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Understanding the asymptotic behavior of reaction-diffusion (RD) systems is crucial for modeling processes ranging from species coexistence in ecology to biochemical interactions within cells. In this work, we analyze RD systems in which…

动力系统 · 数学 2025-02-18 Carlos Barajas , Jean-Jacques Slotine , Domitilla Del Vecchio

Environmental science almost invariably proposes problems of extreme complexity, typically characterized by strongly nonlinear evolution dynamics. The systems under investigation have many degrees of freedom - which makes them complicated -…

大气与海洋物理 · 物理学 2007-05-23 A. Speranza , V. Lucarini

Spatial diffusion of particles in periodic potential models has provided a good framework for studying the role of chaos in global properties of classical systems. Here a bidimensional "soft" billiard, classically modeled from an optical…

统计力学 · 物理学 2022-05-16 Matheus J. Lazarotto , Iberê L. Caldas , Yves Elskens

The rise of multicellularity in the early evolution of life represents a major challenge for evolutionary biology. Guidance for finding answers has emerged from disparate fields, from phylogenetics to modelling and synthetic biology, but…

种群与进化 · 定量生物学 2015-11-09 Salva Duran-Nebreda , Adriano Bonforti , Raul Montañez , Sergi Valverde , Ricard Solé

Near-field hydrodynamic interactions between bacteria and no-slip solid surfaces are the main mechanism underlying surface entrapment of bacteria. In this study, we employ a chiral two-body model to simulate bacterial dynamics near the…

软凝聚态物质 · 物理学 2026-02-25 Baopi Liu , Lu Chen , Haiqin Wang

The question of the onset of the homochirality on prebiotic Earth still remains a fundamental question in the quest for the origin of life. Recent works in this field introduce the concept of recycling, rather than the traditional open-flow…

分子网络 · 定量生物学 2011-05-23 Raphael Plasson

With recent advances in structural biology, including experimental techniques and deep learning-enabled high-precision structure predictions, molecular dynamics methods that scale up to large biomolecular systems are required. Current…

生物物理 · 物理学 2022-06-24 Tim Hempel , Simon Olsson , Frank Noé

Generalizing the cyclically competing three-species model (often referred to as the rock-paper-scissors game), we consider a simple system of population dynamics without spatial structures that involves four species. Unlike the previous…

种群与进化 · 定量生物学 2011-01-06 Sara O. Case , Clinton H. Durney , Michel Pleimling , R. K. P. Zia

The origin of life must have been preceded by Darwin-like evolutionary dynamics that could propagate it. How did that adaptive dynamics arise? And from what prebiotic molecules? Using evolutionary invasion analysis, we develop a universal…

种群与进化 · 定量生物学 2024-07-25 Charles D. Kocher , Ken A. Dill

Biological mixtures, such as the cellular cytoplasm, are composed of a large number of different components. From this heterogeneity, ordered mesoscopic structures emerge, such as liquid phases with controlled composition. These structures…

生物物理 · 物理学 2024-12-03 Rodrigo Braz Teixeira , Giorgio Carugno , Izaak Neri , Pablo Sartori

The dynamics of ecological as well as chemical systems may depend on heterogeneous configurations. Heterogeneity in reaction-diffusion systems often increase modelling and simulating difficulties when non-linear effects are present. One…

物理与社会 · 物理学 2019-08-27 Orlando Silva

This paper develops a quasispecies model where cells can adopt a two-cell survival strategy. Within this strategy, pairs of cells join together, at which point one of the cells sacrifices its own replicative ability for the sake of the…

种群与进化 · 定量生物学 2009-11-11 Emmanuel Tannenbaum

During overflow metabolism, cells excrete glycolytic byproducts when growing under aerobic conditions in a seemingly wasteful fashion. While potentially advantageous for microbes with finite oxidative capacity, its role in higher organisms…

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

物理与社会 · 物理学 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

Dynamics of a particle diffusing in a confinement can be seen a sequence of bulk-diffusion-mediated hops on the confinement surface. Here, we investigate the surface hopping propagator that describes the position of the diffusing particle…

统计力学 · 物理学 2020-09-23 Denis S. Grebenkov

A dynamical model of an ecological community is analyzed within a "mean-field approximation" in which one of the species interacts with the combination of all of the other species in the community. Within this approximation the model may be…

适应与自组织系统 · 物理学 2009-10-31 Alan McKane , David Alonso , Ricard V. Sole

Reaction-diffusion processes are the foundational model for a diverse range of complex systems, ranging from biochemical reactions to social agent-based phenomena. The underlying dynamics of these systems occur at the individual…

统计力学 · 物理学 2025-10-15 Mauricio J. del Razo , Margarita Kostré

In many biological systems, motile agents exhibit random motion with short-term directional persistence, together with crowding effects arising from spatial exclusion. We formulate and study a class of lattice-based models for multiple…

生物物理 · 物理学 2019-11-06 Stephen Zhang , Aaron Chong , Barry D. Hughes

We show that a two-dimensional system of flocking microswimmers interacting hydrodynamically can be expressed using a Hamiltonian formalism. The Hamiltonian depends strictly on the angles between the particles and their swimming…

软凝聚态物质 · 物理学 2023-05-23 Yuval Shoham , Naomi Oppenheimer

Lateral diffusion of molecules on surfaces plays a very important role in various biological processes, including lipid transport across the cell membrane, synaptic transmission and other phenomena such as exo- and endocytosis, signal…

偏微分方程分析 · 数学 2013-11-12 A. B. Duncan , C. M. Elliott , G. A. Pavliotis , A. M. Stuart
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