Experiments and analyses of upstream-advancing solitary waves generated by moving disturbances

In this joint theoretical, numerical and experimental study, we investigate the phenomenon of forced generation of nonlinear waves by disturbances moving steadily with a transcritical velocity through a layer of shallow water. The plane motion considered here is modelled by the generalized Boussinesq equations and the forced Korteweg-de Vries (fKdV) equation, both of which admit two types of forcing agencies in the form of an external surface pressure and a bottom topography. Numerical results are obtained using both theoretical models for the two types of forcings. These results illustrate that within a transcritical speed range, a succession of solitary waves are generated, periodically and indefinitely, to form a procession advancing upstream of the disturbance, while a train of weakly nonlinear and weakly dispersive waves develops downstream of an ever elongating stretch of a uniformly depressed water surface immediately behind the disturbance. This is a beautiful example showing that the response of a dynamic system to steady forcing need not asymptotically tend to a steady state, but can be conspicuously periodic, after an impulsive start, when the system is being forced at resonance. A series of laboratory experiments was conducted with a cambered bottom topography impulsively started from rest to a constant transcritical velocity U, the corresponding depth Froude number F = U/(gh[sub]0)^1/2 (g being the gravitational constant and h[sub]0 the original uniform water depth) being nearly the critical value of unity. For the two types of forcing, the generalized Boussinesq model indicates that the surface pressure can be more effective in generating the precursor solitary waves than the submerged topography of the same normalized spatial distribution. However, according to the fKdV model, these two types of forcing are entirely equivalent. Besides these and some other rather refined differences, a broad agreement is found between theory and experiment, both in respect of the amplitudes and phases of the waves generated, when the speed is nearly critical (0.9 F > 0.2, finally disappear at F ~= 0.2. In the other direction, as the Froude number is increased beyond F ~= 1.2, the precursor soliton phenomenon was found also to evanesce as no finite-amplitude solitary waves can outrun, nor can any two-dimensional waves continue to follow, the rapidly moving disturbance. In this supercritical range and for asymptotically large times, all the effects remain only local to the disturbance. Thus, the criterion of the fascinating phenomenon of the generation of precursor solitons is ascertained

Dissolved oxygen and pH monitoring within cell culture media using a hydrogel microarray sensor

Prolonged exposure of humans and experimental animals to microgravity is known to be associated with a variety of physiological and cellular disturbances. With advancements in aerospace technology and prolonged space flights, both organism and cellular level understanding of the effects of microgravity on cells will become increasingly important in order to ensure the safety of prolonged space travel. To understand these effects at the cellular level, on-line sensor technology for the measurement and control of cell culture processes is required. To do this measurement, multiple sensors must be implemented to monitor various parameters of the cell culture medium. The model analytes used in this study were pH and dissolved oxygen which have physiological importance in a bioreactor environment. In most bioprocesses, pH and dissolved oxygen need to be monitored and controlled to maintain ionic strength and avoid hypoxia or hyperoxia. Current techniques used to monitor the value of these parameters within cell culture media are invasive and cannot be used to make on-line measurements in a closed-loop system. In this research, a microfabricated hydrogel microarray sensor was developed to monitor each anlyte. Either a pH or an oxygen sensitive fluorescent agent was immobilized into a hydrogel structure via a soft lithography technique and the intensity image of the sensor varied from the target analyte concentration. A compact detection system was developed to quantify concentration of each analyte based on the fluorescence image of the sensor. The system included a blue LED as an illumination source, coupling optics, interference filters and a compact moisture resistant CCD camera. Various tests were performed for the sensor (sensitivity, reversibility, and temporal/spatial uniformity) and the detection system (temporal/spatial stability for the light source and the detector). The detection system and the sensor were tested with a buffer solution and cell culture media off-line. The standard error of prediction for oxygen and pH detection was 0.7% and 0.1, respectively, and comparable to that of commercial probes, well within the range necessary for cell culture monitoring. Lastly, the system was coupled to a bioreactor and tested over 2 weeks. The sensitivity and stability of the system was affordable to monitor pH and dissolved oxygen and shows potential to be used for monitoring those analytes in cell culture media noninvasively

Nonlinear analysis of smart composite plate and shell structures

Theoretical formulations, analytical solutions, and finite element solutions for laminated composite plate and shell structures with smart material laminae are presented in the study. A unified third-order shear deformation theory is formulated and used to study vibration/deflection suppression characteristics of plate and shell structures. The von K??rm??n type geometric nonlinearity is included in the formulation. Third-order shear deformation theory based on Donnell and Sanders nonlinear shell theories is chosen for the shell formulation. The smart material used in this study to achieve damping of transverse deflection is the Terfenol-D magnetostrictive material. A negative velocity feedback control is used to control the structural system with the constant control gain. The Navier solutions of laminated composite plates and shells of rectangular planeform are obtained for the simply supported boundary conditions using the linear theories. Displacement finite element models that account for the geometric nonlinearity and dynamic response are developed. The conforming element which has eight degrees of freedom per node is used to develop the finite element model. Newmark's time integration scheme is used to reduce the ordinary differential equations in time to algebraic equations. Newton-Raphson iteration scheme is used to solve the resulting nonlinear finite element equations. A number of parametric studies are carried out to understand the damping characteristics of laminated composites with embedded smart material layers

