This study presents an inventory system where items have an initial linear deterioration rate that transitions to a non-linear pattern, addressing a critical aspect of contemporary supply chain management. Our research introduces a dual warehouse inventory model comprising a rented facility and utilizing an owned warehouse. This unique approach is geared towards products experiencing a shift in deterioration rates, starting linearly and progressing non-linearly. The model operates under a constant demand rate, allowing for partial backlogging during shortages. Key to our analysis are distinct holding costs assigned to each warehouse, reflecting real-world scenarios. We derive conditions that minimize the total cost, supporting these with numerical examples spanning various parameter settings. A comprehensive sensitivity analysis evaluates the influence of each parameter’s alteration, keeping others constant. This analysis illuminates the model’s robustness and adaptability to different operational contexts. The findings offer significant managerial implications, providing valuable insights for effectively managing inventory in scenarios where product deterioration rates change over time. Our approach distinguishes itself by integrating linear and non-linear deterioration patterns within a dual warehouse system, a novel contribution to inventory management literature. The practical relevance of our model is underlined by its applicability in diverse supply chain environments, making it an essential tool for contemporary inventory management strategies.

Aim: The purpose of the study was development and evaluation of Atenolol loaded microsponge in situ gel for the management of ocular hypertension, glaucoma. Materials and Methods: The microsponges were prepared by modified oil in oil emulsion solvent diffusion method. The polymers used for fabrication of microsponges include Ethyl Cellulose and Eudtagit RL-100. Results: The results of particle reveals that the particle size varies from 7.33 to 9.76 mu m, percentage yield ranges from 59.98 to 81.22, entrapment efficiency (%) 58.23 to 80.56 and drug content (%) varies from 54.12 to 82.89. Further, the microsponges were loaded in in situ gel. The in situ gel was fabricated by using Poloxamer 407 and HPMC K4M polymers. The microsponges loaded in situ gel was evaluated for different parameters like pH, viscosity, gelling capacity, gelation temperature and drug release study. The pH varies from 6.83 to 7.43, viscosity ranges from 7421 to 15623 cp, gelation temperature ranges from 37.14 to38.22 degrees C while the drug release ranges from 62.52 to 83.32%. At last, the stability study report indicated that the developed drug loaded microsponge in situ gel were physically and chemically stable over a period of three months. Sterility testing was conducted in the optimized formulations as per Indian Pharmacopoeia. The studies reveal that there was no sign of growth of microorganism. Conclusion: Atenolol loaded microsponge loaded in situ gel can effectively treat Glaucoma and improve the patient compliance.

PDF file - 116K, Structure of the MCT1 inhibitors AR-C122982 (SR13800) and AR-C155858 (SR13801). Cell cycle analysis, viability, clonogenecity and lactate transport in the indicated cells treated with SR13800. Proliferation of MCF7 cells overexpressing MCT1 or MCT4.

This article targets to unriddle the problem of a non -cooperative fully fuzzified 'Zero Sum Two Person Matrix Game' (ZSTPMG) with payoff matrix equipped with Trapezoidal fuzzy numbers (TrFNs). To achieve the target a unique and novel decomposition technique has been introduced. First, we develop two auxiliaries fully fuzzified linear programming problem (FFLPP) models for both the players and then we decompose these two FFLPP models into four linear programming (LP) models each, for both the players. These eight LP models are then solved by using the software TORA-2.0. The solutions of these eight LP models ascertain the optimal strategies and the optimal value of the fully fuzzified ZSTPMG for both the players. Our technique has an advantage over the existing ones as it can solve fully fuzzified ZSTPMG with all kind of TrFNs such as symmetric, asymmetric, positive or negative TrFNs. To establish this fact, the proposed methodology has been illustrated by taking three numericals equipped with various kinds of TrFNs.

This paper addresses the research gap in neutrosophic game theory, specifically the resolution of zero-sum two-person matrix games characterized by single-valued neutrosophic triangular numbers. We introduce a novel de-neutrosophication method leveraging Mellin’s transform to obtain crisp value indices, thereby translating neutrosophic linear programming problems into their crisp counterparts. The effectiveness and precision of our approach are demonstrated through a real-world telecom sector case study, showcasing its potential for yielding more accurate and dependable solutions.

PDF file - 76K, Expression profiling, RNA-seq and MYC chromatin immunoprecipitation analyses of MCT1 in human P493-6 B cells. MCT1, MCT2, MCT3 and MCT4 mRNA levels in Raji BL and MCF7 breast cancer cells.

Many situations involve uncertainty, which we can handle with the help of triangular fuzzy numbers (TFNs). Many scenarios arise in which players in a matrix game cannot reliably estimate their payoffs using crisp numbers, as in real-world scenarios. In these circumstances, TFNs are helpful in game theory. Solving a zero-sum two-player game when all the decision variables and parameters are fuzzy is a worldwide topic of interest to scholars. This article presents a novel solution methodology to solve the zero-sum two-person fully fuzzy matrix game. The payoff matrix, decision variables, and strategies are all taken as TFNs. Two subsidiaries' fully fuzzy linear programming problem (FFLPP) models for both players have been developed to achieve the objective. These two FFLPP models are converted into crisp linear programming problems (LPPs). This procedure uses a ranking approach to the objective function and introduces fuzzy surplus and fuzzy slack variables in constraints. These crisp LPPs are then solved using TORA software (2.0 version) to get optimal strategies and results. The proposed solution methodology in the paper is followed by a real-world example, 'Plastic Ban Problem', and two other examples to prove its applicability and validity.

PDF file - 728K, Immunohistochemistry analyses of MCT1 and MCT4, and survival and tumor analyses of Raji lymphoma and T47D breast cancer cell xenografts.

