Connection between matrix-product states and superposition of Bernoulli shock measures

We consider a generalized coagulation-decoagulation system on a one-dimensional discrete lattice with reflecting boundaries. It is known that a Bernoulli shock measure with two shock fronts might have a simple random-walk dynamics, provided that some constraints on the microscopic reaction rates of this system are fulfilled. Under these constraints the steady-state of the system can be written as a linear superposition of such shock measures. We show that the coefficients of this expansion can be calculated using the finite-dimensional representation of the quadratic algebra of the system obtained from a matrix-product approach.Comment: 5 page

Finite-dimensional representation of the quadratic algebra of a generalized coagulation-decoagulation model

The steady-state of a generalized coagulation-decoagulation model on a one-dimensional lattice with reflecting boundaries is studied using a matrix-product approach. It is shown that the quadratic algebra of the model has a four-dimensional representation provided that some constraints on the microscopic reaction rates are fulfilled. The dynamics of a product shock measure with two shock fronts, generated by the Hamiltonian of this model, is also studied. It turns out that the shock fronts move on the lattice as two simple random walkers which repel each other provided that the same constraints on the microscopic reaction rates are satisfied.Comment: Minor revision

Controlling group velocity in rectangular-lattice photonic crystal waveguides

A method for controlling the dispersion and thus group velocity of guided modes in photonic crystal (PC) waveguides using bi- and quasi-periodic lattices is presented. Rectangular lattice photonic crystals are proposed as possible candidates for implementing such control. However, these structures, and generally all bi-periodic lattices, develop undesirable characteristics as the perfect square lattice is perturbed. Thus, quasi-periodic photonic crystals, which have been shown to be promising in selective mode engineering, were examined next. A possible scheme for engineering of a single mode PC waveguide with guiding through the entire bandgap is presented

Pathogenesis of Acute Lymphoblastic Leukemia

Acute lymphoblastic leukemia (ALL) is a hematological malignant disease characterized by an enhanced self-renewal ability of precursor lymphoid cells whose cell division takes more time than their normal counterparts. ALL occurs most between 2 to 5 years of age and during the sixth decade of life. There is a strong relationship between the time ALL occurs in children and the genetic abnormalities which are identified by the rate of leukemic concordance between identical twins.About 90% of ALL cases do not have a clear etiological mechanism. Genetic syndromes, polymorphic variants genes, germline mutations, and some environmental factors are responsible for less than 10% of ALL predisposition but the pathogenesis mechanism of ALL is not identified precisely.Here we review the recent findings and earlier studies about the pathogenesis of acute lymphoblastic leukemia and its incidence. This article also summarizes the identification of predictive factors for ALL and options available to predict disease recurrence

Genotoxicity and Histopathology Effects of Melissa officinalis Aqueous Extract on the Blood and Vital Tissues of Oncorhynchus mykiss Fish

Background: This study was conducted to investigate both the genotoxicity effects of M. officinalis aqueous extract on blood cells and the pathologic changes in the renal, cardiac and splenic tissues of Oncorhynchus mykiss. Methods: 300 fish (Oncorhynchus mykiss) were divided randomly into three groups (N=100 each), consisting of group, 1 (control), and groups 2 and 3 (experimental), which received 450 mg/kg and 1350 mg/kg of body weight the aqueous extract of M. officinalis, respectively. The fish were fed for 30 days, with the experimental groups given three treatments. Micronuclei test and comet assay were used to identify the histopathological damages, simultaneously. Results: We found significantly more micronuclei (33%) in erythrocytes of group 3 than those in group 2 (5%; p<0.05). Similarly, the results of comet assay were consistent with those obtained for the micronuclei test. The recorded DNA damages to erythrocytes was significantly higher in group 3 (35.75%) compared to that for group 2 (7.15%; p<0.05). The pathologic findings in the spleen, kidneys and heart tissues together with those obtained from the micronuclei test and comet assay confirmed the tissue and DNA damages after exposure to the extract. Abundant and severe cystic and atrophic glomeruli, renal tubular degeneration, hemorrhage and focal lymphocytic inflammation in heart, and increased melanomacrophage centers in the kidneys and spleen were observed at significantly higher frequency in group 3 than those in group 2 (p<0.05). Conclusion: The findings of this study demonstrated that the extract of M. officinalis at doses higher than 450 mg/kg per body weight caused toxic effects with severe tissue and DNA damages in O. mykiss fish

