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At least 703 records · Page 39Linked to original sources
PubMed1979

Flagellar hydrodynamics. A comparison between resistive-force theory and slender-body theory.

This paper investigates the accuracy of the resistive-force theory (Gray and Hancock method) which is commonly used for hydrodynamic analysis of swimming flagella. We made a comparison between the forces, bending moments, and shear moments calculated by resistive-force theory and by the more accurate slender-body theory for large-amplitude, planar wave forms computed for a flagellar model. By making an upward empirical adjustment, by about 35%, of the classical drag coefficient values used in the resistive-force theory calculations, we obtained good agreement between the distributions of the forces and moments along the length of the flagellum predicted by the two methods when the flagellum has no cell body attached. After this adjustment, we found the rate of energy expenditure calculated by the two methods for the few typical test cases to be almost identical. The resistive-force theory is thus completely satisfactory for use in analysis of mechanisms for the control of flagellar bending, at the current level of sophistication of this analysis. We also examined the effects of the presence of a cell body attached to one end of the flagellum, which modifies the flow field experienced by the flagellum. This interaction, which is not considered in resistive-force theory, is probably insignificant for small cell bodies, such as the heads of simple spermatozoa, but for larger cell bodies, or cell bodies that have large-amplitude motions transverse to the swimming direction, use of slender-body theory is required for accurate analysis.

Flagella↗
PubMed1980

Hydrodynamic and diffusion considerations of rapid-mix experiments with red blood cells.

From studies of the oxygenation rate of red blood cells (RBC) using rapid-mix techniques, it has been suggested that RBC are surrounded by a stagnant layer of water that does not (or cannot) mix with the rest of the water. A consideration of the appropriate hydrodynamics and convective diffusion rates shows that a mixer can reduce the resolution time to approximately 1 ms (or possibly less) and give a diffusion layer around the TBC that is approximately 1 micron thick. In stopped flow equipment it expands to approximately 4 micron over approximately 10 ms, whereas in continuous flow work the diffusion layers expands slightly less rapidly and less far. Thus the rate of oxygenation of TBC should be slower when measured by stopped flow techniques than by continuous flow apparatus for which the rate will depend weakly on the Reynolds number of the flow in the interrogation tube.

Erythrocytes↗
PubMed1981

A hydrodynamic theory of bilayer membrane formation.

A simple formula for the expansion rate U of the bilayer membrane perimeter was derived by the solution of the hydrodynamic and the Laplace equations at small rates and small contact angles: U = theta delta/6 micron ln (h/e 3/2 h0), where theta is the equilibrium contact angle between the bilayer membrane and the Plateau-Gibbs border, delta the excess membrane tension, micron the bulk viscosity, h the thickness of the thick liquid film, and h0 the thickness of the liquid core in the membrane. This formula coincides with the available experimental data, and explains the observed independence of the expansion rate on the membrane radius. The significance of the theory for the full description of the cell adhesion kinetics as well as the possible ways for its generalization are discussed.

Animals↗
PubMed1986

Interaction forces between red cells agglutinated by antibody. II. Measurement of hydrodynamic force of breakup.

The expressions derived in the previous paper for the respective normal, F3, and shear forces, Fshear, acting along and perpendicular to the axis of a doublet of rigid spheres, were used to determine the hydrodynamic forces required to separate two red cell spheres of antigenic type B crosslinked by the corresponding antibody. Cells were sphered and swollen in isotonic buffered glycerol containing 8 X 10(-5) M sodium dodecyl sulfate, fixed in 0.085% glutaraldehyde, and suspended in aqueous glycerol (viscosity: 15-34 mPa s), containing 0.15 M NaCl and anti-B antibody from human hyperimmune antiserum at concentrations from 0.73 to 3.56 vol%. After incubating and mixing for 12 h, doublets were observed through a microscope flowing in a 178-micron tube by gravity feed between two reservoirs. Using a traveling microtube apparatus, the doublets were tracked in a constantly accelerating flow and the translational and rotational motions were recorded on videotape until breakup occurred. From a frame by frame replay of the tape, the radial position, velocity and orientation of the doublet were obtained and the normal and shear forces of separation at breakup computed. Both forces increased significantly with increasing antiserum concentration, the mean values of F3 increasing from 0.060 to 0.197 nN, and Fshear from 0.023 to 0.072 nN. There was no significant effect of glycerol viscosity on the forces of separation. It was not possible to determine whether the shear or normal force was responsible for doublet separation. Measurements of the mean dimensionless period of rotation, TG, of doublets in suspensions containing 0.73 and 2.40% antiserum undergoing steady flow were also made to test whether the spheres were rigidly linked or capable of some independent rotation. A fairly narrow distribution in TG about the value 15.64, predicted for rigidly-linked doublets, was obtained at both antiserum concentrations.

