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In this thesis, we develop multiscale models for particle simulations in population dynamics. These models are characterised by prescribing particle motion on two spatial scales: microscopic and macroscopic. At the microscopic level, each…

Computational Engineering, Finance, and Science · Computer Science 2016-09-14 Omar Richardson

We use a two-state ratchet model to study the cooperative bidirectional motion of molecular motors on cytoskeletal tracks with randomly alternating polarities. Our model is based on a previously proposed model [Badoual et al., {\em Proc.…

Soft Condensed Matter · Physics 2015-05-13 David Gillo , Barak Gur , Anne Bernheim-Groswasser , Oded Farago

The general problem of dissipation in macroscopic large-amplitude collective motion and its relation to energy diffusion of intrinsic degrees of freedom of a nucleus is studied. By applying the cranking approach to the nuclear many-body…

Nuclear Theory · Physics 2016-03-28 V. M. Kolomietz , S. Åberg , S. V. Radionov

Studying systems where many individual bodies in motion interact with one another is a complex and interesting area. Simple mechanisms that may be determined for biological, chemical, or physical reasons can lead to astonishingly complex…

Quantitative Methods · Quantitative Biology 2023-01-03 Cameron McNamee , Renee Reijo Pera

Collective motion is a phenomenon observed across length scales in nature, from bacterial swarming and tissue migration to the flocking of animals. The mechanisms underlying this behavior vary significantly depending on the biological…

Soft Condensed Matter · Physics 2025-01-15 Urvi Mahendra Bora , Mohd Suhail Rizvi

Experimental results are presented for a vertically shaken granular layer. In the range of accelerations explored, the layer develops a convective motion in the form of one or more rolls. The velocity of the grains near the wall has been…

Soft Condensed Matter · Physics 2009-11-07 A. Garcimartin , D. Maza , J. L. Ilquimiche , I. Zuriguel

Despite the diversity of materials designated as active matter, virtually all active systems undergo a form of dynamic arrest when crowding and activity compete, reminiscent of the dynamic arrest observed in colloidal and molecular fluids…

Soft Condensed Matter · Physics 2019-05-28 Ludovic Berthier , Elijah Flenner , Grzegorz Szamel

Pour sand into a container and only the grains near the top surface move. The collective motion associated with the translational and rotational energy of the grains in a thin flowing layer is quickly dissipated as friction through…

Motor enzymes are remarkable molecular machines that use the energy derived from the hydrolysis of a nucleoside triphosphate to generate mechanical movement, achieved through different steps that constitute their kinetic cycle. These…

Subcellular Processes · Quantitative Biology 2014-09-05 Luca Ciandrini , M. Carmen Romano , A. Parmeggiani

This paper is a first step to chase the ambitious objective of developing a mathmatical theory of living systems. The contents refer modeling large systems of interacting living entities with the aim of describing their collective behaviors…

We present existence, uniqueness and continuous dependence results for some kinetic equations motivated by models for the collective behavior of large groups of individuals. Models of this kind have been recently proposed to study the…

Analysis of PDEs · Mathematics 2011-12-07 José A. Cañizo , José A. Carrillo , Jesús Rosado

Understanding the movement behaviours of individuals and the way they react to the external world is a key component of any problem that involves the modelling of human dynamics at a physical level. In particular, it is crucial to capture…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Gabriele Galatolo , Mirco Nanni

We present a generalized energy-depot model in which the conversion rate of the internal energy into motion can be dependent on the position and the velocity of a particle. When the conversion rate is a general function of the velocity, the…

Biological Physics · Physics 2009-11-13 Yong Zhang , Chul Koo Kim , Kong-Ju-Bock Lee

The spring-mass system studied in undergraduate physics laboratories may show complex dynamics due to the simultaneous action of gravitational, elastic, and torsional forces, in addition to air friction. In this paper, we describe a…

Physics Education · Physics 2013-06-04 Ilario Boscolo , Fabrizio Castelli , Marco Stellato

Collective motion - or flocking - is an emergent phenomena that underlies many biological processes of relevance, from cellular migrations to animal groups movement. In this work, we derive scaling relations for the fluctuations of the mean…

Soft Condensed Matter · Physics 2023-02-13 Martino Brambati , Giuseppe Fava , Francesco Ginelli

We use a confocal microscope to examine the motion of individual particles in a dense colloidal suspension. Close to the glass transition, particle motion is strongly spatially correlated. The correlations decay exponentially with particle…

Disordered Systems and Neural Networks · Physics 2007-08-09 Eric R. Weeks , John C. Crocker , David A. Weitz

Collective motion in animal groups emerges from the interplay between individual variability and social coordination, yet connecting these scales quantitatively has remained a major challenge.Using high-resolution trajectories of schooling…

Other Condensed Matter · Physics 2026-01-15 Elena G. de Lamo , M. Carmen Miguel , Romualdo Pastor-Satorras

In this work, a generalization of the study of the human gait was made from already existent models in the literature, like models of Keller and Kockshenev. In this hybrid model, a strategy of metabolic energy minimization is combined in a…

In this review we summarize theoretical progress in the field of active matter, placing it in the context of recent experiments. Our approach offers a unified framework for the mechanical and statistical properties of living matter:…

Soft Condensed Matter · Physics 2012-07-13 M. C. Marchetti , J. -F. Joanny , S. Ramaswamy , T. B. Liverpool , J. Prost , Madan Rao , R. Aditi Simha

Tethered particle motion experiments are versatile single-molecule techniques enabling one to address in vitro the molecular properties of DNA and its interactions with various partners involved in genetic regulations. These techniques…

Biological Physics · Physics 2019-09-05 Manoel Manghi , Nicolas Destainville , Annaël Brunet
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