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Central to the artificial life endeavour is the creation of artificial systems spontaneously generating properties found in the living world such as autopoiesis, self-replication, evolution and open-endedness. While numerous models and…

Cellular Automata and Lattice Gases · Physics 2025-06-11 Erwan Plantec , Gautier Hamon , Mayalen Etcheverry , Bert Wang-Chak Chan , Pierre-Yves Oudeyer , Clément Moulin-Frier

A small-world cellular automaton network has been formulated to simulate the long-range interactions of complex networks using unconventional computing methods in this paper. Conventional cellular automata use local updating rules. The new…

Cellular Automata and Lattice Gases · Physics 2010-03-26 Xin-She Yang , Young Z. L. Yang

We present a stochastic approach to modeling the dynamics of coexistence of prey and predator populations. It is assumed that the space of coexistence is explicitly subdivided in a grid of cells. Each cell can be occupied by only one…

Populations and Evolution · Quantitative Biology 2015-06-26 Kelly C. de Carvalho , Tania Tome

A new kind of cellular automaton (CA) for the study of the dynamics of urban systems is proposed. The state of a cell is not described using a finite set, but by means of continuum variables. A population sector is included, taking into…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Alberto Vancheri , Paolo Giordano , Denise Andrey , Sergio Albeverio

We study a probabilistic cellular automaton to describe two population biology problems: the threshold of species coexistence in a predator-prey system and the spreading of an epidemic in a population. By carrying out time-dependent…

Statistical Mechanics · Physics 2015-06-25 Everaldo Arashiro , Tania Tome

A class of models for large-scale evolution and mass extinctions is presented. These models incorporate environmental changes on all scales, from influences on a single species to global effects. This is a step towards a unified picture of…

adap-org · Physics 2007-05-23 C. Wilke , S. Altmeyer , T. Martinetz

Cellular automata are a set of computational models in discrete space that have a discrete time evolution defined by neighbourhood rules. They are used to simulate many complex systems in physics and science in general. In this work,…

Cellular Automata and Lattice Gases · Physics 2023-05-12 Luca Bertolani , Andrea Idini

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

We present numerical results based on a simplified ecological system in evolution, showing features of extinction similar to that claimed for the biosystem on Earth. In the model each species consists of a population in interaction with the…

adap-org · Physics 2009-10-28 Guillermo Abramson

A cellular automaton (CA)-based modeling approach to simulate wildfire spread, emphasizing its strengths in capturing complex fire dynamics and its integration with geographic information systems (GIS). The model introduces an enhanced…

Cellular Automata and Lattice Gases · Physics 2024-03-15 Rohit Ghosh , Jishnu Adhikary , Rezki Chemlal

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

The transport and chemical reactions of solutes are modelled as a cellular automaton in which molecules of different species perform a random walk on a regular lattice and react according to a local probabilistic rule. The model describes…

comp-gas · Physics 2009-10-22 T. Karapiperis , B. Blankleider

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

Number-conserving cellular automata are discrete dynamical systems that simulate interacting particles like e.g. grains of sand. In an earlier paper, I had already derived a uniform construction for all transition rules of one-dimensional…

Cellular Automata and Lattice Gases · Physics 2025-06-02 Markus Redeker

Emergent processes in complex systems such as cellular automata can perform computations of increasing complexity, and could possibly lead to artificial evolution. Such a feat would require scaling up current simulation sizes to allow for…

Cellular Automata and Lattice Gases · Physics 2021-04-05 Hugo Cisneros , Josef Sivic , Tomas Mikolov

We present Mass-Conserving Evolution (MaCE), a general method for implementing mass conservation in Cellular Automata (CA). MaCE is a simple evolution rule that can be easily 'attached' to existing CAs to make them mass-conserving, which…

Cellular Automata and Lattice Gases · Physics 2025-07-17 Vassilis Papadopoulos , Etienne Guichard

In this paper we present two interesting properties of stochastic cellular automata that can be helpful in analyzing the dynamical behavior of such automata. The first property allows for calculating cell-wise probability distributions over…

Formal Languages and Automata Theory · Computer Science 2015-08-20 Witold Bołt , Jan M. Baetens , Bernard DeBaets

We propose a model of multispecies populations surviving on distributed resources. System dynamics are investigated under changes in abiotic factors such as the climate, as parameterized through environmental temperature. In particular, we…

Populations and Evolution · Quantitative Biology 2017-10-25 I. Sudakov , S. A. Vakulenko , D. Kirievskaya , K. M. Golden

Microbiological systems evolve to fulfill their tasks with maximal efficiency. The immune system is a remarkable example, where self-non self distinction is accomplished by means of molecular interaction between self proteins and antigens,…

Cell Behavior · Quantitative Biology 2013-08-26 Marcio Argollo de Menezes , Edgardo Brigatti , Veit Schwämmle

Biodiversity conservation becoming increasingly urgent. It is important to find mechanisms of competitive coexistence of species with different fitness in especially difficult circumstances - on one limiting resource, in isolated stable…

Populations and Evolution · Quantitative Biology 2015-03-13 Lev V. Kalmykov , Vyacheslav L. Kalmykov