Antibodies↗
PubMed1994

Effects of different cations on the hydrodynamic radius of DNA.

The effects of different cations on the hydrodynamic radius (RH) of a 48-bp synthetic DNA are measured by time-resolved fluorescence polarization anisotropy of intercalated ethidium. Relative statistical errors in RH are only approximately 1%. With increasing cation concentration, Na+ causes a small decrease in RH, Cs+ causes a somewhat larger decrease by up to 0.5 A at 100 mM, and (CH3CH2)4N+ causes an increase in RH by approximately 0.5 A at 100 mM. The qualitatively different effects of these monovalent cations indicates that the changes in RH with cation concentration do not arise primarily from electrolyte friction. Divalent cations cause much larger increases in RH with increasing cation concentration. Mg2+ causes an increase in RH by up to 1.0 A at 24.4 mM, and Mn2+ causes an increase in RH by up to 1.6 A at 24.4 mM. These effects are independent of DNA concentration. There is some positive correlation between the order of effects of the different cations on RH and the order of their effects on interhelical hydration forces. It is suggested that these different ions affect RH either by altering the hydration layer or possibly by some effect on DNA structure, such as stabilizing bends.

Base Sequence↗
PubMed1996

Hydrodynamic examination of the dimeric cytoplasmic domain of the human erythrocyte anion transporter, band 3.

Solution studies of the cytoplasmic domain (molecular mass approximately 40kDa) of band 3, the anion exchanger from human erythrocyte membranes, previously suggested a dimeric molecule on the basis of the relative techniques of calibrated gel filtration and calibrated preparative ultracentrifugation. This dimeric behavior is firmly established on an absolute basis by a combination of calibrated gel chromatography and absolute ultracentrifugation techniques. Sedimentation velocity in the analytical ultracentrifuge combined with calibrated gel chromatography give a molecular mass M of (77 +/- 4) kDa, a value confirmed by low-speed sedimentation equilibrium. Velocity sedimentation in the analytical ultracentrifuge gave a single sedimenting species with an s o 20,w of (3.74 +/- 0.07)S. Sedimentation equilibrium analysis was also used to establish the strength of the binding via the dissociation constant Kd, with a value from direct fitting of the concentration distribution curves of (2.8 +/- 0.5) microM, confirmed by a value of approximately 3 microM obtained from fitting a plot of molecular weight Mw,app versus cell loading concentration. Hydrodynamic calculations based on the classical translational frictional ratio showed that the protein was highly asymmetric, with an axial ratio of approximately 10:1, consistent with observations from electron microscopy.

Anion Exchange Protein 1, Erythrocyte↗
PubMed1997

Modeling the reversible kinetics of neutrophil aggregation under hydrodynamic shear.

Neutrophil emigration into inflamed tissue is mediated by beta 2-integrin and L-selectin adhesion receptors. Homotypic neutrophil aggregation is also dependent on these molecules, and it provides a model system in which to study adhesion dynamics. In the current study we formulated a mathematical model for cellular aggregation in a linear shear field based on Smoluchowski's two-body collision theory. Neutrophil suspensions activated with chemotactic stimulus and sheared in a cone-plate viscometer rapidly aggregate. Over a range of shear rates (400-800 s-1), approximately 90% of the single cells were recruited into aggregates ranging from doublets to groupings larger than sextuplets. The adhesion efficiency fit to these kinetics reached maximum levels of > 70%. Formed aggregates remained intact and resistant to shear up to 120 s, at which time they spontaneously dissociated back to singlets. The rate of cell disaggregation was linearly proportional to the applied shear rate, and it was approximately 60% lower for doublets as compared to larger aggregates. By accounting for the time-dependent changes in adhesion efficiency, disaggregation rate, and the effects of aggregate geometry, we succeeded in predicting the reversible kinetics of aggregation over a wide range of shear rates and cell concentrations. The combination of viscometry with flow cytometry and mathematical analysis as presented here represents a novel approach to differentiating between the effects of hydrodynamics and the intrinsic biological processes that control cell adhesion.

