Solvability of an Infinite System of Singular Integral Equations

2000 Mathematics Subject Classification: 45G15, 26A33, 32A55, 46E15.Schauder's fixed point theorem is used to establish an existence result for an infinite system of singular integral equations in the form: (1) xi(t) = ai(t)+ ∫t0 (t − s)− α (s, x1(s), x2(s), …) ds, where i = 1,2,…, α ∈ (0,1) and t ∈ I = [0,T]. The result obtained is applied to show the solvability of an infinite system of differential equation of fractional orders

A rare case of posterior uterine rupture with neonatal survival during trial of vaginal birth after cesarean section

Posterior wall uterine rupture is a rare complication. Trial of vaginal birth after cesarean section (CS) is a predisposing factor especially when associated with augmentation of labor. Here we report a case of intrapartum uterine rupture during the second stage of labor in a multiparous woman trying vaginal birth after previous CS. Emergency laparotomy was done and the baby was saved. Repair of the site of the rupture in layers with complete hemostasis was achieved

Management of postpartum iron deficiency anemia: review of literature

Anemia is a condition in which either the number of circulating red blood cells or their hemoglobin concentration is decreased. As a result, there is decreased transport of oxygen from the lungs to peripheral tissues. The standard approach to treatment of postpartum iron deficiency anemia is oral iron supplementation, with blood transfusion reserved for more server or symptomatic cases. There are a number of hazards of allogenic blood transfusion including transfusion of the wrong blood, infection, anaphylaxis and lung injury, any of which will be devastating for a young mother. These hazards, together with the national shortage of blood products, mean that transfusion should be viewed as a last resort in otherwise young and healthy women. Currently, there are many iron preparations available containing different types of iron salts, including ferrous sulfate, ferrous fumarate, ferrous ascorbate but common adverse drug reactions found with these preparations are mainly gastrointestinal intolerance like nausea, vomiting, constipation, diarrhoea, abdominal pain, while ferrous bis-glycinate (fully reacted chelated amino acid form of iron) rarely make complication. Two types of intravenous (IV) preparations available are IV iron sucrose and IV ferric carboxymaltose. IV iron sucrose is safe, effective and economical. Reported incidence of adverse reactions with IV iron sucrose is less as compared to older iron preparations (Iron dextran, iron sorbitol), but it requires multiple doses and prolonged infusion time. Intramuscular iron sucrose complex is particularly contraindicated because of poor absorption. It was also stated that when iron dextran is given intravenously up to 30% of patients suffer from adverse effects which include arthritis, fever, urticaria and anaphylaxis

Spontaneous triplet pregnancy with twin fetuses papyraeci: a rare case report and review of the literature

A fetal death in a multiple pregnancy with one or more normally surviving fetus is unusual. Fetus papyraceous (FP) is a rare obstetric complication in multiple gestations. It is defined as retention of a mummified parchment like remains of a dead fetus in multiple pregnancy associated with a viable twin. It is important to reassure the patient of the normal outcome expected in most of the cases. Herein, we report a rare case of twin FP in a spontaneous triplet pregnancy with a literature review of maternal and neonatal outcomes and management of similar cases

First trimester spontaneous rupture of an unscarred uterus in a multiparous woman: a case report

The rupture of an unscarred uterine is a rare life-threatening event that usually occurs late in pregnancy or during labor. Spontaneous uterine rupture, as in our case, is extremely uncommon and rarely diagnosed before laparotomy. Herein, we present a case of spontaneous uterine rupture in a 32 year old multiparous woman with no previous uterine surgery. The patient presented with acute abdomen at 11 weeks of gestation. Preoperative diagnosis based on clinical and ultra-sonographic findings was ruptured ectopic pregnancy. However, emergency laparotomy showed uterine rupture with extrusion of a dead fetus within intact amniotic sac in the abdomen. The defect was repaired in layers and the patient was discharged in a good condition after five days of hospital stay. Multiparity is a risk factor for spontaneous uterine rupture even in the first trimester. It should be kept in mind in any pregnant multiparous woman presenting with acute abdomen and shock. The absence of vaginal spotting and lack of history of uterine surgery give a false sense of security

Novel RF/Microwave Circuits And Systems for Lab on-Chip/on-Board Chemical Sensors

