Convergence to Equilibrium in the Free Fokker-Planck Equation With a Double-Well Potential

We consider the one-dimensional free Fokker-Planck equation $\frac{\partial \mu\_t}{\partial t} = \frac{\partial}{\partial x} \left[ \mu\_t \left( \frac12 V' - H\mu\_t \right) \right]$, where $H$ denotes the Hilbert transform and $V$ is a particular double-well quartic potential, namely $V(x) = \frac14 x^4 + \frac{c}{2} x^2$, with $-2 \le c < 0$. We prove that the solution $(\mu\_t)\_{t \ge 0}$ of this PDE converges to the equilibrium measure $\mu\_V$ as $t$ goes to infinity, which provides a first result of convergence in a non-convex setting. The proof involves free probability and complex analysis techniques

Use of observation followed by outpatient stress testing in chest pain patients with prior coronary artery disease history: An evaluation of prognostic utility.

OBJECTIVE: To determine the outcomes of patients with chest pain (CP) and prior history of coronary artery disease (CAD) managed with observation followed by outpatient stress myocardial perfusion imaging (MPI). METHODS: Retrospective analysis of patients with CP managed with observation followed by outpatient stress MPI, comparing cardiovascular (CV) event rates stratified by CAD history. RESULTS: 375 patients were included: 111 with and 264 without a CAD history. All patients underwent outpatient stress MPI within 72 h of observation. MPI identified patients at risk for CV events. However, while patients with negative MPI and without a CAD history had very low rates of short- and long-term CAD events (0.8%, 0.8%, and 1.3% at 30 days, 1 year, and 3 years, respectively), event rates of those with a negative test but a CAD history were significantly higher (2.6%, 5.3%, and 6.6% at 30 days, 1 year and 3 years, respectively; p = 0.044 and p = 0.034 compared to CAD- patients at 1 year and 3 years, respectively). In a multivariable logistic regression model, a positive MPI proved to be an independent predictor of long-term CV events in patients with CP and prior CAD. CONCLUSION: Observation followed by stress MPI can effectively risk stratify CP patients with prior CAD for CV risk. These patients are at increased risk of CV events even after a low-risk stress MPI study. Patients presenting with CP and managed with a strategy of observation followed by a negative stress MPI warrant close short- and long-term monitoring for recurrent events

High Levels of Human Immunodeficiency Virus Type 1 in Blood and Semen of Seropositive Men in Sub-Saharan Africa

High levels of human immunodeficiency virus type 1 (HIV-1) replication, as reflected in HIV-1 RNA concentrations in blood and semen, probably contribute to both rapid disease progression and enhanced sexual transmission. Semen and blood were collected from 49 Malawian and 61 US and Swiss (US/Swiss) HIV-1.seropositive men with similar CD4 cell counts and no urethritis or exposure to antiretroviral drugs. Median seminal plasma and blood plasma HIV-1 RNA concentrations were > 3-fold (P = .034) and 5-fold (P = .0003) higher, respectively, in the Malawian men. Similar differences were observed in subsets of the Malawian and US/Swiss study groups matched individually for CD4 cell count (P = .035 and P <.002, respectively). These observations may help explain the high rates of HIV-1 sexual transmission and accelerated HIV-1 disease progression in sub-Saharan Afric

Multicentre International Study for the Prevention with iAluRil of Radio-induced Cystitis (MISTIC) : A Randomised Controlled Study

