Stability of two-dimensional potential flows using bicomplex numbers.

The use of the complex velocity potential and the complex velocity is widely disseminated in the study of two-dimensional incompressible potential flows. The advantages of working with complex analytical functions made this representation of the flow ubiquitous in the field of theoretical aerodynamics. However, this representation is not usually employed in linear stability studies, where the representation of the velocity as real vectors is preferred by most authors, in order to allow the representation of the perturbation as the complex exponential function. Some of the classical attempts to use the complex velocity potential in stability studies suffer from formal errors. In this work, we present a framework that reconciles these two complex representations using bicomplex numbers. This framework is applied to the stability of the von Kármán vortex street and a generalized formula is found. It is shown that the classical results of the symmetric and staggered von Kármán vortex streets are just particular cases of the generalized dynamical system in bicomplex formulation.

Evaluation of Bacillus subtilis R0179 on gastrointestinal viability and general wellness: a randomised, double-blind, placebo-controlled trial in healthy adults.

A probiotic formulation of Enterococcus faecium R0026 and Bacillus subtilis R0179 has been evaluated in previous clinical trials. However, B. subtilis R0179 has not been evaluated as a single probiotic strain or in combination with other strains at doses higher than 0.1×109 cfu. To establish oral dose-response tolerance and gastrointestinal (GI) viability of B. subtilis R0179, a randomised, double-blind, placebo-controlled trial in healthy adults (n=81; 18-50 years old) was conducted. Participants received B. subtilis R0179 at 0.1, 1.0 or 10×109 cfu/capsule/day or placebo for four weeks. General wellness was assessed using a daily questionnaire evaluating GI, cephalic, ear-nose-throat, behavioural, emetic, and epidermal symptoms. GI symptoms were further evaluated using a weekly gastrointestinal symptom rating scale (GSRS). GI transit viability of B. subtilis R0179 was assessed by plating and microbiota analysis by 16S rRNA at baseline, week 4 of the intervention and washout. General wellness and GI function were not affected by oral consumption of B. subtilis R0179 at any dose. Daily questionnaire syndrome scores were not different from baseline and did not exceed a clinically significant score of 1. GSRS syndrome scores were not different from baseline and ranged from 1.1±0.1 to 1.9±0.2. Faecal viable counts of B. subtilis R0179 demonstrated a dose response: the placebo group (1.1±0.1 log10 cfu/g) differed from 0.1×109 (4.6±0.1 log10 cfu/g), 1×109 (5.6±0.1 log10 cfu/g) and 10×109 (6.4±0.1 log10 cfu/g) (P<0.0001). No significant changes in phyla were observed, but sequence reads binned to multiple operational taxonomic units matching closest to Ruminococci increased during probiotic supplementation. B. subtilis R0179 survives passage through the human GI tract and is well tolerated by healthy adults at intakes from 0.1 to 10×109 cfu/day. The trial has been registered at www.clinicaltrials.gov under NCT01802151.

Unstable flow structures in the Blasius boundary layer.

Finite amplitude coherent structures with a reflection symmetry in the spanwise direction of a parallel boundary layer flow are reported together with a preliminary analysis of their stability. The search for the solutions is based on the self-sustaining process originally described by Waleffe (Phys. Fluids 9, 883 (1997)). This requires adding a body force to the Navier-Stokes equations; to locate a relevant nonlinear solution it is necessary to perform a continuation in the nonlinear regime and parameter space in order to render the body force of vanishing amplitude. Some states computed display a spanwise spacing between streaks of the same length scale as turbulence flow structures observed in experiments (S.K. Robinson, Ann. Rev. Fluid Mech. 23, 601 (1991)), and are found to be situated within the buffer layer. The exact coherent structures are unstable to small amplitude perturbations and thus may be part of a set of unstable nonlinear states of possible use to describe the turbulent transition. The nonlinear solutions survive down to a displacement thickness Reynolds number Re * = 496 , displaying a 4-vortex structure and an amplitude of the streamwise root-mean-square velocity of 6% scaled with the free-stream velocity. At this Re* the exact coherent structure bifurcates supercritically and this is the point where the laminar Blasius flow starts to cohabit the phase space with alternative simple exact solutions of the Navier-Stokes equations.

Clinical outcome of autologous chondrocyte implantation is correlated with infrared spectroscopic imaging-derived parameters.

