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[A hydrodynamic model of a cochlea with a discrete basilar membrane].

The hydrodynamic model of a cochlea (dimensions 520 x 120 x 100 (mm)), with the basilar membrane (BM) consisting of 50 discrete resonance links in the frequency band from 1 Hz to 128 Hz was constructed. Two ways of giving harmonic and impulse's signals at the model were used; a) through the membrane of the vestibular window (directly through the filled model liquid along the BM) and b) through the thread fastened to the basal part of the BM (by the travelling wave on the BM). It was shown that in the first case the transmission's time to apical part of the BM equals 0.8 ms and in the second--several seconds. The conclusion is that the main hydrodynamic processes of sound's coding in a cochlea are the processes according to the Helmholtz's resonance theory, but not Békésy's travelling wave theory.

Basilar Membrane↗

The analysis, design, and testing of a blood lubricated hydrodynamic journal bearing.

The Cleveland Clinic Foundation's Innovative Ventricular Assist System (IVAS) uses a hydrodynamic journal bearing to support the rotating assembly of the blood pump. Bearing dimensions are chosen so that a stable film of lubricant develops and separates stationary and rotating pump surfaces during operation. This bearing type provides several advantages for a permanently implanted device, including essentially no wear for very long life and very high reliability, as well as a self pumping action that generates circumferential wash flow and thus lowers the risk of bearing associated deposition. However, these advantages are accompanied by design issues not encountered with typical journal bearing, such as low shear stress, bearing ends that are not at atmospheric pressure, and low radial bearing loads. To address these issues, several concepts for a hydrodynamic blood bearing were designed and analyzed using a special computer code to perform parametric studies. This design analysis code was developed to define optimum bearing performance under selected load and speed ranges and within practical tolerances. Results showed the range of dimensions and conditions over which an effective, reliable, blood lubricated journal bearing can be designed. Subsequent bench testing has validated the theoretical conclusions and shown this bearing type to be very robust in a blood pump application.

Biomechanical Phenomena↗

Mitral E wave propagation as an index of left ventricular diastolic function. I: Its hydrodynamic basis.

BACKGROUND AND AIMS OF THE STUDY: Left ventricular (LV) diastolic dysfunction is an early sign of myocardial disease and an important determinant of symptoms and prognosis in patients with various cardiovascular disorders. Evidence suggests the presence and clinical importance of abnormal LV diastolic function in patients with valvular heart diseases, but it is difficult to measure non-invasively. Mitral E wave propagation inside the left ventricle studied by analysis of digitized color M-mode and pulsed wave Doppler technique is a promising technique for the evaluation of LV relaxation. However, the precise mechanism of its transmission is not clearly defined. Understanding the precise hydrodynamic basis of E wave propagation would be helpful for its meaningful application to the evaluation of LV diastolic performance. This study investigates the hydrodynamic determinants of mitral E wave propagation in an in vitro setting. METHODS AND RESULTS: Thirty-one sets of experiments were conducted in a linear, pulsatile left ventricle model with varying operative diastolic characteristics. The rate of transmission of the onset of the E wave was strongly related to operative LV diastolic stiffness (r = 0.93, p < 0.0001), and weakly to mean left atrial (LA) pressure (r = 0.46, p < 0.01), heart rate (r = 0.57, p < 0.01) and stroke volume (r = -0.58, p < 0.01) through an effect on operative LV diastolic stiffness. The peak of the E wave transmission was influenced not only by operative LV diastolic stiffness (r = 0.87, p < 0.0001), but also by the mean LA pressure, heart rate and stroke volume, in an independent fashion. CONCLUSIONS: The rate of transmission of the onset of the mitral E wave is determined solely by operative LV diastolic stiffness, whereas that of the peak is also affected by the mean LA pressure, heart rate and stroke volume. Analysis of mitral E wave propagation in patients with valvular heart disease may give clinically useful insights into LV diastolic function.

Diastole↗

Juxtacanalicular tissue in pigmentary and primary open angle glaucoma. The hydrodynamic role of pigment and other constituents.

