Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay
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Publication:2482402
DOI10.1016/j.chaos.2005.10.091zbMath1133.92005OpenAlexW2136324074WikidataQ60148222 ScholiaQ60148222MaRDI QIDQ2482402
Publication date: 16 April 2008
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2005.10.091
Integro-ordinary differential equations (45J05) Integro-partial differential equations (45K05) Neural biology (92C20) Developmental biology, pattern formation (92C15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Analysis of nonlocal neural fields for both general and gamma-distributed connectivities
- A mathematical theory of visual hallucination patterns
- Analysis of neurophysiological brain functioning. Workshop, Leipzig, Germany, December 1997
- Simulation of electrocortical waves
- Analysis and modeling of quasi-stationary multivariate time series and their application to middle latency auditory evoked potentials
- On stationary solutions of delay differential equations driven by a Lévy process.
- Principles of brain functioning. A synergetic approach to brain activity, behavior and cognition
- Impacts of noise on a field theoretical model of the human brain.
- Modeling collective excitations in cortical tissue
- The existence of persistent states in the brain
- Modeling Neuronal Assemblies: Theory and Implementation
- Dynamic Approximation of Spatiotemporal Receptive Fields in Nonlinear Neural Field Models
- The chemical basis of morphogenesis
- Stability and Bifurcations in Neural Fields with Finite Propagation Speed and General Connectivity
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
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