Waves, Pulses, and the Theory of Neural Masses

Freeman, Walter

doi:10.1016/b978-0-12-543102-6.50010-8

Cited by 57 publications

(38 citation statements)

References 89 publications

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“…Classical theories of intracellular potentials propose that there exists a standing gradient-a continuous current-between dendritic and axonal poles of neurons (Bullock 1997). Intercellular interactions can also be described in terms of a continuum, meaning that a continuous function may be derived by appropriate transformations to describe the active state of the whole set of neurons (Freeman 1972). The theoretical roots of this so called dynamicism are derived from the mathematical theory known as ''dynamical systems theory,'' which uses sets of differential equations to describe the evolution of a system through time (Eliasmith 2001).…”

Section: Neurophysiological and Computational Support For Continuity mentioning

confidence: 99%

Timing in cognition and EEG brain dynamics: discreteness versus continuity

2006

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This article provides an overview of recent developments in solving the timing problem (discreteness vs. continuity) in cognitive neuroscience. Both theoretical and empirical studies have been considered, with an emphasis on the framework of operational architectonics (OA) of brain functioning (Fingelkurts and Fingelkurts in Brain Mind 2:291-29, 2001; Neurosci Biobehav Rev 28:827-836, 2005). This framework explores the temporal structure of information flow and interarea interactions within the network of functional neuronal populations by examining topographic sharp transition processes in the scalp EEG, on the millisecond scale. We conclude, based on the OA framework, that brain functioning is best conceptualized in terms of continuity-discreteness unity which is also the characteristic property of cognition. At the end we emphasize where one might productively proceed for the future research.

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Section: Neurophysiological and Computational Support For Continuity mentioning

confidence: 99%

Timing in cognition and EEG brain dynamics: discreteness versus continuity

2006

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“…Perhaps the most strident defender of the dynamical systems perspective is Walter J. Freeman (1972Freeman ( , 2000.…”

Section: Between Algorithm and Implementationmentioning

confidence: 99%

Logic and Complexity in Cognitive Science

Isaac

Szymanik

Verbrugge

2014

Outstanding Contributions to Logic

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“…Recurrent excitation serves to synchronize clusters of action potentials among members of a neuronal population (MacGregor & Palasek, 1974). Recurrent inhibition uses negative feedback to generate coordinated rhythmicity in the output of a neuron population (Anderson & Andersson, 1968;Freeman, 1972). However, there is no theory for these arrangements comparable to the theory of lateral inhibition in veracity or generality.…”

Section: E Elucidation Of Operating Principlesmentioning

confidence: 99%

“…The significance of the theory and experimental verification are discussed. Previous theoretical work related to this problem has been presented by Rall (1955), Lindsay (19701, Anninos, Beek, Csermely, Harth, andPertile (1970), andFreeman (1972).…”

Section: E Elucidation Of Operating Principlesmentioning

confidence: 99%

Theory of monosynaptic transfer between neuron populations

MacGregor¹,

McMullen²

1977

Syst. Res.

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This paper presents a theory for the input-output transformation involved in diffuse monosynaptic activation in a neural tissue or organ system of one population of neurons by another. Main findings are: (1) highly diffuse monosynaptic linkages act very much like filters, selectively sensitive to synchronized clusters of action potentials among the fibers of the input population; (2) partially diffuse monosynaptic linkages are capable of effecting either an amplification or diminution of the number of pulses involved in a single synchronized cluster, depending on parameters of the system; and (3) partially diffuse and spatially organized monosynaptic linkages are capable of effecting a spatial inversion of fine-grained spatial patterns. Theoretical predictions are clarified by mathematical analysis and computer simulation.

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Waves, Pulses, and the Theory of Neural Masses

Cited by 57 publications

References 89 publications

Timing in cognition and EEG brain dynamics: discreteness versus continuity

Timing in cognition and EEG brain dynamics: discreteness versus continuity

Logic and Complexity in Cognitive Science

Theory of monosynaptic transfer between neuron populations

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