Cell Adhesion↗
PubMed1999

Hydrodynamics of micropipette aspiration.

The dynamics of human neutrophils during micropipette aspiration are frequently analyzed by approximating these cells as simple slippery droplets of viscous fluid. Here, we present computations that reveal the detailed predictions of the simplest and most idealized case of such a scheme; namely, the case where the fluid of the droplet is homogeneous and Newtonian, and the surface tension of the droplet is constant. We have investigated the behavior of this model as a function of surface tension, droplet radius, viscosity, aspiration pressure, and pipette radius. In addition, we have tabulated a dimensionless factor, M, which can be utilized to calculate the apparent viscosity of the slippery droplet. Computations were carried out using a low Reynolds number hydrodynamics transport code based on the finite-element method. Although idealized and simplistic, we find that the slippery droplet model predicts many observed features of neutrophil aspiration. However, there are certain features that are not observed in neutrophils. In particular, the model predicts dilation of the membrane past the point of being continuous, as well as a reentrant jet at high aspiration pressures.

Biophysical Phenomena↗
PubMed2001

Flow-through sampling for electrophoresis-based microfluidic chips using hydrodynamic pumping.

This work presents a novel electrophoretic microchip design which is capable of directly coupling with flow-through analyzers for uninterrupted sampling. In this device, a 3 mm wide sampling channel (SC) was etched on quartz substrate to create the sample inlet and outlet and the 75 microm wide electrophoretic channels were also fabricated on the same substrate. Pressure was used to drive the sample flow through the external tube into the SC and the flow was then split into outlet and electrophoretic channels. A gating voltage was applied to the electrophoretic channel to control the sample loading for subsequent separations and inhibit the sample leakage. The minimum gating voltage required to inhibit the sample leakage depended on the solution buffer and increased with the hydrodynamic flow-rate. A fluorescent dye mixture containing Rhodamine B and Cy3 was introduced into the sample stream at either a continuous or discrete mode via an on-line injection valve and then separated and detected on the microchip using laser-induced fluorescence. For both modes, the relative standard deviation of migration time and peak intensity for consecutive injections was determined to be below 0.6 and 8%, respectively. Because the SC was kept floating, the external sampling equipment requires no electric connection. Therefore, such an electrophoresis-based microchip can be directly coupled with any pressure-driven flow analyzers without hardware modifications. To our best knowledge, this is something currently impossible for reported electrophoretic microchip designs.

Electrophoresis↗
PubMed1991

Cross-axis synchronous flow-through coil planet centrifuge (type XLL). II. Speculation on the hydrodynamic mechanism in stationary phase retention.

The hydrodynamic mechanism involved in the retention of stationary phase in the present x-axis coil planet centrifuge system is discussed. A statistical treatment of the retention data disclosed important clues such as the effect of the inward-outward elution mode, the close correlation between the planetary motion and the head-tail elution mode, and the superior retention capacity of the left-handed coils. The combined effects of the radial and lateral centrifugal force field derived from the mathematical analysis of acceleration acting on the coil provide an explanation for the phenomena.

Centrifugation↗
PubMed2003

Chromatographic performance of monolithic and particulate stationary phases. Hydrodynamics and adsorption capacity.

Monolithic chromatographic support structures offer, as compared to the conventional particulate materials, a unique combination of high bed permeability, optimized solute transport to and from the active surface sites and a high loading capacity by the introduction of hierarchical order in the interconnected pore network and the possibility to independently manipulate the contributing sets of pores. While basic principles governing flow resistance, axial dispersion and adsorption capacity are remaining identical, and a similarity to particulate systems can be well recognized on that basis, a direct comparison of sphere geometry with monolithic structures is less obvious due, not least, to the complex shape of theskeleton domain. We present here a simple, widely applicable, phenomenological approach for treating single-phase incompressible flow through structures having a continuous, rigid solid phase. It relies on the determination of equivalent particle (sphere) dimensions which characterize the corresponding behaviour in a particulate, i.e. discontinuous bed. Equivalence is then obtained by dimensionless scaling of macroscopic fluid dynamical behaviour, hydraulic permeability and hydrodynamic dispersion in both types of materials, without needing a direct geometrical translation of their constituent units. Differences in adsorption capacity between particulate and monolithic stationary phases show that the silica-based monoliths with a bimodal pore size distribution provide, due to the high total porosity of the material of more than 90%, comparable maximum loading capacities with respect to random-close packings of completely porous spheres.

