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Single-molecule localization microscopy allows practitioners to locate and track labeled molecules in biological systems. When extracting diffusion coefficients from the resulting trajectories, it is common practice to perform a linear fit…

生物物理 · 物理学 2024-06-19 Jakob Tómas Bullerjahn , Gerhard Hummer

An experimental study of the tracer dispersion in a complex structure is presented. A point source of tracer (dyed salt) was placed inside a multi-compartment structure embedded in water tank. This experimental setting corresponds to a…

流体动力学 · 物理学 2012-09-10 A. Skvortsov , B. Suendermann , G. Gamble , M. Roberts , O. Ilaya , D. Pitaliadda

Single-particle traces of the diffusive motion of molecules, cells, or animals are by-now routinely measured, similar to stochastic records of stock prices or weather data. Deciphering the stochastic mechanism behind the recorded dynamics…

统计力学 · 物理学 2023-09-14 Henrik Seckler , Janusz Szwabinski , Ralf Metzler

Multilayer networks describe the rich ways in which nodes are related by accounting for different relationships in separate layers. These multiple relationships are naturally represented by an adjacency tensor. In this work we study the use…

社会与信息网络 · 计算机科学 2024-04-04 Izabel Aguiar , Dane Taylor , Johan Ugander

Volume-filling cross-diffusion equations for the components of a tissue structure are formally derived from mass conservation laws and force balances for the interphase pressures and viscous drag forces in a multiphase approach. The…

偏微分方程分析 · 数学 2026-04-03 Ansgar Jüngel , Cordula Reisch , Sara Xhahysa

Motivated by the looming "capacity crunch" in fiber-optic networks, information transmission over such systems is revisited. Among numerous distortions, inter-channel interference in multiuser wavelength-division multiplexing (WDM) is…

信息论 · 计算机科学 2014-10-09 Mansoor I. Yousefi , Frank R. Kschischang

Time-of-Flight (ToF) sensors efficiently capture scene depth, but the nonlinear depth construction procedure often results in extremely large noise variance or even invalid areas. Recent methods based on deep neural networks (DNNs) achieve…

计算机视觉与模式识别 · 计算机科学 2025-03-26 Changyong He , Jin Zeng , Jiawei Zhang , Jiajie Guo

Recently, \textit{diffusion history inference} has become an emerging research topic due to its great benefits for various applications, whose purpose is to reconstruct the missing histories of information diffusion traces according to…

社会与信息网络 · 计算机科学 2017-08-24 Yanchao Sun , Cong Qian , Ning Yang , Philip S. Yu

We study the diffusion process in binary mixtures using transition probabilities that depend on a mean-field potential. This approach reproduces the Darken equation, a relationship between the intrinsic and the tracer diffusion…

统计力学 · 物理学 2019-08-21 Marisel Di Pietro Martínez , Miguel Hoyuelos

Incomplete data are common in real-world tabular applications, where numerical, categorical, and discrete attributes coexist within a single dataset. This heterogeneous structure presents significant challenges for existing diffusion-based…

机器学习 · 计算机科学 2025-11-19 Youran Zhou , Mohamed Reda Bouadjenek , Sunil Aryal

We derive exact strong-contrast expansions for the effective dielectric tensor $\epeff$ of electromagnetic waves propagating in a two-phase composite random medium with isotropic components explicitly in terms of certain integrals over the…

材料科学 · 物理学 2009-11-13 Mikael C. Rechtsman , Salvatore Torquato

The global-in-time existence of bounded weak solutions to the Maxwell-Stefan-Fourier equations in Fick-Onsager form is proved. The model consists of the mass balance equations for the partial mass densities and and the energy balance…

偏微分方程分析 · 数学 2020-11-02 Christoph Helmer , Ansgar Jüngel

The static topological fractional charge (TFC) in condensed matter systems is related to the band topology and thus has potential applications in topological quantum computation. However, the experimental measurement of these TFCs in…

介观与纳米尺度物理 · 物理学 2022-08-29 Shu-guang Cheng , Yijia Wu , Hua Jiang , Qing-Feng Sun , X. C. Xie

High-dimensional, higher-order tensor data are gaining prominence in a variety of fields, including but not limited to computer vision and network analysis. Tensor factor models, induced from noisy versions of tensor decompositions or…

统计方法学 · 统计学 2024-12-16 Xu Zhang , Guodong Li , Catherine C. Liu , Jianhua Guo

Recently, environment reconstruction (ER) in integrated sensing and communication (ISAC) systems has emerged as a promising approach for achieving high-resolution environmental perception. However, the initial results obtained from ISAC…

网络与互联网体系结构 · 计算机科学 2026-01-06 Nguyen Duc Minh Quang , Chang Liu , Shuangyang Li , Hoai-Nam Vu , Derrick Wing Kwan Ng , Wei Xiang

Single-file diffusion refers to the motion of diffusive particles in narrow channels, so that they cannot bypass each other. This constraint leads to the subdiffusion of a tagged particle, called the tracer. This anomalous behaviour results…

统计力学 · 物理学 2023-05-01 Aurélien Grabsch , Pierre Rizkallah , Alexis Poncet , Pierre Illien , Olivier Bénichou

We consider a two-component mixture model with one known component. We develop methods for estimating the mixing proportion and the unknown distribution nonparametrically, given i.i.d.~data from the mixture model, using ideas from shape…

统计方法学 · 统计学 2015-11-10 Rohit Kumar Patra , Bodhisattva Sen

Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared displacement in experiments. This approach may overlook other mechanisms and their interaction…

统计力学 · 物理学 2023-09-11 Haroldo V. Ribeiro , Angel A. Tateishi , Ervin K. Lenzi , Richard L. Magin , Matjaz Perc

Tracking of individual particle and studying their motion serves as a direct means to understand the dynamics in crowded and complex environments. In this study, the dynamics of tracer particles in the matrix of dense soft-colloidal…

软凝聚态物质 · 物理学 2023-06-28 Jimpaul Samukcham , Lenin S. Shagolsem

In order to characterize the mechanisms governing the diffusion of particles in biological scenarios, it is essential to accurately determine their diffusive properties. To do so, we propose a machine learning method to characterize…

软凝聚态物质 · 物理学 2023-11-29 Borja Requena , Sergi Masó , Joan Bertran , Maciej Lewenstein , Carlo Manzo , Gorka Muñoz-Gil
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