scholarly journals Simple Model of Self-Organized Biological Evolution as a Completely Integrable Dissipative System

1999 ◽  
Vol 83 (23) ◽  
pp. 4892-4895 ◽  
Author(s):  
Yu. M. Pis'mak
Keyword(s):  
Simple Model ◽  
Biological Evolution ◽  
Dissipative System ◽  
Completely Integrable ◽  
Self Organized

scholarly journals Simple Model of Self-Organized Biological Evolution

1994 ◽  
Vol 73 (6) ◽  
pp. 906-909 ◽  
Author(s):  
Jan de Boer ◽  
Bernard Derrida ◽  
Henrik Flyvbjerg ◽  
Andrew D. Jackson ◽  
Tilo Wettig
Keyword(s):  
Simple Model ◽  
Biological Evolution ◽  
Self Organized

The Bak–Sneppen Model: A Self-Organized Critical Model of Biological Evolution

1997 ◽  
Vol 11 (12) ◽  
pp. 1411-1444 ◽  
Author(s):  
Ning-Ning Pang
Keyword(s):  
Simple Model ◽  
Statistical Physics ◽  
Biological Evolution ◽  
The Self ◽  
Coarse Grained ◽  
Directed Percolation ◽  
Self Organized ◽  
Physics Community ◽  
Universal Properties ◽  
Critical Model

Recently, Bak and Sneppen proposed a simple model, the Bak–Sneppen (BS) model, as a coarse-grained description of biological evolution. It has attracted a lot of attention from interdisciplinary statistical physics community, for its simple model definition but extremely rich properties to be explored. The aim of this paper is to give a pedagogical and update review of this fast-developing topic. The emphasis is on the mechanism by which the BS model approaches the self-organized critical state, the universal properties of the system at criticality, and the relation with other topics, such as directed percolation, random walk, and a few self-organized critical models.

scholarly journals Travelling colourful patterns in self-organized cellulose-based liquid crystalline structures

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Pedro E. S. Silva ◽  
Ricardo Chagas ◽  
Susete N. Fernandes ◽  
Pawel Pieranski ◽  
Robin L. B. Selinger ◽  
...  
Keyword(s):  
Simple Model ◽  
Temporal Variation ◽  
Liquid Crystalline ◽  
Diffusion Mechanism ◽  
Reaction Diffusion ◽  
Self Organization ◽  
Spatial And Temporal Variation ◽  
Living Matter ◽  
Equilibrium Conditions ◽  
Self Organized

AbstractCellulose-based systems are useful for many applications. However, the issue of self-organization under non-equilibrium conditions, which is ubiquitous in living matter, has scarcely been addressed in cellulose-based materials. Here, we show that quasi-2D preparations of a lyotropic cellulose-based cholesteric mesophase display travelling colourful patterns, which are generated by a chemical reaction-diffusion mechanism being simultaneous with the evaporation of solvents at the boundaries. These patterns involve spatial and temporal variation in the amplitude and sign of the helix´s pitch. We propose a simple model, based on a reaction-diffusion mechanism, which simulates the observed spatiotemporal colour behaviour.

SELF-ORGANIZED PERCOLATION AND CRITICAL SALES FLUCTUATIONS

2000 ◽  
Vol 11 (06) ◽  
pp. 1263-1272 ◽  
Author(s):  
GÉRARD WEISBUCH ◽  
SORIN SOLOMON
Keyword(s):  
Social Network ◽  
Simple Model ◽  
Stock Markets ◽  
Information Diffusion ◽  
Price Adjustment ◽  
Adjustment Process ◽  
Standard View ◽  
Individual Preferences ◽  
Self Organized ◽  
Large Fluctuations

There is a discrepancy between the standard view of equilibrium through price adjustment in economics and the observation of large fluctuations in stock markets. We study here a simple model where agents decisions not only depend upon their individual preferences but also upon information obtained from their neighbors in a social network. The model shows that information diffusion coupled to the adjustment process drives the system to criticality with large fluctuations rather than converging smoothly to equilibrium.

scholarly journals Modeling brain reorganization after hemispherectomy

2020 ◽  
Author(s):  
Luís F Seoane ◽  
Ricard Solé
Keyword(s):  
Simple Model ◽  
Mathematical Models ◽  
Functional Traits ◽  
Large Scale ◽  
Brain Plasticity ◽  
Self Organized ◽  
Function Loss ◽  
Additional Processing ◽  
Brain Reorganization ◽  
Language Areas

Brain reorganization after hemispherectomy (i.e. the removal of a whole hemisphere) is perhaps the most remarkable example of large-scale brain plasticity. Most often patients survive and recover their skills. Functional traits located in the lost side (e.g. language areas) can sometimes be completely reassembled in the remaining hemisphere, which seamlessly take on the additional processing burden. This demands drastic rearrangements, perhaps involving the readaptation of functionally and structurally diverse neural structures. We lack mathematical models of how this happens. We introduce a very simple model, based on self-organized maps, that provides a rationale to the clinical aftermath of the intervention, putative windows for recovery, and the origins and nature of observed thresholds for irreversible function loss. The implications for brain symmetry and potential scenarios in simulated pathologies, including efficient suggested treatments, are outlined.

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