Seroprevalence among blood donors is a major public
health problem, both in developed and developing countries, in its magnitude.
The aim of this study was to determine the seroprevalence of hepatitis B in
blood donors. This is a descriptive study carried out in the city of Mbuji-Mayi
at the General Hospital of Dipumba in blood donors (family, volunteer and
remunerated) recorded from 01/to31/December 2016; the data were collected in a transverse fashion. The following
observations were made: During the study period, 1584 blood donors were
registered. After analyzing the data, the seroprevalence of hepatitis B in
blood donors was 2.2%, 77.8% were male (sex ratio M/F 3.5 and voluntary donors
were 50.4%.

Objectives: The objective of this work was to
analyze the etiologies of maternal deaths occurring in a tertiary hospital. Methodology:
This is a descriptive cross-sectional study with retrospective data collection
of maternal deaths that occurred in the reference provincial hospital Jason
Sendwe from 2013 to 2015. All cases of maternal deaths in line with the
definition of World Health Organization have been included. Data were analyzed
by the software Epi info and Excel 2010 7.1.4.0. Results: Seventy seven (77)
maternal deaths were identified during the study period. 74.03% of deaths
occurred direct obstetric causes. Bleeding with 61.04% was the leading cause of
maternal death followed by eclampsia (31.58%). Indirect causes were dominated
by heart disease (30.0%). Note that
75.32% of deaths had occurred within 24 hours of
admission. Conclusion: haemorrhage, eclampsia and infections are the main
causes of maternal deaths in our study. The reduction of maternal deaths happens through access to
emergency medication, transfusion and anesthetic and surgical teams in hospitals
but also through the involvement of religious leaders, traditional and any
community to better understand the population obstacles to reducing maternal
mortality.

The objective of this study was to identify and
explain the factors influencing the birth of underweight children in the city
of Mbuji-Mayi. Methods: This is not a paired case-control study of births
registered from 1 to June 30, 2015 in maternity hospitals in three health zones
selected for this study, cases are all children born with low weight and
witnesses are all children born with a normal weight is 2500 g and more. The significance level was set at p < 0.05. Results: The proportion of LBW was 14.5%. The risk factors
identified in this study are: Unmarried women [ORa = 2.92 (1.41 to 5.61)], not Luba Tribal origin [ORa = 1.71 (1.02 to 2.872)], anemia of
pregnancy [ORa = 2.92 (1.79 to 4.75)], the non-attendance of the CPN [ORa =
1.92 (1.16 to 3.17)], preterm labor [ORa = 3, 11 (1.79 to 5.41)], diabetic mothers
[ORa = 3.44 (1.91 to 6.21)], the history of malaria [ORa = 2 (1.23 to 3.26) ],
multiparity [ORa = 2 (1.23 to 3.26)] and threatened abortion histories [ORa =
6.17 (2.82 to 13.52)] had statistical significantly associated with links é
FPN.

Vaginal haemorrhages outside pregnancy in women of childbearing age are a major public health problem in both developed and developing countries. The purpose of this study was to determine the frequency and causes of vaginal haemorrhage outside pregnancy. This is a descriptive study conducted in the city of Mbuji-Mayi at Bonzola General Hospital, registered from 01 to 31 December 2017; the data were collected transversally. The following observations were made during the study period; 174 women of childbearing age were registered. After analyzing the data, the incidence of vaginal haemorrhage in women of childbearing age was 15.8% and the main causes were: cervical cancer: 32.7% and uterine myoma 22.5%.

Blood transfusion is a life-saving act because in some cases, it is the last resort to save an individual’s life. However, the seroprevalence of infectious markers in blood donors is a major public health problem, both in developed and developing countries, in its magnitude. The purpose of this study was to determine the seroprevalence of infectious markers in blood donors. This is a descriptive study conducted in the city of Mbujimayi at kansele Hospital among registered blood donors (family volunteers and paid) from the period 12/01/2017 to 13/01/2018. The data were collected in a cross-sectional manner. The following observations were made: in the study period, 522 blood donors were registered. After analyzing the data, the seroprevalence of HIV/AIDS in blood donors is 4.4%, 2.1% of cases have an HCV serological status and 5.9% a HBS positive serological status, and 2.1% a positive RPR HIV status, the male sex predominated with 85.4% was male.