We tested the hypothesis that obstruction of the juxtacanalicular tissues, by melanin granules in pigmentary glaucoma and by other impermeable material in primary open angle glaucoma, leads to the development of a chronic glaucomatous condition. The distribution and concentration of melanin and other impermeable materials in the juxtacanalicular tissues and elsewhere in the trabecular meshwork was determined in 13 specimens. Six specimens were from patients with pigmentary glaucoma, two from patients with pigment dispersion syndrome, and three from patients with primary open angle glaucoma, as well as two from normal subjects. The effect of these materials on flow resistance was estimated using two hydrodynamic models. In model A, the electron-lucent spaces of the juxtacanalicular tissue were assumed to be open spaces, while in model B, these spaces and spaces filled with ground substance were assumed to be gel filled. In pigmentary glaucoma, 3.5% of the pigment was found in the juxtacanalicular tissue, while 96.5% was found in the corneoscleral and uveoscleral tissues. Permeabilities calculated according to model A were much higher than those expected from estimates of outflow facility in all groups, in agreement with the previous report of Ethier et al. The gel-filled spaces available for fluid flow, as determined by model B, showed no statistically demonstrable differences (pigmentary glaucoma, 32.9%; primary open angle glaucoma, 36.6%; pigment dispersion syndrome, 43.4%; normal, 44.1%). Furthermore, the amount of pigment present in the juxtacanalicular tissue was determined to have a negligible influence on permeability. Thus, the development of the chronic glaucomatous condition cannot be directly attributed to pigment accumulation in the juxtacanalicular tissue in pigmentary glaucoma.

Adult↗

Investigation of liquid-solid hydrodynamic boundary layers and oxygen requirements in hairy root cultures.

Rates of oxygen uptake, growth and alkaloid production by hairy roots in submerged culture were investigated using a recirculation reactor allowing operation at high liquid velocities for removal of hydrodynamic boundary layers. Measurements were performed at dissolved oxygen tensions of 31-450% air saturation. Critical oxygen concentrations for Atropa belladonna hairy roots were above air saturation, viz. 100-125% air saturation for oxygen uptake and 150% air saturation for growth, demonstrating that these roots cultivated in reactors with air sparging are oxygen-limited. The critical oxygen tension for oxygen uptake by Solanum aviculare hairy roots was 75% air saturation. Both the specific oxygen uptake rate and specific growth rate of A. belladonna hairy roots were dependent on the mass (g dry weight) of roots present; even in the absence of boundary layers, growth did not remain exponential over the entire culture period. Cryo-scanning electron microscopy showed that hairy roots grown submerged in liquid medium were covered with thick layers of hydrated mucilage and root hairs, representing a significant additional barrier to oxygen transfer. Roots protruding out of the liquid medium showed no evidence of mucilage accumulation. The specific oxygen demand of A. belladonna root tips was 3.3-11.5 times higher than for the remainder of the roots, the ratio increasing as the dissolved oxygen tension was reduced. Specific growth rates, biomass yields from sugar, and atropine levels were maximum at around 150% air saturation, but decreased significantly with oxygen concentrations above ca. 200%.

Atropa belladonna↗

Batch electrophoretic cells with Eyring fluids: analysis of the hydrodynamics.

Mixing and dispersion phenomena caused by the carrier fluid in an electrophoretic cell is the main subject of this study. In particular, the effects of Joule heating on temperature and velocity profiles for Eyring-model fluids (EMF) are studied. The heat transfer is sequentially coupled with momentum transfer to derive an analytical expression for both the temperature and the velocity profiles. These results are then used to show the hydrodynamic behavior of the fluid in a batch electrophoretic cell. Furthermore, the results obtained are useful to compare with the fluid behavior of other carriers of different rheology, such as Newtonian fluids, power-law fluids, and viscoelastic fluids that obey the CEF model. The results show that EMF are potentially good carriers for relatively high Joule heat generation and therefore good candidates to control mixing inside the electrophoretic cell.

Electric Impedance↗

Application of NMR, molecular simulation, and hydrodynamics to conformational analysis of trisaccharides.

