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Intracellular transport processes driven by molecular motors can be described by stochastic lattice models of self-driven particles. Here we focus on bidirectional transport models excluding the exchange of particles on the same track. We…

生物物理 · 物理学 2015-05-27 M. Ebbinghaus , C. Appert-Rolland , L. Santen

Many natural systems, such as neurons firing in the brain or basketball teams traversing a court, give rise to time series data with complex, nonlinear dynamics. We can gain insight into these systems by decomposing the data into segments…

The study of interactions between multiple species in an ecosystem is an active and impactful direction of inquiry. This is true in particular for fragile systems in which even small perturbations of their functional parameters can produce…

种群与进化 · 定量生物学 2025-01-14 Anca Radulescu , Richard Halpern , Drew Kozlowski , Conor O'Riordan

The stiffness modulation mechanism for soft robotics has gained considerable attention to improve deformability, controllability, and stability. However, for the existing stiffness soft actuator, high lateral stiffness and a wide range of…

机器人学 · 计算机科学 2022-11-23 Jianfeng Lin , Ruikang Xiao , Miao Li , Xiaohui Xiao , Zhao Guo

We propose a minimal model of predator-swarm interactions which captures many of the essential dynamics observed in nature. Different outcomes are observed depending on the predator strength. For a "weak" predator, the swarm is able to…

适应与自组织系统 · 物理学 2014-03-14 Yuxin Chen , Theodore Kolokolnikov

We study a discrete non-autonomous system whose autonomous counterpart (with the frozen bifurcation parameter) admits a saddle-node bifurcation, and in which the bifurcation parameter slowly changes in time and is characterized by a sweep…

数值分析 · 数学 2023-11-14 Jay Chu , Jun-Jie Lin , Je-Chiang Tsai

Wild animals are commonly fitted with trackers that record their position through time, and statistical models for tracking data broadly fall into two categories: models focused on small-scale movement decisions, and models for large-scale…

应用统计 · 统计学 2025-10-07 Théo Michelot , Ephraim M. Hanks

From molecular, cellular, to ecological systems, the modeling of biological processes often stands on the assumption that fast components immediately reach the equilibrium at each moment (quasi-steady state) and only slow components govern…

定量方法 · 定量生物学 2026-05-28 Pan-Jun Kim

Walking animals, like stick insects, cockroaches or ants, demonstrate a fascinating range of locomotive abilities and complex behaviors. The locomotive behaviors can consist of a variety of walking patterns along with adaptation that allow…

神经与进化计算 · 计算机科学 2016-08-08 Sakyasingha Dasgupta , Dennis Goldschmidt , Florentin Wörgötter , Poramate Manoonpong

We consider an ecological model consisting of two species of predators competing for their common prey with explicit interference competition. With a proper rescaling, the model is portrayed as a singularly perturbed system with one-fast…

动力系统 · 数学 2022-09-23 Susmita Sadhu

In networked systems, the interplay between the dynamics of individual subsystems and their network interactions has been found to generate multistability in various contexts. Despite its ubiquity, the specific mechanisms and ingredients…

动力系统 · 数学 2024-11-22 Kalel L. Rossi , Everton S. Medeiros , Peter Ashwin , Ulrike Feudel

Reactive lattice gas automata provide a microscopic approachto the dynamics of spatially-distributed reacting systems. After introducing the subject within the wider framework of lattice gas automata (LGA) as a microscopic approach to the…

comp-gas · 物理学 2009-10-28 Jean Pierre Boon , David Dab , Raymond Kapral , Anna Lawniczak

Bifurcations mark qualitative changes of long-term behavior in dynamical systems and can often signal sudden ("hard") transitions or catastrophic events (divergences). Accurately locating them is critical not just for deeper understanding…

机器学习 · 计算机科学 2024-06-18 Yorgos M. Psarellis , Themistoklis P. Sapsis , Ioannis G. Kevrekidis

Crawling is a common locomotion mechanism in soft robots and nonskeletal animals. In this work we propose modeling soft-robotic legged locomotion by approximating it with an equivalent articulated robot with elastic joints. For concreteness…

软凝聚态物质 · 物理学 2020-01-22 Benny Gamus , Lior Salem , Amir D. Gat , Yizhar Or

We explore the transport properties of an interacting Fermi gas in a three-dimensional optical lattice. The center of mass dynamics of the atoms after a sudden displacement of the trap minimum is monitored for different interaction…

Scaling mobility patterns have been widely observed for animals. In this paper, we propose a deterministic walk model to understand the scaling mobility patterns, where walkers take the least-action walks on a lattice landscape and prey.…

数据分析、统计与概率 · 物理学 2015-05-20 Xiao-Pu Han , Tao Zhou , Bing-Hong Wang

The fundamental mechanism of hysteresis in the quasistatic limit of multi-stable systems is associated with transitions of the system from one local minimum of the potential energy to another. In this scenario, as system parameters are…

材料科学 · 物理学 2023-09-19 Dmitrii Rachinskii , Andrei Zagvozdkin , Oleg Gendelman

The recent experimental implementation of condensed matter models in optical lattices has motivated research on their nonequilibrium behavior. Predictions on the dynamics of superconductors following a sudden quench of the pairing…

量子气体 · 物理学 2010-06-04 Michael Moeckel , Stefan Kehrein

We study the structure of stationary patterns in bistable lattice dynamical systems posed on rings with a symmetric coupling structure in the regime of small coupling strength. We show that sparse coupling (for instance, nearest-neighbour…

动力系统 · 数学 2021-06-11 Moyi Tian , Jason J. Bramburger , Bjorn Sandstede

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

种群与进化 · 定量生物学 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin