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Modeling and simulation of pedestrian behavior is used in applications such as planning large buildings, disaster management, or urban planning. Realistically simulating pedestrian behavior is challenging, due to the complexity of…

Multiagent Systems · Computer Science 2017-09-26 Fatema Tuj Johora , Philipp Kraus , Jörg P. Müller

Precipitation/dissolution reactions coupled with solute transport are modelled as a cellular automaton in which solute molecules perform a random walk on a regular lattice and react according to a local probabilistic rule. Stationary solid…

comp-gas · Physics 2009-10-28 T. Karapiperis

A general stochastic traffic cellular automaton (CA) model, which includes slow-to-start effect and driver's perspective, is proposed in this paper. It is shown that this model includes well known traffic CA models such as…

Statistical Mechanics · Physics 2007-05-23 Satoshi Sakai , Katsuhiro Nishinari , Shinji Iida

We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of…

Computational Physics · Physics 2025-02-05 Lander Besabe , Editha Jose , Alvin Karlo Tapia

Experiments with pedestrians revealed that the geometry of the domain, as well as the incentive of pedestrians to reach a target as fast as possible have a strong influence on the overall dynamics. In this paper, we propose and validate…

Analysis of PDEs · Mathematics 2020-11-06 Michael Fischer , Gaspard Jankowiak , Marie-Therese Wolfram

A simulation model for the dynamic behaviour of pedestrian crowds is mathematically formulated in terms of a social force model, that means, pedestrians behave in a way as if they would be subject to an acceleration force and to repulsive…

Statistical Mechanics · Physics 2007-05-23 D. Helbing , P. Molnar , F. Schweitzer

Mathematical models of pedestrian evacuation and the associated simulation software have become essential tools for the assessment of the safety of public facilities and buildings. While a variety of models are now available, their…

Cellular Automata and Lattice Gases · Physics 2016-09-14 Alexandre Nicolas , Sebastián Bouzat , Marcelo Kuperman

By the use of computer simulations we investigate, in the cellular automaton of two-dimensional traffic flow, the anisotropic effect of the probabilities of the change of the move directions of cars, from up to right ($p_{ur}$) and from…

Statistical Mechanics · Physics 2009-11-10 A. Benyoussef , H. Chakib , H. Ez-Zahraouy

In this paper, we propose the ultra-discrete optimal velocity model, a cellular-automaton model for traffic flow, by applying the ultra-discrete method for the optimal velocity model. The optimal velocity model, defined by a differential…

Cellular Automata and Lattice Gases · Physics 2009-05-23 Masahiro Kanai , Shin Isojima , Katsuhiro Nishinari , Tetsuji Tokihiro

In this paper, we present the simulation of a simple, yet significantly powerful, sequential model by cellular automata. The simulated model is called oblivious multi-head one-way finite automata and is characterized by having its heads…

Cellular Automata and Lattice Gases · Physics 2010-12-07 Alex Borello

In this paper we propose a numerical study of macroscopic models for collective cell migration, focusing on a multi-dimensional pressureless Euler-type model with non-local interactions coupled with chemotaxis, rigorously derived from…

Numerical Analysis · Mathematics 2025-08-06 Marta Menci , Roberto Natalini , Tommaso Tenna

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…

We investigate the percolation properties of a two-state (occupied - empty) cellular automaton, where at each time step a cluster of occupied sites is removed and the same number of randomly chosen empty sites are occupied again. We find a…

Statistical Mechanics · Physics 2009-10-30 Siegfried Clar , Barbara Drossel , Klaus Schenk , Franz Schwabl

Generalizing the motion representation we introduced for number-conserving rules, we give a systematic way to construct a generalized motion representation valid for non-conservative rules using the expression of the current, which appears…

Cellular Automata and Lattice Gases · Physics 2015-06-26 Nino Boccara , Henryk Fuks

We present numerical results obtained from the modelling of a stochastic, highly connected and mobile community. The spread of attributes like health, disease among the community members is simulated using cellular automata on a planar 2…

Populations and Evolution · Quantitative Biology 2020-08-26 Ishant Tiwari , Pradeep Sarin , Punit Parmananda

We study the dynamic range of a cellular automaton model for a neuronal network with electrical and chemical synapses. The neural network is separated into two layers, where one layer corresponds to inhibitory, and the other corresponds to…

Adaptation and Self-Organizing Systems · Physics 2015-06-23 F. S. Borges , E. L. Lameu , A. M. Batista , K. C. Iarosz , M. S. Baptista , R. L. Viana

Tile displacement is a newly-recognized mechanism in DNA nanotechnology that exploits principles analogous to toehold-mediated strand displacement but within the context of self-assembled DNA origami tile arrays. Here, we formulate an…

Emerging Technologies · Computer Science 2023-01-06 Erik Winfree , Lulu Qian

Modelling pedestrian behavior is crucial in the development and testing of autonomous vehicles. In this work, we present a hierarchical pedestrian behavior model that generates high-level decisions through the use of behavior trees, in…

Robotics · Computer Science 2026-02-02 Scott Larter , Rodrigo Queiroz , Sean Sedwards , Atrisha Sarkar , Krzysztof Czarnecki

To enhance the evacuation efficiency in partially observable asymmetric-exit evacuation under guidance, a general framework of the dynamic guiding assistant system is presented to investigate the effect of density control. In this…

Physics and Society · Physics 2021-11-16 Fengqiang Gao , Yuyue Yan , Zhihao Chen , Linxiao Zheng , Huan Ren

Multiphase field models have emerged as an important computational tool for understanding biological tissue while resolving single-cell properties. While they have successfully reproduced many experimentally observed behaviors of living…

Soft Condensed Matter · Physics 2025-02-13 Michael Chiang , Austin Hopkins , Benjamin Loewe , Davide Marenduzzo , M. Cristina Marchetti
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