Neural masses and fields in dynamic causal modeling
Open accessAbstract
Dynamic causal modeling (DCM) provides a framework for the analysis of effective connectivity among neuronal subpopulations that subtend invasive (electrocorticograms and local field potentials) and non-invasive (electroencephalography and magnetoencephalography) electrophysiological responses. This paper reviews the suite of neuronal population models including neural masses, fields and conductance-based models that are used in DCM. These models are expressed in terms of sets of differential equations that allow one to model the synaptic underpinnings of connectivity. We describe early developments using neural mass models, where convolution-based dynamics are used to generate responses in laminar-specific populations of excitatory and inhibitory cells. We show that these models, though resting on only two simple transforms, can recapitulate the characteristics of both evoked and spectral responses observed empirically. Using an identical neuronal architecture, we show that a set of conductance based models-that consider the dynamics of specific ion-channels-present a richer space of responses; owing to non-linear interactions between conductances and membrane potentials. We propose that conductance-based models may be more appropriate when spectra present with multiple resonances. Finally, we outline a third class of models, where each neuronal subpopulation is treated as a field; in other words, as a manifold on the cortical surface. By explicitly accounting for the spatial propagation of cortical activity through partial differential equations (PDEs), we show that the topology of connectivity-through local lateral interactions among cortical layers-may be inferred, even in the absence of spatially resolved data. We also show that these models allow for a detailed analysis of structure-function relationships in the cortex. Our review highlights the relationship among these models and how the hypothesis asked of empirical data suggests an appropriate model class.
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By adjusting a few key parameters such as the gain of neuronal populations that carry error signals, mean-field models can simulate how precision is encoded and modulated in the brain.
“By adjusting a few key parameters (like the gain of neuronal populations that carry error signals), these models can simulate how precision (confidence) is encoded and modulated in the brain (21, 22).”
From Predictive coding and neurocomputational psychiatry: a mechanistic framework for understanding mental disorders (2026) · cites this paper as [21]
The ERP-model section (page unavailable) describes a parameter controlling neuronal subpopulation gain and discusses models of sensory prediction-error responses. The mean-field section describes simulations of population dynamics. Neither section links the gain of error-carrying populations to precision or says these models simulate how precision is encoded and modulated. (LLM, conf=0.82)
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Human fronto-parietal response scattering subserves vigilance at night
Gaggioni, G., Ly, J. Q. M., Chellappa, S. L., Wallant, D. C. ’., Rosanova, M., Sarasso, S., Luxen, A., Salmon, É., Middleton, B., Massimini, M., et al. (2018) · NeuroImage · doi:10.1016/j.neuroimage.2018.03.055 · Cited by 21 · see citing works
Low-dimensional firing-rate dynamics for populations of renewal-type spiking neurons
Pietras, B., Gallice, N., & Schwalger, T. (2020) · Physical review. E · doi:10.1103/physreve.102.022407 · Cited by 21 · see citing works
- Authors
- Moran, R., Pinotsis, D. A., & Friston, K.
- Affiliations
- Wellcome Centre for Human Neuroimaging (GB)
- Corresponding author
- Moran, Rosalyn
- Venue
- Frontiers in Computational Neuroscience
- Publisher
- Frontiers Media SA
- Published
- 2013
- Volume
- 7
- Pages
- 57-57
- ISSN
- 1662-5188 (ISSN-L)
- PMC
- PMC3664834
- OpenAlex
- W2142039948
- Cited by
- 255
- References
- 100
- Citations by year
- 2026: 14 · 2025: 19 · 2024: 19 · 2023: 26 · 2022: 19 · 2021: 29 · 2020: 28 · 2019: 16 · 2018: 16 · 2017: 17 · 2016: 18 · 2015: 16 · 2014: 15 · 2013: 3
- FWCI
- 9.51
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- Frontiers in Computational Neuroscience (publishedVersion, cc-by)
- Europe PMC (PubMed Central) (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Research Portal (King's College London) (publishedVersion, other-oa)
- City Research Online (City University London) (acceptedVersion)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
- UCL Discovery (University College London) (submittedVersion)
- Bristol Research (University of Bristol) (submittedVersion)
- VTechWorks (Virginia Tech) (submittedVersion, cc-by)
- Funders
- Wellcome Trust (091593, 088130)
- Topics
- Life Sciences › Neuroscience › Cognitive Neuroscience › Neural dynamics and brain function
- Life Sciences › Neuroscience › Cognitive Neuroscience › Functional Brain Connectivity Studies
- Health Sciences › Medicine › Radiology, Nuclear Medicine and Imaging › Advanced Neuroimaging Techniques and Applications
- Keywords
- dynamic causal modeling, neural mass model, neural field models, conductance-based models, effective connectivity, ion channel dynamics, multiple resonances, structure-function relationship, EEG, magnetoencephalography, local field potentials, electrocorticography
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