Differential Transform Method for Solving the Two-dimensional Fredholm Integral Equations

In this paper, we develop the Differential Transform (DT) method in a new scheme to solve the two-dimensional Fredholm integral equations (2D-FIEs) of the second kind. The differential transform method is a procedure to obtain the coefficients of the Taylor expansion of the solution of differential and integral equations. So, one can obtain the Taylor expansion of the solution of arbitrary order and hence the solution of the given equation can be obtained with required accuracy. Here, we first give some basic definitions and properties about DT from references, and then we prove some theorems to extend the DT method for solving the 2D-FIEs. Then by using the DT, the 2D-FIE is converted to a system of linear algebraic equations whose unknowns are the coefficients of the Taylor expansion of the solution. Solving the system gives us an approximate solution. Finally, we give some examples to show the accuracy and efficiency of the presented method

Differential Transform Method for Solving the Two-dimensional Fredholm Integral Equations

Abstract In this paper, we develop the Differential Transform (DT) method in a new scheme to solve the two-dimensional Fredholm integral equations (2D-FIEs) of the second kind. The differential transform method is a procedure to obtain the coefficients of the Taylor expansion of the solution of differential and integral equations. So, one can obtain the Taylor expansion of the solution of arbitrary order and hence the solution of the given equation can be obtained with required accuracy. Here, we first give some basic definitions and properties about DT from references, and then we prove some theorems to extend the DT method for solving the 2D-FIEs. Then by using the DT, the 2D-FIE is converted to a system of linear algebraic equations whose unknowns are the coefficients of the Taylor expansion of the solution. Solving the system gives us an approximate solution. Finally, we give some examples to show the accuracy and efficiency of the presented method

Association of TIM-1 5383-5397ins/del and TIM-3-1541C > T polymorphisms with multiple sclerosis in Isfahan population

Multiple sclerosis (MS) is an organ-specific autoimmune disease in central nervous system, affecting about 2.5 million people around the world. Probable involvement of two newly identified immunoregulator molecules, TIM-1 and TIM-3, has been reported in autoimmune diseases. In this study, for the first time, the association of TIM-1 5383-5397ins/del and TIM-3 -1541C>T polymorphisms with MS in an Iranian population was considered. The results of our study showed that there is no significant association between TIM-1 5383-5397ins/del and MS (P = 0.38); however, the frequency of CT genotype of TIM-3 -1541C>T in patient group was significantly higher than the control group, and there was a significant association between CT genotype and MS (P = 0.009, OR = 4.08)

A novel mutation in SEPN1 causing rigid spine muscular dystrophy 1: A Case report

Abstract Background Muscular dystrophies are a clinically and genetically heterogeneous group of disorders characterized by variable degrees of progressive muscle degeneration and weakness. There is a wide variability in the age of onset, symptoms and rate of progression in subtypes of these disorders. Herein, we present the results of our study conducted to identify the pathogenic genetic variation involved in our patient affected by rigid spine muscular dystrophy. Case presentation A 14-year-old boy, product of a first-cousin marriage, was enrolled in our study with failure to thrive, fatigue, muscular dystrophy, generalized muscular atrophy, kyphoscoliosis, and flexion contracture of the knees and elbows. Whole-exome sequencing (WES) was carried out on the DNA of the patient to investigate all coding regions and uncovered a novel, homozygous missense mutation in SEPN1 gene (c. 1379 C > T, p.Ser460Phe). This mutation has not been reported before in different public variant databases and also our database (BayanGene), so it is classified as a variation of unknown significance (VUS). Subsequently, it was confirmed that the novel variation was homozygous in our patient and heterozygous in his parents. Different bioinformatics tools showed the damaging effects of the variant on protein. Multiple sequence alignment using BLASTP on ExPASy and WebLogo, revealed the conservation of the mutated residue. Conclusion We reported a novel homozygous mutation in SEPN1 gene that expands our understanding of rigid spine muscular dystrophy. Although bioinformatics analyses of results were in favor of the pathogenicity of the mutation, functional studies are needed to establish the pathogenicity of the variant

Designing the Future: An Intelligent System for Zero-Mile Food Production by Upcycling Wastewater

The project deals with the environmental problem of water consumption. The aim of this work is to experiment the recycling of dishwasher wastewater through its reuse in growing edible vegetables or ornamental plants; this can also accomplish the valorization of nutrients present in the wastewater. This new process allows to ensure washing functions coupled with vegetables production and to affect users’ environmental awareness and habits, following a user-centered system design approach to understand the users and involve them actively in the system development. The presented work is also aimed to experiment a multidisciplinary approach in order to face environmental problems

