Rational design protocols for size-based particle sorting microdevices using symmetry-induced cyclical dynamics

Arnaldo Rodriguez-Gonzalez, Jason P. Gleghorn, and Brian J. Kirby
Phys. Rev. E 101, 032125 – Published 18 March 2020

Abstract

In this paper, we describe the unification and extension of multiple kinematic theories on the advection of colloidal particles through periodic obstacle lattices of arbitrary geometry and infinitesimally small obstacle size. We focus specifically on the particle displacement lateral to the flow direction (termed “deterministic lateral displacement”) and the particle-obstacle interaction frequency, and develop methods for describing these as a function of particle size and lattice parameters for arbitrary lattice geometries. We then demonstrate design algorithms for microfluidic devices consisting of chained obstacle lattices of this type that approximate any lateral displacement function of size to arbitrary accuracy with respect to multiple optimization metrics, prove their validity mathematically, and compare the generated results favorably to designs in the literature with respect to metrics such as accuracy, device size, and complexity.

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  • Received 1 November 2019
  • Revised 12 February 2020
  • Accepted 14 February 2020

DOI:https://doi.org/10.1103/PhysRevE.101.032125

©2020 American Physical Society

Physics Subject Headings (PhySH)

Fluid DynamicsNonlinear Dynamics

Authors & Affiliations

Arnaldo Rodriguez-Gonzalez*

  • Field of Theoretical and Applied Mechanics, Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA

Jason P. Gleghorn

  • Department of Biomedical Engineering, University of Delaware, Newark, Delaware 19716, USA

Brian J. Kirby

  • Sibley School of Mechanical and Aerospace Engineering, Cornell University, Ithaca, New York 14853, USA and Department of Medicine, Division of Hematology and Medical Oncology, Weill-Cornell Medicine, New York, New York 10065, USA

  • *ajr295@cornell.edu
  • bk88@cornell.edu

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Issue

Vol. 101, Iss. 3 — March 2020

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