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Cognitive Neurodynamics

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14.03.2017 | Research Article

From abstract topology to real thermodynamic brain activity

verfasst von: Arturo Tozzi, James F. Peters

Erschienen in: Cognitive Neurodynamics | Ausgabe 3/2017

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Abstract

Recent approaches to brain phase spaces reinforce the foremost role of symmetries and energy requirements in the assessment of nervous activity. Changes in thermodynamic parameters and dimensions occur in the brain during symmetry breakings and transitions from one functional state to another. Based on topological results and string-like trajectories into nervous energy landscapes, we provide a novel method for the evaluation of energetic features and constraints in different brain functional activities. We show how abstract approaches, namely the Borsuk–Ulam theorem and its variants, may display real, energetic physical counterparts. When topology meets the physics of the brain, we arrive at a general model of neuronal activity, in terms of multidimensional manifolds and computational geometry, that has the potential to be operationalized.

Vorheriger Artikel A plausible neural circuit for decision making and its formation based on reinforcement learning

Nächster Artikel Global asymptotic stability of complex-valued neural networks with additive time-varying delays

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Titel: From abstract topology to real thermodynamic brain activity
verfasst von: Arturo Tozzi
James F. Peters
Publikationsdatum: 14.03.2017
Verlag: Springer Netherlands
Erschienen in: Cognitive Neurodynamics / Ausgabe 3/2017
Print ISSN: 1871-4080
Elektronische ISSN: 1871-4099
DOI: https://doi.org/10.1007/s11571-017-9431-7

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