Authors: Arturo Tozzi
The Borsuk-Ulam theorem is a general principle able to describe a large amount of brain functions. However, when assessing the neurodata extracted from EEG and fMRI, the BUT-related methods, based on projections and mappings among different functional brain dimensions, are impractical and computationally expensive. Here we show how the BUT’s antipodal features with matching description (say, two far apart brain areas that are activated simultaneously and display the same value of entropy) can be described in terms of closed paths on a Möbius strip. This allows to evaluate the nervous system’s dynamics in terms of trajectories taking place onto the well-established, easily manageable phase space of a twisted cylinder.
Comments: 5 Pages.
[v1] 2018-03-19 07:56:15
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