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NOTE ON SOME CHARACTER FORMULAS
Chaudhary, Mahendra Pal,Chaudhary, Sangeeta,Choi, Junesang The Honam Mathematical Society 2016 호남수학학술지 Vol.38 No.4
Chaudhary and Choi [7] presented 14 identities which reveal certain interesting interrelations among character formulas, combinatorial partition identities and continued partition identities. In this sequel, we aim to give slightly modified versions for 8 identities which are chosen among the above-mentioned 14 formulas.
NOTE ON SOME CHARACTER FORMULAS
( Mahendra Pal Chaudhary ),( Sangeeta Chaudhary ),( Junesang Choi ) 호남수학회 2016 호남수학학술지 Vol.38 No.4
Chaudhary and Choi [7] presented 14 identities which reveal certain interesting interrelations among character formulas, combinatorial partition identities and continued partition identities. In this sequel, we aim to give slightly modified versions for 8 iden- tities which are chosen among the above-mentioned 14 formulas.
Pleiotropic Roles of Metalloproteinases in Hematological Malignancies: an Update
Chaudhary, Ajay K,Chaudhary, Shruti,Ghosh, Kanjaksha,Nadkarni, A Asian Pacific Journal of Cancer Prevention 2016 Asian Pacific journal of cancer prevention Vol.17 No.7
Controlled remodeling of the extracellular matrix (ECM) is essential for cell growth, invasion and metastasis. Matrix metalloproteinases (MMPs) are a family of secreted, zinc-dependent endopeptidases capable of degradation of ECM components. The expression and activity of MMPs in a variety of human cancers have been intensively studied. They play important roles at different steps of malignant tumor formation and have central significance in embryogenesis, tissue remodeling, inflammation, angiogenesis and metastasis. However, increasing evidence demonstrates that MMPs are involved earlier in tumorigenesis. Recent studies also suggest that MMPs play complex roles in tumor progression. MMPs and membrane type (MT)-MMPs are potentially significant therapeutic targets in many cancers, so that designing of specific MMP inhibitors would be helpful for clinical trials. Here, we review the pleiotropic roles of the MMP system in hematological malignancies in-vitro and in-vivo models.
Chaudhary, Ajay K,Chaudhary, Shruti,Ghosh, Kanjaksha,Shanmukaiah, Chandrakala,Nadkarni, Anita H Asian Pacific Journal of Cancer Prevention 2016 Asian Pacific journal of cancer prevention Vol.17 No.3
Background: Matrix metalloproteinase -2 (gelatinase-A, Mr 72,000 type IV collagenase, MMP-2) and -9 (gelatinase-B, Mr 92,000 type IV collagenase, MMP-9) are key molecules that play roles in tumor growth, invasion, tissue remodeling, metastasis and stem-cell regulation by digesting extracellular matrix barriers. MMP-2 and -9 are well known to impact on solid cancer susceptibility, whereas, in hematological malignancies, a paucity of data is available to resolve the function of these regulatory molecules in bone marrow mononuclear cells (BM-MNCs) and stromal cells of myelodysplastic syndrome (MDS) and acute myeloid leukemia (AML). Objectives: The present study aimed to investigate mRNA expression and gelatinase A and B secretion from BM-MNCs in vitro and genotypic associations of MMP-2 (-1306 C/T; rs243865), MMP-9 (-1562 C/T; rs3918242), tissue inhibitor of metalloproteinase -1 (TIMP-1) (372T/C; rs4898, Exon 5) and TIMP-2 (-418G/C; rs8179090) in MDS and AML. Results: The study covered cases of confirmed MDS (n=50), AML (n=32) and healthy controls (n=110). MMP-9 mRNA expression revealed 2 fold increased expression in MDS-RAEB II and 2.5 fold in AML M-4 (60-70% blasts). Secretion of gelatinase-B also revealed the MMP-9 mRNA expression and ELISA data also supported these data. We noted that those patients having more blast crises presented with more secretion of MMP-9 and its mRNA expression. In contrast MMP-9 (-1562 C/T) showed significant polymorphic associations in MDS (p<0.02) and AML (p<0.02). MMP-9 mRNA expression of C/T and T/T genotypes were 1.5 and 2.5 fold increased in MDS and AML respectively. In AML, MMP-2 C/T and T/T genotypes showed 2.0 fold mRNA expression. Only MMP-9 (-1306 C/T) showed significant 4 fold (p<0.001) increased risk with chemical and x-ray exposed MDS, while tobacco and cigarette smokers have 3 fold (p<0.04) risk in AML. Conclusions: In view of our results, MMP-9 revealed synergistic secretion and expression in blast crises of MDS and AML with 'gene' polymorphic effects and is significantly associated with increased risk with tobacco, cigarette and environmental exposure. Release and secretion of these enzymes may influence hematopoietic cell behavior and may be important in the clinical point of view. It may offer valuable tools for diagnosis and prognosis, as well as possible targets for the treatments.
