A gradient flow formulation for the stochastic Amari neural field model.
Sign Up to like & getrecommendations! Published in 2019 at "Journal of mathematical biology"
DOI: 10.1007/s00285-019-01393-w
Abstract: We study stochastic Amari-type neural field equations, which are mean-field models for neural activity in the cortex. We prove that under certain assumptions on the coupling kernel, the neural field model can be viewed as… read more here.
Keywords: field; neural field; stochastic amari; gradient flow ... See more keywords
Neural field theory of neural avalanche exponents
Sign Up to like & getrecommendations! Published in 2021 at "Biological cybernetics"
DOI: 10.1007/s00422-021-00875-9
Abstract: The power-law exponents of observed size and lifetime distributions of near-critical neural avalanches are calculated from neural field theory using diagrammatic methods. This brings neural avalanches within the ambit of neural field theory, which has… read more here.
Keywords: neural avalanche; avalanche exponents; field theory; neural field ... See more keywords
Dynamics of delayed neural field models in two-dimensional spatial domains
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2022.02.002
Abstract: Delayed neural field models can be viewed as a dynamical system in an appropriate functional analytic setting. On two dimensional rectangular space domains, and for a special class of connectivity and delay functions, we describe… read more here.
Keywords: neural field; field models; equation; delayed neural ... See more keywords
Evoked response activity eigenmode analysis in a convoluted cortex via neural field theory.
Sign Up to like & getrecommendations! Published in 2020 at "Physical Review E"
DOI: 10.1103/physreve.102.062303
Abstract: Neural field theory of the corticothalamic system is used to explore evoked response potentials (ERPs) caused by spatially localized impulse stimuli on the convoluted cortex and on a spherical cortex. Eigenfunctions are calculated analytically on… read more here.
Keywords: spherical cortex; cortex; field theory; evoked response ... See more keywords
Synchrony-induced modes of oscillation of a neural field model.
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review E"
DOI: 10.1103/physreve.96.052407
Abstract: We investigate the modes of oscillation of heterogeneous ring networks of quadratic integrate-and-fire (QIF) neurons with nonlocal, space-dependent coupling. Perturbations of the equilibrium state with a particular wave number produce transient standing waves with a… read more here.
Keywords: modes oscillation; neural field; field model; state ... See more keywords
Neural field theory of effects of brain modifications and lesions on functional connectivity: Acute effects, short-term homeostasis, and long-term plasticity.
Sign Up to like & getrecommendations! Published in 2019 at "Physical review. E"
DOI: 10.1103/physreve.99.042407
Abstract: Neural field theory is used to predict the functional connectivity effects of lesions or other modifications to effective connectivity. Widespread initial changes are predicted after localized or diffuse changes to white or gray matter, consistent… read more here.
Keywords: term; functional connectivity; connectivity; neural field ... See more keywords
DNF: diffractive neural field for lensless microscopic imaging.
Sign Up to like & getrecommendations! Published in 2022 at "Optics express"
DOI: 10.1364/oe.455360
Abstract: Lensless imaging has emerged as a robust means for the observation of microscopic scenes, enabling vast applications like whole-slide imaging, wave-front detection and microfluidic on-chip imaging. Such system captures diffractive measurements in a compact optical… read more here.
Keywords: neural field; diffractive neural; field; complex field ... See more keywords
A neural field model for color perception unifying assimilation and contrast
Sign Up to like & getrecommendations! Published in 2019 at "PLoS Computational Biology"
DOI: 10.1371/journal.pcbi.1007050
Abstract: We address the question of color-space interactions in the brain, by proposing a neural field model of color perception with spatial context for the visual area V1 of the cortex. Our framework reconciles two opposing… read more here.
Keywords: color; neural field; model color; field model ... See more keywords
Neural Field Theory of Corticothalamic Prediction With Control Systems Analysis
Sign Up to like & getrecommendations! Published in 2018 at "Frontiers in Human Neuroscience"
DOI: 10.3389/fnhum.2018.00334
Abstract: Neural field theory is used to model and analyze realistic corticothalamic responses to simple visual stimuli. This yields system transfer functions that embody key features in common with those of engineering control systems, which enables… read more here.
Keywords: control systems; control; theory corticothalamic; field theory ... See more keywords
Neural Field Theory of Evoked Response Sequences and Mismatch Negativity With Adaptation
Sign Up to like & getrecommendations! Published in 2021 at "Frontiers in Human Neuroscience"
DOI: 10.3389/fnhum.2021.655505
Abstract: Physiologically based neural field theory of the corticothalamic system is used to calculate the responses evoked by trains of auditory stimuli that correspond to different cortical locations via the tonotopic map. The results are shown… read more here.
Keywords: adaptation; field theory; mismatch negativity; neural field ... See more keywords