Intersections of Sequences of Ideals Generated by Polynomials: Dedicated to Professor Stanis law Lojasiewicz on his 70th birthday

We present a method for determining the reduced Gröbner basis with respect to a given admissible term order of order type ! of the intersection ideal of an infinite sequence of polynomial ideals. As an application we discuss the Lagrange type interpolation on algebraic sets and the 'approximation' of the ideal I of an algebraic set by zero dimensional ideals, whose affine Hilbert functions converge towards the affine Hilbert function of I

Reduction of everywhere convergent power series with respect to Gröbner bases

We introduce a notion of Gröbner reduction of everywhere convergent power series over the real or complex numbers with respect to ideals generated by polynomials and an admissible term ordering. The presented theory is situated somewhere between the known theories for polynomials and formal power series. Our main theorem states the existence of a formula for the division of everywhere convergent power series over the real or complex numbers by a finite set of polynomials. If the set of polynomials is a Gröbner basis then the remainder of that division depends only on the equivalence class of the power series modulo the ideal generated by the polynomials. When the power series which shall be divided is a polynomial the division formula leads to a usual Gröbner representation well known from polynomial rings. Finally, the results are applied to prove the closedness of ideals generated by polynomials in the ring of everywhere convergent power series and to give a very simple proof of the affine version of Serre's graph theorem

Selected nutritional risk parameters in patients with laryngeal cancer — a comparison with other patients hospitalized in a Department of Laryngology and patients with colorectal cancer

Background: It is assumed that neoplasm greater in size may affect a patients’ nutritional status and prognosisstronger than smaller one. The aim of this study was to compare the nutritional status and prognosisof patients with laryngeal cancer (LC), recognized as tumour smaller in size, and patients with colorectalcancer (CRC) who were hospitalized in our hospital during the one year period. Methods: The retrospective review of medical documentation of all 1,134 patients hospitalized in a Departmentof Otolaryngology. Results: The laryngeal tumour was smaller than colorectal. Nutritional risk concerned 9% of patients withLC, was greater than in patients with other laryngeal disorders (1.4%), and lower than in patients withCRC (37%). A Nutritional Risk Screening (NRS) 2002 score ≥ 3 was the only significant factor influencingthe risk of in-hospital all-cause mortality, 14- and 30-day readmissions in patients with LC, and the risk of14-day rehospitalization in patients with CRC. Conclusions: Risk of malnutrition in patients with LC was lower than in counterparts with CRC, and concern9% and 37% of patients, respectively. Nutritional risk diagnosed in patients with LC had a strongerassociation with the prevalence of the measured outcomes (in-hospital death, the risk of 14-day and30-day readmission, length of hospitalization) than in individuals with CRC

Can the Obesity Surgery Mortality Risk Score predict postoperative complications other than mortality?

Introduction : Laparoscopic sleeve gastrectomy (LSG) and laparoscopic Roux-en-Y gastric bypass (LRYGB) are bariatric procedures with acceptable risk of postoperative morbidities and mortalities, but identification of high-risk patients is an ongoing issue. DeMaria et al. introduced the Obesity Surgery Mortality Risk Score (OS-MRS), which was designed for mortality risk assessment but not perioperative morbidity risk. Aim : To assess the possibility to use the OS-MRS to predict the risk of perioperative complications related to LSG and LRYGB. Material and methods: Retrospective analysis of patients operated on for morbid obesity was performed. Patients were evaluated before and after surgery. We included 408 patients (233 LSG, 175 LRYGB). Perioperative complications were defined as adverse effects in the 30-day period. The Clavien-Dindo scale was used for description of complications. Patients were assigned to five grades and three classes according to the OS-MRS results, then risk of morbidity was analyzed. Results: Complications were observed in 30 (7.35%) patients. Similar morbidity was related to both procedures (OR = 1.14, 95% CI: 0.53–2.44, p = 0.744). The reoperation and mortality rates were 1.23% and 0.49% respectively. There were no significant differences in median OS-MRS value between the group without and the group with perioperative complications. There were no significant differences in OS-MRS between groups (p = 0.091). Obesity Surgery Mortality Risk Score was not related to Clavien-Dindo grades (p = 0.800). Conclusions : It appears that OS-MRS is not useful in predicting risk of perioperative morbidity after bariatric procedures

Short hospital stays after laparoscopic gastric surgery under an Enhanced Recovery After Surgery (ERAS) pathway : experience at a single center

