Neural Networks

MacGregor, Ronald J.

doi:10.1016/b978-0-12-464260-7.50017-1

Cited by 17 publications

(21 citation statements)

References 299 publications

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“…For this, we adopted a generic neuron model of MacGregor (1987) with a modification to make it more compatible with the properties of cochlear nucleus neurons. The model has a number of parameters that can be independently varied to achieve particular properties of current-voltage or spike discharge behavior.…”

Section: Methodsmentioning

confidence: 99%

Neural modeling of intrinsic and spike-discharge properties of cochlear nucleus neurons

Arle

Kim

1991

Biol. Cybern.

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The purpose of this study was to develop neurobiologically plausible models to account for the response properties of several types of cochlear nucleus neurons. Three cell types--the bushy cells, stellate cells, and fusiform cells--were selected because useful data from intracellular recordings were available for these cell types, and because these three cell types exhibit distinct contrasts in their neuronal signal coding strategies. Stellate cells have primarily linear current-voltage (I-V) characteristics, but both bushy and fusiform cells have highly non-linear I-V characteristics. In light of this, we hypothesize that some of these cells have non-linear voltage-dependent conductances which alter their response properties. We modeled the bushy cell membrane conductance as an exponentially increasing function of membrane voltage, that of the fusiform cell as an exponentially decreasing function of the voltage, and that of the stellate cell as being voltage-independent. We have combined the voltage-dependent non-linear conductances of the cell membrane with a simple R-C circuit type of neuron model. These models reproduced the salient features of the experimentally observed I-V characteristics of the cells. In addition, we found that the models reproduced the spike discharge behavior to intracellularly injected current steps. Moreover, a more detailed study of stellate cell 'chopper'-type response patterns yielded hypotheses regarding the nature of the current that must exist at the soma during a pure-tone stimulus in order for the cells to exhibit various chopper subtype patterns, such as chop-S, chop-T, and Oc. The chop-S pattern requires a steady average current level with a relatively small variability during the tone-burst stimulus. The chop-T pattern, in contrast, requires that the current become more irregular during the tone-burst stimulus. The Oc pattern arises, however, when the input is similar to the chop-T case but the intrinsic properties of the cell model have been changed to increase the accommodation of the threshold. The implications of these findings for circuitry in the cochlear nucleus are discussed. Our analysis of these models revealed that this approach can be used to simulate neuronal cell types where I-V characteristics are known but more detailed ion channel data are not known.

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Section: Methodsmentioning

confidence: 99%

Neural modeling of intrinsic and spike-discharge properties of cochlear nucleus neurons

Arle

Kim

1991

Biol. Cybern.

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“…The basic electrical circuit that describes each model neuron is taken from the original work by MacGregor [32] but modified to include additional conductances the cell may have and account for the nonlinear current-voltage relationship thereby generated. This is a 'lumped' conductance term, Gb, in the circuit in figure 1 .…”

Section: Methodsmentioning

confidence: 99%

Modeling Parkinsonian Circuitry and the DBS Electrode

Arle¹,

Mei²,

Shils³

2007

Stereotact Funct Neurosurg

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Deep brain stimulation (DBS) of the subthalamic nucleus (STN) for Parkinson’s disease (PD) has become routine over the past decade, utilizing microelectrode recordings to ensure accurate placement of the stimulating electrodes. The clinical benefits of STN DBS for PD are well documented, but the mechanisms by which DBS achieves these results remain elusive. We have created a closed-form mathematical function of the potential field generated by a typical 4-contact DBS electrode and inserted this function into a computational model designed to simulate individual neurons and neural circuitry of significant portions of the basal ganglia. We present the mathematical function representing the potential field itself and the basis for the neural circuitry modeling in this paper.

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“…Let us mention that the brain functions are modelled by means of neural network systems in literature, see for instance [5,6]. Neural networks are considered in many books and monographs, see for instance [7].…”

Section: Whole Systemmentioning

confidence: 99%

On Methodology of Constructing of Physical Theories

2016

Jour. Pure Appl. Math. Adv. Appl.

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In this paper, we discuss methodology of constructing of physical theories.Within this methodology, one accentuates the problem how to estimate whether mathematics applied to description of physical processes really reflects reality.To this end status of assumptions introduced for theory which is constructed and status of theory are discussed. The term "status of theory" is introduced instead of the term "true theory". This step allows us to estimate to what degree the theory approximates reality. The term "true" is seen as too radical for estimation of degree of this approximation. Discussion is carried out in context provided by evolving dynamical system which can realize cognition process.Within this approach, implication is associated with action of the dynamical system and by this differs from alternative, conjunction, and negation. We consider status of assumptions with respect to terms induced by dynamical systems, status of assumptions with respect to length of infering leading to introduction of these assumptions and status of theory as such having in mind its universality and fundamental properties. One discusses relation of experimental data and theories which interpret corresponding experimental results. Status of various assumptions and theories of contemporary theoretical JAROSŁAW KACZMAREK 24 physics is estimated as examples. Role of theories which have low status is considered in context of recognition of reality.

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Neural Networks

Cited by 17 publications

References 299 publications

Neural modeling of intrinsic and spike-discharge properties of cochlear nucleus neurons

Neural modeling of intrinsic and spike-discharge properties of cochlear nucleus neurons

Modeling Parkinsonian Circuitry and the DBS Electrode

On Methodology of Constructing of Physical Theories

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