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Deciphering the underpinnings of the dynamical processes leading to information transmission, processing, and storing in the brain is a crucial challenge in neuroscience. An inspiring but speculative theoretical idea is that such dynamics…

统计力学 · 物理学 2023-07-21 Guillermo B. Morales , Serena Di Santo , Miguel A. Muñoz

In this paper, we present some results on information, complexity and entropy as defined below and we discuss their relations with the Kolmogorov-Sinai entropy which is the most important invariant of a dynamical system. These results have…

动力系统 · 数学 2019-08-17 Vieri Benci , Claudio Bonanno , Stefano Galatolo , Giulia Menconi , Federico Ponchio

What is the most crucial characteristic of a system with life activity? Currently, many theories have attempted to explain the most essential difference between living systems and general systems, such as the self-organization theory and…

分子网络 · 定量生物学 2025-01-29 Mingzhe Yang , Linli Pan , Jiang Zhang

Understanding how information about external stimuli is transformed into behavior is one of the central goals of neuroscience. Here we characterize the information flow through a complete sensorimotor circuit: from stimulus, to sensory…

神经元与认知 · 定量生物学 2015-10-15 Eduardo J. Izquierdo , Paul L. Williams , Randall D. Beer

A computer model is described which is used to assess the dynamical complexity of a class of networks of spiking neurons with small-world properties. Networks are constructed by forming an initially segregated set of highly intra-connected…

生物物理 · 物理学 2009-11-13 Murray Shanahan

Biological cortical networks are potentially fully recurrent networks without any distinct output layer, where recognition may instead rely on the distribution of activity across its neurons. Because such biological networks can have rich…

神经元与认知 · 定量生物学 2022-11-14 Pakorn Uttayopas , Xiaoxiao Cheng , Udaya Bhaskar Rongala , Henrik Jörntell , Etienne Burdet

Quantification of complexity in neurophysiological signals has been studied using different methods, especially those from information or dynamical system theory. These studies revealed the dependence on different states of consciousness,…

神经元与认知 · 定量生物学 2017-01-26 D. M. Mateos , R. Guevara Erra , R. Wennberg , J. L. Perez Velazquez

Brains process information through the collective dynamics of large neural networks. Collective chaos was suggested to underlie the complex ongoing dynamics observed in cerebral cortical circuits and determine the impact and processing of…

混沌动力学 · 物理学 2020-06-04 Rainer Engelken , Fred Wolf , L. F. Abbott

The dynamics of complex systems generally include high-dimensional, non-stationary and non-linear behavior, all of which pose fundamental challenges to quantitative understanding. To address these difficulties we detail a new approach based…

定量方法 · 定量生物学 2020-09-11 Antonio Carlos Costa , Tosif Ahamed , Greg J. Stephens

Understanding how neural dynamics shape cognitive experiences remains a central challenge in neuroscience and psychiatry. Here, we present a novel framework leveraging state-to-output controllability from dynamical systems theory to model…

We calculate a measure of statistical complexity from the global dynamics of electroencephalographic (EEG) signals from healthy subjects and epileptic patients, and are able to stablish a criterion to characterize the collective behavior in…

适应与自组织系统 · 物理学 2015-05-13 M. Escalona-Moran , M. G. Cosenza , R. Lopez-Ruiz , P. Garcia

Complexity measures in the context of the Integrated Information Theory of consciousness try to quantify the strength of the causal connections between different neurons. This is done by minimizing the KL-divergence between a full system…

统计方法学 · 统计学 2021-02-09 Carlotta Langer , Nihat Ay

Complex systems are typically characterized as an intermediate situation between a complete regular structure and a random system. Brain signals can be studied as a striking example of such systems: cortical states can range from highly…

Demystifying effective connectivity among neuronal populations has become the trend to understand the brain mechanisms of Parkinson's disease, schizophrenia, mild traumatic brain injury, and many other unlisted neurological diseases.…

定量方法 · 定量生物学 2019-09-27 Po-Ya Hsu

We analyse the neural dynamics and its relation with the emergent behaviour of a robotic vehicle that is controlled by a neural network numerical simulation based on the nervous system of the nematode Caenorhabditis elegans. The robot…

神经元与认知 · 定量生物学 2020-11-19 Carlos E. Valencia Urbina , Sergio A. Cannas , Pablo M. Gleiser

Cellular automata and other discrete dynamical systems have long been studied as models of emergent complexity. Recently, neural cellular automata have been proposed as models to investigate the emerge of a more general artificial…

元胞自动机与格子气 · 物理学 2025-07-28 Sanyam Jain , Stefano Nichele

Understanding the activity of large populations of neurons is difficult due to the combinatorial complexity of possible cell-cell interactions. To reduce the complexity, coarse-graining had been previously applied to experimental neural…

神经元与认知 · 定量生物学 2021-03-24 Mia C. Morrell , Audrey J. Sederberg , Ilya Nemenman

The large-scale structural ingredients of the brain and neural connectomes have been identified in recent years. These are, similar to the features found in many other real networks: the arrangement of brain regions into modules and the…

神经元与认知 · 定量生物学 2018-11-01 Gorka Zamora-López , Yuhan Chen , Gustavo Deco , Morten L. Kringelbach , Changsong Zhou

The fundamental relationship between the mesoscopic structure of neuronal circuits and organismic functions they subserve is one of the major challenges in contemporary neuroscience. Formation of structurally connected modules of neurons…

神经元与认知 · 定量生物学 2024-01-12 Arsenii Onuchin , Alina Chernizova , Mikhail Lebedev , Kirill Polovnikov

We study chaotic synchronization in a 5D Hindmarsh--Rose neuron model augmented with electromagnetic induction and a switchable memristive autapse. For two diffusively coupled identical neurons, we derive the transverse error dynamical…

适应与自组织系统 · 物理学 2026-03-10 Behnam Babaeian , Marius E. Yamakou