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We investigate the effects of spatial heterogeneity on the coexistence of competing species in the case when the heterogeneity is dynamically generated by environmental flows with chaotic mixing properties. We show that one of the effects…

Chaotic Dynamics · Physics 2007-05-23 I. Scheuring , G. Karolyi , Z. Toroczkai , T. Tel , A. Pentek

We show how highly-diverse ecological communities may display persistent abundance fluctuations, when interacting through resource competition and subjected to migration from a species pool. This turns out to be closely related to the ratio…

Statistical Mechanics · Physics 2020-02-12 Itay Dalmedigos , Guy Bunin

We study molecular dynamics within populations of diffusively coupled cells under the assumption of fast diffusive exchange. As a technical tool, we propose conditions on boundedness and ultimate boundedness for systems with a singular…

Cell Behavior · Quantitative Biology 2012-12-19 Steffen Waldherr , Frank Allgöwer

We study the interplay of population growth and evolutionary dynamics using a stochastic model based on birth and death events. In contrast to the common assumption of an independent population size, evolution can be strongly affected by…

Populations and Evolution · Quantitative Biology 2012-06-05 Jonas Cremer , Anna Melbinger , Erwin Frey

Deciphering the control principles of metabolism and its interaction with other cellular functions is central to biomedicine and biotechnology. Yet, understanding the efficient control of metabolic fluxes remains elusive for large-scale…

Molecular Networks · Quantitative Biology 2015-09-04 Georg Basler , Zoran Nikoloski , Abdelhalim Larhlimi , Albert-László Barabási , Yang-Yu Liu

Modelling, analysing and inferring triggering mechanisms in population reproduction is fundamental in many biological applications. It is also an active and growing research domain in mathematical biology. In this chapter, we review the…

Analysis of PDEs · Mathematics 2023-01-09 Marie Doumic , Marc Hoffmann

Theoretically, communities at or near their equilibrium species number resist entry of new species. Such 'biotic resistance' recently has been questioned because of successful entry of alien species into diverse natural communities. Data on…

Populations and Evolution · Quantitative Biology 2010-04-15 Colleen K. Kellya , Stephen J. Blundell , Michael G. Bowler , Gordon A. Fox , Paul H. Harvey , Mark R. Lomas , F. Ian Woodward

The effect of mechanical interactions between cells in the spreading of bacterial populations was investigated in one-dimensional space. A continuum-mechanics approach, comprising cell migration, proliferation, and exclusion processes, was…

Biological Physics · Physics 2015-12-15 Waipot Ngamsaad , Suthep Suantai

Continuous cultures of mammalian cells are complex systems displaying hallmark phenomena of nonlinear dynamics, such as multi-stability, hysteresis, as well as sharp transitions between different metabolic states. In this context…

Molecular Networks · Quantitative Biology 2019-03-01 Jorge Fernandez-de-Cossio-Diaz , Roberto Mulet

We propose a minimal off-lattice model of living organisms where just a very few dynamical rules of growth are assumed. The stable coexistence of many clusters is detected when we replace the global restriction rule by a locally applied…

Physics and Society · Physics 2021-08-19 B. F. de Oliveira , M. V. de Moraes , D. Bazeia , A. Szolnoki

We present a new kinetic equation for cell migration driven by mechanical interactions with the substrate, an effect not previously captured in kinetic models, and essential for explaining observed collective behaviors such as those in…

Analysis of PDEs · Mathematics 2026-01-12 Benoît Perthame , Francesco Salvarani , Shugo Yasuda

Current mathematical frameworks for predicting the flux state and macromolecular composition of the cell do not rely on thermodynamic constraints to determine the spontaneous direction of reactions. These predictions may be biologically…

Optimization and Control · Mathematics 2020-08-14 Amir Akbari , Bernhard O. Palsson

Statistical physics can describe the behavior of microbial populations consisting of many heterogeneous individuals. A direct consequence is the existence of phase transitions, where the behavior of a population changes discontinuously upon…

Populations and Evolution · Quantitative Biology 2026-04-20 Kaan Öcal , Syrine Ghrabli , Michael P. H. Stumpf

A big challenge in current biology is to understand the exact self-organization mechanism underlying complex multi-physics coupling developmental processes. With multiscale computations of from subcellular gene expressions to cell…

Cell Behavior · Quantitative Biology 2021-05-18 Xiaoliang Wang , Dongyun Bai

Antibiotic resistance is a major threat to global health. It emerges in multispecies microbial communities under antibiotic exposure. This makes antibiotic spectrum -- a drug's distribution of effects across species -- a potential key…

Populations and Evolution · Quantitative Biology 2026-04-21 Magnus Aspenberg , Erik Andreas Martens , Kristofer Wollein Waldetoft

Populations of species in ecosystems are often constrained by availability of resources within their environment. In effect this means that a growth of one population, needs to be balanced by comparable reduction in populations of others.…

Populations and Evolution · Quantitative Biology 2016-02-17 Sergei Maslov , Kim Sneppen

Bacteria possess diverse mechanisms to regulate their motility in response to environmental and physiological signals, enabling them to navigate complex habitats and adapt their behavior. Among these mechanisms, interspecies recognition…

Populations and Evolution · Quantitative Biology 2025-12-01 Mattia Mattei , David Soriano Paños , Mahantesh Halappanavar , Alex Arenas

We study the emergence of cell differentiation under the assumption of the existence of a given number of tradeoffs between genes encoding different functions. In the model the viability of colonies is determined by the capability of their…

Populations and Evolution · Quantitative Biology 2017-06-06 André Amado , Paulo R. A. Campos

Progress in molecular methods has enabled the monitoring of bacterial populations in time. Nevertheless, understanding community dynamics and its links with ecosystem functioning remains challenging due to the tremendous diversity of…

Populations and Evolution · Quantitative Biology 2022-08-11 Jana C. Massing , Ashkaan Fahimipour , Carina Bunse , Jarone Pinhassi , Thilo Gross

A birth-death lattice gas model about the influence of an environment on the fitness and concentration evolution of economic entities is analytically examined. The model can be mapped onto a high order logistic map. The control parameter is…

Statistical Mechanics · Physics 2012-10-03 J. Miśkiewicz , M. Ausloos