Testing Nelder-Mead based repulsion algorithms for multiple roots of nonlinear systems via a two-level factorial design of experiments

This paper addresses the challenging task of computing multiple roots of a system of nonlinear equations. A repulsion algorithm that invokes the Nelder-Mead (N-M) local search method and uses a penalty-type merit function based on the error function, known as 'erf', is presented. In the N-M algorithm context, different strategies are proposed to enhance the quality of the solutions and improve the overall efficiency. The main goal of this paper is to use a two-level factorial design of experiments to analyze the statistical significance of the observed differences in selected performance criteria produced when testing different strategies in the N-M based repulsion algorithm. The main goal of this paper is to use a two-level factorial design of experiments to analyze the statistical significance of the observed differences in selected performance criteria produced when testing different strategies in the N-M based repulsion algorithm.Fundação para a Ciência e Tecnologia (FCT

Hydroalcoholic extract and seed of Foeniculum vulgare improve folliculogenesis and total antioxidant capacity level in F1 female mice offspring

Background: Foeniculum vulgare (fennel) is traditionally suggested for the fertility improvement in Iranian lore due to its antioxidant and phytoestrogen compounds. The present study aimed to investigate the effects of fennel seed and its hydroalcoholic extract on the serum total antioxidant capacity (TAC) and folliculogenesis in offspring exposed to either of the treatments in utero and 56 days after birth (PND 56). Methods: Pregnant NMRI mice were randomly divided into 5 groups of 7: Extract-treated groups received 500 and 1000 mg/kg/day fennel extract (FE), seed-treated groups received 500 and 1000 mg/kg/day fennel seed (FS), and the control group (CTL) received no treatment. The treatments started from pregnancy day 1 and continued until PND 56. Body and right ovary weights and ovary dimensions were recorded. Hematoxylin and eosin stained ovary sections were prepared to calculate the proportion of different follicles. The level of TAC in the serums was also measured by fluorescence recovery after photo bleaching. Results: A marked rise in the body and ovary weights of treated mice was observed compared to the CTL group. The mean number of primordial, primary, pre-antral, and pre-ovulatory follicles as well as corpus luteum size in the treated offspring was significantly higher compared to those of CTL offspring. The atretic follicle number was nonsignificantly lower in either of the treatment groups compared with that in the CTL. However, treatment of animals with 500 mg/kg FE showed a more pronounced effect. Animals in FS500, FE500 and FE1000 groups had a significantly higher level of serum TAC compared to the CTL group. Conclusions: Fennel extract and seed administration in pregnancy and lactation period improve offspring's folliculogenesis. Higher level of TAC in the serum of offspring might have positively altered the folliculogenesis milieu. © 2020 The Author(s)

Evaluation of expression and serum concentration of anti-Mullerian hormone as a follicle growth marker following consumption of fennel and flaxseed extract in first-generation mice pups

Background: The aim of the present study was to assess the expression and serum level of AMH in first-generation female mice pups following fennel and flaxseed consumption. Methods: Twenty pregnant NMRI mice were allocated into four groups including control (CTL), fennel (FV), flaxseed (LU) and FV+ LU. Sixty-four female offsprings after lactation period, received the same regimen as their mothers for 56 and 240 days. The ovarian follicles development, serum concentration of AMH, as well as gene and protein expression of AMH were evaluated in the female offsprings at post-natal day 56 (PND56) and 240 (PND240). Results: The number of total growing follicles were raised in the FV group in compression to the all experimental groups. In contrast, LU group showed a marked decrease in their numbers. The highest level of serum AMH was seen in the FV-diet mice, whereas LU negatively affected it. The expression level of AMH also increased in the FV and FV + LU groups, while a reduction was observed in the LU group. As well, IHC data showed that the number of AMH-positive cells in almost ovarian follicles of FV and FV + LU-treated mice was in compared to those of the LU group. Conclusions: The overall effect of fennel treatment (alone and in combination with flaxseed) on ovary might be maintain primordial follicle storage through increased expression and serum level of AMH. © 2021, The Author(s)

Real life management of chronic urticaria: Multicenter and cross sectional study on patients and dermatologists in Iran

Recently, advances in understanding the etiology of urticaria and updates of diagnostic and therapeutic management guidelines have drawn attention to chronic urticaria (CU) morbidity. The present study aimed to evaluate Iranian dermatologists' practice and real life management of CU patients. A total of 35 dermatologists and 443 patients were included in the study. Number of female patients was 321 (72.5). Mean (standard deviation) age of the study patients was 38 (13) years and the median (inter quartile range) of disease duration was 12 (6�48) months. Severity of patients' symptoms was mild for 32.1, moderate for 38.7, severe for 18.8, and 10.4 of them had no evident signs or symptoms. The most common diagnostic methods were physical examination (96.6), differential blood count (83.5), erythrocyte sedimentation rate (77.4), and C-reactive protein (62.8). The number of dermatologists prescribed nonsedating antihistamines (nsAH) in regular dose and high dose mono therapy were 26 (74) and 6 (17), respectively. About 66 of dermatologists were familiar with British Association of Dermatologists (BAD) guideline. The most common first-line treatment for CU by Iranian dermatologists was nonsedating antihistamines in regular or high doses. The real-life management of patients with CU in Iran was in accordance with the available practice guidelines. © 2018 Wiley Periodicals, Inc