Acquisition performance of Gold sequence-based DS-CDMA systems

The performance of sequence acquisition for Gold sequence based DS-CDMA systems is studied in this paper. We consider the use of a sliding correlator-type structure for the acquisition scheme. Since acquisition of a IN sequence in DS-CDMA systems can be formulated as testing two simple hypotheses, we apply fixed sample size (FSS) for the synchronization test. The acquisition schemes require the knowledge of the partial correlation of Gold sequences, which is diffcult to model. We propose the use of an approximate upper bound and then further linearize it for ease of designing the test scheme. The acquisition performance of Gold sequeince based DS-CDMA systems is analyzed and is compared to that of m-sequence based ones. Numerical results indicate that the use of Gold sequences is very suitable for DS-CDMA systems. In addition, analytical results are verified by computer simulation

Change in gene expression of mouse embryonic stem cells derived from parthenogenetic activation

BACKGROUND We previously established parthenogenetic mouse embryonic stem cells (ESCs) and this study was subsequently conducted for elucidating the influence of oocyte parthenogenesis on gene expression profile of ESCs. METHODS Gene expression of parthenogenetic ESC (pESC)-1 or pESC-2 was separately compared with that of two normally fertilized ESC (nfESC) lines (B6D2F1 and R1 strains), and quantification of mRNA expression was conducted for validating microarray data. RESULTS In two sets of comparison, reaction of 11 347 and 15 454 gene probes were altered by parthenogenesis, while strain difference changed the expression of 15 750 and 14 944 probes. Level of correlation coefficient was higher in the comparisons between normal fertilization and parthenogenesis (0.974-0.985) than in the comparisons between strains of nfESCs (0.97-0.971). Overall, the expression of 3276-3329 genes was changed after parthenogenesis, and 88% (96/109) of major functional genes differentially (P < 0.01) expressed in one comparison set showed the same change in the other. When we monitored imprinted genes, expression of nine paternal and eight maternal genes were altered after parthenogenesis and 88% (14/16) of these was confirmed by mRNA quantification. CONCLUSIONS The change in gene expression after parthenogenesis was similar to, or less than, the change induced by a strain difference under a certain genetic background. These results may suggest the clinical feasibility of parthenogenesis-derived, pluripotent cell

Initial Experiences with Proton MR Spectroscopy in Treatment Monitoring of Mitochondrial Encephalopathy

PURPOSE: Mitochondrial encephalopathy (ME) is a rare disorder of energy metabolism. The disease course can roughly be evaluated by clinical findings. The purpose of this study was to evaluate metabolic spectral changes using proton MR spectroscopy (MRS), and to establish a way to monitor ME by neuroimaging. MATERIALS AND METHODS: Proton MRS data were retrospectively reviewed in 12 patients with muscle biopsy-confirmed ME (M : F = 7 : 5, Mean age = 4.8 years). All received 1H-MRS initially and also after a ketogenic diet and mitochondrial disease treatment cocktail (follow up average was 10.2 months). Changes of N-acetylaspartate/ creatine (NAA/Cr) ratio, choline/creatine (Cho/Cr) ratio, and lactate peak in basal ganglia at 1.2 ppm were evaluated before and after treatment. Findings on conventional T2 weighted MR images were also evaluated. RESULTS: On conventional MRI, increased basal ganglia T2 signal intensity was the most common finding with ME (n = 9, 75%), followed by diffuse cerebral atrophy (n = 8, 67%), T2 hyperintense lesions at pons and midbrain (n = 4, 33%), and brain atrophy (n = 2, 17%). Lactate peak was found in 4 patients; 2 had disappearance of the peak on follow up MRS. Quantitative analysis showed relative decrease of Cho/Cr ratio on follow up MRS (p = 0.0058, paired t-test, two-tailed). There was no significant change in NAA/Cr ratio. CONCLUSION: MRS is a useful tool for monitoring disease progression or improvement in ME, and decrease or disappearance of lactate peak and reduction of Cho/Cr fraction were correlated well with improvement of clinical symptoms.ope

Silent Microbleeds and Hemorrhagic Conversion of an Embolic Infarction

We report a patient with multiple simultaneous embolic infarctions with localized hemorrhagic conversion. A 75-year-old male patient had several silent microbleeds (SMBs) exclusively in the cerebral cortex, and underwent angioplasty and stenting for bilateral carotid stenosis. He subsequently experienced embolic infarctions in the cortex and the striatum: the cortical infarction, where an SMB had been present, showed hemorrhagic conversion, whereas the striatal infarction did not. This case suggests that SMBs are indicators of an underlying hemorrhage-prone state