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Bacteria are able to respond to environmental signals by changing their rules of movement. When we take into account chemical signals in the environment, this behaviour is often called chemotaxis. At the individual-level, chemotaxis…

Analysis of PDEs · Mathematics 2007-05-23 Radek Erban , Hyung Ju Hwang

It has been pointed out that if an autocatalytic cycle produces primitive membrane chemicals, it can compose a self-maintaining proto cell. Moreover, it is known that a proto cell can divide itself spontaneously as it grows. An unsolved…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 N. Ono , T. Ikegami

The system of cellular automata, which expresses the process of dissemination and publication of the news among separate information resources, has been described. A bell-shaped dependence of news diffusion on internet-sources (web-sites)…

Information Theory · Computer Science 2008-12-18 D. V. Lande

We show that cellular automata can classify data by inducing a form of dynamical phase coexistence. We use Monte Carlo methods to search for general two-dimensional deterministic automata that classify images on the basis of activity, the…

Neural and Evolutionary Computing · Computer Science 2023-08-02 Stephen Whitelam , Isaac Tamblyn

Any algorithm (in the sense of Gurevich's abstract-state-machine axiomatization of classical algorithms) operating over any arbitrary unordered domain can be simulated by a dynamic cellular automaton, that is, by a pattern-directed cellular…

Logic in Computer Science · Computer Science 2015-04-14 Nachum Dershowitz , Evgenia Falkovich

Many motile microorganisms react to environmental light cues with a variety of motility responses guiding cells towards better conditions for survival and growth. The use of spatial light modulators could help to elucidate the mechanisms of…

We concern with a special class of binary cellular automata, i.e., the so-called particle cellular automata (PCA) in the present paper. We first propose max-plus expressions to PCA of 4 neighbors. Then, by utilizing basic operations of the…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 Daisuke Takahashi , Junta Matsukidaira , Hiroaki Hara , Bao-Feng Feng

We Propose A Novel Automaton Model which uses Arithmetic Operations as the Evolving Rules, each cell has the states of the Natural Numbers k = (N), a radius of r = 1/2 and operates on an arbitrary input size. The Automaton reads an…

Formal Languages and Automata Theory · Computer Science 2017-05-18 Abdulrhman Elnekiti

In growing active matter systems, a large collection of engineered or living autonomous units metabolize free energy and create order at different length scales as they proliferate and migrate collectively. One such example is bacterial…

Soft Condensed Matter · Physics 2021-06-15 Japinder Nijjer , Changhao Li , Qiuting Zhang , Haoran Lu , Sulin Zhang , Jing Yan

The process of evolutionary emergence of purposeful adaptive behavior is investigated by means of computer simulations. The model proposed implies that there is an evolving population of simple agents, which have two natural needs: energy…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Mikhail S. Burtsev , Vladimir G. Redko , Roman V. Gusarev

Bacterial colonies are abundant on living and nonliving surfaces and are known to mediate a broad range of processes in ecology, medicine, and industry. Although extensively researched, from single cells to demographic scales, a…

Soft Condensed Matter · Physics 2018-09-14 Zhihong You , Daniel J. G. Pearce , Anupam Sengupta , Luca Giomi

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…

Cellular Automata and Lattice Gases · Physics 2009-10-31 Wim Hordijk , Cosma Rohilla Shalizi , James P. Crutchfield

We provide an easily checkable algebraic characterization of positive expansivity for Additive Cellular Automata over a finite abelian group. First of all, an easily checkable characterization of positive expansivity is provided for the non…

Formal Languages and Automata Theory · Computer Science 2023-08-09 Alberto Dennunzio , Enrico Formenti , Luciano Margara

Results of experimental investigation are presented of evolutionary dynamics of several stochastic pattern formation and growth models designed by modifications of the famous mathematical Game of Life. The modifications are two-fold: Game…

Cellular Automata and Lattice Gases · Physics 2013-10-30 Leonid Yaroslavsky

We study cellular automata with respect to a new communication complexity problem: each of two players know half of some finite word, and must be able to tell whether the state of the central cell will follow a given evolution, by…

Formal Languages and Automata Theory · Computer Science 2011-02-18 Eric Goles , Pierre Guillon , Ivan Rapaport

In this paper I present some of the most representative biological models applied to robotics. In particular, this work represents a survey of some models inspired, or making use of concepts, by gene regulatory networks (GRNs): these…

Other Computer Science · Computer Science 2017-12-07 Michele Braccini

In the present work we introduce a stochastic cellular automata model in order to simulate the dynamics of the stock market. A direct percolation method is used to create a hierarchy of clusters of active traders on a two dimensional grid.…

Disordered Systems and Neural Networks · Physics 2009-11-10 M. Bartolozzi , A. W. Thomas

New experimental results on bacterial growth inspire a novel top-down approach to study cell metabolism, combining mass balance and proteomic constraints to extend and complement Flux Balance Analysis. We introduce here Constrained…

Molecular Networks · Quantitative Biology 2016-07-04 Matteo Mori , Terence Hwa , Olivier C. Martin , Andrea De Martino , Enzo Marinari

We propose a neo-logistic model that can describe bacterial growth data precisely. This model is not derived by modifying the logistic model formally, but by incorporating the synthesis of inducible enzymes into the logistic model…

Biological Physics · Physics 2019-04-04 Tohru Tashiro , Fujiko Yoshimura

A hallmark of bacterial populations cultured in vitro is their homogeneity of growth, where the majority of cells display identical growth rate, cell size and content. Recent insights, however, have revealed that even cells growing in…

Quantitative Methods · Quantitative Biology 2022-06-07 Santosh Pandey , Yunsoo Park , Ankita Ankita , Gregory J. Phillips
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