Spike, rate, field, and hybrid methods for treating neuronal dynamics and interactions

Robinson, P. A.; Kim, J.W.

doi:10.1016/j.jneumeth.2012.01.018

Cited by 15 publications

(29 citation statements)

References 40 publications

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“…Each of these processes involves its own dynamics and time delays and results in low pass filtering and temporal smoothing of the original spike until the soma response is spread over a time interval that is typically tens of ms, exhibiting a fast rise and an approximately exponential decay [3, 60]. …”

Section: Neural Field Theorymentioning

confidence: 99%

NFTsim: Theory and Simulation of Multiscale Neural Field Dynamics

et al. 2018

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A user ready, portable, documented software package, NFTsim, is presented to facilitate numerical simulations of a wide range of brain systems using continuum neural field modeling. NFTsim enables users to simulate key aspects of brain activity at multiple scales. At the microscopic scale, it incorporates characteristics of local interactions between cells, neurotransmitter effects, synaptodendritic delays and feedbacks. At the mesoscopic scale, it incorporates information about medium to large scale axonal ranges of fibers, which are essential to model dissipative wave transmission and to produce synchronous oscillations and associated cross-correlation patterns as observed in local field potential recordings of active tissue. At the scale of the whole brain, NFTsim allows for the inclusion of long range pathways, such as thalamocortical projections, when generating macroscopic activity fields. The multiscale nature of the neural activity produced by NFTsim has the potential to enable the modeling of resulting quantities measurable via various neuroimaging techniques. In this work, we give a comprehensive description of the design and implementation of the software. Due to its modularity and flexibility, NFTsim enables the systematic study of an unlimited number of neural systems with multiple neural populations under a unified framework and allows for direct comparison with analytic and experimental predictions. The code is written in C++ and bundled with Matlab routines for a rapid quantitative analysis and visualization of the outputs. The output of NFTsim is stored in plain text file enabling users to select from a broad range of tools for offline analysis. This software enables a wide and convenient use of powerful physiologically-based neural field approaches to brain modeling. NFTsim is distributed under the Apache 2.0 license.

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Section: Neural Field Theorymentioning

confidence: 99%

NFTsim: Theory and Simulation of Multiscale Neural Field Dynamics

et al. 2018

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“…1) [2] reproducible by the Bessel function behavior. Since Bessel equations have a time dependent representation in terms of couples of equations, each couple containing one equation for a damped oscillator, the other one for an amplified oscillator, both with time dependent frequency, we are motivated to study the observed neural processes in terms of these oscillators, which is also consistent with the fact that consideration of dynamics in the continuum of the wave mode cannot be omitted, as it appears from the experimental observations we start with, as well as from other data and analysis [3][4][5] (see also Appendix A) showing that pulses and wave modes coexist simultaneously in the dynamics of neural populations, whose understanding thus requires to consider both of them.…”

Section: Introductionmentioning

confidence: 67%

Bessel functions in mass action modeling of memories and remembrances

et al. 2015

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Data from experimental observations of certain brain functions, such as impulse responses of cortex to electric shocks (average evoked potentials), related with the coexistence of pulses and wave modes in the dynamics of a class of neurological processes (Freeman K-sets), present functional distribution reproducing the Bessel function behavior. This suggests the possibility to replace ordinary differential equations, typically used to model data bases concerning such processes, with couples of damped/amplified oscillators which provide time dependent representation of spherical Bessel equation. The root loci of poles and zeros of the equation solutions are shown to conform to solutions of K-sets. One advantage of the present formalism is that some light is shed on the problem of filling the gap between the behavior at cellular level and the macroscopic dynamics involved in the traffic between the brain and its environment. Breakdown of time-reversal symmetry in each of the (damped and amplified) oscillators is related with the cortex thermodynamic features. This is proposed to be a possible mechanism to deduce lifetime of recorded memory.

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“…Scales from this level upward are particularly suited to studying white-matter connectivity in the brain, for example, as required here. Closely related methods can also be used to treat discrete networks of neural populations, each with large numbers of constituent neurons [42,43]. Fields can also carry spikes, rather than rates, between neurons under many circumstances [43].…”

Section: Introductionmentioning

confidence: 99%

“…Closely related methods can also be used to treat discrete networks of neural populations, each with large numbers of constituent neurons [42,43]. Fields can also carry spikes, rather than rates, between neurons under many circumstances [43]. Implementation via neural field theory (NFT) is thus carried out in the present work and used to illustrate the results in test cases.…”

Section: Introductionmentioning

confidence: 99%

Determination of effective brain connectivity from functional connectivity using propagator-based interferometry and neural field theory with application to the corticothalamic system

Robinson

2014

Phys. Rev. E

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It is shown how to compute both direct and total effective connection matrices (deCMs and teCMs), which embody the strengths of neural connections between regions, from correlation-based functional CMs using propagator-based interferometry, a method that stems from geophysics and acoustics, coupled with the recent identification of deCMs and teCMs with bare and dressed propagators, respectively. The approach incorporates excitatory and inhibitory connections, multiple structures and populations, and measurement effects. The propagator is found for a generalized scalar wave equation derived from neural field theory, and expressed in terms of neural activity correlations and covariances, and wave damping rates. It is then related to correlation matrices that are commonly used to express functional and effective connectivities in the brain. The results are illustrated in analytically tractable test cases.

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Spike, rate, field, and hybrid methods for treating neuronal dynamics and interactions

Cited by 15 publications

References 40 publications

NFTsim: Theory and Simulation of Multiscale Neural Field Dynamics

NFTsim: Theory and Simulation of Multiscale Neural Field Dynamics

Bessel functions in mass action modeling of memories and remembrances

Determination of effective brain connectivity from functional connectivity using propagator-based interferometry and neural field theory with application to the corticothalamic system

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