Although it might appear that chromatin is randomly packed within the nucleus, recent data (Hou et al., 2012, in this issue of Molecular Cell) show that it is organized into defined and functionally important domains marked by preferred intradomain physical contacts, and with boundaries associated with insulator protein occupancy.
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http://dx.doi.org/10.1016/j.molcel.2012.10.021 | DOI Listing |
Chaos
January 2025
International Research Center for Neurointelligence, The University of Tokyo Institutes for Advanced Study, The University of Tokyo, Bunkyo Ku, Tokyo 113 8654, Japan.
We investigate the aging transition in networks of excitable and self-oscillatory units as the fraction of inherently excitable units increases. Two network topologies are considered: a scale-free network with weighted pairwise interactions and a two-dimensional simplicial complex with weighted scale-free pairwise and triadic interactions. Without triadic interactions, the aging transition from collective oscillations to oscillation death (inhomogeneous stationary states) can occur either suddenly or through an intermediate state of partial oscillation.
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January 2025
Division of Control and Dynamical Systems, Instituto Potosino de Investigación Científica y Tecnológica, Camino a la Presa San José 2055, Col. Lomas 4ta. Sección, 78216 San Luis Potosí, SLP, México.
In this paper, we give a class of one-dimensional discrete dynamical systems with state space N+. This class of systems is defined by two parameters: one of them sets the number of nearest neighbors that determine the rule of evolution, and the other parameter determines a segment of natural numbers Λ={1,2,…,b}. In particular, we investigate the behavior of a class of one-dimensional maps where an integer moves to an other integer given by the sum of the nearest neighbors minus a multiple of b∈N+.
View Article and Find Full Text PDFInt Immunopharmacol
December 2024
Italian Scientific Society of Oxygen-Ozone Therapy (SIOOT) and High Master School of Oxygen-Ozone Therapy, University of Pavia, Italy.
The action of ozone in medicine is a subject of interest and lively, controversial debates. Its mechanisms of action are still far from fully understood. However, it is possible that ozone triggers a series of dynamics in living organisms related to chaos, multi-stable phenomena, and oscillatory processes.
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December 2024
Department of Applied Mathematics, Tokyo University of Science, Shinjuku, Tokyo, 162-8601, Japan.
Reservoir computing is a machine learning framework that exploits nonlinear dynamics, exhibiting significant computational capabilities. One of the defining characteristics of reservoir computing is that only linear output, given by a linear combination of reservoir variables, is trained. Inspired by recent mathematical studies of generalized synchronization, we propose a novel reservoir computing framework with a generalized readout, including a nonlinear combination of reservoir variables.
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December 2024
Potsdam Institute for Climate Impact Research, Telegrafenberg, Potsdam 14473, Germany.
Adaptive dynamical networks are ubiquitous in real-world systems. This paper aims to explore the synchronization dynamics in networks of adaptive oscillators based on a paradigmatic system of adaptively coupled phase oscillators. Our numerical observations reveal the emergence of synchronization cluster bursting, characterized by periodic transitions between cluster synchronization and global synchronization.
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