Revitalization of Cultural and Aesthetical Assets of Iranian Traditional Bazaar

In recent decades, modernization is extensively changing the face of Iranian cities. Besides, urban places are losing their traditional features, identity and cultural characteristics. Conservation of cultural heritage resources rescued historical parts of the cities; hence, other traditional urban spaces do not receive enough attention and protection due to economic concerns. Mashhad, as one of the main religious touristic destinations in Iran, is unfortunately losing its traditional features due to extensive attractions of physical transformations. Economic profits fascinating constructions into the city center of Mashhad, specially surrounding areas of the holly shrine. This issue has been led to demolishment of the old texture of the city center. Sarshoor bazaar is one of rescued traditional urban public spaces in city center of Mashhad with characteristics of an Iranian ancient bazaar.  This study mainly focuses on cultural and aesthetical patterns of traditional Iranian bazaars in order to provide a conceptual strategy for revitalization of Sarshoor bazaar. To this aim, a theoretical review is provided through main representative factors of cultural landscape to decide about a proper strategy for improving cultural quality of the selected case study. We also provide a practical analysis through social and behavioral patterns of the citizens and pilgrims in public spaces to realize material and immaterial features of Sarshoor bazaar, and consequently, find out any possible opportunity of improving tangible and intangible characteristics of this case study area. To capture cultural landscape qualities of Sarshoor bazaar, a final design is provided to envelope a light traditional surface representing the visual landscape of the bazaar. Main passage and piazzas are also equipped for the movements of pilgrims and setting up annual traditional and social events

Comparison of Different Image Processing Methods for Segregation of Peanut (Arachis hypogaea L.) Seeds Infected by Aflatoxin-Producing Fungi

Fungi such as Aspergillus flavus and Aspergillus parasiticus are molds infecting food and animal feed, are responsible for aflatoxin contamination, and cause a significant problem for human and animal health. The detection of aflatoxin and aflatoxigenic fungi on raw material is a major concern to protect health, secure food and feed, and preserve their value. The effectiveness of image processing, combined with computational techniques, has been investigated to detect and segregate peanut (Arachis hypogaea L.) seeds infected with an aflatoxin producing fungus. After inoculation with Aspergillus flavus, images of peanuts seeds were taken using various lighting sources (LED, UV, and fluorescent lights) on two backgrounds (black and white) at 0, 48, and 72 h after inoculation. Images were post-processed with three different machine learning tools: the artificial neural network (ANN), the support vector machine (SVM), and the adaptive neuro-fuzzy inference system (ANFIS) to detect the Aspergillus flavus growth on peanuts. The results of the study show that the combination of LED light and a white background with ANN had 99.7% accuracy in detecting fungal growth on peanuts 72 h from infection with Aspergillus. Additionally, UV lights and a black background with ANFIS achieve 99.9% accuracy in detecting fungal growth on peanuts 48 h after their infection with Aspergillus

Thermodynamics of Boron Arsenide Crystal Growth and Characterizations

Diamond has been known as the best material for conducting heat for decades, but it is scarce, and the synthetic production of diamond is very expensive, slow growth rates, and low quality and has a different thermal expansion rate when it is paired with a semiconductor device. Recently, cubic Boron Arsenide (c-BAs) has represented a new class of high thermal conductivity by both calculations and experimental efforts. Calculation shows the ultrahigh thermal conductivity value of 1400 W m-1 K-1 in BAs at room temperature which is the highest thermal conductivity among semiconductor materials. In this work, BAs single crystal growth with the optimization of chemical vapor transport (CVT) method has been studied and the grown crystals has shown the thermal conductivity value up to 1300 W m-1 K-1. The average lattice constant and density of BAs single crystal was also measured as 4.79 ± 0.01 Å and 5.182 (g cm-3), respectively. Moreover, the reported high thermal conductivity of boron arsenide (BAs) has prompted scientists to characterize the various properties of this material. Thermodynamic data for the enthalpy (H), entropy (S), and Gibbs free energy (G) of BAs were previously predicted from theory. Here, its thermodynamic properties were determined from experimental measurements of its heat capacity (Cp) over the temperature range of 298 to 1200 K and compared with the predicted data. The thermodynamic properties of BAs at 800 K were calculated to be H =-8.6 kJ mol-1, S =81.0 J mol-1 K-1, and G =-73.4 kJ mol-1, and we found that its formation reaction becomes endothermic at 984 K. We also analyzed the experimental findings from growing BAs single crystals (SCs) by the chemical vapor transport (CVT) method. Thermodynamic concepts were applied to show that iodine is the most suitable transport agent among the halogens for obtaining BAs SCs by CVT. Additionally, three different combinations of precursors were employed during BAs SC growth by CVT. The three approaches are described in terms of differences in partial pressure of gaseous species, and their results are compared for possible optimization of the BAs SC growth process by CVT.Mechanical Engineering, Department o