The preferred conformations and conformational flexibilities of the trisaccharides alpha-D-Glcp-(1-->2)-beta-D-Glcp-(1-->3)-alpha-D-Glcp-OMe (I) and alpha-D-Glcp-(1-->3)[beta-D-Glcp-(1-->4)]-alpha-D-Glcp-OMe (II) in aqueous solution were determined using nuclear magnetic resonance (NMR) spectroscopy, molecular dynamics (MD) and Langevin dynamics (LD) simulations, and hydrodynamics calculations. Both trisaccharides have a vicinal substitution pattern in which long range (nonsequential) interactions may play an important role. LD simulation at 600 K indicated that the all-syn conformation predominated, though other conformations were apparent. NOE data and MD and LD simulations at 298 K all indicated that trisaccharide I is a single all-syn conformer in solution. Given that previous studies showed evidence of anti-conformers in beta-D-Glcp-(1-->2)-beta-D-Glcp-(1-->3)-alpha-D-Glcp-OMe, this result provides an example of how changing the anomeric configuration of one residue from beta to alpha can make an oligosaccharide more rigid. Discrepancies in inter-ring distances obtained by experiment and by simulation of the all-syn conformer suggest the presence of an anti-psi conformation at the beta-(1-->4)-linkage for II. A combined analysis of measured and calculated translational diffusion constants and (13)C T(1) relaxation times yield order parameters of 0.9 for each trisaccharide. This implies that any interconversion among conformations is significantly slower than tumbling. Anisotropies of approximately 1.6 and 1.3 calculated for I and II, respectively, are consistent with the observed relatively flat T(1) profiles because the tumbling is not in the motional narrowing regime.

Carbohydrate Conformation↗

Effects of ethylene glycol on the torsion elastic constant and hydrodynamic radius of p30delta DNA.

Upon increasing the concentration of ethylene glycol (EG) at 37 degrees C, the twist energy parameter, E(T), which governs the supercoiling free energy, was recently found to undergo a decreasing (or reverse) sigmoidal transition with a midpoint near 20 w/v % EG. In this study, the effects of adding 20 w/v % EG on the torsion elastic constant (alpha) of linear p30delta DNA and on the hydrodynamic radius (R(H)) of a synthetic 24 bp duplex DNA were examined at both 40 and 20 degrees C. The time-resolved fluorescence intensity and fluorescence polarization anisotropy (FPA) of intercalated ethidium were measured in order to assess the effects of 20 w/v % EG on: (1) alpha; (2) R(H); (3) the lifetimes of intercalated and non-intercalated dye; (4) the amplitude of dye wobble in its binding site; and (5) the binding constant for intercalation. The effects of 20 w/v % EG on the circular dichroism (CD) spectrum of the DNA and on the emission spectrum of the free dye were also measured. At 40 degrees C, addition of 20 w/v % EG caused a substantial (1.27- to 1.35-fold) increase in alpha, a significant change in the CD spectrum, and a very small, marginally significant increase in R(H), but little or no change in the amplitude of dye wobble in its binding site or the lifetime of intercalated dye. Together with previously reported measurements of E(T), these results imply that the bending elastic constant of DNA is significantly decreased by 20 w/v % EG at 40 degrees C. At 20 degrees C, addition of 20 w/v % EG caused a marginally significant decrease in alpha and very little change in any other measured properties. Also at 20 degrees C, addition of 30 w/v % betaine caused a marginally significant increase in alpha and significant but modest change in the CD spectrum, but very little change in any other properties.

Circular Dichroism↗

Hydrodynamic study of flexibility in immunoglobulin IgG1 using Brownian dynamics and the Monte Carlo simulations of a simple model.

A simple bead model is proposed for the antibody molecule immunoglobulin IgG1. The partial flexibility of the hinge is represented by a quadratic potential associated to the angles between arms. Conformational and hydrodynamic properties are calculated using Monte Carlo (rigid-body) and Brownian dynamics simulations. Comparison of experimental and calculated values for some overall properties allows the assignment of dimensions and other model parameters. The Brownian dynamics technique is used next to simulate a rotational correlation function that is comparable with the decay of fluorescence emission anisotropy. This is done with varying flexibility at the hinge. The longest relaxation time shows a threefold decrease when going from the rigid Y-shaped conformation to the completely flexible case. The calculations are in good agreement with the decay times observed for IgG1. A flexibility analysis of the latter indicates that a variability of +/- 55 degrees (standard deviation) in the angle between the Fab arms.

Immunoglobulin G↗

Kinetic analysis of the hydrodynamic transition accompanying protein folding using size exclusion chromatography. 2. Comparison of spectral and chromatographic kinetic analyses.

The kinetics of the hydrodynamic volume change associated with the unfolding and refolding of a globular protein can be observed using high performance size exclusion chromatography. Chromatographic profiles that evidence such dynamics can be simulated using equations in which chromatographic partitioning and the conformational transition are described in terms of a finite difference algorithm incorporating an apparent binding model to generate broad and asymmetric peaks. Application of these equations to the simple two-state unfolding transition of ribonuclease A in guanidine hydrochloride indicates that reliable kinetic parameters can be obtained using these equations.