INTRODUCTION: Recently, first reports on benefits from Enhanced Recovery After Surgery (ERAS) pathway in patients undergoing gastric surgery have appeared. It seems that maximal reduction of unfavorable surgery-induced trauma in patients with gastric malignancy via ERAS protocol combined with minimally invasive techniques can improve outcomes. OBJECTIVE: The aim of this study was to determine the influence of laparoscopic surgery and ERAS protocol in oncological gastric surgery on early outcomes. MATERIALS AND METHODS: Prospective analysis involved 28 patients (18 female and 10 male) with gastric malignancy who underwent laparoscopic gastric resection between 2009 and 2013. Gastric tumors (gastrointestinal stromal tumors or adenocarcinoma) were the indication for the surgery. A total of 17 patients underwent laparoscopic local excision, and 11 patients with adenocarcinoma or multiple neuroendocrine tumors underwent laparoscopic D2 total gastrectomy. Perioperative care was based on ERAS principles. Length of hospital stay, postoperative course, perioperative complications, and readmission rates were analyzed. RESULTS: There was one conversion in the gastrectomy group. All patients were mobilized on the day of surgery. Oral fluids were introduced on day 0 and were well tolerated. Full hospital diet was started on day 2 in all patients, but was well tolerated in only 18 of them. One postoperative complication requiring reoperation was noted. The length of stay after gastrectomy and gastric wedge resection was 4.6 (2–6) and 3.3 (2–6) days, respectively. No readmissions were noted in the entire group. CONCLUSIONS: The implementation of ERAS protocol to clinical practice in combination with laparoscopy in patients with gastric tumors can result in improved postoperative care quality, shortening of hospital stay, and quicker return to normal activity

Znaczenie badania zmian hemodynamicznych u pacjentów z przewlekłą chorobą nerek Zastosowanie metod impedancyjnych

W ostatnich latach obserwuje się znaczny wzrostliczby pacjentów dializowanych. Hipotonia śród -dializacyjna jest częstym powikłaniem dializoterapiiistotnie wpływającym na rokowanie pacjentów.W artykule przedstawiono zastosowanie nieinwazyjnejtechniki kardiografii impedancyjnej oraz metodbioimpedancyjnych w monitorowaniu trendówzmian hemodynamicznych w tej grupie chorych.Metody te mogą być użyte do ustalenia bezpiecznejdla pacjenta „suchej masy ciała”. Dokonanorównież przeglądu piśmiennictwa dotyczącegoprzydatności technik impedancyjnych na oddzia -łach dializ.In recent years there has been a significant increasein the number of patients on dialysis. Intradialytichypotension is a common complication of dialysis,significantly affecting the prognosis of patients. Thearticle describes the use of non-invasive techniquesand methods of impedance cardiography to monitortrends in hemodynamic changes in these patients.These methods can be used to determine appropriatemanagement. We also reviewed the literature interms of the usefulness of impedance techniquesin dialysis units

Changes in levels of selected incretins and appetite-controlling hormones following surgical treatment for morbid obesity

INTRODUCTION: The hormonal brain-gut axis is a crucial element in appetite control and the response to surgical treatment for super obesity. However, mechanisms underlying the metabolic response to surgical treatment for morbid obesity are still not clearly specified. AIM: To evaluate and compare the effects of surgical treatment for super obesity by laparoscopic sleeve gastrectomy (LSG) and by laparoscopic Roux-en-Y gastric bypass (LRYGB) on selected incretins and appetite-controlling hormones. MATERIAL AND METHODS: Thirty-five patients were enrolled in a prospective study. Laparoscopic sleeve gastrectomy was performed in 45.8% of patients, and LRYGB in the remaining 54.2% of patients. Before the procedure fasting blood serum was collected from patients and preserved, to determine levels of selected incretins and brain-gut hormones: glucagon-like peptide 1 (GLP-1), peptide YY (PYY), leptin, and ghrelin. RESULTS: Twenty-eight patients came to a follow-up visit 12 months after the surgery. In these patients selected parameters were determined again. The percentage weight loss was 58.8%. The ghrelin levels had decreased, and no statistically significant difference was observed between the two procedures. After both surgical procedures a statistically significant reduction in the leptin level was also observed. Peptide YY levels statistically significantly increased in the whole studied group. The GLP-1 level increased after the surgical procedure. However, the observed change was not statistically significant. CONCLUSIONS: Both treatment methods result in modification of secretion patterns for selected gastrointestinal hormones, and this was considered to be a beneficial effect of bariatric treatment. The laparoscopic sleeve gastrectomy, being a procedure resulting in a metabolic response, seems to be an equally effective method for treatment of super obesity and comorbidities as the laparoscopic gastric bypass