Download Cognitive Phase Transitions in the Cerebral Cortex - by Robert Kozma, Walter J. Freeman PDF

By Robert Kozma, Walter J. Freeman

This exciting e-book was once born out of the various discussions the authors had some time past 10 years in regards to the function of scale-free constitution and dynamics in generating clever habit in brains.
The microscopic dynamics of neural networks is easily defined by means of the present paradigm dependent in a slim interpretation of the neuron doctrine. This publication broadens the doctrine by way of incorporating the dynamics of neural fields, as first printed through modeling with differential equations (K-sets). The ebook broadens that procedure via software of random graph thought (neuropercolation). The ebook concludes with various commentaries that exemplify the wide variety of mathematical/conceptual techniques to neural fields.
This publication is meant for researchers, postdocs, and graduate scholars, who see the restrictions of community conception and search a beachhead from which to embark on mesoscopic and macroscopic neurodynamics.

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Eur Phys J Spec Top 205(1):243–257 47. Bak P (1996) How nature works the science of self-organized criticality. Springer, New York 48. Beggs JM (2008) The criticality hypothesis: how local cortical networks might optimize information processing. Philos Trans R Soc A: Math, Phys Eng Sci 366(1864):329–343 49. Petermann T, Thiagarajan TC, Lebedev MA, Nicolelis MA, Chialvo DR, Plenz D (2009) Spontaneous cortical activity in awake monkeys composed of neuronal avalanches. Proc Natl Acad Sci 106(37):15921–15926 50.

The constraints were represented by a low-dimensional attractor governing AM/PM pattern formation. A sharp discontinuity in the analytic frequency demarcated the transition just prior to the appearance of new AM/PM patterns. 6 Experimental Observation of Singularity We found three markers for a singularity in cortical dynamics in ECoG data, which are summarized as follows: 1. The location of the apex of the conic phase modulation pattern. 2. Vortex formation with a center of clockwise or counterclockwise rotation in highresolution ECoG image sequences.

Freeman WJ, Livi R, Obinata M, Vitiello G (2012) Cortical phase transitions, nonequilibrium thermodynamics and time-dependent Ginzburg-Landau equation. Int J Mod Phys B 26(06):1250035 30. Freeman WJ, Kozma R, Vitiello G (2012) Adaptation of the generalized Carnot cycle to describe thermodynamics of cerebral cortex. In: The 2012 international joint conference on neural networks (IJCNN). IEEE, pp 1–8 31. Raichle ME (2006) The brain’s dark energy. Science 314:1249–1250 32. Barrie JM, Freeman WJ, Lenhart M (1996) Modulation by discriminative training of spatial patterns of gamma EEG amplitude and phase in neocortex of rabbits.

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