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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

There are many wildfire behaviors of increasing relevance that are outside the forecast capabilities of even the most sophisticated operational fire spread and fire behavior model. The limitations of the operational models are due primarily…

Atmospheric and Oceanic Physics · Physics 2013-03-26 Adam K. Kochanski , Mary Ann Jenkins , Steven K. Krueger , Jan Mandel , Jonathan D. Beezley

Understanding tumor invasion and metastasis is of crucial importance for both fundamental cancer research and clinical practice. In vitro experiments have established that the invasive growth of malignant tumors is characterized by the…

Biological Physics · Physics 2023-07-19 Yang Jiao , Salvatore Torquato

We show techniques of analyzing complex dynamics of cellular automata (CA) with chaotic behaviour. CA are well known computational substrates for studying emergent collective behaviour, complexity, randomness and interaction between order…

Cellular Automata and Lattice Gases · Physics 2012-03-29 Genaro J. Martinez , Andrew Adamatzky , Ramon Alonso-Sanz

Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Cosma Rohilla Shalizi , Kristina Lisa Shalizi

A cellular automata model that describes as limit cases of his parameters the spread of contagious diseases modeled by systems of ordinary or partial differential equations is developed. Periodic features of the behavior of human settlement…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Ricardo Mansilla , Jose L. Gutierrez

Motivated by questions in biology and distributed computing, we investigate the behaviour of particular cellular automata, modelled as one-dimensional arrays of identical finite automata. We investigate what sort of self-stabilising…

Formal Languages and Automata Theory · Computer Science 2009-11-14 Alan Gibbons , Martyn Amos

A new stochastic cellular automaton (CA) model of traffic flow, which includes slow-to-start effects and a driver's perspective, is proposed by extending the Burgers CA and the Nagel-Schreckenberg CA model. The flow-density relation of this…

Statistical Mechanics · Physics 2009-11-10 Katsuhiro Nishinari , Minoru Fuku , Andreas Schadschneider

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

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

The level-set method is a prominent approach to modelling the evolution of a fire over time based on a characterised rate of spread. It however does not provide a direct means for assimilating new data and quantifying uncertainty. Fire…

Applications · Statistics 2022-06-20 Joel Janek Dabrowski , Carolyn Huston , James Hilton , Stephane Mangeon , Petra Kuhnert

The advantage of Cellular Potts Model (CPM) is due to its ability for introducing cell-cell interaction based on the well known statistical model i.e. the Potts model. On the other hand, Lattice gas Cellular Automata (LGCA) can simulate…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Mehrdad Ghaemi , Amene Shahrokhi

Coronavirus disease (COVID-19) which is caused by SARS-COV2 has become a pandemic. This disease is highly infectious and potentially fatal, causing a global public health concern. To contain the spread of COVID-19, governments are adopting…

Physics and Society · Physics 2020-06-22 Sayantari Ghosh , Saumik Bhattacharya

Cellular automata (CAs) are dynamical systems which exhibit complex global behavior from simple local interaction and computation. Since the inception of cellular automaton (CA) by von Neumann in 1950s, it has attracted the attention of…

Formal Languages and Automata Theory · Computer Science 2024-01-17 Kamalika Bhattacharjee , Nazma Naskar , Souvik Roy , Sukanta Das

In recent years, advances in computational power and spatial data analysis (GIS, remote sensing, etc) have led to an increase in attempts to model the spread and behaviour of wildland fires across the landscape. This series of review papers…

Geophysics · Physics 2010-07-28 A. L. Sullivan

In practical applications, it is common that wildfire simulators do not correctly predict the evolution of the fire scar. Usually, this is caused due to multiple factors including inaccuracy in the input data such as land cover…

Machine Learning · Computer Science 2019-09-16 Jaime Carrasco , Cristobal Pais , Zuo-Jun Max Shen , Andres Weintraub

A wildfire model is formulated based on balance equations for energy and fuel, where the fuel loss due to combustion corresponds to the fuel reaction rate. The resulting coupled partial differential equations have coefficients that can be…

Wildfires represent a problem for ecosystems, human activities, and economies, driven by the climate crisis and land-use changes. Predicting wildfire propagation through mathematical modelling is essential for damage mitigation and risk…

This paper introduces a hierarchical cellular automaton (HCA)model for simulation of distributed self-organizing control of traffic signals at intersections in road network. The proposed HCA consists of three hierarchy levels that describe…

Systems and Control · Computer Science 2018-10-01 Bartłomiej Płaczek

Cellular automata (CAs) are fully-discrete dynamical models that have received much attention due to the fact that their relatively simple setup can nonetheless express highly complex phenomena. Despite the model's theoretical maturity and…

Cellular Automata and Lattice Gases · Physics 2025-07-10 Michiel Rollier , Kallil M. C. Zielinski , Aisling J. Daly , Odemir M. Bruno , Jan M. Baetens
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