Modified homotopy method to solve non-linear integral equations

Abstract In this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. Almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. But we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as Legendre polynomials, expansion functions, trigonometric functions and etc. In the proposed method we obtain all of the solutions of the non-linear integral equations. For showing ability and validity proposed method we compare our results with some works

Preparation of a Microbial Time-temperature Indicator by Using the Vegetative Form of Bacillus amyloliquefaciens for Monitoring the Quality of Chilled Food Products

Background and Objective: Time-temperature indicators are used in smart packaging, and described as intelligent tools attached to the label of food products to monitor their timetemperature history. Since the previous studies on microbial time-temperature indicators were only based on pH-dependent changes, and they were long-time response indicators, in the present work, a new microbial time-temperature indicator was designed by using the alpha amylase activity of Bacillus amyloliquefaciens vegetative cells.Material and Methods: The designed time-temperature indicator system consists of Bacillus amyloliquefaciens, specific substrate medium and iodine reagent. The relation of the timetemperatureindicator’ response to the growth and metabolic activity (starch consumption and production of reduced sugars) of Bacillus amyloliquefaciens was studied. In addition, the temperature dependence of the time-temperature indicator was considered at 8 and 28˚C. Finally, in order to adjust time-temperature indicator endpoint, the effect of the inoculum level was investigated at 8ºC.Results and Conclusion: In the designed system, a color change of an iodine reagent to yellow progressively occurs due to the starch hydrolysis. The effect of the inoculum level showed the negative linear relationship between the levels of Bacillus amyloliquefaciens inoculated in the medium and the endpoints of the time-temperature indicators. The endpoints were adjusted to 156, 72 and 36 hours at the inoculum levels of 102, 104 and 106 CFU ml-1, respectively. The main advantages of the time-temperature indicator is low cost and application for monitoring the quality of chilled food products.Conflict of interest: The authors declare no conflict of interest

Una visión islámica del conflicto

Nuestro pueblo hizo una revolución y no estaba preparado para la guerra. Cómo se puede decir que el Imán Komeini quería hacer una guerra, si nosotros estábamos en el momento de la reconstrucción del país, entonces nos atacaron, Irán se dirigió al mundo denunciando la agresión, pero no recibimos respuesta, desconocían quien era el agresor y quien se defendía, nosotros nos defendimos durante ocho años, muchas personas murieron.Instituto de Relaciones Internacionales (IRI

Una visión islámica del conflicto

Nuestro pueblo hizo una revolución y no estaba preparado para la guerra. Cómo se puede decir que el Imán Komeini quería hacer una guerra, si nosotros estábamos en el momento de la reconstrucción del país, entonces nos atacaron, Irán se dirigió al mundo denunciando la agresión, pero no recibimos respuesta, desconocían quien era el agresor y quien se defendía, nosotros nos defendimos durante ocho años, muchas personas murieron.Instituto de Relaciones Internacionales (IRI

Evaluation of anti-colitic effect of fluvoxamine against acetic acid-induced colitis in normal and reserpinized depressed rats

High prevalence of psychological comorbidities such as depression and anxiety in patients with inflammatory bowel disease (IBD) supports the premise that adding an anti-depressant drug with known anti-inflammatory effect to the medical treatment have beneficial effect in the course of the underlying disease. Colitis was induced by intracolonic instillation of 2 ml of 4% v/v acetic acid solution in rats. Anti-colitic effect of fluvoxamine was evaluated in two categories: A: normal rats, B: reserpinized (6 mg/kg, i.p.) depressed rats. In group A, fluvoxamine (2.5, 5, 10 mg/kg, i.p.) was administered 2 h after induction of colitis and in group B. reserpine (6 mg/kg, i.p.) was administered 1 h prior to colitis induction and then fluvoxamine (2.5, 5, 10 mg/kg, i.p.) was administered 2 h after colitis induction. Dexamethasone (1 mg/kg) was used as reference drug. All the treatments continued daily for five days. The effect was assessed on the basis of macroscopic score, biochemical (myeloperoxidase) changes and histopathological studies. Results showed that fluvoxamine (2.5 and 5 mg/kg) and dexamethasone treatment markedly reduced disease severity in both reserpinized and non-reserpinized rats as indicated by reduction in macroscopic and microscopic colonic damages while reserpine adversely exacerbated the colitis damage. Myeloperoxidase activity which was increased following colitis induction was also decreased. The findings of this study elucidate the anti-colitic and anti-inflammatory properties of fluvoxamine and so introduced it as a good candidate to treat depressive symptoms in people comorbid to IBD. (C) 2014 Elsevier B.V. All rights reserved

Effect of venlafaxine on experimental colitis in normal and reserpinised depressed rats