Chaudhary, M.P.,Choi, Junesang The Youngnam Mathematical Society 2016 East Asian mathematical journal Vol.32 No.5
Folsom [10] investigated character formulas and Chaudhary [7] expressed those formulas in terms of continued fraction identities. Andrews et al. [2] introduced and investigated combinatorial partition identities. By using and combining known formulas, we aim to present certain interrelationships among character formulas, combinatorial partition identities and continued partition identities.
Chaudhari, Ajay,Chaudhari, H.C.,Mehrotra, S.C. Korean Chemical Society 2004 Bulletin of the Korean Chemical Society Vol.25 No.9
Dielectric relaxation measurements on 3-nitrotoluene (3-NT) mixture of dimethylacetamide (DMA), dimethylformamide (DMF) and dimethysulphoxide (DMSO) have been carried out across the entire concentration range using Time domain reflectometry technique at 15, 25, 35 and $45^{\circ}C$ over the frequency range from 10 MHz to 20 GHz. For all the mixtures, only one dielectric loss peak was observed in this frequency range and the relaxation in these mixtures can be well described by a single relaxation time using Debye model. Bilinear calibration method is used to obtain complex permittivity ${\varepsilon}^{*}({\omega})$ from complex reflection coefficient ${\rho}^{*}({\omega})$ over frequency range 10 MHz to 20 GHz. The excess permittivity, excess inverse relaxation time, Kirkwood correlation factor, molar energy of activation are also calculated for these mixtures to study the solute-solvent interaction.
Optimal design of planar slider-crank mechanism using teaching-learning-based optimization algorithm
Kailash Chaudhary,Himanshu Chaudhary 대한기계학회 2015 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.29 No.12
In this paper, a two stage optimization technique is presented for optimum design of planar slider-crank mechanism. The slidercrankmechanism needs to be dynamically balanced to reduce vibrations and noise in the engine and to improve the vehicle performance. For dynamic balancing, minimization of the shaking force and the shaking moment is achieved by finding optimummass distribution of crank and connecting rod using the equimomental system of point-masses in the first stage of the optimization. In the second stage, their shapes are synthesized systematically by closed parametric curve, i.e., cubic B-spline curve correspondingto the optimum inertial parameters found in the first stage. The multi-objective optimization problem to minimize boththe shaking force and the shaking moment is solved using Teaching-learning-based optimization algorithm (TLBO) and its computationalperformance is compared with Genetic algorithm (GA).
Dynamic balancing of planar mechanisms using genetic algorithm
Kailash Chaudhary,Himanshu Chaudhary 대한기계학회 2014 JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY Vol.28 No.10
This paper presents an optimization technique to dynamically balance the planar mechanisms in which the shaking forces and shakingmoments are minimized using the genetic algorithm (GA). A dynamically equivalent system of point-masses that represents each rigidlink of a mechanism is developed to represent link’s inertial properties. The shaking force and shaking moment are then expressed interms of the point-mass parameters which are taken as the design variables. These design variables are brought into the optimizationscheme to reduce the shaking force and shaking moment. This formulates the objective function which optimizes the mass distribution ofeach link. First, the problem is formulated as a single objective optimization problem for which the genetic algorithm produces betterresults as compared to the conventional optimization algorithm. The same problem is then formulated as a multi-objective optimizationproblem and multiple optimal solutions are created as a Pareto front by using the genetic algorithm. The masses and inertias of the optimizedlinks are computed from the optimized design variables. The effectiveness of the proposed methodology is shown by applying it toa standard problem of four-bar planar mechanism available in the literature.