Recent research focuses on expanding the use of RF/Microwave circuits and systems to include multi-disciplinary applications. One example is the detection of the dielectric properties of chemicals and bio-chemicals at microwave frequencies, which is useful for pharmaceutical applications, food and drug safety, medical diagnosis and material characterization. Dielectric spectroscopy is also quite relevant to detect the frequency dispersive characteristics of materials over a wide frequency range for more accurate detection. In this dissertation, on-chip and on-board solutions for microwave chemical sensing are proposed. An example of an on-chip dielectric detection technique for chemical sensing is presented. An on-chip sensing capacitor, whose capacitance changes when exposed to material under test (MUT), is a part of an LC voltage-controlled oscillator (VCO). The VCO is embedded inside a frequency synthesizer to convert the change in the free runing frequency frequency of the VCO into a change of its input voltage. The system is implemented using 90 nm CMOS technology and the permittivities of MUTs are evaluated using a unique detection procedure in the 7-9 GHz frequency range with an accuracy of 3.7% in an area of 2.5 × 2.5 mm^2 with a power consumption of 16.5 mW. The system is also used for binary mixture detection with a fractional volume accuracy of 1-2%. An on-board miniaturized dielectric spectroscopy system for permittivity detec- tion is also presented. The sensor is based on the detection of the phase difference be- tween the input and output signals of cascaded broadband True-Time-Delay (TTD) cells. The sensing capacitor exposed to MUTs is a part of the TTD cell. The change of the permittivity results in a change of the phase of the microwave signal passing through the TTD cell. The system is fabricated on Rogers Duroid substrates with a total area of 8 × 7.2 cm2. The permittivities of MUTs are detected in the 1-8 GHz frequency range with a detection accuracy of 2%. Also, the sensor is used to extract the fractional volumes of mixtures with accuracy down to 1%. Additionally, multi-band and multi-standard communication systems motivate the trend to develop broadband front-ends covering all the standards for low cost and reduced chip area. Broadband amplifiers are key building blocks in wideband front-ends. A broadband resistive feedback low-noise amplifier (LNA) is presented using a composite cross-coupled CMOS pair for a higher gain and reduced noise figure. The LNA is implemented using 90 nm CMOS technology consuming 18 mW in an area of 0.06 mm2. The LNA shows a gain of 21 dB in the 2-2300 MHz frequency range, a minimum noise figure of 1.4 dB with an IIP3 of -1.5 dBm. Also, a four-stage distributed amplifier is presented providing bandwidth extension with 1-dB flat gain response up to 16 GHz. The flat extended bandwidth is provided using coupled inductors in the gate line with series peaking inductors in the cascode gain stages. The amplifier is fabricated using 180 nm CMOS technology in an area of 1.19 mm2 achieving a power gain of 10 dB, return losses better than 16 dB, noise figure of 3.6-4.9 dB and IIP3 of 0 dBm with 21 mW power consumption. All the implemented circuits and systems in this dissertation are validated, demonstrated and published in several IEEE Journals and Conferences

Peripartum hysterectomy for cesarean section with morbidly adherent placenta: case series of 25 patients

Background: The current paper reports the outcome of case series of patients presented with placenta accreta confirmed histopathologicaly after management by peripartum hysterectomy.Methods: The study was set in Women’s Health Hospital, Assiut University, Egypt. This was a case series of 25 women presented with placenta accreta between May 2017 and April 2018. We included all pregnant women with placenta previa as diagnosed by ultrasound with suspicion of abnormal placentation by Doppler, confirmed intra-operatively undergoing either emergent or elective CS. All cases were performed by an expert team of obstetricians and anesthetists. Cesarean delivery was done under general anesthesia through pfannensteil incision. The primary outcome was the estimated intra-operative blood loss through assessment of amount of blood in the suction by ml, difference between the weight of surgical drapes and towels before and after operation.Results: Pre-operative Hb was 10.64±1.01 gm/dL and there was significant decline in the postoperative Hb reaching 8.36±1.21 gm/dL (p<0.001). The mean drop in Hb was 2.28±1.43gm/dL. Estimated intra-operative blood loss was 974.4±398.05 ml in the towels and 847.6±362.56 ml in the suction apparatus. The total blood loss was 1822±653.73 ml. The mean number of units of whole blood transfused was 2160.0±825.6 ml and fresh frozen plasma was 1010.0±349.7 ml. Regarding intra-operative complications, bladder injury was the most common one in 14 cases (56%), followed by ureteric injury in two cases (8%). Postoperative ICU admission was in 6 cases (24%) and the mean duration of hospital stay 12.44 ± 4.07 days. No cases of maternal mortality.Conclusions: In conclusion, peripartum hysterectomy is considered life-saving surgery in patients with placenta accreta