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This thesis focuses on the mechanisms of energy transport in multidimensional heterogeneous lattice models, studying in particular the case of the Klein-Gordon model of coupled anharmonic oscillators in one and two spatial dimensions. We…

Chaotic Dynamics · Physics 2021-04-26 Bob Senyange

We investigate the nonequilibrium dynamics of active matter using a two-dimensional active Brownian particles model. In these systems, self-propelled particles undergo motility-induced phase separation (MIPS), spontaneously segregating into…

Soft Condensed Matter · Physics 2026-02-26 Toranosuke Umemura , Issei Sakai , Takuma Akimoto

Acanthamoebae are free-living protists and human pathogens, whose cellular functions and pathogenicity strongly depend on the transport of intracellular vesicles and granules through the cytosol. Using high-speed live cell imaging in…

Biological Physics · Physics 2015-07-03 J. F. Reverey , J. -H. Jeon , H. Bao , M. Leippe , R. Metzler , C. Selhuber-Unkel

In living cells, intrinsically disordered proteins (IDPs), such as FUS and DDX4, undergo phase separation, forming biomolecular condensates. Using molecular dynamics simulations, we investigate their behavior in their respective homogenous…

Soft Condensed Matter · Physics 2025-11-04 Fuga Watanabe , Takuma Akimoto , Robert B. Best , Kresten Lindorff-Larsen , Ralf Metzler , Eiji Yamamoto

In this paper we develop a probabilistic micro-scale compartmental model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is moved in the axons of neurons. By directly modeling the…

Biological Physics · Physics 2011-05-24 Lea Popovic , Scott A. McKinley , Michael C. Reed

Cytoskeletal motor proteins are involved in major intracellular transport processes which are vital for maintaining appropriate cellular function. The motor exhibits distinct states of motility: active motion along filaments, and…

Biological Physics · Physics 2016-11-29 Anne E. Hafner , Ludger Santen , Heiko Rieger , M. Reza Shaebani

Many transport processes in nature exhibit anomalous diffusive properties with non-trivial scaling of the mean square displacement, e.g., diffusion of cells or of biomolecules inside the cell nucleus, where typically a crossover between…

Statistical Mechanics · Physics 2015-09-16 Andrea Cairoli , Adrian Baule

Transition from random to persistent cell motility requires spatiotemporal organization of the cytoskeleton and focal adhesions. The influence of these two structures on cell steering can also be gleaned from trypsin de-adhesion…

Cell Behavior · Quantitative Biology 2013-10-29 Soumya S S , Subodh Kolwankar , Edna George , Santanu K. Basu , Shamik Sen , Mandar M. Inamdar

Disordered hyperuniform many-particle systems have attracted considerable recent attention. One important class of such systems is the classical ground states of "stealthy potentials." The degree of order of such ground states depends on a…

Statistical Mechanics · Physics 2017-01-02 G. Zhang , F. H. Stillinger , S. Torquato

We quantitatively identify the origin of anomalous transport in a representative model of a heterogeneous system---tracer migration in the complex flow patterns of a lognormally distributed hydraulic conductivity ($K$) field. The transport,…

Fluid Dynamics · Physics 2013-05-13 Yaniv Edery , Harvey Scher , Alberto Guadagnini , Brian Berkowitz

The microtubule cytoskeleton is responsible for sustained, long-range intracellular transport of mRNAs, proteins, and organelles in neurons. Neuronal microtubules must be stable enough to ensure reliable transport, but they also undergo…

Dynamical Systems · Mathematics 2024-03-05 Anna C Nelson , Melissa M Rolls , Maria-Veronica Ciocanel , Scott A McKinley

Movement behavior of biological entities plays a crucial role in their destiny through regulating their intraspecific and interspecific interactions as well as their interaction with surrounding environment. In spite of various models for…

Tissues and Organs · Quantitative Biology 2017-11-10 Youness Azimzade

We investigate the transport properties of active particles undergoing a three-state run-and-tumble dynamics in one dimension, induced by non-reciprocal transition rates between self-propelling velocity states $\{-v, 0, +v\}$ that…

Statistical Mechanics · Physics 2025-08-15 Julio C. R. Romo-Cruz , Francisco J. Sevilla

Multiple experiments show that various submicron particles such as magnetosomes, RNA messengers, viruses, and even much smaller nanoparticles such as globular proteins diffuse anomalously slow in viscoelastic cytosol of living cells. Hence,…

Biological Physics · Physics 2018-11-12 Igor Goychuk

We study the nonequilibrium dynamics of a many-body bosonic system on a lattice, subject to driving and dissipation. The time-evolution is described by a master equation, which we treat within a generalized Gutzwiller mean field…

Quantum Gases · Physics 2013-05-29 Andrea Tomadin , Sebastian Diehl , Peter Zoller

Cell movement, for example during embryogenesis or tumor metastasis, is a complex dynamical process resulting from an intricate interplay of multiple components of the cellular migration machinery. At first sight, the paths of migrating…

Cell Behavior · Quantitative Biology 2009-04-17 Peter Dieterich , Rainer Klages , Roland Preuss , Albrecht Schwab

Many studies on biological and soft matter systems report the joint presence of a linear mean-squared displacement and a non-Gaussian probability density exhibiting, for instance, exponential or stretched-Gaussian tails. This phenomenon is…

Statistical Mechanics · Physics 2019-07-24 Jakub Ślęzak , Krzysztof Burnecki , Ralf Metzler

Intracellular dynamics in living tissue are dominated by active transport driven by bioenergetic processes far from thermal equilibrium. Intracellular constituents typically execute persistent walks. In the limit of long mean-free paths,…

Quantitative Methods · Quantitative Biology 2019-04-12 Zhe Li , Hao Sun , John Turek , Shadia Jalal , Michael Childress , David D. Nolte

Non-Gaussianity indicates complex dynamics related to extreme events or significant outliers. However, the correlation between non-Gaussianity and the dynamics of heterogeneous environments in anomalous diffusion remains uncertain. Inspired…

Soft Condensed Matter · Physics 2023-11-22 Haolan Xu , Xu Zheng , Xinghua Shi

Animal morphogenesis often involves significant shape changes of epithelial tissue sheets. Great progress has been made in understanding the underlying cellular driving forces and their coordination through biomechanical feedback loops.…

Soft Condensed Matter · Physics 2024-09-23 Nikolas H. Claussen , Fridtjof Brauns