Abstract:
It is proved that for any free $\mathcal{A}$-modules $\mathcal{F}$ and $\mathcal{E}$ of finite rank on some $\mathbb{C}$-algebraized space $(X, \mathcal{A})$ a \textit{degenerate} bilinear $\mathcal{A}$-morphism $\Phi: \mathcal{F}\times \mathcal{E}\longrightarrow \mathcal{A}$ induces a \textit{non-degenerate} bilinear $\mathcal{A}$-morphism $\bar{\Phi}: \mathcal{F}/\mathcal{E}^\perp\times \mathcal{E}/\mathcal{F}^\perp\longrightarrow \mathcal{A}$, where $\mathcal{E}^\perp$ and $\mathcal{F}^\perp$ are the \textit{orthogonal} sub-$\mathcal{A}$-modules associated with $\mathcal{E}$ and $\mathcal{F}$, respectively. This result generalizes the finite case of the classical result, which states that given two vector spaces $W$ and $V$, paired into a field $k$, the induced vector spaces $W/V^\perp$ and $V/W^\perp$ have the same dimension. Some related results are discussed as well.

Abstract:
Our main interest in this paper is chiefly concerned with the conditions characterizing \textit{orthogonal and symplectic abstract differential geometries}. A detailed account about the sheaf-theoretic version of the \textit{symplectic Gram-Schmidt theorem} and of the \textit{Witt's theorem} is also given.

Abstract:
Given a $C^\infty$ real manifold $X$ and $\mathcal{C}^m_X$ its sheaf of $m$-times differentiable real-valued functions, we prove that the sheaf $\mathcal{D}^{m, r}_X$ of differential operators of order $\leq m$ with coefficient functions of class $C^r$ can be obtained in terms of the sheaf $\mathcal{H}om_{\mathbb{R}_X}(\mathcal{C}^m_X, \mathcal{C}^r_X)$ of morphisms of $\mathcal{C}^m_X$ into $\mathcal{C}^r_X$. The superscripts $m$ and $r$ are integers.

Abstract:
Cofibrations are defined in the category of Fr\"olicher spaces by weakening the analog of the classical definition to enable smooth homotopy extensions to be more easily constructed, using flattened unit intervals. We later relate smooth cofibrations to smooth neighborhood deformation retracts. The notion of smooth neighborhood deformation retract gives rise to an analogous result that a closed Fr\"olicher subspace $A$ of the Fr\"olicher space $X$ is a smooth neighborhood deformation retract of $X$ if and only if the inclusion $i: A\hookrightarrow X$ comes from a certain subclass of cofibrations. As an application we construct the right Puppe sequence.

Abstract:
In this paper, building on prior joint work by Mallios and Ntumba, we show that $\mathcal A$-\textit{transvections} and \textit{singular symplectic }$\mathcal A$-\textit{automorphisms} of symplectic $\mathcal A$-modules of finite rank have properties similar to the ones enjoyed by their classical counterparts. The characterization of singular symplectic $\mathcal A$-automorphisms of symplectic $\mathcal A$-modules of finite rank is grounded on a newly introduced class of pairings of $\mathcal A$-modules: the \textit{orthogonally convenient pairings.} We also show that, given a symplectic $\mathcal A$-module $\mathcal E$ of finite rank, with $\mathcal A$ a \textit{PID-algebra sheaf}, any injective $\mathcal A$-morphism of a \textit{Lagrangian sub-$\mathcal A$-module} $\mathcal F$ of $\mathcal E$ into $\mathcal E$ may be extended to an $\mathcal A$-symplectomorphism of $\mathcal E$ such that its restriction on $\mathcal F$ equals the identity of $\mathcal F$. This result also holds in the more general case whereby the underlying free $\mathcal A$-module $\mathcal E$ is equipped with two symplectic $\mathcal A$-structures $\omega_0$ and $\omega_1$, but with $\mathcal F$ being Lagrangian with respect to both $\omega_0$ and $\omega_1$. The latter is the analog of the classical \textit{Witt's theorem} for symplectic $\mathcal A$-modules of finite rank.