Forced transport of deformable containers through narrow constrictions

Kusters, Rémy; Heijden, Thijs van der; Kaoui, Badr; Harting, Jens; Storm, Cornelis

doi:10.1103/physreve.90.033006

Cited by 33 publications

(48 citation statements)

References 33 publications

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“…The challenge in answering this question is the existence of two disparate length-scales: the macroscale (or Darcy scale) and microscale (or pore scale), both of which play distinct, but yet critical roles in particle transport. At the pore scale, models have been developed to elucidate the relation between particle mechanics [13][14][15][16][17] and motion [18][19][20][21][22] for different types of particles and flow conditions. Such relations typically characterize the entry of particle with various size, shape, structure, and adhesion properties [23][24][25][26][27][28][29] in narrow constrictions such as the nozzle of micropipettes.…”

Section: Introductionmentioning

confidence: 99%

Mechanical instability and percolation of deformable particles through porous networks

et al. 2018

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The transport of micron-sized particles such as bacteria, cells, or synthetic lipid vesicles through porous spaces is a process relevant to drug delivery, separation systems, or sensors, to cite a few examples. Often, the motion of these particles depends on their ability to squeeze through small constrictions, making their capacity to deform an important factor for their permeation. However, it is still unclear how the mechanical behavior of these particles affects collective transport through porous networks. To address this issue, we present a method to reconcile the pore-scale mechanics of the particles with the Darcy scale to understand the motion of a deformable particle through a porous network. We first show that particle transport is governed by a mechanical instability occurring at the pore scale, which leads to a binary permeation response on each pore. Then, using the principles of directed bond percolation, we are able to link this microscopic behavior to the probability of permeating through a random porous network. We show that this instability, together with network uniformity, are key to understanding the nonlinear permeation of particles at a given pressure gradient. The results are then summarized by a phase diagram that predicts three distinct permeation regimes based on particle properties and the randomness of the pore network.

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Section: Introductionmentioning

confidence: 99%

Mechanical instability and percolation of deformable particles through porous networks

et al. 2018

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“…In a more recent study, Kuster et al address the question of how the constriction width, container mechanics and external forcing affect the capsule dynamics and determine whether it will get trapped into the constriction or pass through it and how fast [19].…”

Section: Introductionmentioning

confidence: 99%

Motion of an elastic capsule in a constricted microchannel

et al. 2015

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We study the motion of an elastic capsule through a microchannel characterized by a localized constriction. We consider a capsule with a stress-free spherical shape and impose its steady state configuration in an infinitely long straight channel as the initial condition for our calculations. We report how the capsule deformation, velocity, retention time, and maximum stress of the membrane are affected by the capillary number, Ca, and the constriction shape. We estimate the deformation by measuring the variation of the three-dimensional surface area and a series of alternative quantities easier to extract from experiments. These are the Taylor parameter, the perimeter and the area of the capsule in the spanwise plane. We find that the perimeter is the quantity that reproduces the behavior of the three-dimensional surface area the best. This is maximum at the centre of the constriction and shows a second peak after it, whose location depends on the Ca number. We observe that, in general, area-deformation correlated quantities grow linearly with Ca, while velocity-correlated quantities saturate for large Ca but display a steeper increase for small Ca. The velocity of the capsule divided by the velocity of the flow displays, surprisingly, two different qualitative behaviors for small and large capillary numbers. Finally, we report that longer constrictions and spanwise wall bounded (versus spanwise periodic) domains cause larger deformations and velocities. If the deformation and velocity in the spanwise wall bounded domains are rescaled by the initial equilibrium deformation and velocity, their behavior is undistinguishable from that in a periodic domain. In contrast, a remarkably different behavior is reported in sinusoidally shaped and smoothed rectangular constrictions indicating that the capsule dynamics is particularly sensitive to abrupt changes in the cross section. In a smoothed rectangular constriction larger deformations and velocities occur over a larger distance.

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“…For example, with perturbation of the actin cytoskeleton in OVCAR3 cells by cytochalasin D treatment, we find the cellto-pore size ratio changes by 1.1 ± 0.3 %, while the retention decreases from 61 ± 3 % to 32 ± 4 % (p = 6.4 x 10 -5 ). When a positive correlation between cell size and retention is observed, a complementary, secondary mechanotype assay should be performed to dissect contributions of cell size and deformability to retention results 17,18,19,20,21 .…”

Section: Anticipated Resultsmentioning

confidence: 99%

A protocol for screening cells based on deformability using parallel microfiltration

Gill¹,

Qi²,

Kim³

et al. 2017

Protocol Exchange

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Cell mechanical phenotype, or 'mechanotype', is emerging as a valuable biomarker for the physiological or diseased state of cells. Established techniques such as micropipette aspiration and atomic force microscopy provide quantitative insights into the viscoelastic properties of cells. However, to acquire data across a larger number of samples within a reasonable timescale requires higher throughput measurements. The recent development of fluidic-based mechanotyping methods enable data acquisition at rates of up to 2000 cells/second 1,2 , but require image-based analysis that hinders simultaneous measurements across an array of cell samples. Here we present a protocol for measuring the ability of cells to filter through micron-scale pores using a simple and scalable technique called parallel microfiltration (PMF). Cell filtration depends on the ability of cells to deform through micron-scale pores, and can thus provide a measure of cell deformability. The PMF method can be used for screening of multiple cell samples in parallel based on cell filtration. The entire protocol, from preparation of cell suspensions to readout of filtration, can be completed within an hour. Here we demonstrate the applicability of PMF to measure human promyelocytic leukemia (HL-60) cells, as well as human ovarian (OVCAR3 and OVCAR5) and breast cancer (MDA-MB-231) cells. The method can easily be adapted for use with other mammalian cell types.

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Forced transport of deformable containers through narrow constrictions

Cited by 33 publications

References 33 publications

Mechanical instability and percolation of deformable particles through porous networks

Mechanical instability and percolation of deformable particles through porous networks

Motion of an elastic capsule in a constricted microchannel

A protocol for screening cells based on deformability using parallel microfiltration

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