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Anomalous diffusion or, more generally, anomalous transport, with nonlinear dependence of the mean-squared displacement on the measurement time, is ubiquitous in nature. It has been observed in processes ranging from microscopic movement of…

Local diffusion coefficients in disordered systems such as spin glass systems and living cells are highly heterogeneous and may change over time. Such a time-dependent and spatially heterogeneous environment results in irreproducibility of…

统计力学 · 物理学 2016-12-21 Takuma Akimoto , Eiji Yamamoto

Animals often exhibit changes in their behavior during migration. Telemetry data provide a way to observe geographic position of animals over time, but not necessarily changes in the dynamics of the movement process. Continuous-time models…

In this minireview we present the main results regarding the transport properties of stochastic movement with relocations to known positions. To do so, we formulate the problem in a general manner to see several cases extensively studied…

统计力学 · 物理学 2019-10-23 Axel Masó-Puigdellosas , Daniel Campos , Vicenç Méndez

Animals locomote for various reasons: to search for food, find suitable habitat, pursue prey, escape from predators, or seek a mate. The grand scale of biodiversity contributes to the great locomotory design and mode diversity. Various…

计算机视觉与模式识别 · 计算机科学 2021-05-27 Soo Min Kang , Richard P. Wildes

We study a wide field motion sensitive neuron in the visual system of the blowfly {\em Calliphora vicina}. By rotating the fly on a stepper motor outside in a wooded area, and along an angular motion trajectory representative of natural…

生物物理 · 物理学 2007-05-23 G. D. Lewen , W. Bialek , R. R. de Ruyter van Steveninck

We consider a basic one-dimensional model of diffusion which allows to obtain a diversity of diffusive regimes whose speed depends on the moments of the per-site trapping time. This model is closely related to the continuous time random…

概率论 · 数学 2019-03-08 Elena Floriani , Ricardo Lima , Edgardo Ugalde

This paper is concerned with a model for the dynamics of a single species in a one-dimensional heterogeneous environment. The environment consists of two kinds of patches, which are periodically alternately arranged along the spatial axis.…

偏微分方程分析 · 数学 2024-07-04 François Hamel , Frithjof Lutscher , Mingmin Zhang

We extend a recently introduced prototypical stochastic model describing uniformly the search and return of objects looking for new food sources around a given home. The model describes the kinematic motion of the object with constant speed…

统计力学 · 物理学 2018-10-17 J. Noetel , V. L. S. Freitas , E. E. N. Macau , L. Schimansky-Geier

What is the fastest way of finding a randomly hidden target? This question of general relevance is of vital importance for foraging animals. Experimental observations reveal that the search behaviour of foragers is generally intermittent:…

统计力学 · 物理学 2009-11-11 O. Benichou , M. Coppey , M. Moreau , P-H. Suet , R. Voituriez

Estimating the direction of ambient fluid flow is key for many flying or swimming animals and robots, but can only be accomplished through indirect measurements and active control. Recent work with tethered flying insects indicates that…

系统与控制 · 电气工程与系统科学 2022-04-20 Floris van Breugel

We consider a free boundary model of epithelial cell migration with logistic growth and nonlinear diffusion induced by mechanical interactions. Using numerical simulations, phase plane and perturbation analysis, we find and analyse…

斑图形成与孤子 · 物理学 2020-10-05 Ryan J Murphy , Pascal R Buenzli , Ruth E Baker , Matthew J Simpson

Animal behavior unfolds across many timescales, from fast movement patterns to slow changes in internal states such as hunger, arousal, and circadian phase. These slow variables are rarely measured directly and must instead be inferred from…

定量方法 · 定量生物学 2026-05-26 Rajpreet Kaur , Kanishk Jain , Gordon J. Berman

Levy walk (LW) process has been used as a simple model for describing anomalous diffusion in which the mean squared displacement of the walker grows non-linearly with time in contrast to the diffusive motion described by simple random walks…

统计力学 · 物理学 2021-10-27 Santanu Das , Anupam Kundu

This study offers an interdisciplinary approach to movement technique analysis, designed to deal with intensive interaction between an environment and a trainee. The free-fall stage of skydiving is investigated, when aerial maneuvers are…

系统与控制 · 电气工程与系统科学 2022-01-19 Anna Clarke , Per Olof Gutman

Flight is a complicated task at small scales in part due to the ubiquitous unsteady air which contains it. Flying organisms deal with these difficulties using active and passive control mechanisms to steer their body motion. Body attitudes…

流体动力学 · 物理学 2018-02-13 Timothy Jakobi , Dmitry Kolomenskiy , Teruaki Ikeda , Simon Watkins , Alex Fisher , Hao Liu , Sridhar Ravi

Insects excel in trajectory and attitude handling during flight, yet the specific kinematic behaviours they use for maintaining stability in air disturbances are not fully understood. This study investigates the adaptive strategies of…

定量方法 · 定量生物学 2024-09-04 Tim Jakobi , Simon Watkins , Alex Fisher , Sridhar Ravi

I describe a framework for adaptive scientific exploration based on iterating an Observation--Inference--Design cycle that allows adjustment of hypotheses and observing protocols in response to the results of observation on-the-fly, as data…

天体物理学 · 物理学 2009-11-10 Thomas J. Loredo

We present a new method for detecting superdiffusive behaviour and for determining rates of superdiffusion in time series data. Our method applies equally to stochastic and deterministic time series data (with no prior knowledge required of…

数据分析、统计与概率 · 物理学 2016-12-23 Georg A. Gottwald , Ian Melbourne

In recent years, autoregressive models have had a profound impact on the description of astronomical time series as the observation of a stochastic process. These methods have advantages compared with common Fourier techniques concerning…

天体物理学 · 物理学 2016-01-27 M. König , J. Timmer , R. Staubert