ArticlePLoS computational biology2008
A low dimensional description of globally coupled heterogeneous neural networks of excitatory and inhibitory neurons.
Article in PLoS computational biology, 2008. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 61 papers.
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Who cites it
61 citing papers in PubMed.
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- Revealing excitation-inhibition imbalance in Alzheimer's disease using multiscale neural model inversion of resting-state functional MRI.Communications medicine · 2025Article
- Analyzing the brain's dynamic response to targeted stimulation using generative modeling.Network neuroscience (Cambridge, Mass.) · 2025Review
- Biophysical modulation and robustness of itinerant complexity in neuronal networks.Frontiers in network physiology · 2024Article
- Recent Progress in Brain Network Models for Medical Applications: A Review.Health data science · 2024Review
- Inhibitory neurons control the consolidation of neural assemblies via adaptation to selective stimuli.Scientific reports · 2023Article
- Development of Mechanistic Neural Mass (mNM) Models that Link Physiology to Mean-Field Dynamics.Frontiers in network physiology · 2022Article
- A perturbative approach to study information communication in brain networks.Network neuroscience (Cambridge, Mass.) · 2022Article
- Interlayer Connectivity Affects the Coherence Resonance and Population Activity Patterns in Two-Layered Networks of Excitatory and Inhibitory Neurons.Frontiers in computational neuroscience · 2022Article
- Whole-Brain Modelling: Past, Present, and Future.Advances in experimental medicine and biology · 2022Article
- The role of network connectivity on epileptiform activity.Scientific reports · 2021Article
- A dynamical model for the basal ganglia-thalamo-cortical oscillatory activity and its implications in Parkinson's disease.Cognitive neurodynamics · 2021Article
- Primal-size neural circuits in meta-periodic interaction.Cognitive neurodynamics · 2021Article
- Unique scales preserve self-similar integrate-and-fire functionality of neuronal clusters.Scientific reports · 2021Article
- Bridging Scales in Alzheimer's Disease: Biological Framework for Brain Simulation With The Virtual Brain.Frontiers in neuroinformatics · 2021Review
- A Complex-Valued Oscillatory Neural Network for Storage and Retrieval of Multidimensional Aperiodic Signals.Frontiers in computational neuroscience · 2021Article
- Probabilistically segregated neural circuits and subcritical linguistics.Cognitive neurodynamics · 2020Article
- Dynamical Mechanisms of Interictal Resting-State Functional Connectivity in Epilepsy.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2020Article
1 more citing papers are in PubMed but not listed here.
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2 authors.
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Abstract
Neural networks consisting of globally coupled excitatory and inhibitory nonidentical neurons may exhibit a complex dynamic behavior including synchronization, multiclustered solutions in phase space, and oscillator death. We investigate the conditions under which these behaviors occur in a multidimensional parametric space defined by the connectivity strengths and dispersion of the neuronal membrane excitability. Using mode decomposition techniques, we further derive analytically a low dimensional description of the neural population dynamics and show that the various dynamic behaviors of the entire network can be well reproduced by this reduced system. Examples of networks of FitzHugh-Nagumo and Hindmarsh-Rose neurons are discussed in detail.
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