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A mutualism is an interaction where the involved species benefit from each other. We study a two-dimensional hexagonal three-state cellular automaton model of a two-species mutualistic system. The simple model is characterized by four…

Cellular Automata and Lattice Gases · Physics 2010-11-23 Andrew Adamatzky , Martin Grube

Social interaction between microbes can be described at many levels of details, ranging from the biochemistry of cell-cell interactions to the ecological dynamics of populations. Choosing the best level to model microbial communities…

Populations and Evolution · Quantitative Biology 2020-09-09 Chen Liao , Tong Wang , Sergei Maslov , Joao B. Xavier

Segregation of populations is a key question in evolution theory. One important aspect is the relation between spatial organization and the population's composition. Here we study a specific example -- sectors in expanding bacterial…

Condensed Matter · Physics 2009-10-31 Ido Golding , Inon Cohen , Eshel Ben-Jacob

Cell colonies of bacteria, tumour cells and fungi, under nutrient limited growth conditions, exhibit complex branched growth patterns. In order to investigate this phenomenon we present a simple hybrid cellular automaton model of cell…

Biological Physics · Physics 2007-05-23 P. Gerlee , A. R. A Anderson

We present a stochastic approach to modeling the dynamics of coexistence of prey and predator populations. It is assumed that the space of coexistence is explicitly subdivided in a grid of cells. Each cell can be occupied by only one…

Populations and Evolution · Quantitative Biology 2015-06-26 Kelly C. de Carvalho , Tania Tome

In the growth of bacterial colonies, a great variety of complex patterns are observed in experiments, depending on external conditions and the bacterial species. Typically, existing models employ systems of reaction-diffusion equations or…

Biological Physics · Physics 2019-11-12 Lautaro Vassallo , David Hansmann , Lidia A. Braunstein

Soil is a complex, dynamic material, with physical properties that depend on its biological content. We propose a cellular automaton model for self-organizing soil structure, where soil aggregates and serves as food for microbial species.…

Biological Physics · Physics 2025-10-10 Riz Fernando Noronha , Kim Sneppen , Kunihiko Kaneko

Intercellular exchange networks are essential for the adaptive capabilities of populations of cells. While diffusional exchanges have traditionally been difficult to map, recent advances in nanotechnology enable precise probing of exchange…

Statistical Mechanics · Physics 2024-12-13 Luís C. F. Latoski , Andrea De Martino , Daniele De Martino

Cells coexist together in colonies or as tissues. Their behaviour is controlled by an interplay between intercellular forces and biochemical regulation. We develop a simple model of the cell cycle, the fundamental regulatory network…

Biological Physics · Physics 2021-08-04 Jintao Li , Simon K. Schnyder , Matthew S. Turner , Ryoichi Yamamoto

Cell cultures exhibit rich and complex behaviors driven by dynamic metabolic interactions among cells. In this work, we present a model that captures these interactions through a framework inspired by statistical mechanics. Using Monte…

Biological Physics · Physics 2025-09-25 A. R. Batista-Tomás , C. Díaz-Faloh , R. Mulet

Stochastic models of diffusion with excluded-volume effects are used to model many biological and physical systems at a discrete level. The average properties of the population may be described by a continuum model based on partial…

Chemical Physics · Physics 2012-12-20 Maria Bruna , S. Jonathan Chapman

Species interactions through cross-feeding via leakage and uptake of chemicals are important in microbial communities, and play an essential role in the coexistence of diverse species. Here, we study a simple dynamical model of a microbial…

Biological Physics · Physics 2026-02-02 Takashi Shimada , Kunihiko Kaneko

Microbial ecosystems are remarkably diverse, stable, and often consist of a balanced mixture of core and peripheral species. Here we propose a conceptual model exhibiting all these emergent properties in quantitative agreement with real…

Populations and Evolution · Quantitative Biology 2018-04-18 Akshit Goyal , Sergei Maslov

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-18 Chengyi Tu , Samir Suweis , Jacopo Grillib , Marco Formentin , Amos Maritan

Empirical observations show that ecological communities can have a huge number of coexisting species, also with few or limited number of resources. These ecosystems are characterized by multiple type of interactions, in particular…

Populations and Evolution · Quantitative Biology 2018-05-21 Chengyi Tu , Samir Suweis , Jacopo Grilli , Marco Formentin , Amos Maritan

In this paper I describe a cellular automaton model of a multi-species ecosystem, suitable for the study of emergent properties of macroevolution. Unlike majority of ecological models, the number of coexisting species is not fixed. Starting…

Populations and Evolution · Quantitative Biology 2009-09-23 Wojciech Borkowski

Growth patterns generated by filamentous organisms (e.g. actinomycetes and fungi) involve spatial and temporal dynamics at different length scales. Several mathematical models have been proposed in the last thirty years to address these…

Populations and Evolution · Quantitative Biology 2007-05-23 Michele Bezzi , Andrea Ciliberto

In the present paper we study a lattice model of two species competing for the same resources. Monte Carlo simulations for d=1, 2, and 3 show that when resources are easily available both species coexist. However, when the supply of…

Populations and Evolution · Quantitative Biology 2011-03-09 Jacek Wendykier , Adam Lipowski , Antonio Luis Ferreira

To explore the coupling between a growing population of microorganisms such as E. coli and a nonuniform nutrient distribution, we formulate a minimalistic model. It consists of active Brownian particles that divide and grow at a…

Biological Physics · Physics 2024-01-11 Till Welker , Holger Stark

Spreading from a seed is studied by Monte Carlo simulation on a square lattice with two types of sites affecting the rates of birth and death. These systems exhibit a critical transition between survival and extinction. For time- dependent…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Hajnalka Gergely , Beata Oborny
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