Information Processing in the Brain as Optimal Entropy Transport: A Theoretical Approach

We consider brain activity from an information theoretic perspective. We analyze the information processing in the brain, considering the optimality of Shannon entropy transport using the Monge-Kantorovich framework. It is proposed that some of these processes satisfy an optimal transport of informa...

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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2020-10, Vol.22 (11), p.1231
Main Authors: Islas, Carlos, Padilla, Pablo, Prado, Marco Antonio
Format: Article
Language:English
Subjects:
informational entropy
Monge–Ampère equation
Murray’s law
neuroscience
optimal transport
variational calculus
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Summary:We consider brain activity from an information theoretic perspective. We analyze the information processing in the brain, considering the optimality of Shannon entropy transport using the Monge-Kantorovich framework. It is proposed that some of these processes satisfy an optimal transport of informational entropy condition. This optimality condition allows us to derive an equation of the Monge-Ampère type for the information flow that accounts for the branching structure of neurons via the linearization of this equation. Based on this fact, we discuss a version of Murray's law in this context.
ISSN:1099-4300
1099-4300
DOI:10.3390/e22111231