A strange recursion operator for a new integrable system of coupled Korteweg - de Vries equations

A recursion operator is constructed for a new integrable system of coupled Korteweg - de Vries equations by the method of gauge-invariant description of zero-curvature representations. This second-order recursion operator is characterized by unusual structure of its nonlocal part.Comment: 12 pages, final versio

Prolongation Algebra and Backlund Transformations of Drinfeld-Sokolov System of Equations

We show that the Drinfeld-Sokolov system of equations has a nontrivial prolongation structure. The closure process for prolongation algebra gives rise to the sl(4,c) algebra which is used to derive the scattering problem for the system of equations under consideration. The nontrivial new Backlund transformations and some explicit solutions are given.Comment: 13 page

Integrability of a Non-autonomous Coupled KdV System

The Painlev\'{e} property of coupled, non-autonomous Korteweg-de Vries (KdV) type of systems is studied. The conditions under which the systems pass the Painlev\'{e} test for integrability are obtained. For some of the integrable cases, exact solutions are given.Comment: 7 pages, 2 figures, to be published in IJMPC. For related figures, see http://www.metu.edu.tr/~akarasu/figures.htm

Singularity analysis of a spherical Kadomtsev-Petviashvili equation

The (2+1)-dimensional spherical Kadomtsev-Petviashvili (SKP) equation of J.-K. Xue [Phys. Lett. A 314:479-483 (2003)] fails the Painleve test for integrability at the highest resonance, where a nontrivial compatibility condition for recursion relations appears. This compatibility condition, however, is sufficiently weak and thus allows the SKP equation to possess an integrable (1+1)-dimensional reduction, which is detected by the Weiss method of truncated singular expansions.Comment: 7 page

The Lie Algebra sl(2, R) and so-called Kepler-Ermakov Systems

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Production of freeze-dried flaxseed oil powders by using rocket seed gum as an alternative novel encapsulation agent to improve oxidative stability

Flaxseed oil rich in α-linolenic acid (ALA) has many health beneficial properties, but suffers from oxidation degradation due to its unsaturated nature, and may need a protective delivery system to apply to different food formulations. In this study, the rocket seed gum was used as a novel encapsulation agent to produce freeze-dried powders. The rocket seed gum (RSG), gum arabic (GA), and their combination were used at two different oil: wall material ratios. Replacing GA with RSG changed the flow behavior of emulsions from Newtonian to shear-thinning, also RSG addition improved the rheological properties of flaxseed emulsion and provided viscoelastic solid characteristics. The encapsulation efficiency (EE %) of flaxseed oil was changed between 38.14 and 52.37%. The effect of wall material type was not significant while the ratio of wall material to oil was significant (p<0.05). The FT-IR image of powders showed that flaxseed oil was successfully encapsulated by the RSG. The flaxseed oil powders prepared by RSG showed 3.12 to 5.73 times higher oxidative stability than the flaxseed oil and the powder prepared only with GA. The more amount of air voids observed in SEM images of powders produced with GA might also be related to their lower oxidative stability. Our study showed that rocket seed gum can be successfully used as a new encapsulation agent to produce oxidatively stable microencapsulated flaxseed oil powders

Backlund transformation and special solutions for Drinfeld-Sokolov-Satsuma-Hirota system of coupled equations

Using the Weiss method of truncated singular expansions, we construct an explicit Backlund transformation of the Drinfeld-Sokolov-Satsuma-Hirota system into itself. Then we find all the special solutions generated by this transformation from the trivial zero solution of this system.Comment: LaTeX, 5 page

“Near miss” maternal morbidity following repeat rescue cerclage for twin pregnancy

Objective Repeat cervical cerclage is one of the treatment options described in the literature for when the primary cerclage suture fails. However, infectious complications of cerclage placement may be encountered which are more obvious for the newborn. In our presented case, severe acute maternal morbidity was encountered for the sake of prolonging pregnancy. Case(s) Twenty-seven year old nullipar patient at 23+5 gestational weeks with dichorionic diamniotic pregnancy was admitted to our emergency clinic with complaints of “pain” and “vaginal bleeding”. At 18 weeks of pregnancy she had a Shirodkar cerclage procedure indicated by a short cervical length (14 mm) at our hospital. She presented with “bulging of membranes” to a different institution and underwent a repeat cerclage at 23+3 weeks. Chorioamnionitis was suspected and the patient was counselled for a pregnancy termination. After termination of pregnancy, “cardiac arrest” developed. After 2 minutes of resuscitation sinus rythm was obtained. The patient was admitted to the ICU. Conclusion The role of repeat cerclage is controversial. Efforts should be maximized to rule out underlying intrauterine infection prior to placement of a cerclage suture for there to be a therapeutic benefit of prolonging the pregnancy

The Effects of Micronized Progesterone and Cabergoline On a Rat Autotransplantation Endometriosis Model: A Placebo Controlled Randomized Trial

Aim The etiology of endometriosis is complex and various theories have been postulated. Endometriosis pathogenesis involves genetic susceptibility, immunologic alterations and inflammatory prerequisite pathways. In this pilot experimental animal study we wanted to investigate the effects of cabergoline and micronized progesterone on a rat endometriosis model. Material and methods All rats were provided and housed in the animal laboratory of the Experimental Research Center of Bezmialem Vakif University. This was a placebo controlled randomized trial. The endometriosis model consisted of autotransplantation of endometrial tissue on 21 adult Sprague-Dawley rats. Endometriosis formation by second-look laparotomy was confirmed 8 weeks later. After measuring the endometriosis implant area the rats were randomized into three intervention groups: cabergoline treatment group, micronized progesterone treatment group and the control group. Four weeks after treatment, a third laparotomy was performed to remeasure implant volumes. Endometriotic implants were obtained for histopathological and immunohistochemical analysis. Results After 4 weeks of treatment endometriosis implant sizes diminished in all groups. There was no statistically significant difference regarding implant size volume before and after treatment among the groups. The peritoneal histopathology and immunohistochemistry showed no difference with regards to IL-6 and TNF-α staining among groups. Conclusion We conclude that oral treatment of cabergoline and micronized progesterone for 4 weeks was not statistically effective in endometriotic implant regression. However, we believe further studies are warranted. Treatment for longer durations or via different routes may be investigated in further studies. When ethically applicable other mammals may be considered such as baboons

Intraoperative Complications and Conversion to Laparatomy in Gynecologic Robotic Surgery

Introduction In this study our objective was to document complications encountered during our initial experience with the robotic system and also state the cases in which conversion to laparotomy was necessary. Material and Methods This study is a retrospective analysis of robotically performed gynecological and gynecologic oncology procedures at a single center from July 2016 to July 2018. Patient demographics and preoperative indications were obtained from the electronic medical records. Results The patients had a mean age of 53.6 years (range, 25–84 years). The operative time ranged from 1 h and 50 min to 9 h (mean, 5 h and 2 min). Most of the complications were managed within minutes and with robotic assisted suturing when necessary. Five patients out of 83 patients needed a surgical conversion from robotic surgery. Conversion rate was 6.02%. Conclusion During the study period we were able to manage complications uneventfully without requiring conversion to laparotomy most of the time. Vascular complications encountered during robotic surgery can be managed without requiring conversion to laparatomy