Brain tissue tessellation shows absence of canonical microcircuits

Peters, James F.; Tozzi, Arturo; Ramanna, Sheela

doi:10.1016/j.neulet.2016.03.052

Cited by 18 publications

(13 citation statements)

References 27 publications

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“…So far, neurobiological studies agree upon cortex-wide characteristics such as lamination, biophysical properties of dominant types of neurons, as well as target and source layers of transmitted signals [ 6 , 53 ]. Note, however, that this concept is not entirely undisputed [ 54 , 55 ].…”

Section: Discussionmentioning

confidence: 99%

A model of individualized canonical microcircuits supporting cognitive operations

et al. 2017

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Major cognitive functions such as language, memory, and decision-making are thought to rely on distributed networks of a large number of basic elements, called canonical microcircuits. In this theoretical study we propose a novel canonical microcircuit model and find that it supports two basic computational operations: a gating mechanism and working memory. By means of bifurcation analysis we systematically investigate the dynamical behavior of the canonical microcircuit with respect to parameters that govern the local network balance, that is, the relationship between excitation and inhibition, and key intrinsic feedback architectures of canonical microcircuits. We relate the local behavior of the canonical microcircuit to cognitive processing and demonstrate how a network of interacting canonical microcircuits enables the establishment of spatiotemporal sequences in the context of syntax parsing during sentence comprehension. This study provides a framework for using individualized canonical microcircuits for the construction of biologically realistic networks supporting cognitive operations.

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Section: Discussionmentioning

confidence: 99%

A model of individualized canonical microcircuits supporting cognitive operations

et al. 2017

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“…The correlation between black hole's surface and HP allows a fibre bundle representation, standing for an algorithm that can be implemented in softwares. The BUT approaches [28,29] are fruitful, because they allow the formulation of intriguing theoretical claims, suggesting a) the possible presence of antipodal positive and negative masses on black hole horizons and b) a feature encompassed in an unentangled state characterized by absence of time might give rise to entangled particles, when mapped to a four-dimensional spacetime. Because 't Hooft tackles antipodal entangled quantum states in terms of opposite points on a S 3 hypersphere, his account might hold also for the 4-dimensional Minkowskian manifold of the general relativity.…”

Section: -Conclusionmentioning

confidence: 99%

Topology of Black Holes’ Horizons

Tozzi

Peters

2019

Emerg Sci J

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The Möbius strip spacetime topology and the entangled antipodal points on black hole surfaces, recently described by ‘t Hooft, display an unnoticed relationship with the Borsuk-Ulam theorem from algebraic topology. Considering this observation and other recent claims which suggest that quantum entanglement takes place on the antipodal points of a S3 hypersphere, a novel topological framework can be developed: a feature encompassed in an S2 unentangled state gives rise, when projected one dimension higher, to two entangled particles. This allows us to achieve a mathematical description of the holographic principle occurring in S2. Furthermore, our observations let us to hypothesize that a) quantum entanglement might occur in a four-dimensional spacetime, while disentanglement might be achieved on a motionless, three-dimensional manifold; b) a negative mass might exist on the surface of a black hole.

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“…open-3 o It is well-known that real elementary particles can have the form of knots [18], which have various forms in knot theory [45]. open-11 o Brain tissue tessellation shows an absence of canonical microcircuits [40]. For related work on donut-like trajectories along preferential brain railways, shaped as a torus, see, e.g., [46].…”

Section: Topology On Vortex Cycle Spacesmentioning

confidence: 99%

Proximal vortex cycles and vortex nerve structures. Non-concentric, nesting, possibly overlapping homology cell complexes

Peters

2018

Journal of Mathematical Sciences and Modelling

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This article introduces proximal planar vortex 1-cycles, resembling the structure of vortex atoms introduced by William Thomson (Lord Kelvin) in 1867 and recent work on the proximity of sets that overlap either spatially or descriptively. Vortex cycles resemble Thomson's model of a vortex atom, inspired by P.G. Tait's smoke rings. A vortex cycle is a collection of non-concentric, nesting 1-cycles with nonempty interiors (i.e., a collection of 1-cycles that share a nonempty set of interior points and which may or may not overlap). Overlapping 1-cycles in a vortex yield an Edelsbrunner-Harer nerve within the vortex. Overlapping vortex cycles constitute a vortex nerve complex. Several main results are given in this paper, namely, a Whitehead CW topology and a Leader uniform topology are outcomes of having a collection of vortex cycles (or nerves) equipped with a connectedness proximity and the case where each cluster of closed, convex vortex cycles and the union of the vortex cycles in the cluster have the same homotopy type.2010 Mathematics Subject Classification. 54E05 (Proximity); 55R40 (Homology); 68U05 (Computational Geometry).

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Brain tissue tessellation shows absence of canonical microcircuits

Cited by 18 publications

References 27 publications

A model of individualized canonical microcircuits supporting cognitive operations

A model of individualized canonical microcircuits supporting cognitive operations

Topology of Black Holes’ Horizons

Proximal vortex cycles and vortex nerve structures. Non-concentric, nesting, possibly overlapping homology cell complexes

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