Adsorption↗
PubMed1997

Electroosmotic flow suppressing additives for capillary zone electrophoresis in a hydrodynamically closed separation system.

Electroosmotic flow in a hydrodynamically closed capillary zone electrophoresis (CZE) separation compartment must be minimized to achieve high efficiency CZE separations. A group of eight potential electroosmotic flow suppressors was investigated in this context for the separations in fluorinated ethylene-propylene capillary tubes. The suppressors included water soluble methylhydroxyethyl derivatives of cellulose, polyvinylalcohol, polyvinylpyrrolidones and polyethyleneglycols of different molecular masses and Triton X-100. Methylhydroxyethylcellulose derivatives and polyvinylalcohol were found to provide the highest separation efficiencies for a group of model anions when the electroosmotic flow suppressors were used as the carrier electrolyte additives. Using a methylhydroxyethylcellulose coated separation compartment very significant improvements in the separation efficiencies were achieved for polyvinylpyrrolidones and polyethyleneglycols applied in the carrier electrolyte solutions. For example, polyvinylpyrrolidone K 90 applied in this way gave for some of the model analytes the plate height values approaching those estimated in the calculations as theoretical limits for our experimental conditions (H approximately 3.5 microns). CZE experiments with albumin and gamma-globulin showed that the use of methylhydroxyethylcellulose derivative in the carrier electrolyte solution at pH = 9.2 was effective in eliminating potential disturbances in the separation efficiencies of the analytes due to adsorption of the proteins.

Anions↗
PubMed1999

The effect of sizing on the in vitro hydrodynamic characteristics and leaflet motion of the Toronto SPV stentless valve.

OBJECTIVES: We established an in vitro model to investigate the effects of valve sizing on the hemodynamic characteristics and leaflet motion of the Toronto SPV valve (St Jude Medical, Inc, St Paul, Minn). METHODS: Nine valves were first implanted in fresh porcine aortic roots and then retested in glutaraldehyde-treated porcine aortic roots. Three valves were 1- to 2-mm oversized, 3 were 1- to 2-mm undersized, and there were 3 size-for-size implantations. The elasticities of the aortic roots and the composite roots were measured in the pressure range between 0 and 120 mm Hg, and the composite roots were then tested in a pulsatile flow simulator. The transvalvular gradient and regurgitation were measured and the effective orifice area and performance index were calculated for each root. Leaflet motion was recorded on videotape. RESULTS: The external diameter of the fresh root increased by 35% as the hydrostatic pressure rose from 0 to 120 mm Hg, as compared with 11% for the glutaraldehyde-treated root. Valve implantation in the fresh root reduced the distensibility to 22% but did not change distensibility in the glutaraldehyde-treated root. The effective orifice area was dependent on the valve size, with the transvalvular gradient decreasing as the valve size increased. For the same size of valve the hydrodynamic parameters were slightly better if the valve was undersized by 1 mm. A significant difference in favor of the undersized valves was found in open-leaflet bending deformation. CONCLUSION: Leaflet motion of the stentless porcine aortic valve in vitro is improved if the valve is slightly undersized, and this may be beneficial to the long-term durability of the prosthesis.

Animals↗
PubMed1985

Hydrodynamics of the normal multicalyceal pyeloureter in pigs: the pelvic pressure response to increasing flow rates, its normal ranges and intraindividual variations.

