Slow viscous motion of a sphere parallel to a plane wall—II Couette flow

Goldman, A.J.; Cox, R. G.; Brenner, Howard

doi:10.1016/0009-2509(67)80048-4

Cited by 1,099 publications

(880 citation statements)

References 9 publications

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“…The hydrodynamic force on the cell, F s , is proportional to wall shear stress and was estimated from Goldman's equation (19). The relation between F b and F s is a function of the angle between them and hence of the lever arm, l (Fig.…”

Section: Resultsmentioning

confidence: 99%

Rolling and transient tethering of leukocytes on antibodies reveal specializations of selectins

Chen

Alon

Fuhlbrigge

et al. 1997

Proc. Natl. Acad. Sci. U.S.A.

109

111

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Antibodies immobilized on the wall of a flow chamber can support leukocyte rolling in shear flow. IgM mAb to Lewis x (CD15) and sialyl Lewis x (CD15s), which are carbohydrate antigens related to selectin ligands, plus mAb to CD48 and CD59, could mediate rolling. IgM and IgG mAb to L-selectin (CD62L), lymphocyte function-associated antigen 1 (CD11a), CD43, intercellular adhesion molecule 3 (CD50), and CD45 mediated only firm adhesion. In contrast to selectins, antibodies supported rolling only within a restricted range of site densities and wall shear stresses, outside of which firm adhesion or detachment occurred. When wall shear stress was increased, rolling velocity increased rapidly for antibodies but not for selectins. The kinetics of dissociation from the substrate of transiently tethered cells also increased more rapidly as a function of shear stress for antibodies than for selectins. These comparisons emphasize a number of remarkable features of selectins, including the lack of development of firm adhesion, and suggest that specialized molecular or cellular mechanisms must be required to explain their ability to support rolling over a wide range of environmental variables.In the first step in accumulation in inflammatory sites and homing to lymphoid tissues, circulating leukocytes tether to the vessel wall and then roll in response to hydrodynamic drag forces (1, 2). During rolling, the adhesive contact zone between the cell and the vessel is rapidly translated along the vessel wall. This requires the rapid breakage and formation of adhesive bonds and that the rate of bond formation keep up with the rate of bond breakage. Only certain adhesion molecules, including selectins, some integrins, and CD44 have been found to support rolling (1,(3)(4)(5). By contrast, many adhesion molecules, including integrins but not selectins, support another class of adhesion termed ''firm adhesion,'' which often involves cell spreading and cell migration.Thus far, little is known about the characteristics that determine whether adhesion molecules support rolling adhesion or firm adhesion. It has been hypothesized that fast bond dissociation and association rates are important for rolling (6), and measurements on P-selectin are consistent with this idea (7,8). However, the interaction of CD2 with lymphocyte function-associated 3 (9, 10) and binding of an IgE antibody to its antigen (11) have similar kinetics but do not appear to support rolling. Another factor that may be important is the effect of force on bond association and dissociation kinetics (12). The effect of force has been measured on the duration of transient tethers of cells to the vessel wall, which occurs at selectin densities below the minimum required to support rolling. The rate of dissociation of P-selectin tethers is increased only modestly by hydrodynamic force (8), which would contribute to the stability of rolling adhesions.To allow comparisons to be made between molecules that are and are not physiologically specialized for rolling, we have te...

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Section: Resultsmentioning

confidence: 99%

Rolling and transient tethering of leukocytes on antibodies reveal specializations of selectins

Chen

Alon

Fuhlbrigge

et al. 1997

Proc. Natl. Acad. Sci. U.S.A.

109

111

View full text Add to dashboard Cite

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“…Independently of the ratio of radius to distance, Brenner [15] [17,18] developed asymptotic solutions for the near-wall hydrodynamic forces when a particle flows past an obstacle.…”

Section: Figurementioning

confidence: 99%

Using the DEM-CFD method to predict Brownian particle deposition in a constricted tube

Chaumeil

Crapper

2014

Particuology

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The modelling of the agglomeration and deposition on a constricted tube collector of colloidal size particles immersed in a liquid is investigated using the Discrete Element Method (DEM). The ability of this method to model surface interactions allows the modelling of particle agglomeration and deposition at the particle scale.The numerical model adopts a mechanistic approach to represent the forces involved in colloidal suspension by including near wall drag retardation, surface interaction and Brownian forces. The model is implemented using the commercially available DEM package EDEM 2.3®, so that results can be replicated in a standard and user-friendly framework. The effect of various particle-tocollector size ratios, inlet fluid flow-rates and particle concentrations are examined and it is found that deposition efficiency is strongly dependent on inter-relation of these parameters.

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“…Such a calculation assumes that the flow around the particle is unrestricted, however, and becomes unreliable for a particle near to a plane wall. Goldman et al 23 found that wall effects increased the hydrodynamic drag on a spherical particle in a laminar shear flow, and the effect could be modelled by a non-dimensional coefficient that is proportional to the distance of the particle from the wall:…”

Section: Hydrodynamic Effectsmentioning

confidence: 99%

Negative DEP traps for single cell immobilisation

2009

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We present a novel design of micron-sized particle trap that uses negative dielectrophoresis (nDEP) to trap cells in high conductivity physiological media. The design is scalable and suitable for trapping large numbers of single cells. Each trap has one electrical connection and the design can be extended to produce a large array. The trap consists of a metal ring electrode and a surrounding ground plane, which create a closed electric field cage in the centre. The operation of the device was demonstrated by trapping single latex spheres and HeLa cells against a moving fluid. The dielectrophoretic holding force was determined experimentally by measuring the displacement of a trapped particle in a moving fluid. This was then compared with theory by numerically solving the electric field for the electrodes and calculating the trapping force, demonstrating good agreement. Analysis of the 80 mm diameter trap showed that a 15.6 mm diameter latex particle could be held with a force of 23 pN at an applied voltage of 5 V peak-peak.

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Slow viscous motion of a sphere parallel to a plane wall—II Couette flow

Cited by 1,099 publications

References 9 publications

Rolling and transient tethering of leukocytes on antibodies reveal specializations of selectins

Rolling and transient tethering of leukocytes on antibodies reveal specializations of selectins

Using the DEM-CFD method to predict Brownian particle deposition in a constricted tube

Negative DEP traps for single cell immobilisation

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