Predicting spatial and decadal of land use and land cover change using integrated Cellular Automata Markov chain model based scenarios (2019–2049) Zarriné-Rūd River Basin in Iran

Effective land use and land cover (LULC) change assessment requires tools to measure past, current, and based on them to create a future scenario. LULC changes are unavoidable in the world, particularly in developing countries. Since LULC are too dynamic and complicated without the identification of appropriate methods and approaches the future perdition will be less accurate. Therefore, the integrated Cellular Automata Markov chain (CA-Markov) model is known as a capable estimator. In this study, LULC changes in Zarriné-Rūd River Basin (ZRB) in Iran was analyzed based on different images and data extracted from satellite data in 1989 and 2019 to create the LULC scenario in 2049. The model was validated using actual and projected to 2019. The overall agreement on two extracted maps was 97.85% in 1989 and 96.55% in 2019. The more detailed analysis of validation of calibration based on the kappa showed the highest data reliability of 0.98 in 1989 and 0.95 in 2019, respectively. According to the transition matrix of probabilities, the most significant changes in the ZRB based on the past scenario (1989–2019) is in rainfed and built up land classes of LULC in 2049. Concurrently, the other classes continue to decline except irrigated agriculture and water bodies. The results obtained showed that the pasture and mountain LULC class had continued to reduce more than other classes. Furthermore, water resources and the amount of the precipitation in past and future are important to spatial and temporal expansion on LULC classes

Effect of microbial transglutaminase on gelling properties of kiddi shrimp (Parapenaeopsis stylifera) mince

The properties of kiddi shrimp (Parapenaeopsis stylifera) gel added with different levels of microbial transglutaminase (MTGase) (0.6, 1, 1.4 and 1.8 units/g) were studied. Most textural parameters of the gels improved by adding MTGase espacially at higher levels (1.8 and 1.4).The expressible moisture and trichloroacetic acid content declined with the increase in MTGase content. MTGase espacially at higher levels was effective in the color of the gels so that it increased L* and decreased a*andb* value. SDS-PAGE study revealed that myosin heavy chain underwent polymerization to a higher extent in the presence of MTGase. Microstructure of gels added with 1.8 units of MTGase had more ordered fibrillar structure compared with those of gels without MTGase. Therefore it could be concluded that at MTGase play an important role in improving the gel properties of kiddi shrimp mince

The Impact of outlier detection to estimate groundwater fluctuations using GRACE satellite data; Case Study: Khuzestan Province, Iran

Groundwater aquifers are one of the most significant freshwater resources in the world. Hence, the monitoring of these resources is particularly important for available water resources planning. Piezometric wells have traditionally been used to monitor groundwater. This approach is costly and pointwise, which is not feasible for places with steep topography and mountainous areas. Nowadays, remote sensing techniques are widely used in various fields of engineering as appropriate alternatives to traditional methods. In water resources management, the Gravity Recovery and Climate Experiment (GRACE) satellites can monitor groundwater changes with acceptable accuracies. This paper applied the GRACE satellite data for a 40-month period to assess the variation of the groundwater level in Khuzestan province. The Global Land Data Assimilation System (GLDAS) model was used to counteract the soil moisture effect in final results. The observed data from piezometric wells were pre-processed to detect outliers using the Mahalanobis algorithm in Khuzestan province. At last, the outputs of GRACE were compared with these processed observed data. Despite the relatively small size of the area in question, the results indicated the efficiency of GRACE data (RMSE = 0.8, NRMSE = 0.2) for monitoring the groundwater level changes