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Generative Models of Cortical Oscillations: Neurobiological Implications of the Kuramoto Model

Open access
Breakspear, Michael, Heitmann, Stewart, Daffertshofer, Andreas·2010·Frontiers in Human Neuroscience

Abstract

Understanding the fundamental mechanisms governing fluctuating oscillations in large-scale cortical circuits is a crucial prelude to a proper knowledge of their role in both adaptive and pathological cortical processes. Neuroscience research in this area has much to gain from understanding the Kuramoto model, a mathematical model that speaks to the very nature of coupled oscillating processes, and which has elucidated the core mechanisms of a range of biological and physical phenomena. In this paper, we provide a brief introduction to the Kuramoto model in its original, rather abstract, form and then focus on modifications that increase its neurobiological plausibility by incorporating topological properties of local cortical connectivity. The extended model elicits elaborate spatial patterns of synchronous oscillations that exhibit persistent dynamical instabilities reminiscent of cortical activity. We review how the Kuramoto model may be recast from an ordinary differential equation to a population level description using the nonlinear Fokker-Planck equation. We argue that such formulations are able to provide a mechanistic and unifying explanation of oscillatory phenomena in the human cortex, such as fluctuating beta oscillations, and their relationship to basic computational processes including multistability, criticality, and information capacity.

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Metadata

Authors
Breakspear, M., Heitmann, S., & Daffertshofer, A.
Venue
Frontiers in Human Neuroscience
Published
2010
Volume
4
Pages
190-190
ISSN
1662-5161 (ISSN-L)
OpenAlex
W2076618566
Cited by
526
References
77
FWCI
7.42
Type
journal article
Language
en
Open access
gold

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CoChat. (2026). Citation check: Generative Models of Cortical Oscillations: Neurobiological Implications of the Kuramoto Model. https://app.cochat.ai/papers/10.3389/fnhum.2010.00190
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Breakspear, M., Heitmann, S., & Daffertshofer, A. (2010). Generative Models of Cortical Oscillations: Neurobiological Implications of the Kuramoto Model. Frontiers in Human Neuroscience. https://doi.org/10.3389/fnhum.2010.00190

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.