On Two-Layer Hierarchical Networks How Does the Brain Do This?

Author(s):  
Valeriu Beiu ◽  
Basheer A. M. Madappuram ◽  
Peter M. Kelly ◽  
Liam J. McDaid
Author(s):  
Sanjukta Krishnagopal ◽  
Judith Lehnert ◽  
Winnie Poel ◽  
Anna Zakharova ◽  
Eckehard Schöll

We investigate complex synchronization patterns such as cluster synchronization and partial amplitude death in networks of coupled Stuart–Landau oscillators with fractal connectivities. The study of fractal or self-similar topology is motivated by the network of neurons in the brain. This fractal property is well represented in hierarchical networks, for which we present three different models. In addition, we introduce an analytical eigensolution method and provide a comprehensive picture of the interplay of network topology and the corresponding network dynamics, thus allowing us to predict the dynamics of arbitrarily large hierarchical networks simply by analysing small network motifs. We also show that oscillation death can be induced in these networks, even if the coupling is symmetric, contrary to previous understanding of oscillation death. Our results show that there is a direct correlation between topology and dynamics: hierarchical networks exhibit the corresponding hierarchical dynamics. This helps bridge the gap between mesoscale motifs and macroscopic networks. This article is part of the themed issue ‘Horizons of cybernetical physics’.


2019 ◽  
Author(s):  
Tomer Fekete ◽  
Hermann Hinrichs ◽  
Jacobo Diego Sitt ◽  
Hans-Jochen Heinze ◽  
Oren Shriki

ABSTRACTThe brain is universally regarded as a system for processing information. If so, any behavioral or cognitive dysfunction should lend itself to depiction in terms of information processing deficiencies. Information is characterized by recursive, hierarchical complexity. The brain accommodates this complexity by a hierarchy of large/slow and small/fast spatiotemporal loops of activity. Thus, successful information processing hinges upon tightly regulating the spatiotemporal makeup of activity, to optimally match the underlying multiscale delay structure of such hierarchical networks. Reduced capacity for information processing will then be expressed as deviance from this requisite multiscale character of spatiotemporal activity. This deviance is captured by a general family of multiscale criticality measures (MsCr). We applied MsCr to MEG and EEG data in four telling degraded information processing scenarios: disorders of consciousness, mild cognitive impairment, schizophrenia and preictal activity. Consistently with our previous modeling work, MsCr measures systematically varied with information processing capacity. MsCr measures might thus be able to serve as general gauges of information processing capacity and, therefore, as normative measures of brain health.


2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Tomer Fekete ◽  
Hermann Hinrichs ◽  
Jacobo Diego Sitt ◽  
Hans-Jochen Heinze ◽  
Oren Shriki

AbstractThe brain is universally regarded as a system for processing information. If so, any behavioral or cognitive dysfunction should lend itself to depiction in terms of information processing deficiencies. Information is characterized by recursive, hierarchical complexity. The brain accommodates this complexity by a hierarchy of large/slow and small/fast spatiotemporal loops of activity. Thus, successful information processing hinges upon tightly regulating the spatiotemporal makeup of activity, to optimally match the underlying multiscale delay structure of such hierarchical networks. Reduced capacity for information processing will then be expressed as deviance from this requisite multiscale character of spatiotemporal activity. This deviance is captured by a general family of multiscale criticality measures (MsCr). MsCr measures reflect the behavior of conventional criticality measures (such as the branching parameter) across temporal scale. We applied MsCr to MEG and EEG data in several telling degraded information processing scenarios. Consistently with our previous modeling work, MsCr measures systematically varied with information processing capacity: MsCr fingerprints showed deviance in the four states of compromised information processing examined in this study, disorders of consciousness, mild cognitive impairment, schizophrenia and even during pre-ictal activity. MsCr measures might thus be able to serve as general gauges of information processing capacity and, therefore, as normative measures of brain health.


2021 ◽  
Vol 4 ◽  
Author(s):  
Sascha Frölich ◽  
Dimitrije Marković ◽  
Stefan J. Kiebel

Various imaging and electrophysiological studies in a number of different species and brain regions have revealed that neuronal dynamics associated with diverse behavioral patterns and cognitive tasks take on a sequence-like structure, even when encoding stationary concepts. These neuronal sequences are characterized by robust and reproducible spatiotemporal activation patterns. This suggests that the role of neuronal sequences may be much more fundamental for brain function than is commonly believed. Furthermore, the idea that the brain is not simply a passive observer but an active predictor of its sensory input, is supported by an enormous amount of evidence in fields as diverse as human ethology and physiology, besides neuroscience. Hence, a central aspect of this review is to illustrate how neuronal sequences can be understood as critical for probabilistic predictive information processing, and what dynamical principles can be used as generators of neuronal sequences. Moreover, since different lines of evidence from neuroscience and computational modeling suggest that the brain is organized in a functional hierarchy of time scales, we will also review how models based on sequence-generating principles can be embedded in such a hierarchy, to form a generative model for recognition and prediction of sensory input. We shortly introduce the Bayesian brain hypothesis as a prominent mathematical description of how online, i.e., fast, recognition, and predictions may be computed by the brain. Finally, we briefly discuss some recent advances in machine learning, where spatiotemporally structured methods (akin to neuronal sequences) and hierarchical networks have independently been developed for a wide range of tasks. We conclude that the investigation of specific dynamical and structural principles of sequential brain activity not only helps us understand how the brain processes information and generates predictions, but also informs us about neuroscientific principles potentially useful for designing more efficient artificial neuronal networks for machine learning tasks.


2012 ◽  
Vol 25 (0) ◽  
pp. 57
Author(s):  
Shinji Karasawa

The brain intermittently captures a representation of outer world through multiple sensors. It does not need a feedback circuit, because the renewed operation will be soon processed. The brain is able to run independently from the real world. But the operation is carried out by the memory that was implemented through its experiences. Activity of human is always biased by a motivational state. But it is a current activated state of the brain in which model of outer world is involved. A newborn baby makes behavior without motivation. The first stage of self-organizing intelligent system does not know the desired goal, because the neuron does not distinguish afferent pathway and efferent pathway. A neuron is considered as a representation of its inputs. The representation on intermittent concurrent stimuli is memorized at the activity. The stimuli captured from various monitors make sub-groups partially. The representation of a part is shared in the network of neurons. Although the result of reaction will change the situation, the implemented circuits are used for the next reaction. The brain works by partial activations of the hierarchical networks of the representations. An intelligent electronic impulse driven circuit was manufactured in order to demonstrate as a simple model of the open-loop controller. Each activated state of the model is transferred to the activated state specified by the impulse that comes from individual input.


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