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We analyze a probabilistic cellular automaton describing the dynamics of coexistence of a predator-prey system. The individuals of each species are localized over the sites of a lattice and the local stochastic updating rules are inspired…

Statistical Mechanics · Physics 2016-08-14 Tânia Tomé , Kelly C de Carvalho

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 show that autocatalytic networks of epsilon-machines and their population dynamics differ substantially between spatial (geographically distributed) and nonspatial (panmixia) populations. Generally, regions of spacetime-invariant…

Populations and Evolution · Quantitative Biology 2010-10-26 Steve T. Piantadosi , James P. Crutchfield

A cellular automaton model is presented for random walkers with biologically motivated interactions favoring local alignment and leading to collective motion or swarming behavior. The degree of alignment is controlled by a sensitivity…

Biological Physics · Physics 2009-10-30 H. J. Bussemaker , A. Deutsch , E. Geigant

Interactions between neighboring cells are essential for generating or refining patterns in a number of biological systems. We propose a discrete filtering approach to predict how networks of cells modulate spatially varying input signals…

Tissues and Organs · Quantitative Biology 2019-02-14 Melinda Liu Perkins , Murat Arcak

The persistence of life requires populations to adapt at a rate commensurate with the dynamics of their environment. Successful populations that inhabit highly variable environments have evolved mechanisms to increase the likelihood of…

Genomics · Quantitative Biology 2007-05-23 Taison Tan , Leonard D. Bogarad , Michael W. Deem

A two-species spatially extended system of hosts and parasitoids is studied. There are two distinct kinds of coexistence; one with populations distributed homogeneously in space and another one with spatiotemporal patterns. In the latter…

Populations and Evolution · Quantitative Biology 2009-02-19 Matti Peltomaki , Martin Rost , Mikko Alava

Spatial-temporal prediction is a critical problem for intelligent transportation, which is helpful for tasks such as traffic control and accident prevention. Previous studies rely on large-scale traffic data collected from sensors. However,…

Machine Learning · Computer Science 2021-08-24 Chung-Yi Lin , Hung-Ting Su , Shen-Lung Tung , Winston H. Hsu

Heterogeneities in environmental conditions often induce corresponding heterogeneities in the distribution of species. In the extreme case of a localized patch of increased growth rates, reproducing populations can become strongly…

Populations and Evolution · Quantitative Biology 2013-01-17 Lukas Geyrhofer , Oskar Hallatschek

There is great potential if we understand how nature functions, particularly the animals taking down from the ant to the larger animals. In this paper we will make an attempt to learn about ants colonization processing by studying their…

Systems and Control · Electrical Eng. & Systems 2023-05-09 Sunit Shantanu Digamber Fulari

We study the active to absorbing phase transition (AAPT) in a simple two-component model system for a species and its mutant. We uncover the nontrivial critical scaling behavior and weak dynamic scaling near the AAPT that shows the…

Statistical Mechanics · Physics 2015-10-07 Niladri Sarkar

We consider the problem of modeling, estimating, and controlling the latent state of a spatiotemporally evolving continuous function using very few sensor measurements and actuator locations. Our solution to the problem consists of two…

Systems and Control · Computer Science 2015-08-11 Hassan A. Kingravi , Harshal Maske , Girish Chowdhary

Model-based approaches bear great promise for decision making of agents interacting with the physical world. In the context of spatial environments, different types of problems such as localisation, mapping, navigation or autonomous…

Machine Learning · Statistics 2019-06-21 Atanas Mirchev , Baris Kayalibay , Maximilian Soelch , Patrick van der Smagt , Justin Bayer

We present a new tierra-inspired artificial life system with local interactions and two-dimensional geometry, based on an update mechanism akin to that of 2D cellular automata. We find that the spatial geometry is conducive to the…

adap-org · Physics 2008-02-03 Chris Adami , C. Titus Brown

We study time continuous branching processes with exponentially distributed lifetimes, with two types of cells that proliferate according to binary fission. A range of possible system dynamics are considered, each of which is characterized…

Probability · Mathematics 2022-04-27 Nam H Nguyen , Marek Kimmel

The role of the selection pressure and mutation amplitude on the behavior of a single-species population evolving on a two-dimensional lattice, in a periodically changing environment, is studied both analytically and numerically. The…

Populations and Evolution · Quantitative Biology 2009-11-13 Ioana Bena , Michel Droz , Janusz Szwabinski , Andrzej Pekalski

Plant functional trait variation in tropical forests is central to predicting ecosystem responses to change. Informaiton on traits is limited relative to the diversity of climate, landforms, disturbance regimes and species present. These…

Populations and Evolution · Quantitative Biology 2025-05-27 David Schimel , Andres Baresch , Adam Chlus , Phil Townsend , Fabian Schneider , Gaia Vaglio Laurin , Ben Poulter

How do cellular automata behave in the limit of a very large number of cells? Is there a continuum limit with simple properties? We attack this problem by mapping certain classes of automata to quantum field theories for which powerful…

Cellular Automata and Lattice Gases · Physics 2022-12-08 C. Wetterich

In this paper we study the space evolution in the Rule 54 reversible cellular automaton, which is a paradigmatic example of a deterministic interacting lattice gas. We show that the spatial translation of time configurations of the…

Statistical Mechanics · Physics 2020-08-20 Katja Klobas , Tomaž Prosen

Cellular Automata (CA) are widely used to model the dynamics within complex land use and land cover (LULC) systems. Past CA model research has focused on improving the technical modeling procedures, and only a few studies have sought to…

Computers and Society · Computer Science 2020-11-06 Xun Liang , Qingfeng Guan , Keith C. Clarke , Shishi Liu , Bingyu Wang , Yao Yao
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