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Deterministic Lateral Displacement (DLD) devices enable liquid biopsy for cancer detection by separating circulating tumor cells (CTCs) from blood samples based on size, but designing these microfluidic devices requires computationally…

Machine Learning · Computer Science 2025-11-25 Andrew Lee , Mahir Mobarrat , Xiaolin Chen

We analyze the trajectory of suspended spherical particles moving through a square array of obstacles, in the deterministic limit and at zero Reynolds number. We show that, in the dilute approximation of widely separated obstacles, the…

Fluid Dynamics · Physics 2016-05-04 Sumedh R. Risbud , German Drazer

Inspired by numerous lab on a chip, biomedical and bioengineering applications such as cell sorting, focusing, trapping, and filtering of particles, manipulation of micron sized particle trajectories has been of significant interest in the…

Fluid Dynamics · Physics 2026-03-18 Partha Kumar Das

Linear Parameter Varying (LPV) Systems are a well-established class of nonlinear systems with a rich theory for stability analysis, control, and analytical response finding, among other aspects. Although there are works on data-driven…

Systems and Control · Electrical Eng. & Systems 2025-07-18 Jean Panaioti Jordanou , Eduardo Camponogara , Eduardo Gildin

Particle size is a key variable in understanding the behaviour of the particulate products that underpin much of our modern lives. Typically obtained from suspensions at rest, measuring the particle size under flowing conditions would…

Soft Condensed Matter · Physics 2021-07-22 James A Richards , Vincent A Martinez , Jochen Arlt

We investigate the motion of suspended particles past a single line of equally spaced cylindrical posts that is slanted with respect to the driving force. We show that such a one-dimensional array of posts can fractionate particles…

Fluid Dynamics · Physics 2016-05-04 Raghavendra Devendra , German Drazer

The size- and fluorescence-based sorting of micro- and nano-scale particles suspended in fluid presents a significant and important challenge for both sample analysis and for manufacturing of nanoparticle-based products. Here we demonstrate…

Soft Condensed Matter · Physics 2015-02-16 Sukumar Rajauria , Christopher Axline , Claudia Gottstein , Andrew N. Cleland

Guided by extensive numerical simulations, we propose a microfluidic device that can sort elastic capsules by their deformability. The device consists of a duct embedded with a semi-cylindrical obstacle, and a diffuser which further…

Fluid Dynamics · Physics 2014-09-18 Lailai Zhu , Cecilia Rorai , Dhrubaditya Mitra , Luca Brandt

The measurements of size distribution of small particles (e.g. dusts, droplets, bubbles, etc.) are critical for a broad range of applications in environmental science, public health, industrial manufacturing, etc. Laser diffraction (LD), a…

Fluid Dynamics · Physics 2021-03-16 Santosh Kumar. S , Zilong He , Christopher Hogan , Steven Fredericks , Jiarong Hong

Sorting and separation of microparticles is a challenging problem of interdisciplinary nature. Existing technologies can differentiate microparticles by their bulk properties, such as size, density, electric polarizability, etc. The next…

Soft Condensed Matter · Physics 2018-09-03 Chenhui Peng , Taras Turiv , Yubing Guo , Qi-Huo Wei , Oleg D. Lavrentovich

A new approach to separation of a variety of microscopic and mesoscopic objects in dilute solution is presented. The approach takes advantage of unique properties of a specially designed separation device (sieve), which can be readily built…

Soft Condensed Matter · Physics 2009-10-30 Deniz Ertas

The dynamic mode decomposition (DMD) has become a leading tool for data-driven modeling of dynamical systems, providing a regression framework for fitting linear dynamical models to time-series measurement data. We present a simple…

Numerical Analysis · Mathematics 2017-04-11 Travis Askham , J. Nathan Kutz

Differential Dynamic Microscopy (DDM) analyzes traditional real-space microscope images to extract information on sample dynamics in a way akin to light scattering, by decomposing each image in a sequence into Fourier modes, and evaluating…

Soft Condensed Matter · Physics 2017-11-10 Fabio Giavazzi , Paolo Edera , Peter J. Lu , Roberto Cerbino

We investigate the transport and separation of overdamped particles under the action of a uniform external force in a two-dimensional periodic energy landscape. Exact results are obtained for the deterministic transport in a square lattice…

Soft Condensed Matter · Physics 2013-05-29 John Herrmann , Michael Karweit , German Drazer

We theoretically predict and experimentally demonstrate that several different particle species can be separated from each other by means of a ratchet device, consisting of periodically arranged triangular (ratchet) shaped obstacles. We…

Statistical Mechanics · Physics 2012-03-26 Lukas Bogunovic , Ralf Eichhorn , Jan Regtmeier , Dario Anselmetti , Peter Reimann

We present Latent Diffeomorphic Dynamic Mode Decomposition (LDDMD), a new data reduction approach for the analysis of non-linear systems that combines the interpretability of Dynamic Mode Decomposition (DMD) with the predictive power of…

Machine Learning · Computer Science 2025-08-04 Willem Diepeveen , Jon Schwenk , Andrea Bertozzi

The Discrete Dislocation (DD) analysis and its computional modeling have been advanced significantly over the past decade. This progress has been further magnified by the idea to couple DD with continuum mechanics analysis in association…

Materials Science · Physics 2007-05-23 H. M. Zbib , M. Hiratani , M. Shehade

We present a data-driven method for separating complex, multiscale systems into their constituent time-scale components using a recursive implementation of dynamic mode decomposition (DMD). Local linear models are built from windowed…

Systems and Control · Computer Science 2019-06-26 Daniel Dylewsky , Molei Tao , J. Nathan Kutz

Particle Flow Filters perform the measurement update by moving particles to a different location rather than modifying the particles' weight based on the likelihood. Their movement (flow) is dictated by a drift term, which continuously…

Computational Engineering, Finance, and Science · Computer Science 2025-07-04 Simone Servadio

Efficient particle sorting in microfluidic systems is vital for advancements in biomedical diagnostics and industrial applications. This study numerically investigates particle migration and passive sorting in symmetric serpentine…

Fluid Dynamics · Physics 2025-09-16 Sayan Karmakar , Anish Pal , Sourav Sarkar , Achintya Mukhopadhyay