Psychological disorders such as depression have more prevalence in inflammatory bowel disease patients and can exacerbate the clinical course of the disease, so anti-depressant therapy may have a potential to positively impact the disease course. On the other hand several antidepressant drugs have shown anti-inflammatory and immunomodulatory properties. Thus, this study aimed to explore the beneficial effects of venlafaxine on experimental colitis in normal and reserpinised depressed rats. Acetic acid colitis was induced in both reserpinised and non-reserpinised rats. Reserpinised groups received reserpine at dose of 6 mg/kg i.p.1 h prior to colitis induction and then treated with venlafaxine at doses of 10, 20, 40 mg/kg given i.p. 2 h after induction of colitis and daily for 4 consecutive days. Non-reserpinised groups treated with 10, 20, 40 mg/kg venlafaxine i.p. 2 h after the induction of colitis and daily for 4 successive days. Dexamethasone (1 mg/kg, i.p.) was used as reference drug. Colonic inflammation was evaluated using macroscopic, histological and myeloperoxidase activity measurements. Results showed that reserpine at dose of 6 mg/kg exacerbated the colitis damage. Compared to acetic acid control, venlafaxine at dose of 40 mg/kg as well as dexamethasone significantly improved colitis parameters in both reserpinised and non-reserpinised animals. Venlafaxine reduced inflammatory injury in this animal model of induced ulcerative colitis. These effects are probably mediated first through depressive behavioral changes that could be mediated through the brain-gut axis and second for the anti-inflammatory effect of the drug

Beneficial Effects of Maprotiline in a Murine Model of Colitis in Normal and Reserpinised Depressed Rats.

Background. Anti-inflammatory and immunomodulatory activities have been reported for maprotiline, a strong norepinephrine reuptake inhibitor. In addition, some other antidepressant drugs have shown beneficial effects in experimental colitis. Methods. All the animals were divided into normal and depressed groups. In normal rats colitis was induced by instillation of 2 mL of 4% acetic acid and after 2 hours, maprotiline (10, 20, and 40 mg/kg, i.p.) was administered. In reserpinised depressed rats, depression was induced by injection of reserpine (6 mg/kg, i.p.), 1 h prior to colitis induction, and then treated with maprotiline (10, 20, and 40 mg/kg). Treatment continued daily for four days. Dexamethasone (1 mg/kg, i.p.) was given as a reference drug. On day five following colitis induction, animals were euthanized and distal colons were assessed macroscopically, histologically, and biochemically (assessment of myeloperoxidase activity). Results. Maprotiline significantly improved macroscopic and histologic scores and diminished myeloperoxidase activity in both normal and depressed rats while reserpine exacerbated the colonic damage. Conclusion. Our data suggests that the salutary effects of maprotiline on acetic acid colitis are probably mediated first through depressive behavioral changes that could be mediated through the brain-gut axis and second for the anti-inflammatory effect of the drug

Solvability of fractional dynamic systems utilizing measure of noncompactness

Fractional dynamics is a scope of study in science considering the action of systems. These systems are designated by utilizing derivatives of arbitrary orders. In this effort, we discuss the sufficient conditions for the existence of the mild solution (m-solution) of a class of fractional dynamic systems (FDS). We deal with a new family of fractional m-solution in Rn for fractional dynamic systems. To accomplish it, we introduce first the concept of (F, ψ)-contraction based on the measure of noncompactness in some Banach spaces. Consequently, we establish requisite fixed point theorems (FPTs), which extend existing results following the Krasnoselskii FPT and coupled fixed point results as a outcomes of derived one. Finally, we give a numerical example to verify the considered FDS, and we solve it by iterative algorithm constructed by semianalytic method with high accuracy. The solution can be considered as bacterial growth system when the time interval is large.&nbsp

Hypocalcemic seizure and related factors after neonatal period; A single-center, retrospective study

      Seizures are the most common disorder of the central nervous system in childhood and constitute a significant number of admissions to the pediatric emergency departments. The aim of this study is evaluate the etiology of hypocalcemic seizures in pediatrics. A single-center, hospital based descriptive study was done in the academic referral center for hypocalcemic seizure of Tehran University of Medical Sciences, Iran. Data was evaluated based on the medical records of each patient. Case files of these children’s were analyzed for age at presentation, sex, weight, clinical features, biochemical parameters (serum calcium, magnesium, phosphorus and alkaline phosphatase) ,type of seizure, history of previous seizure and history of drug intake.  A total 38 children with hypocalcemic seizure, consisting of 19 boys and 19 girls, with ages ranging from one month to 14 years, were enrolled in this study. The most common patterns of seizures were generalized seizures (83.8%). the mean levels of serum alkaline phosphatase was significantly greater in patients under the age of 2 years (1234 ± 541.03) rather above than 7 years of age (922.75 ± 147.45) (p = .021). Rickets was the commonest cause of seizures rickets were diagnosis in  80.8% subjects  under 2 years of age, whereas none of those over 7 years old had not rickets , these  results were statistically significant (p = .015). Current observational study indicates that rickets could be a major cause of hypocalcemic convulsion in infants and children. Screening children presenting with hypocalcemic convulsions for rickets and/or other cause of hypocalcemia can help in early diagnosis and institution of specific therapy.