OBJECTIVE: To investigate whether Fourier transform infrared imaging spectroscopy (FT-IRIS), a modality based on molecular vibrations, is a viable alternative to histology and immunohistochemistry (IHC) for assessment of tissue quality and patient clinical outcome. METHODS: Osteochondral biopsies were obtained from patients (9-65 months post-surgery) who underwent an autologous chondrocyte implantation (ACI) procedure to repair a cartilage defect (N = 14). The repair tissue was evaluated histologically by OsScore grading, for the presence of types I and II collagen by IHC, and for proteoglycan (PG) distribution and collagen quality parameters by FT-IRIS. Patient clinical outcome was assessed by the Lysholm score. RESULTS: Improvement in Lysholm score occurred in 79% of patients. IHC staining showed the presence of types I and II collagen in all samples, with a greater amount of collagen type II in the deep zone. The amount and location of immunostaining for type II collagen correlated to the FT-IRIS-derived parameters of relative PG content and collagen helical integrity. In addition, the improvement in Lysholm score post-ACI correlated positively with the OsScore, type II collagen (IHC score) and FT-IRIS-determined parameters. Regression models for the relation between improvement in Lysholm score and either OsScore, IHC area score or the FT-IRIS parameters all reached significance (p < 0.01). However, the FT-IRIS model was not significantly improved with inclusion of the OsScore and IHC score parameters. CONCLUSION: Demonstration of the correlation between FT-IRIS-derived molecular parameters of cartilage repair tissue and patient clinical outcome lays the groundwork for translation of this methodology to the clinical environment to aid in the management of cartilage disorders and their treatment.

Effect of strontium ions substitution on gene delivery related properties of calcium phosphate nanoparticles.

Gene therapy has been considered a strategy for delivery of therapeutic nucleic acids to a specific site. Calcium phosphates are one gene delivery vector group of interest. However, low transfection efficiency has limited the use of calcium phosphate in gene delivery applications. Present work aims at studying the fabrication of strontium substituted calcium phosphate nanoparticles with improved gene delivery related properties. Strontium substituted calcium phosphate was prepared using a simple sol gel method. X-ray diffraction analysis, Fourier transform infrared spectroscopy, transmission electron microscopy, specific surface area analysis, zeta potential measurement and ion release evaluation were used to characterize the samples. This characterization showed strontium and carbonate co-substituted calcium phosphate which resulted in nano size particles with low crystallinity, high specific surface area, positive surface charge, and a high dissolution rate. These improved properties could increase the DNA concentration on the vector as well as the endosomal escape of the complex that leads to higher transfection efficiency of this novel gene delivery vector.

Mg2+ substituted calcium phosphate nano particles synthesis for non viral gene delivery application.

Gene therapy provides a unique approach to medicine as it can be adapted towards the treatment of both inherited and acquired diseases. Recently, calcium phosphate vectors as a new generation of the non viral gene delivery nano carriers have been studied because of their biocompatibility and DNA condensation and gene transfer ability. Substituting cations, like magnesium, affects physical and chemical properties of calcium phosphate nano particles. In this study, Mg(2+) substituted calcium phosphate nano particles have been prepared using the simple sol gel method. X-ray diffraction analysis, Fourier transform infra red spectroscopy, transmission electron microscopy, specific surface area analysis, zeta potential measurement and ion release evaluation were used for characterization of the samples. It was concluded that presence of Mg ions decrease particle size and crystallinity of the samples and increase positive surface charge as well as beta tricalcium phosphate fraction in chemical composition of calcium phosphate. These properties result in increasing the DNA condensation ability, specific surface area and dissolution rate of the samples which make them suitable particles for gene delivery application.

[Prostate cancer management and factors associated with radical prostatectomy in France in 2001]. / Le cancer de la prostate en France en 2001: état des pratiques et facteurs associés à la réalisation d'une prostatectomie totale.

INTRODUCTION: Prostate cancer was the most common cancer in men in France in 2005, and the second cause of male death from cancer. In this study, we analyzed clinical characteristics of patients with prostate cancer diagnosed in France in 2001 with a focus on therapeutic management of localized prostate cancers. PATIENTS AND METHODS: A total of 2181 cases of prostate cancer diagnosed in 2001 from 11 French counties covered by a cancer registry were analyzed. A descriptive study of the clinical characteristics of patients was performed. Parameters studied included age, county, TNM stage, PSA value, Gleason score, D'Amico prognostic group, Charlson's comorbidity index and initial treatment modalities. For localized cancers, multivariate logistic regression analysis identified factors associated with radical prostatectomy. RESULTS: The proportion of localized prostate cancer (T1 or T2) was 86.6 %. The use of invasive curative treatment (radical prostatectomy and radiotherapy) was 58.4 % for localized cancers. Significant differences in therapeutic management were found between counties. Radical prostatectomy was associated with age at diagnosis, D'Amico prognostic group and the presence of comorbidities. CONCLUSIONS: Most of prostate cancers diagnosed in France in 2001 were clinically localized and were treated by invasive therapy. The consequences of these practices remain to be determined given the limited evolution of many prostate cancers and the frequency of adverse events related to invasive treatments.