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We propose and analyze a nonlinear age-structured multi-species model that serves as a unifying framework for ecological and biotechnological systems in complex environments (microbial communities, bioreactors, and others). The formulation…

偏微分方程分析 · 数学 2025-09-23 Marius Bargo , Yacouba Simpore

We propose a model for bacterial Quorum Sensing based on an auxiliary electrostatic-like interac-tion originating from a fictitious electrical charge that represents bacteria activity. A cooperative mechanism for charge/activity exchange is…

生物物理 · 物理学 2023-02-22 Eleonora Alfinito , Maura Cesaria , Matteo Beccaria

The multiple futile cycle is a phosphorylation system in which a molecular substrate might be phosphorylated sequentially n times by means of an enzymatic mechanism. The system has been studied mathematically using reaction network theory…

分子网络 · 定量生物学 2020-10-28 Elisenda Feliu , Alan D. Rendall , Carsten Wiuf

Living organisms have to adjust to their surrounding in order to survive in stressful conditions. We study this mechanism in one of most primitive creatures - photosynthetic green sulfur bacteria. These bacteria absorb photons very…

During batch growth on mixtures of two growth-limiting substrates, microbes consume the substrates either sequentially or simultaneously. These growth patterns are manifested in all types of bacteria and yeasts. The ubiquity of these growth…

细胞行为 · 定量生物学 2008-01-09 Jason T. Noel , Atul Narang

We present a modified water-vegetation model to investigate the mechanistic relationship between infiltration-soil moisture feedback and vegetation pattern in arid/semi-arid ecosystems. Employing Turing pattern formation theory, we drive…

动力系统 · 数学 2025-08-05 Juan Yan , Xiaoli Wang , Guohong Zhang , Yuan Yuan

The fuel-driven process of replication in living systems generates distributions of copied entities with varying degrees of copying accuracy. Here we introduce a thermodynamically consistent ensemble for investigating universal population…

统计力学 · 物理学 2025-02-18 Arthur Genthon , Carl D. Modes , Frank Jülicher , Stephan W. Grill

A new type of cooperativity termed temporal cooperativity [Biophys. Chem. 105 585-593 (2003), Annu. Rev. Phys. Chem. 58 113-142 (2007)], emerges in the signal transduction module of phosphorylation-dephosphorylation cycle (PdPC). It…

化学物理 · 物理学 2009-04-16 Hao Ge , Min Qian

Stability is a desirable property of complex ecosystems. If a community of interacting species is at a stable equilibrium point then it is able to withstand small perturbations to component species' abundances without suffering adverse…

种群与进化 · 定量生物学 2022-09-13 Francesco Caravelli , Phillip Staniczenko

Microbes constantly interact with their environment by depleting and transforming food sources. Theoretical studies have mainly focused on Lotka-Volterra models, which do not account for food source dynamics. In contrast, consumer-resource…

种群与进化 · 定量生物学 2026-02-02 Benedetta Ciarmoli , Sophie Marbach

Feeding the growing human population sustainably amidst climate change is one of the most important challenges in the 21st century. Current practices often lead to the overuse of agronomic inputs, such as synthetic fertilizers and water,…

We analyze the two-field formulation of the quasi-static Biot's equations in bounded domains by means of the inf-sup theory. For this purpose, we exploit an equivalent four-field formulation of the equations, introducing the so-called total…

数值分析 · 数学 2025-04-01 C. Kreuzer , P. Zanotti

Nonequilibrium phase transitions between an active and an absorbing state are found in models of populations, epidemics, autocatalysis, and chemical reactions on a surface. While absorbing-state phase transitions fall generically in the DP…

统计力学 · 物理学 2009-11-07 Ronald Dickman

Instances of critical-like characteristics in living systems at each organizational level as well as the spontaneous emergence of computation (Langton), indicate the relevance of self-organized criticality (SOC). But extrapolating complex…

其他定量生物学 · 定量生物学 2012-08-23 Gargi Mitra-Delmotte , A. N. Mitra

When a system has more than one stable state, how can the stability of these states be compared? This deceptively simple question has important consequences for ecosystems, because systems with alternative stable states can undergo dramatic…

种群与进化 · 定量生物学 2015-10-26 Ben C. Nolting , Karen C. Abbott

Bacteria populations rely on mechanisms such as quorum sensing to coordinate complex tasks that cannot be achieved by a single bacterium. Quorum sensing is used to measure the local bacteria population density, and it controls cooperation…

细胞行为 · 定量生物学 2018-02-14 Adam Noel , Yuting Fang , Nan Yang , Dimitrios Makrakis , Andrew W. Eckford

We analyse the effect of intrinsic fluctuations on the properties of bistable stochastic systems with time scale separation operating under1 quasi-steady state conditions. We first formulate a stochastic generalisation of the quasi-steady…

生物物理 · 物理学 2016-03-02 Roberto de la Cruz , Pilar Guerrero , Fabian Spill , Tomás Alarcón

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

统计力学 · 物理学 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

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…

细胞行为 · 定量生物学 2012-12-19 Steffen Waldherr , Frank Allgöwer

The dynamics of microbial communities is incredibly complex, determined by competition for metabolic substrates and cross-feeding of byproducts. Species in the community grow by harvesting energy from chemical reactions that transform…

种群与进化 · 定量生物学 2022-03-22 Ashish B. George , Tong Wang , Sergei Maslov