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Empirical evidence suggesting that living systems might operate in the vicinity of critical points, at the borderline between order and disorder, has proliferated in recent years, with examples ranging from spontaneous brain activity to…

Collective behaviors exhibited by animal groups, such as fish schools, bird flocks, or insect swarms are fascinating examples of self-organization in biology. Concepts and methods from statistical physics have been used to argue…

生物物理 · 物理学 2023-03-14 Pawel Romanczuk , Bryan C. Daniels

A celebrated and controversial hypothesis conjectures that some biological systems --parts, aspects, or groups of them-- may extract important functional benefits from operating at the edge of instability, halfway between order and…

统计力学 · 物理学 2018-08-01 Miguel A. Munoz

Criticality has been proposed as a key principle underlying complex behavior in biological and artificial systems; however, how criticality translates from individual dynamics to collective behavior remains unclear. We study this question…

适应与自组织系统 · 物理学 2026-05-05 Nicolas Bessone , Erwan Plantec

The hypothesis that living systems can benefit from operating at the vicinity of critical points has gained momentum in recent years. Criticality may confer an optimal balance between exceedingly ordered and too noisy states. We here…

种群与进化 · 定量生物学 2016-03-23 Jorge Hidalgo , Jacopo Grilli , Samir Suweis , Amos Maritan , Miguel A. Munoz

According to the criticality hypothesis, collective biological systems should operate in a special parameter region, close to so-called critical points, where the collective behavior undergoes a qualitative change between different…

种群与进化 · 定量生物学 2021-06-09 Pascal P. Klamser , Pawel Romanczuk

Many-variable differential equations with random coefficients provide powerful models for the dynamics of many interacting species in ecology. These models are known to exhibit a dynamical phase transition from a phase where population…

统计力学 · 物理学 2025-02-19 Thibaut Arnoulx de Pirey , Guy Bunin

Systems that exhibit complex behaviours are often found in a particular dynamical condition, poised between order and disorder. This observation is at the core of the so-called criticality hypothesis, which states that systems in a…

适应与自组织系统 · 物理学 2016-09-19 Andrea Roli , Marco Villani , Alessandro Filisetti , Roberto Serra

This paper studies a stylized model of local interaction where agents choose from an ever increasing set of vertically ranked actions, e.g. technologies. The driving forces of the model are infrequent upward shifts (``updates''), followed…

统计力学 · 物理学 2007-05-23 A. Arenas , A. Diaz-Guilera , C. J. Perez , F. Vega-Redondo

Adaptive dynamical systems arise in a multitude of contexts, e.g., optimization, control, communications, signal processing, and machine learning. A precise characterization of their fundamental limitations is therefore of paramount…

信息论 · 计算机科学 2010-10-13 Maxim Raginsky

There is mounting empirical evidence that many communities of living organisms display key features which closely resemble those of physical systems at criticality. We here introduce a minimal model framework for the dynamics of a community…

生物物理 · 物理学 2020-02-17 Fabio Peruzzo , Mauro Mobilia , Sandro Azaele

From the formation of ice in small clusters of water molecules to the mass raids of army ant colonies, the emergent behavior of collectives depends critically on their size. At the same time, common wisdom holds that such behaviors are…

种群与进化 · 定量生物学 2025-10-08 Jacob Calvert , Andréa W. Richa , Dana Randall

Biological systems with many components often exhibit seemingly critical behaviors, characterized by atypically large correlated fluctuations. Yet the underlying causes remain unclear. Here we define and examine two types of criticality.…

生物物理 · 物理学 2025-02-26 Vudtiwat Ngampruetikorn , Ilya Nemenman , David J. Schwab

Living systems such as neuronal networks and animal groups process information about their environment via the dynamics of interacting units. These can transition between distinct macroscopic behaviors. Near such a transition (or critical…

Criticality has been proposed as a mechanism for the emergence of complexity, life, and computation, as it exhibits a balance between robustness and adaptability. In classic models of complex systems where structure and dynamics are…

Experiments suggest that cerebral cortex gains several functional advantages by operating in a dynamical regime near the critical point of a phase transition. However, a long-standing criticism of this hypothesis is that critical dynamics…

神经元与认知 · 定量生物学 2020-09-30 Kathleen Finlinson , Woodrow L. Shew , Daniel B. Larremore , Juan G. Restrepo

Recent experimental results based on multi-electrode and imaging techniques have reinvigorated the idea that large neural networks operate near a critical point, between order and disorder. However, evidence for criticality has relied on…

神经元与认知 · 定量生物学 2015-03-05 Thierry Mora , Stéphane Deny , Olivier Marre

At the point of a second order phase transition also termed as a critical point, systems display long range order and their macroscopic behaviors are independent of the microscopic details making up the system. Due to these properties, it…

神经元与认知 · 定量生物学 2017-07-18 Vaibhav Wasnik

Bistable biological regulatory systems need to cope with stochastic noise to fine-tune their function close to bifurcation points. Here, we study stability properties of this regime in generic systems to demonstrate that cooperative…

适应与自组织系统 · 物理学 2025-08-04 Daniele Proverbio , Arthur N. Montanari , Alexander Skupin , Jorge Gonçalves

We have numerically studied the trapping problem in a two-dimensional lattice where particles are continuously generated. We have introduced interaction between particles and directionality of their movement. This model presents a critical…

高能物理 - 格点 · 物理学 2009-10-22 I. Campos , A. Tarancon
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