In 39 normal pig pyeloureters, pelvic pressure was measured at the following perfusion rates: 0, 2, 4, 6, 8, 10 and 20 ml./min. The mean pelvic pressure increased from 7.09 to 21.53 cm. H2O. This increase showed 4 different phases. The first was a low pressure phase between 0 to 2 ml./min. where transport took place by peristalsis. The second was a high pressure phase between 2 and 4 ml./min. where the peristalsis opposed the passive interperistaltic filling of ureter. In the third phase, between 4 and 6 ml./min., a decreasing pressure increment was seen, probably caused by leakage through the contraction ring. In the fourth phase, between 6 and 20 ml./min., the pressure was proportional to the flow rate and ureter functioned hydrodynamically as a tube. The measurements were performed bilaterally in 19 animals. Fourteen animals showed a difference either in baseline pressure or in mean perfusion pressure between the 2 sides; in effect, no coherence in pressure exists between the pyeloureters in the individual pig. Ninety-five per cent confidence limits of the pelvic pressure were calculated at the different flow rates. The limits of the baseline pressure were 1.43 and 12.75 cm. H2O, respectively. During perfusion the upper limit of normal pressures increased markedly in the flow range 0 to 4 ml./min. being 25.46 cm. H2O at 4 ml./min. A further increase in flow rate caused only a modest increase in the upper limit. It is concluded that a comprehensive study of the pressure flow relationship provides new information concerning fluid transport in the upper urinary tract.

Anesthesia, General↗
PubMed1979

The hydrodynamics of pyelorenal reflux.

Our study was done to determine the hydrodynamics of pyelorenal reflux. It is considered important in the pathophysiology of chronic pyelonephritis. An animal model of pyelorenal reflux was studied. The model seems to approximate closely the findings in man, both in the pressure required and the types of pyelorenal reflux observed.

Animals↗
PubMed2002

Modelling of hydrodynamics and cohesive sediment transport in Tanshui River estuarine system, Taiwan.

A laterally averaged two-dimensional numerical model is used to simulate hydrodynamics and cohesive sediment transport in the Tanshui River estuarine system. The model handles tributaries as well as the main stem of the estuarine system. Observed time series of salinity data and tidally averaged salinity distributions have been compared with model results to calibrate the turbulent diffusion coefficients. The overall model verification is achieved with comparisons of residual currents and salinity distribution. The model reproduces the prototype water surface elevation, currents and salinity distributions. Comparisons of the suspended cohesive sediment concentrations calculated by the numerical model and the field data at various stations show good agreement. The validated model is applied to investigate the tidally averaged salinity distributions, residual circulation and suspended sediment concentration under low flow conditions in the Tanshui River estuarine system. The model results show that the limit of salt intrusion in the mainstem estuary is located at Hsin-Hai bridge in Tahan Stream, 26 km from the River mouth under Q75 flow. The null point is located at the head of salt intrusion, using 1 ppt isohaline as an indicator. The tidally averaged sediment concentration distribution exhibits a local maximum around the null point.

Calibration↗
PubMed2001

Hydrodynamical effects on spatial distribution of enteric bacteria in the Jordan River-Lake Kinneret contact zone.

The aim of this study was to determine under what hydrodynamic conditions the change in the number of enteric bacteria in the water of the River Jordan--Lake Kinneret contact zone was due to sedimentation and under what conditions the change was due to dilution. The data were then utilized to build a conceptual model explaining the distribution of biological pollutants (bacteria) in the river-lake contact zone of a shallow tropical lake. The study uses, as an example, the microbial communities of the River Jordan--Lake Kinneret contact zone. The changes in numbers of three groups of bacteria (fecal coliforms, Escherichia coli and Klebsiella pneumoniae) along the jet flow agree well with changes in the concentration of suspended particulate matter, caused by the sedimentation of particles.

Animals↗
PubMed2001

Hydrodynamic drag on non-spherical floc and free-settling test.

This work numerically investigates the hydrodynamic drag force exerted on a porous spheroid floc moving steadily through a quiescent Newtonian fluid over a wide range of the Reynolds number. The flow patterns for a highly porous spheroid moving at an elevated Reynolds number are basically the same as those at a low Reynolds number, which extends the applicable range of a creeping-flow based correlation to the higher Reynolds number regime. The shape effect becomes more prominent as the spheroid becomes more porous. Using the equivalent diameter, defined as the geometric mean diameter of the principal axes, leads to a universal correlation relating to the drag force, aspect ratio, and interior permeability. In addition, free-settling experiments are performed to estimate how the non-spherical shape affects the three sludge samples. The possible errors in data reduction for the free-settling test are attributed to the a/b ratio and the internal permeability. The errors range from 16-34% for a/b = 0.6-2.0.

Flocculation↗