Chromatography, Gel↗

Fabrication and use of a transient contractional flow device to quantify the sensitivity of mammalian and insect cells to hydrodynamic forces.

A microfluidic device was fabricated via photolithographic techniques which can create transient elongational and shear forces ranging over three orders of magnitude while still maintaining laminar flow conditions. The contractional fluid flow inside the microfluidic device was simulated with FLUENT (a computational fluid dynamics computer program) and the local deformation forces were characterized with the scalar quantity, local energy dissipation rate. The sensitivities of four cell lines (CHO, HB-24, Sf-9, and MCF7) were tested in the device. The results indicate that all four cell lines are able to withstand relatively intense energy dissipation rates (up to 10(4)-10(5) kW/m(3)), which is orders of magnitude higher than the maximum local energy dissipation rates generated by impellers in bioreactors, but comparable to that associated with small bursting bubbles. While the concept that suspended animal cells are relatively robust with respect to purely hydrodynamic forces in bioprocess equipment is well known, these results quantitatively demonstrate these observations.

Animals↗

Simulation of growth and detachment in biofilm systems under defined hydrodynamic conditions.

Detachment from biofilms was evaluated using a mixed culture biofilm grown on primary wastewater in a tube reactor. The growth of biofilms and the detachment of biomass from biofilms are strongly influenced by hydrodynamic conditions. In a long-term study, three biofilms were cultivated in a biofilm tube reactor. The conducted experiments of biofilm growth and detachment can be divided into three phases: 1) an exponential phase with a rapid increase of the biofilm thickness, 2) a quasi-steady-state with spontaneous fluctuation of the biofilm thickness between 500 and 1,200 microm in the investigated biofilm systems, and 3) a washout experiment with increased shear stress in three to four steps after several weeks of quasi-steady-state. Whereas the biofilm thickness during the homogeneous growth phase can be regarded constant throughout the reactor, it was found to be very heterogeneous during the quasi-steady-state and the washout experiments. Growth and detachment during all three phases was simulated with the same one-dimensional biofilm model. For each of the three phases, a different detachment rate model was used. During the homogeneous growth phase, detachment was modeled proportional to the biofilm growth rate. During the quasi-steady-state phase, detachment was described by random detachment events assuming a base biofilm thickness. Finally, the washout experiment was simulated with detachment being a function of the biofilm thickness before the increase of the shear stress.

Bacteria, Aerobic↗

Hydrodynamic stress and lethal events in sparged microalgae cultures.

The effect of high superficial gas velocities in continuous and batch cultures of the strains Dunaliella tertiolecta, Chlamydomonas reinhardtii wild-type and cell wall-lacking mutant was studied in bubble columns. No cell damage was found for D. tertiolecta and C. reinhardtii (wild-type) up to superficial gas velocities of 0.076 and 0.085 m s(-1), respectively, suggesting that high superficial gas velocities alone cannot be responsible for cell death and, consequently, bubble bursting cannot be the sole cause for cell injury. A death rate of 0.46 +/- 0.08 h(-1) was found for C. reinhardtii (cell wall-lacking mutant) at a superficial gas velocity of 0.076 m s(-1), and increased to 1.01 +/- 0.29 h(-1) on increasing superficial gas velocity to 0.085 m s(-1). Shear sensitivity is thus strain-dependent and to some extent the cell wall plays a role in the protection against hydrodynamic shear. When studying the effect of bubble formation at the sparger in batch cultures of D. tertiolecta by varying the number of nozzles, a death rate of 0.047 +/- 0.016 h(-1) was obtained at high gas entrance velocities. D. tertiolecta was cultivated in a pilot-plant reactor under different superficial gas velocities of up to 0.026 m s(-1), with relatively low gas entrance velocities and no cell damage was observed. There is some indication that the main parameter causing cell death and damage was the gas entrance velocity at the sparger.

Animals↗

Evaluation of a contraction flow field on hydrodynamic damage to entomopathogenic nematodes-A biological pest control agent.