Radiation-induced cystitis is a common side effect of radiotherapy (RT) to the pelvic area. Hyaluronic acid (HA) and chondroitin sulfate (CS) are components of the urothelial mucosa and positive results have been obtained for intravesical HA/CS instillations for the treatment of urinary tract infections and bladder pain syndrome. HA/CS may also have a protective effect against RT bladder toxicity. To investigate whether HA and CS protect the urothelium during RT, alleviate lower urinary tract symptoms, and improve quality of life. This multicentre randomised controlled trial was conducted across seven centres in four countries. Male patients aged ≥18 yr scheduled to undergo primary intensity-modulated radiotherapy for localised prostate cancer were enrolled. Patients were randomised to intravesical HA/CS plus an oral formulation of curcumin, quercetin, HA, and CS (group A) or no treatment (group B). The primary endpoint was absolute changes from baseline to follow-up in urinary domain scores for the Expanded Prostate Cancer Index Composite (EPIC), the International Consultation on Incontinence Questionnaire-Male Lower Urinary Tract Symptoms (ICIQ-MLUTS), and the EuroQol Group EQ-5D-5L questionnaire. Data analysis for efficacy and safety outcomes was performed using an intention-to-treat (ITT) approach; the ITT population was defined as all randomised patients. Of 57 patients screened, 49 were enrolled and randomly assigned to either active treatment (group A, n = 25) or the control (group B, n = 24). Three patients in the control group withdrew after randomisation. Changes from baseline to 12 mo were worse in the control group for subtotal scores for urinary symptoms and impact of symptoms on quality of life and for the total score (p = 0.05, p = 0.003, and p = 0.008, respectively). There was a significant time × group interaction in favour of active treatment for the incontinence symptom score (p = 0.011) and bother score (p = 0.017). The absence of a sham procedure and/or placebo is the main limitation. Our results suggest that intravesical HA/CS in combination with an oral formulation may reduce urinary symptoms and improve QoL at short-term (1 yr) follow-up. We investigated whether hyaluronic acid (HA) and chondroitin sulfate (CS) have a protective effect against the bladder toxicity of radiotherapy for prostate cancer. HA/CS used for weekly bladder irrigation for 6 wk and given orally with curcumin and quercetin for 12 wk reduced urinary incontinence symptoms and bother measured at 1-year follow-up. This may hold promise as a preventive treatment if the results are confirmed in further trials. Our findings show a beneficial effect of intravesical hyaluronic acid (HA)/chondroitin sulfate (SC) plus the oral combination of curcumin, quercetin, HA, and CS for prevention of acute and late (1 yr) radiation-induced cystitis and improvement in quality of life. The current strategy may have a place among treatment options for the prevention of radiation-induced bladder complications, which until now have been limited to symptom-relieving and temporary modalities

Development of an antimicrobial susceptibility surveillance system for Neisseria gonorrhoeae in Malawi: comparison of methods.

Susceptibility of Neisseria gonorrhoeae to gentamicin, the primary treatment for gonorrhea in Malawi since 1993, was determined by using agar dilution MICs, E-test MICs, disc diffusion, and clinical cure rate. Agar dilution MICs were slightly higher in 1996 than in 1993 isolates, with a concomitant drop in the clinical cure rate. E-test MICs were substantially lower than agar dilution determinations, with only 77.4% within 1 log2 concentration

Recognition of Depression in Older Medical Inpatients

BACKGROUND: Studies of recognition of depression in older (aged 65 or more) medical inpatients show low rates of recognition of depression by attending physicians. However, few studies have compared different measures of recognition of depression. OBJECTIVES: (1) To compare the validity of four indicators of recognition of depression and a global measure of recognition against a diagnosis of depression and (2) to explore the effect of patient characteristics on recognition of depression. METHODS: In a cohort of 264 medical inpatients 65 years and older (115 with major or minor depression, 78 with no depression), sensitivities, specificities, and diagnostic odds ratios (DOR) of 4 indicators of recognition (symptoms, diagnosis, treatment, and referral) and a global measure of recognition (any of the 4 indicators) were calculated. The associations between patient characteristics (age, sex, history of depression, antidepressant use before admission, severity of depression, comorbidity, duration of hospitalization, disability, and hospital of admission) and recognition were explored using multiple logistic regression. RESULTS: Less than half of the depressed patients were recognized. The indicator with the highest sensitivity was treatment (27.8%, 95% confidence interval [CI] 20.0–37.0), whereas the indicator with the best specificity was diagnosis (96.6%, 95% CI 91.9–98.7). The unadjusted DOR of global recognition was 2.6 (95% CI 1.5, 4.4). Less comorbidity, more severe depression symptoms, a history of depression, longer hospital stay, and antidepressant use before admission were significantly associated with better global recognition. CONCLUSION: Recognition of depression in elderly medical inpatients depends upon the indicator of recognition used

HIV/HCV Co-infection: Pathogenesis, Clinical Complications, Treatment, and New Therapeutic Technologies

World-wide, hepatitis C virus (HCV) accounts for approximately 130 million chronic infections, with an overall 3% prevalence. Four to 5 million persons are co-infected with HIV. It is well established that HIV has a negative impact on the natural history of HCV, including a higher rate of viral persistence, increased viral load, and more rapid progression to fibrosis, end-stage liver disease, and death. Whether HCV has a negative impact on HIV disease progression continues to be debated. However, following the introduction of effective combination antiretroviral therapy, the survival of coinfected individuals has significantly improved and HCV-associated diseases have emerged as the most important co-morbidities. In this review, we summarize the newest studies regarding the pathogenesis of HIV/HCV coinfection, including effects of coinfection on HIV disease progression, HCV-associated liver disease, the immune system, kidney and cardiovascular disease, and neurologic status; and effectiveness of current anti-HIV and HCV therapies and proposed new treatment strategies