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This study investigates the controllability of a Volterra evolution equation with impulsive terms and nonlocal initial conditions. With the aid of the resolvent operator generated by the linear part of the equation, mild solutions can be defined. Notably, the resolvent operator lacks compactness and equicontinuity. Additionally, the compactness of the impulsive and nonlocal functions is not required. Sufficient conditions for controllability are obtained through measures of noncompactness in Banach spaces. Functional differential equations and hyperbolic partial differential equations can be solved with these results. An example is given to illustrate the validity of the presented results. [ABSTRACT FROM AUTHOR]

When the evolution family is hyperbolic and satisfies the Acquistapace-Terreni conditions, the existence and uniqueness of an almost automorphic mild solution and a weighted pseudo almost automorphic mild solution in distribution of mean-filed nonautonomous stochastic evolution equations driven by fractional Brownian motion is proved. Examples illustrating the main results are included. [ABSTRACT FROM AUTHOR]

In this work, we prove strong convergence on small time interval of order 1 / 2 − ϵ for arbitrarily small ϵ > 0 of the Euler-Maruyama approximation for additive Brownian motion with Hölder continuous drift satisfying a linear growth condition. The proof is based on direct estimations of functional of the Euler-Maruyama approximation. The order of convergence does not depend on the Hölder index of the drift, thus generalizing the results obtained in [10] to both Linear growth and to an optimal convergence order. [ABSTRACT FROM AUTHOR]

The Caribbean ranks seventh among the world regions most affected by cervical cancer. HPV-prevalence and genotype distributions also differ from regions. Knowledge of HPV genotype profiles is important for patients care and HPV vaccination implementation. The objective of this study was to describe HPV genotype distribution and risk factors in a population-based cohort of women in Martinique. In this study, 1312 women were included and underwent cervical cancer screening with successful sample collection between 2009 and 2014. Sociodemographic and clinical variables were recorded. Cytological examination of cervical vaginal smear was performed and classified(Bethesda). Detection of HPV DNA was performed with the PapilloCheck© Kit from Greiner Bio-one. Genotypes were analyzed for18 high-risk HPV (hrHPV) and 6low-risk HPV(lrHPV) types. A total of 1075 women were included with a mean age of 49.1±10.5 years. HPV prevalence was 27.6% (297/1075) with 19.4% (209/1075) women with only hrHPV, 5.3% (57/1075) with only lrHPV. Multiple infections (hrHPV/lrHPV) were detected in 31/240 cases of hrHPV (12.9%). A total of 353 hrHPV genotypes were analyzed; the most common HPV types were HPV51 (11.0%), HPV68 (10.8%), HPV53 (9.1%) and HPV 52 (7.1%). HPV16 and HPV18 represented respectively 4.8% and 4.0% of hrHPV genotypes. Abnormal cytology was observed in 34 cases (3.2%), with 14 ASCUS (1.3%), 10 LSIL (0.9%), 5 HSIL (0.5%), 3 ASC-H (0.3%) and 2 AGC (0.2%). Fifteen (44.1%) were hrHPV and 4 (14.7%) lrHPV; 7 cases of hrPHV were in the age-group 25–34 years. Among 1041cases of normal cytology, 225 had positive hrHPV detection (21.6%). This is the first population-based study of HPV profiles in our country, and we found a high prevalence of hrHPV. The most common genotypes were HPV51, 68, 53. These results could serve for cancer vaccination strategies and HPV surveillance in Martinique. [ABSTRACT FROM AUTHOR]

In this work, we consider the question of controllability of a class of integrodifferential equations on Hilbert space with measures as controls. We assume that the linear part has a resolvent operator in the sense given by R. Grimmer. We generalize the original work of N. Ahmed on vector measures, and we use it to develop necessary and sufficient conditions for weak and the exact controllability of the integrodifferential equation. Using the latter, we prove that exact controllability of the integrodifferential equation implies exact controllability of a perturbed integrodifferential equation. Controllability problem for the perturbed system is formulated fixed point problem in the space of vector measures. Our results cover impulsive controls as well as regular controls. Copyright © 2016 John Wiley & Sons, Ltd. [ABSTRACT FROM AUTHOR]

Objective: The proliferation of prostate cells appears to be influenced by two steroidal hormones: testosterone and vitamin D, whose action appears to mediated by their respective receptors. The genes coding for these two receptors and the gene coding for 5-alpha-reductase (enzyme involved in testosterone metabolism) have been identified as candidate genes for prostate cancer predisposition. Previous epidemiological and genetic susceptibility studies have reported controversial results concerning the role of these genes on prostate cancer incidence in various populations. The objective of this study was to determine the possible association in this population between polymorphisms of these genes, and the clinical and pathological stage and grade of prostate cancer., Methodology: This case-control epidemiogenetic study was based on 253 subjects living in Martinique. Prostate cancer is the most frequent cancer in men and the leading cause of cancer death in Martinique. Its incidence is 80 per 100,000 inhabitants (world population standardized rates), which makes Martinique one of the most severely affected regions in the world with an incidence close to that of Afro-Americans. Cases and controls were recruitedfrom the hospital and general populations. The following gene polymorphisms were evaluated: the androgen receptor (AR) was studied by microsatellites of the CAG codon repeat domain; the vitamin D receptor (VDR) gene was studied on poly(A) sequences of the 3'-UTR region; 5a-reductase II (SRD5A2) was studied by poly(TA) microsatellites. The odds-ratio (OR) was estimated by logistic regression with integration of clinical and biological parameters., Results: Our results for the androgen receptor showed an association between the presence of more than 20 CAG repeats and localized or low-grade forms. A risk related to the heavy allele of VDR was observed in advanced and low-grade forms (PSA-T > 20 ng/ml). Lastly, no 5a-reductase polymorphism distinguishing cases from controls was observed., Conclusion: This study demonstrated results that differ from those observed for other populations with a similar ethnic origin. For AR and VDR genes, the presence of a heavy allele is associated with an increased risk of developing prostate cancer with a poor prognosis. No high-risk group was identified according to 5a-reductase gene polymorphism.