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In this paper, the author aims to establish a mathematical model for a mimic computer. To this end, a novel automaton is proposed. First, a one-dimensional cellular automaton is used for expressing some dynamic changes in the structure of a…

Formal Languages and Automata Theory · Computer Science 2017-03-07 Weijun Zhu

We view Digital Ecosystems to be the digital counterparts of biological ecosystems. Here, we are concerned with the creation of these Digital Ecosystems, exploiting the self-organising properties of biological ecosystems to evolve…

Networking and Internet Architecture · Computer Science 2011-12-02 Gerard Briscoe , Suzanne Sadedin , Philippe De Wilde

Organisms shape their own environment, which in turn affects their survival. This feedback becomes especially important for communities containing a large number of species; however, few existing approaches allow studying this regime,…

Populations and Evolution · Quantitative Biology 2017-02-01 Mikhail Tikhonov , Remi Monasson

We consider a probabilistic cellular automaton to analyze the stochastic dynamics of a predator-prey system. The local rules are Markovian and are based in the Lotka-Volterra model. The individuals of each species reside on the sites of a…

Populations and Evolution · Quantitative Biology 2016-08-14 Kelly C. de Carvalho , Tânia Tomé

A central feature of complex systems is the relevance and entanglement of different levels of description. For instance, the dynamics of ecosystems can be alternatively described in terms of large ecological processes and classes of…

Populations and Evolution · Quantitative Biology 2025-10-06 Juan Giral Martínez , Silvia de Monte , Matthieu Barbier

Our knowledge of how individual cells self-organize to form complex multicellular systems is being revolutionized by a data outburst, coming from high-throughput experimental breakthroughs such as single-cell RNA sequencing and spatially…

Cell Behavior · Quantitative Biology 2021-04-20 Gabriel Torregrosa , Jordi Garcia-Ojalvo

When can complex ecological interactions drive an entire ecosystem into a persistent non-equilibrium state, where species abundances keep fluctuating without going to extinction? We show that high-diversity spatially-extended systems, in…

Populations and Evolution · Quantitative Biology 2019-08-27 Felix Roy , Matthieu Barbier , Giulio Biroli , Guy Bunin

Ecosystems dynamics is often considered as driven by a coupling of species' resource consumption and its population size dynamics. Such resource-population dynamics is captured by MacArthur-type models. One biologically relevant feature…

Populations and Evolution · Quantitative Biology 2023-07-10 Elena Bellavere , Christian H. S. Hamster , Joshua A. Dijksman

We study analytically and numerically a model metabolic cycle composed of an arbitrary number of species of catalytically active particles. Each species converts a substrate into a product, the latter being used as the substrate by the next…

Soft Condensed Matter · Physics 2023-09-29 Vincent Ouazan-Reboul , Jaime Agudo-Canalejo , Ramin Golestanian

Living systems operate far from equilibrium, yet few general frameworks provide global bounds on biological transients. In high-dimensional biological networks like ecosystems, long transients arise from the separate timescales of…

Biological Physics · Physics 2025-04-15 William Gilpin

Biological systems, unlike physical or chemical systems, are characterized by the very inhomogeneous distribution of their components. The immune system, in particular, is notable for self-organizing its structure. Classically, the dynamics…

Statistical Mechanics · Physics 2007-05-23 Yoram Louzoun , Sorin Solomon , Henri Atlan , Irun R. Cohen

A cellular automaton is a parallel synchronous computing model, which consists in a juxtaposition of finite automata whose state evolves according to that of their neighbors. It induces a dynamical system on the set of configurations, i.e.…

Discrete Mathematics · Computer Science 2011-08-25 Pierre Guillon , Gaétan Richard

We discuss a characterization of complexity based on successive approximations of the probability density describing a system by means of maximum entropy methods, thereby quantifying the respective role played by different orders of…

Cellular Automata and Lattice Gases · Physics 2014-08-05 Gregor Chliamovitch , Bastien Chopard , Lino Velasquez

Over the last decade, significant progress has been made in understanding complex biological systems, however there have been few attempts at incorporating this knowledge into nature inspired optimization algorithms. In this paper, we…

Neural and Evolutionary Computing · Computer Science 2009-07-03 James M. Whitacre , Ruhul A. Sarker , Q. Tuan Pham

Inspired by biological and cultural evolution, there have been many attempts to explore and elucidate the necessary conditions for open-endedness in artificial intelligence and artificial life. Using a continuous cellular automata called…

Neural and Evolutionary Computing · Computer Science 2023-04-13 Bert Wang-Chak Chan

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

Statistical Mechanics · Physics 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

An agent-based computer simulation of death by inheritable mutations in a changing environment shows a maximal population, or avoids extinction, at so intermediate mutation rate of the individuals. Thus death seems needed to al for…

Populations and Evolution · Quantitative Biology 2008-09-02 J. S. Sa Martins , D. Stauffer , P. M. C. de Oliveira , S. Moss de Oliveira

An autocatalytic pattern matching polymer system is studied as an abstract model for chemical ecosystem evolution. Highly ordered populations with particular sequence patterns appear spontaneously out of a vast number of possible states.…

Molecular Networks · Quantitative Biology 2015-06-17 Shinpei Tanaka , Harold Fellermann , Steen Rasmussen

While fields like Artificial Life have made huge strides in quantifying the mechanisms that distinguish living systems from non-living ones, particular mechanisms remain difficult to reproduce in silico. Known as open-endedness, we've been…

Biological Physics · Physics 2024-07-18 Alyssa M Adams , Eliott Jacopin , Praful Gagrani , Olaf Witkowski

Cellular automata are a class of computational models based on simple rules and algorithms that can simulate a wide range of complex phenomena. However, when using conventional computers, these 'simple' rules are only encapsulated at the…

Emerging Technologies · Computer Science 2022-11-04 Gordon H. Y. Li , Christian R. Leefmans , James Williams , Alireza Marandi