ArticleScientific reports2024
The Hopf whole-brain model and its linear approximation.
Article in Scientific reports, 2024. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 21 papers.
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21 citing papers in PubMed, 37 citations in OpenAlex.
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- Cortical neuron classes and recursive curvature collapse: a neurobiological model of conscious dynamics.Theory in biosciences = Theorie in den Biowissenschaften · 2026Article
- A multi-frequency whole-brain neural mass model with homeostatic feedback inhibition.PLoS computational biology · 2026Article
- Modeling macroscopic brain dynamics with brain-inspired computing architecture.Nature communications · 2025Article
- Creative experiences and brain clocks.Nature communications · 2025Article
- Disrupted hierarchical organization in disorders of consciousness revealed by fluctuation-dissipation deviations.bioRxiv : the preprint server for biology · 2025Article
- A multi-frequency whole-brain neural mass model with homeostatic feedback inhibition.bioRxiv : the preprint server for biology · 2025Article
- Perturbing whole-brain models of brain hierarchy: An application for depression following pharmacological treatment.Annals of the New York Academy of Sciences · 2025Article
- Nonequilibrium brain dynamics elicited as the origin of perturbative complexity.PLoS computational biology · 2025Article
- Longitudinal excitation-inhibition balance altered by sex and APOE-ε4.Communications biology · 2025Article
- Network Mechanisms Underlying the Regional Diversity of Variance and Time Scales of the Brain's Spontaneous Activity Fluctuations.The Journal of neuroscience : the official journal of the Society for Neuroscience · 2025Article
- Control of Inhibition-Stabilized Oscillations in Wilson-Cowan Networks with Homeostatic Plasticity.Entropy (Basel, Switzerland) · 2025Article
- Comparison of derivative-based and correlation-based methods to estimate effective connectivity in neural networks.Scientific reports · 2025Article
- Modeling of whole brain sleep electroencephalogram using deep oscillatory neural network.Frontiers in neuroinformatics · 2025Article
- Adaptive Whole-Brain Dynamics Predictive Method: Relevancy to Mental Disorders.Research (Washington, D.C.) · 2025Article
- A cortical field theory - dynamics and symmetries.Journal of computational neuroscience · 2024Article
- Identifying Brain Network Structure for an fMRI Effective Connectivity Study Using the Least Absolute Shrinkage and Selection Operator (LASSO) Method.Tomography (Ann Arbor, Mich.) · 2024Article
- Gaming expertise induces meso‑scale brain plasticity and efficiency mechanisms as revealed by whole-brain modeling.NeuroImage · 2024Article
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Authors and funding
2 authors at 2 institutions in 1 country.
Funding
Abstract
Whole-brain models have proven to be useful to understand the emergence of collective activity among neural populations or brain regions. These models combine connectivity matrices, or connectomes, with local node dynamics, noise, and, eventually, transmission delays. Multiple choices for the local dynamics have been proposed. Among them, nonlinear oscillators corresponding to a supercritical Hopf bifurcation have been used to link brain connectivity and collective phase and amplitude dynamics in different brain states. Here, we studied the linear fluctuations of this model to estimate its stationary statistics, i.e., the instantaneous and lagged covariances and the power spectral densities. This linear approximation-that holds in the case of heterogeneous parameters and time-delays-allows analytical estimation of the statistics and it can be used for fast parameter explorations to study changes in brain state, changes in brain activity due to alterations in structural connectivity, and modulations of parameter due to non-equilibrium dynamics.
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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.