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Chemotaxis is typically modeled in the context of cellular motion towards a static, exogenous source of chemoattractant. Here, we propose a time-dependent mechanism of chemotaxis in which a self-propelled particle ({\it e.g.}, a cell)…

Cell Behavior · Quantitative Biology 2026-05-12 Sarah A. Nowak , Buddhapriya Chakrabarti , Tom Chou , Ajay Gopinathan

This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopic variable of a microscopically defined model, exploring the…

Dynamical Systems · Mathematics 2022-08-02 Ilias Panagiotopoulos , Jens Starke , Jan Sieber , Wolfram Just

Cell state determination is the outcome of intrinsically stochastic biochemical reactions. Tran- sitions between such states are studied as noise-driven escape problems in the chemical species space. Escape can occur via multiple possible…

Biological Physics · Physics 2018-03-28 Roberto de la Cruz , Ruben Perez-Carrasco , Pilar Guerrero , Tomas Alarcon , Karen M. Page

We propose a new method to construct an isotropic cellular automaton corresponding to a reaction-diffusion equation. The method consists of replacing the diffusion term and the reaction term of the reaction-diffusion equation with a random…

Cellular Automata and Lattice Gases · Physics 2011-04-27 A. Nishiyama , T. Tokihiro

Random walks and related spatial stochastic models have been used in a range of application areas including animal and plant ecology, infectious disease epidemiology, developmental biology, wound healing, and oncology. Classical random walk…

Populations and Evolution · Quantitative Biology 2025-08-22 Michael J. Plank , Matthew J. Simpson , Ruth E. Baker

We investigate a cellular automaton (CA) model of traffic on a bi-directional two-lane road. Our model is an extension of the one-lane CA model of {Nagel and Schreckenberg 1992}, modified to account for interactions mediated by passing, and…

Statistical Mechanics · Physics 2009-10-31 Patrice Simon , Howard A Gutowitz

We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching probability dynamically changes according to the value of the…

Cellular Automata and Lattice Gases · Physics 2013-07-02 Pierre Degond , Michael Herty , Jian-Guo Liu

This paper firstly show that a recent model (Tian et al., Transpn. Res. B 71, 138-157, 2015) is not able to well replicate the evolution concavity in traffic flow, i.e. the standard deviation of vehicles increases in a concave/linear way…

Cellular Automata and Lattice Gases · Physics 2015-07-16 Junfang Tian , Rui Jiang , Guangyu Li , Martin Treiber , Ning Jia , Shoufeng Ma

In bacterial populations, cells are able to cooperate in order to yield complex collective functionalities. Interest in population-level cellular behaviour is increasing, due to both our expanding knowledge of the underlying biological…

Multiagent Systems · Computer Science 2012-11-07 Angel Goni-Moreno , Martyn Amos

We derived the critical neighborhood demand in the Schelling's segregation model by studying the conditions for which a chain reaction of migrations of unsatisfied agents occurs. The essence of Schelling dynamics was approximated in two…

Adaptation and Self-Organizing Systems · Physics 2014-02-07 Jae Kyun Shin , Hiroki Sayama

Crowd evacuation simulation is critical for enhancing public safety, and demanded for realistic virtual environments. Current mainstream evacuation models overlook the complex human behaviors that occur during evacuation, such as pedestrian…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Xiaolin Liu , Tianyi Zhou , Hongbo Kang , Jian Ma , Ziwen Wang , Jing Huang , Wenguo Weng , Yu-Kun Lai , Kun Li

A coarse-grained cellular automaton is proposed to simulate traffic systems. There, cells represent road sections. A cell can be in two states: jammed or passable. Numerical calculations are performed for a piece of square lattice with open…

Cellular Automata and Lattice Gases · Physics 2015-06-12 Malgorzata J. Krawczyk , Krzysztof Kulakowski

We study the influence of selfish vs. polite behaviours on the dynamics of a pedestrian evacuation through a narrow exit. To this end, experiments involving about 80 participants with distinct prescribed behaviours are performed;…

Physics and Society · Physics 2016-10-24 Alexandre Nicolas , Sebastián Bouzat , Marcelo Kuperman

In this paper we are concerned with multiscale modeling, control, and simulation of self-organizing agents leaving an unknown area under limited visibility, with special emphasis on crowds. We first introduce a new microscopic model…

Optimization and Control · Mathematics 2016-10-04 Giacomo Albi , Mattia Bongini , Emiliano Cristiani , Dante Kalise

In this paper we present numerical simulations of a macroscopic vision-based model [1] derived from microscopic situation rules described in [2]. This model describes an approach to collision avoidance between pedestrians by taking…

Numerical Analysis · Mathematics 2018-04-09 N. K. Mahato , A. Klar , S. Tiwari

In this work we propose a car cellular automaton model that reproduces the experimental behavior of traffic flows in Bogot\'a. Our model includes three elements: hysteresis between the acceleration and brake gaps, a delay time in the…

Statistical Mechanics · Physics 2009-11-10 L. E. Olmos , J. D. Munoz

The aim of the Hermes project is the development of a computer simulation based on evacuation assistant to support security services in case of emergency in complex buildings and thus to improve safety at mass events. One goal of the…

Physics and Society · Physics 2012-07-26 Jun Zhang , Wolfram Klingsch , Armin Seyfried

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…

Cellular Automata and Lattice Gases · Physics 2012-12-13 Ramon Alonso-Sanz , Andrew Adamatzky

We introduce a model for describing the dynamics of large numbers of interacting cells. The fundamental dynamical variables in the model are sub-cellular elements, which interact with each other through phenomenological intra- and…

Quantitative Methods · Quantitative Biology 2007-05-23 T. J. Newman

In this paper a model of pedestrian motion is presented. As application its parameters are fitted to one run in a primary school evacuation exercise. Simulations with these parameters are compared to further runs during the same exercise.

Computational Physics · Physics 2014-02-10 Tobias Kretz , Michael Schreckenberg