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The stochastic discrete space-time model of an immune response on tumor spreading in a two-dimensional square lattice has been developed. The immunity-tumor interactions are described at the cellular level and then transferred into the…

comp-gas · 物理学 2007-05-23 Margarita Voitikova

It has been known for some time that human autoimmune diseases can be triggered by viral infections. Several possible mechanisms of interactions between a virus and immune system have been analysed, with a prevailing opinion being that the…

种群与进化 · 定量生物学 2012-09-21 K. B. Blyuss , L. B. Nicholson

We introduce a new class of cellular automata to model reaction-diffusion systems in a quantitatively correct way. The construction of the CA from the reaction-diffusion equation relies on a moving average procedure to implement diffusion,…

comp-gas · 物理学 2016-08-14 Jörg R. Weimar , Jean-Pierre Boon

The classical dynamical systems model of continuous stirred tank reactors (CSTR) in which a first order chemical reaction takes place is reformulated in terms of stochastic cellular automata by extending previous works of Seyborg (1997) and…

元胞自动机与格子气 · 物理学 2007-05-23 J. E. Perez-Terrazas , V. Ibarra-Junquera , H. C. Rosu

Cellular automata have been useful artificial models for exploring how relatively simple rules combined with spatial memory can give rise to complex emergent patterns. Moreover, studying the dynamics of how rules emerge under artificial…

元胞自动机与格子气 · 物理学 2014-07-11 Theodore P. Pavlic , Alyssa M. Adams , Paul C. W. Davies , Sara Imari Walker

Commonly studied cellular automata are memoryless and have fixed topology of connections between cells. However by allowing updates of links and short-term memory in cells we may potentially discover novel complex regimes of spatio-temporal…

元胞自动机与格子气 · 物理学 2012-12-13 Ramon Alonso-Sanz , Andrew Adamatzky

The prediction of the behavior of the disease, the level of affectation in a population and the ways to control it are the most important aspects studied by epidemiology using tools such as historical data and mathematical models. So, our…

动力系统 · 数学 2022-04-04 Jorge Andrés Ibáñez Huertas , Carlos Isaac Zainea Maya

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,…

元胞自动机与格子气 · 物理学 2023-05-12 Luca Bertolani , Andrea Idini

We present a 2-dimensional cellular automaton model for the simulation of pedestrian dynamics. The model is extremely efficient and allows simulations of large crowds faster than real time since it includes only nearest-neighbour…

统计力学 · 物理学 2007-05-23 Andreas Schadschneider

In this exploratory paper we introduce the problem of cognitive agents that learn how to modify their environment according to local sensing to reach a global goal. We concentrate on discrete dynamics (cellular automata) on a…

元胞自动机与格子气 · 物理学 2026-04-14 Franco Bagnoli , Bassem Sellami , Amira Mouakher , Samira El Yacoubi

A major contribution to the onset and development of autoimmune disease is known to come from infections. An important practical problem is identifying the precise mechanism by which the breakdown of immune tolerance as a result of immune…

定量方法 · 定量生物学 2018-05-21 F. Fatehi Chenar , Y. N. Kyrychko , K. B. Blyuss

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of statistical mechanics of discrete systems (Ising model), illustrating the Monte Carlo approach as Markov chains and stochastic…

统计力学 · 物理学 2023-12-05 Franco Bagnoli , Raul Rechtman

Particle-like objects are observed to propagate and interact in many spatially extended dynamical systems. For one of the simplest classes of such systems, one-dimensional cellular automata, we establish a rigorous upper bound on the number…

元胞自动机与格子气 · 物理学 2009-10-31 Wim Hordijk , Cosma Rohilla Shalizi , James P. Crutchfield

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…

元胞自动机与格子气 · 物理学 2010-03-26 Xin-She Yang , Young Z. L. Yang

Cellular automata represent physical systems where both space and time are discrete, and the associated physical quantities assume a limited set of values. While previous research has applied cellular automata in modeling chemical,…

元胞自动机与格子气 · 物理学 2024-10-30 Temitayo Adefemi

The emergence of complex behaviors in cellular automata is an area that has been widely developed in recent years with the intention to generate and analyze automata that produce space-moving patterns or gliders that interact in a periodic…

The aim of this research review is to propose the logic and search mechanism for the development of an artificially intelligent automaton (AIA) that can find affected cells in a 3-dimensional biological system. Research on the possible…

计算工程、金融与科学 · 计算机科学 2011-07-04 Jitesh Dundas

An introduction to cellular automata (both deterministic and probabilistic) with examples. Definition of deterministic automata, dynamical properties, damage spreading and Lyapunov exponents; probabilistic automata and Markov processes,…

统计力学 · 物理学 2007-05-23 Franco Bagnoli

We extend the usual definition of cellular automaton on a group in order to deal with a new kind of cellular automata, like cellular automata in the hyperbolic plane and we explore some properties of these cellular automata. This definition…

动力系统 · 数学 2011-05-27 Sébastien Moriceau

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 · 物理学 2009-10-22 T. Karapiperis , B. Blankleider
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