Improved of Approximating Function Li(x)

Let pi(x) be the prime-counting function that gives the number of primes less than or equal to x, for any positive number x and let the approximating function Li(x) denote the off set integral logarithm of x. This function is a good approximation to the number of prime numbers less than x. We propose a simple modification of Li(x) gauss prediction function for reduces of pi(x)-Li(x)

Evaluation of low-dose letrozole addition to ovulation induction in IVF

Purpose: The aim was to investigate the impact of low-dose letrozole usage along with gonadotropin treatment in vitro fertilization (IVF) cycles in comparison to gonadotropin treatment alone. Materials and Methods: Fifty patients were prospectively included in this randomized study and were divided into two groups. Age, demographic features, causes, and period of infertility were adjusted and matched for both groups. Group 1 included 25 patients who received gonadotropin treatment and letrozole along with gonadotropin-releasing hormone (GnRH) antagonist protocol; group 2 included 25 patients who received gonadotropin treatment along with GnRH antagonist protocol. Results: Total follicle-stimulating hormone (FSH) and daily FSH doses were lower in group 1, although not statistically significant (p > 0.05). The period of ovulation induction was significantly shorter in group 2. While numbers of retrieved oocytes and transferred embryos were lower in group 1, they were not statistically significant (p > 0.05). Number of clinical pregnancies per embryo transfer, number of clinical pregnancies per cycle, and number of ongoing pregnancies (> 16 gestational weeks) were similar in both groups (p > 0.05). Conclusions: Addition of low-dose letrozole to gonadotropin treatment in GnRH antagonist protocols may result in a lower dose of gonadotropin administration. However, routine clinical practice remains questionable due to no evident positive effect on pregnancy rates

Relevance of anti-Mullerian hormone on in vitro fertilization outcome

Purpose: The aim of this study was to investigate the relevance of serum and follicular anti-Mullerian hormone (AMH) concentrations on ovarian reserve and clinical pregnancy. Materials and Methods: Thirty patients were prospectively included in this study. Serum AMH levels were quantitatively measured on the follicle aspiration day. Retrieving less than five oocytes was defined as poor response. Eleven days after embryo transfer, beta-human chorionic gonadotropin (beta-hCG) level in the blood was measured. Two weeks after the beta-hCG test, a clinical pregnancy was confirmed by transvaginal ultrasound (TVUS). Results: There was a statistically significant correlation between serum AMH and number of retrieved oocytes (p = 0.024). There was a correlation between the number of retrieved oocytes and baseline antral follicle count (AFC), between ovarian reserve and baseline follicle-stimulating hormone (FSH), and between ovarian reserve and serum AMH (p < 0.05). Serum AMH cut-off value for the normal ovarian reserve was calculated as 0.37ng/m1 (sensitivity 71.43%, specificity 66.67%, positive prediction 83.33%, negative prediction 50%). Conclusion: Increasing use of serum AMH will be of considerable benefit. Consequently, the observed positive correlation between serum AMH and ovarian reserve will require larger sampling to refine the role of AMH

Relevance of thrombophilia and impact of office hysteroscopy on recurrent in vitro fertilization failures: a case series

The study evaluated the validity of office hysteroscopy (OH) in 51 infertile women and whether congenital or acquired thrombophilia is more prevalent in women with recurrent IVF failures

Multicenter Study

NORMALITIES; PREVALENCE; GIRLSObjective: Turner syndrome (TS) is a chromosomal disorder caused by complete or partial X chromosome monosomy that manifests various clinical features depending on the karyotype and on the genetic background of affected girls. This study aimed to systematically investigate the key clinical features of TS in relationship to karyotype in a large pediatric Turkish patient population.Methods: Our retrospective study included 842 karyotype-proven TS patients aged 0-18 years who were evaluated in 35 different centers in Turkey in the years 2013-2014.Results: The most common karyotype was 45, X (50.7%), followed by 45, X/46, XX (10.8%), 46, X, i(Xq) (10.1%) and 45, X/46, X, i(Xq) (9.5%). Mean age at diagnosis was 10.2 +/- 4.4 years. The most common presenting complaints were short stature and delayed puberty. Among patients diagnosed before age one year, the ratio of karyotype 45, X was significantly higher than that of other karyotype groups. Cardiac defects (bicuspid aortic valve, coarctation of the aorta and aortic stenosis) were the most common congenital anomalies, occurring in 25% of the TS cases. This was followed by urinary system anomalies (horseshoe kidney, double collector duct system and renal rotation) detected in 16.3%. Hashimoto's thyroiditis was found in 11.1% of patients, gastrointestinal abnormalities in 8.9%, ear nose and throat problems in 22.6%, dermatologic problems in 21.8% and osteoporosis in 15.3%. Learning difficulties and/or psychosocial problems were encountered in 39.1%. Insulin resistance and impaired fasting glucose were detected in 3.4% and 2.2%, respectively. Dyslipidemia prevalence was 11.4%.Conclusion: This comprehensive study systematically evaluated the largest group of karyotype-proven TS girls to date. The karyotype distribution, congenital anomaly and comorbidity profile closely parallel that from other countries and support the need for close medical surveillance of these complex patients throughout their lifespan.ALI, SAYGIN/0000-0001-6552-2801; Turan, Serap/0000-0002-5172-5402;ozkan, Behzat/0000-0002-9153-8409; Eren, Erdal/0000-0002-1684-1053;binay, cigdem/0000-0002-7749-8818; yuksel, bilgin/0000-0003-4378-3255;gurbuz, fatih/0000-0003-2160-983