Mechanized production and delivery of biological pesticides presents challenges because the biological agents must remain viable during these processes. This study evaluates the effect of flow through an abrupt contraction, where flow characteristics similar to that found within bioprocesses and spray equipment are developed, on damage to a benchmark biological pest control agent, entomopathogenic nematodes (EPNs). An opposed-pistons, contraction flow device generated volumetric flow rates ranging between 8.26 cm(3)/s and 41.3 cm(3)/s. Four EPN species were evaluated: Heterorhabditis bacteriophora, Heterorhabditis megidis, Steinernema carpocapsae, and Steinernema glaseri. Damage was quantified by counting living and dead EPNs. Optical and cold field emission scanning electron microscope (CFE-SEM) images provided qualitative information to describe how the damage occurred. The experimental flow field was completely described using FLUENT, a computational fluid dynamics program. Local flow parameters computed in FLUENT were compared to EPN damage. The type and extent of damage varied between EPN species. Damaged Heterorhabditis spp. generally remained whole with an internal rupture located near the center of the body, while Steinernema spp. most often broke into several pieces. The fast-transient stress field generated at the entrance to the contraction caused a momentary tensile loading and then relaxation that damaged the EPNs. At high flow rates, the tensile stresses became large enough to cause failure of the EPN structural membrane. The relative elasticity of the EPN structural membrane may explain the differences in damage observed between the species. It is speculated that the internal rupture of the Heterorhabditis spp. occurred during the processes of stretching and relaxing at the contraction entrance. Appreciable damage was observed at lower average energy dissipation rates for H. bacteriophora (1.23E + 8 W/m(3)), H. megidis (1.72E + 8 W/m(3)), and S. glaseri (2.89E + 8 W/m(3)) compared to S. carpocapsae (3.70E + 8 W/m(3)). Energy dissipation rates within an equipment component should be kept below 1E + 8 W/m(3) to avoid hydrodynamic damage to EPNs. The relationship between average energy dissipation and EPN damage provides important information for future simulation efforts of actual spray equipment components.

Animals↗

The influence of biomass on the hydrodynamic behavior and stability of expanded beds.

Expanded bed adsorption is an innovative chromatographic technology that allows the introduction of particle-containing feedstock without the risk of blocking the bed. Provided a perfectly classified fluidized bed (termed expanded bed) is formed in the crude feedstock and the biomass is not influencing protein transport towards the adsorbent surface, a sorption performance comparable to packed beds is found. The influence of biomass on the hydrodynamic stability of expanded beds is essential and was investigated systematically in this article. Residence-time distribution analyses were performed using model systems and a yeast suspension under various fluid-phase conditions. It is demonstrated that three factors (biomass/adsorbent interactions, biomass concentration, and flow rate) play an interdependent role disturbing the classified fluidization of an expanded bed. A clear correlation between the degree of aggregative fluidization--obtained by PDE modeling of RTD data--and the expansion behavior of the fluidized bed has been found. Thus, combining three analytical methods, namely cell transmission index analysis, expansion analysis, and RTD analysis provides a solid base for understanding and control of the fluidization behavior and thus further process design during the initial phase of process development.

Algorithms↗

In situ and online monitoring of hydrodynamic flow profiles in microfluidic channels based upon microelectrochemistry: concept, theory, and validation.

Herein, we propose a method for reconstructing any plausible macroscopic hydrodynamic flow profile occurring locally within a rectangular microfluidic channel. The method is based on experimental currents measured at single or double microband electrodes embedded in one channel wall. A perfectly adequate quasiconformal mapping of spatial coordinates introduced in our previous work [Electrochem. Commun. 2004, 6, 1123] and an exponentially expanding time grid, initially proposed [J. Electroanal. Chem. 2003, 557, 75] in conjunction with the solution of the corresponding variational problem approached by the Ritz method are used for the numerical reconstruction of flow profiles. Herein, the concept of the method is presented and developed theoretically and its validity is tested on the basis of the use of pseudoexperimental currents emulated by simulation of the diffusion-convection problem in a channel flow cell, to which a random Gaussian current noise is added. The flow profiles reconstructed by our method compare successfully with those introduced a priori into the simulations, even when these include significant distortions compared with either classical Poiseuille or electro-osmotic flows.

Journal Article↗

In situ and online monitoring of hydrodynamic flow profiles in microfluidic channels based upon microelectrochemistry: optimization of electrode locations.

Herein, we extend our previous approach concerning the reconstruction of profiles of pressure-driven hydrodynamic flow in microfluidic channels based on current measurements at band electrode(s) [see the preceding paper ChemPhysChem 2005, 6, 1581]. We address the central issue of optimization of geometrical parameters describing the electrode(s) assembly (a single band and two bands working in generator-collector mode) within the channel flow cell to enhance the speed and precision of the flow profile reconstruction method.

Journal Article↗