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This paper is concerned with a mathematical model of competition for resource where species consume noninteracting resources. This system of differential equations is formally obtained by renormalizing the MacArthur's competition model at…

Dynamical Systems · Mathematics 2020-07-27 Wenli Cai , Hailiang Liu

The rise in the availability of bacterial genomes defines a need for synthesis: abstracting from individual taxa, to see larger patterns of bacterial lifestyles across systems. A key concept for such synthesis in ecology is the niche, the…

Populations and Evolution · Quantitative Biology 2020-11-03 Ashkaan K Fahimipour , Thilo Gross

Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

Molecular Networks · Quantitative Biology 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

We study the growth of a population of bacteria in a dynamical hostile environment corresponding to the immune system of the colonised organism. The immune cells evolve as subcritical open clusters of oriented percolation and are…

Populations and Evolution · Quantitative Biology 2013-10-07 Olivier Garet , Régine Marchand

We study analytically and numerically a model metabolic cycle composed of an arbitrary number of species of catalytically active particles. Each species converts a substrate into a product, the latter being used as the substrate by the next…

Soft Condensed Matter · Physics 2023-09-29 Vincent Ouazan-Reboul , Jaime Agudo-Canalejo , Ramin Golestanian

We study distributed agreement in microbial distributed systems under stochastic population dynamics and competitive interactions. Motivated by recent applications in synthetic biology, we examine how the presence and absence of direct…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-10 Victoria Andaur , Janna Burman , Matthias Függer , Manish Kushwaha , Bilal Manssouri , Thomas Nowak , Joel Rybicki

We study a statistical model describing the steady state distribution of the fluxes in a metabolic network. The resulting model on continuous variables can be solved by the cavity method. In particular analytical tractability is possible…

Molecular Networks · Quantitative Biology 2009-11-13 Ginestra Bianconi

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

Understanding the organization of reaction fluxes in cellular metabolism from the stoichiometry and the topology of the underlying biochemical network is a central issue in systems biology. In this task, it is important to devise reasonable…

Molecular Networks · Quantitative Biology 2009-11-13 C. Martelli , A. De Martino , E. Marinari , M. Marsili , I. Perez Castillo

Biological and social systems are structured at multiple scales, and the incentives of individuals who interact in a group may diverge from the collective incentive of the group as a whole. Mechanisms to resolve this tension are responsible…

Populations and Evolution · Quantitative Biology 2023-05-31 Daniel B. Cooney , Simon A. Levin , Yoichiro Mori , Joshua B. Plotkin

Microbial communities are ubiquitous in nature and come in a multitude of forms, ranging from communities dominated by a handful of species to communities containing a wide variety of metabolically distinct organisms. This huge range in…

Biological Physics · Physics 2021-11-02 Amir Erez , Jaime G. Lopez , Yigal Meir , Ned S. Wingreen

Resource Balance Analysis (RBA) is a framework for predicting steady-state cellular growth under resource constraints. However, classical RBA formulations are static and do not capture the dynamic regulation of biosynthetic resources or…

Optimization and Control · Mathematics 2026-01-21 Saeed Sadeghi Arjmand

We present a two-species population model in a well-mixed environment where the dynamics involves, in addition to birth and death, changes due to environmental factors and inter-species interactions. The novel dynamical components are…

Biological Physics · Physics 2020-09-17 J. J. Dong , J. D. Russo , K. Sampson

Despite their topological complexity almost all functional properties of metabolic networks can be derived from steady-state dynamics. Indeed, many theoretical investigations (like flux-balance analysis) rely on extracting function from…

Molecular Networks · Quantitative Biology 2009-11-13 Carsten Marr , Mark Mueller-Linow , Marc-Thorsten Huett

A metabolic model can be represented as bipartite graph comprising linked reaction and metabolite nodes. Here it is shown how a network of conserved fluxes can be assigned to the edges of such a graph by combining the reaction fluxes with a…

Molecular Networks · Quantitative Biology 2015-05-13 Patrick B. Warren , Silvio M. Duarte Queiros , Janette L. Jones

Growth in bacterial populations generally depends on the environment (availability and quality of nutrients, presence of a toxic inhibitor, product inhibition..). Here, we build a model to describe the action of a bacteriostatic antibiotic,…

Biological Physics · Physics 2025-06-25 Barnabe Ledoux , David Lacoste

The rapidly developing theory of complex networks indicates that real networks are not random, but have a highly robust large-scale architecture, governed by strict organizational principles. Here, we focus on the properties of biological…

Molecular Networks · Quantitative Biology 2007-05-23 E. Almaas , A. -L. Barabasi

The self-organization of microbial ecosystems involves a large variety of mechanisms, ranging from biochemical signaling to population dynamics. Among these, the role of motility regulation has been little studied, despite the importance of…

Statistical Mechanics · Physics 2025-03-18 Alberto Dinelli , Ada Altieri , Julien Tailleur

The processes and mechanisms underlying the origin and maintenance of biological diversity have long been of central importance in ecology and evolution. The competitive exclusion principle states that the number of coexisting species is…

Populations and Evolution · Quantitative Biology 2020-12-02 Michael Doebeli , Eduardo Cancino Jaque , Iaroslav Ispolatov

We consider a simple information-theoretic model of communication, in which two species of bacteria have the option of exchanging information about their environment, thereby improving their chances of survival. For this purpose, we model a…

Multiagent Systems · Computer Science 2016-04-05 Andres C. Burgos , Daniel Polani