This paper proposes a new method for solving a two-person zero-sum fuzzy matrix game with goals, payoffs, and decision variables represented as triangular fuzzy rough numbers. We created a pair of fully fuzzy rough linear programming problems for players. Triangular fuzzy rough numbers can be used to formulate two fuzzy linear programming problems for the first player in the form of upper approximation intervals and lower approximation intervals. Two problems for the second player can be created in the same way. These problems have been split into five sub-crisp problems for the player first and five sub-crisp problems for the player second. The solution to the game can be obtained by solving these ten fuzzy linear programming problems. To demonstrate the method, a numerical example is provided. Using Wolfram Cloud, optimal strategies and game values are calculated for various parameters. Sensitivity analysis is carried out by altering the values of parameters.

PDF file - 249K, Expression analysis of glycolytic genes in EMu-Myc B cells and lymphoma versus wild type B cells.

PDF file - 142K, MCT1 inhibition blocks glycolysis in Burkitt lymphoma cells, without affecting the steady state levels of glycolytic enzymes. Schematic of glutathione (GSH) metabolism and levels of components of glutamylcysteine ligase (GCL) in Raji BL cells treated with SR13800.

PDF file - 78K, Effects of combined treatment of SR13800 and metformin on intracellular lactate and proliferation of Raji BL cells, and upon the proliferation of MCT1-expressing lymphoma and breast cancer cells.

PDF file - 366K, MYC, MCT1, MCT2, MCT3 and MCT4 mRNA levels in human tumors and survival analysis of human breast and lung cancer patients expressing high levels of both MYC and MCT1.

Oxygen (O-2) sensing by the carotid body is critical for maintaining cardiorespiratory homeostasis during hypoxia. Hydrogen sulfide (H2S) signaling is implicated in carotid body activation by low O-2. Here, we show that persulfidation of olfactory receptor 78 (Olfr78) by H2S is an integral component of carotid body activation by hypoxia. Hypoxia and H2S increased persulfidation in carotid body glomus cells and persulfidated cysteine(240) in Olfr78 protein in heterologous system. Olfr78 mutants manifest impaired carotid body sensory nerve, glomus cell, and breathing responses to H2S and hypoxia. Glomus cells are positive for G(Olf,) adenylate cyclase 3 (Adcy3) and cyclic nucleotide-gated channel alpha 2 (Cnga2), key molecules of odorant receptor signaling. Adcy3 or Cnga2 mutants exhibited impaired carotid body and glomus cell responses to H2S and breathing responses to hypoxia. These results suggest that H2S through redox modification of Olfr78 participates in carotid body activation by hypoxia to regulate breathing.

PDF file - 332K, Schematic of selection for SR13800 resistance in Raji BL cells and levels of MCT1, MCT4 and LDH in SR13800-resistant cells. Mitotracker green staining of Raji BL cells treated with SR13800 and metformin. Schematic of metabolic pathways that are disrupted by blocking lactate transport through MCT1.

Introduction:: This study aims to use a Quality by Design (QbD) approach to formulate and optimize Trandolapriloro-dispersible tablets. The central composite design tool was utilized to assess the scientific understanding of independent input variables and output responses to construct a design space for regulatory flexibility. Oro-dispersible Tablets (ODT) can also be used to deliver drugs directly to the oral mucosa, bypassing first-pass hepatic metabolism and potentially accelerating the process. Methodology:: The concentrations of super disintegrant and dry compressible binder were selected as independent variables. Disintegration time in seconds and % friability was selected as dependent variables. Polynomial equations were used to predict the quantitative effect of independent variables at various levels on response variables. Results and Discussion: The pre-compression parameters suggested that the flow characteristics were quite excellent. All tablets prepared in the above experiments were evaluated for pharmaco-technical properties and found to be within the required limits using the direct compression method. The angle of repose of the dry blends from each formulation batch (F1 to F9) ranged from 29.03° to 33.67°. All formulation batches had a loose bulk density of 0.31 + 0.07 to 0.37 + 0.91 g/cm3 and a tapped density of 0.41+ 0.02 to 0.46+ 0.16 g/cm3, respectively. The compressibility index was determined to be between 1.65 + 0.17 to 19.93 + 0.47 . Hausner's ratio was between 1.14 + 0.88 to 1.19 + 0.32. The thickness of the tablets ranged from 2.07 + 0.54 to 2.52 + 0.12 mm. The tablets were found to have a hardness of 3.08 + 0.14 to 3.67 + 0.41 kg/cm2. The weight of the tablets prepared ranged from 50 + 0.09 to 52 + 0.56 mg on average. Tablet friability was 0.52 + 0.54 to 0.83 + 0.10 %, and the disintegration time ranged between 27 and 58 seconds. All of these parameters were found under the acceptable limit of pharmacopoeias. The increase of Crospovidone concentration decreased the disintegration time and increased % friability. Whereas increasing the concentration of microcrystalline cellulose increased the disintegration time and decreased the % friability. Contour plots clarified the link between independent and dependent variables. The most cost-effective batch was chosen based on these plots within the desired range because the actual and projected values suggested by the full model were very close to each other; the statistical model is mathematically valid. Conclusion:: The results showed that the proposed design for developing trandolapriloro-dispersible tablets with optimal properties was effective.

This study proposes a novel way to deal with uncertainty in a two-person zero-sum matrix game with payoffs expressed as fuzzy rough numbers. Complete and reasonable solutions to these types of games are obtained. In this research we develop two linear programming models with upper and lower approximation intervals of fuzzy rough numbers and handle multi-objective crisp linear programming models by incorporating trapezoidal fuzzy rough numbers as payoffs. To provide each opponent with the optimal strategy and value of the game, the usual simplex approach is applied. Finally, two numerical examples demonstrate the matrix game outcomes using Wolfram Cloud.