor: 2.259

5 in total

1. Cortical seizure patterns in multidimensional view: the information content of equipotential maps.

Authors: H Petsche; O Prohaska; P Rappelsberger; R Vollmer; A Kaiser
Journal: Epilepsia Date: 1974-12 Impact factor: 5.864

2. The frequency of nerve action potentials generated by applied currents.

Authors: R B Stein
Journal: Proc R Soc Lond B Biol Sci Date: 1967-01-31

3. The significance of the cortex for the travelling phenomenon of brain waves.

Authors: H Petsche; J Sterc
Journal: Electroencephalogr Clin Neurophysiol Date: 1968-07

4. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue.

Authors: H R Wilson; J D Cowan
Journal: Kybernetik Date: 1973-09

5. Properties of cortical seizure potential fields.

Authors: H Petsche; P Rappelsberger; R Trappl
Journal: Electroencephalogr Clin Neurophysiol Date: 1970-12

5 in total

21 in total

1. Subthalamic-pallidal interactions are critical in determining normal and abnormal functioning of the basal ganglia.

Authors: Andrew Gillies; David Willshaw; Zhaoping Li
Journal: Proc Biol Sci Date: 2002-03-22 Impact factor: 5.349

2. Model-driven therapeutic treatment of neurological disorders: reshaping brain rhythms with neuromodulation.

Authors: Julien Modolo; Alexandre Legros; Alex W Thomas; Anne Beuter
Journal: Interface Focus Date: 2010-11-17 Impact factor: 3.906

Review 3. Neurophysiological and computational principles of cortical rhythms in cognition.

Authors: Xiao-Jing Wang
Journal: Physiol Rev Date: 2010-07 Impact factor: 37.312

4. A model for neuronal oscillations in the visual cortex. 2. Phase description of the feature dependent synchronization.

Authors: H G Schuster; P Wagner
Journal: Biol Cybern Date: 1990 Impact factor: 2.086

Temporal oscillations in neuronal nets.

1. Cortical seizure patterns in multidimensional view: the information content of equipotential maps.

2. The frequency of nerve action potentials generated by applied currents.

3. The significance of the cortex for the travelling phenomenon of brain waves.

4. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue.

5. Properties of cortical seizure potential fields.

1. Subthalamic-pallidal interactions are critical in determining normal and abnormal functioning of the basal ganglia.

2. Model-driven therapeutic treatment of neurological disorders: reshaping brain rhythms with neuromodulation.

Review 3. Neurophysiological and computational principles of cortical rhythms in cognition.

4. A model for neuronal oscillations in the visual cortex. 2. Phase description of the feature dependent synchronization.

Review 5. A massively connected subthalamic nucleus leads to the generation of widespread pulses.

6. The constitution of visual perceptual units in the functional architecture of V1.

7. Modeling multiple time scale firing rate adaptation in a neural network of local field potentials.

8. Symmetry breaking in neural nets.

9. Non-locality in biological systems results from hierarchy. Application to the nervous system.

10. Inhibitory stabilization and visual coding in cortical circuits with multiple interneuron subtypes.