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Renormalization Group and Statistical Model of Spikes in the Brain | | Eiji Konishi
; | | Date: |
29 May 2010 | | Abstract: | We consider a linearized and continuous toy model of neural networks.
Invoking the Eguchi-Kawai large N reduction, we show that when the number of
neurons is exponentially large, the d.o.f. of the dynamics on the network can
be completely removed. Owing to this feature of the model, we can
microscopically reconstruct the spikes in the neural network from the thermal
dissipative quantum d.o.f. of quantum electric dipole fields of intracellular
and extracellular ions and water in the perimembranous region and the quantum
d.o.f. of quantum radiative electromagnetic fields interacting with them and
incorporate L. M. Ricciardi and H. Umezawa’s proposal on memory. | | Source: | arXiv, 1005.5430 | | Services: | Forum | Review | PDF | Favorites | |
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