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Search Results: 1 - 10 of 1496 matches for " Aryabrata Basu "
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PerPlot & PerScan: tools for analysis of DNA curvature-related periodicity in genomic nucleotide sequences
Jan Mrázek, Tejas Chaudhari, Aryabrata Basu
Microbial Informatics and Experimentation , 2011, DOI: 10.1186/2042-5783-1-13
Abstract: We present novel tools suitable for assessments of DNA curvature-related sequence periodicity in nucleotide sequences at the genome scale. Utility of the present software is demonstrated on a comparison of sequence periodicities in the genomes of Haemophilus influenzae, Methanocaldococcus jannaschii, Saccharomyces cerevisiae, and Arabidopsis thaliana. The software can be accessed through a web interface and the programs are also available for download.The present software is suitable for comparing DNA curvature-related sequence periodicity among different genomes as well as for analysis of intrachromosomal heterogeneity of the sequence periodicity. It provides a quick and convenient way to detect anomalous regions of chromosomes that could have unusual structural and functional properties and/or distinct evolutionary history.Most naturally occurring DNA sequences feature two strong periodic patterns. The first relates to a 3 bp period resulting from amino acid and codon usage biases in protein coding genes. The second arises from periodic spacing of A-tracts (short runs of A or T) phased with the DNA helical period of ~10.5 bp. The periodically spaced A-tracts are a primary indicator of intrinsically bent DNA and the main component of nucleosome positioning signals in eukaryotes [1-3]. Similar periodic patterns are present in prokaryotes, where they could contribute to DNA packaging in the nucleoid [4,5], promote the appropriate mode of supercoiling [6,7], and/or facilitate the initiation and termination of transcription [8,9]. There are significant differences in the character and intensity of these periodic patterns among different genomes as well as among different segments of the same genome [4,6,7,10]. In some species, the intragenomic heterogeneity of the sequence periodicity has been linked to local variance in gene expression and chromatin structure [4,11,12].Despite the biological significance of DNA curvature-related sequence periodicity, there are virtual
Tabu Search Implementation on Traveling Salesman Problem and Its Variations: A Literature Survey  [PDF]
Sumanta Basu
American Journal of Operations Research (AJOR) , 2012, DOI: 10.4236/ajor.2012.22019
Abstract: The Traveling Salesman Problem (TSP) and its allied problems like Vehicle Routing Problem (VRP) are one of the most widely studied problems in combinatorial optimization. It has long been known to be NP-hard and hence research on developing algorithms for the TSP has focused on approximate methods in addition to exact methods. Tabu search is one of the most widely applied metaheuristic for solving the TSP. In this paper, we review the tabu search literature on the TSP and its variations, point out trends in it, and bring out some interesting research gaps in this literature.
Kinetic Studies on Hexavalent Chromium Reduction  [PDF]
Ankita Basu, Bidyut Saha
American Journal of Analytical Chemistry (AJAC) , 2010, DOI: 10.4236/ajac.2010.11003
Abstract: r(VI) is a known human carcinogen. It is a wide spread environmental contaminant as it is extensively used in different industry. The kinetic study of reduction of Cr(VI) by a known organic substance, 1-butanol in micellar media have been studied spectrophotometrically. The reduction of Cr(VI) to Cr(III) occurs in a micro- heterogeneous system in cell cytoplasm. As micelles are considered to mimic the cellular membranes, the reduction process occurring in the micellar system is considered as a model to obtain insight in to the reduction process prevailing in body systems. Micellar media is also a probe to establish the mechanistic paths of reduction of Cr(VI) to Cr(III) and the effects of some electrolytes common to a biological systems are studied to establish the proposed reaction mechanism strongly. The overall reaction follows a first order dependency on substrate and hexavalent chromium and second order dependency on hydrogen ion. Suitable surfactant & suitable concentration of electrolyte enhance the rate of the reaction.
Unsteady Incompressible Viscoelastic Flow of a Generalised Maxwell Fluid between Two Rotating Infinite Parallel Coaxial Circular Disks  [PDF]
Dhiman Bose, Uma Basu
Open Journal of Fluid Dynamics (OJFD) , 2013, DOI: 10.4236/ojfd.2013.32008
Abstract:

The unsteady incompressible viscous flow of a Generalised Maxwell fluid between two coaxial rotating infinite parallel circular disks is studied by using the method of integral transforms. The motion of the fluid is created by the rotation of the upper and lower circular disks with different angular velocities. A fractional calculus approach is utilized to determine the velocity profile in series form in terms of Mittag-Leffler function. The influence of the fractional as well as the material parameters on the velocity field is illustrated graphically.

Unsteady Incompressible Flow of a Generalised Oldroyed-B Fluid between Two Infinite Parallel Plates  [PDF]
D. Bose, U. Basu
World Journal of Mechanics (WJM) , 2013, DOI: 10.4236/wjm.2013.32012
Abstract:

This paper presents a study of visco-elastic flow of an incompressible generalized Oldroyd-B fluid between two infinite parallel plates in which the constitutive equation involves fractional order time derivative. The solutions of field equations are being obtained for the motion of the said fluid between two parallel plates where the lower plate starts to move with steady velocity and the upper plate remains fixed in the first problem and the upper plate oscillates with constant frequency and the other being at rest in the second problem. The exact solutions for the velocity field are obtained by using the Laplace transform and finite Fourier Sine transform technique in terms of Mittag Leffler and generalised functions. The analytical expression for the velocity fields are derived and the effect of fractional parameters upon the velocity field is depicted graphically.

Unsteady Incompressible Flow of a Generalized Oldroyd-B Fluid between Two Oscillating Infinite Parallel Plates in Presence of a Transverse Magnetic Field  [PDF]
Dhiman Bose, Uma Basu
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.61011
Abstract: In this paper an attempt has been made to study the unsteady incompressible flow of a generalized Oldroyd-B fluid between two oscillating parallel plates in presence of a transverse magnetic field. An exact solution for the velocity field has been obtained by means of Laplace and finite Fourier sine transformations in series form in terms of Mittage-Leffler function. The dependence of the velocity field on fractional as well as material parameters has been illustrated graphically. The velocity fields for the classical Newtonian, generalized Maxwell, generalized second grade and ordinary Oldroyd-B fluids are recovered as limiting cases of the flow considered for the generalized Oldroyd-B fluid.
MHD Fluctuating Flow of Non-Newtonian Fluid through a Porous Medium Bounded by an Infinite Porous Plate  [PDF]
Dhiman Bose, Uma Basu
Applied Mathematics (AM) , 2015, DOI: 10.4236/am.2015.612176
Abstract: In present paper, an investigation has been made on the fluctuating flow of a non-Newtonian second grade fluid through a porous medium over a semi-infinite porous plate in presence of a transverse magnetic field B0. The governing equations have been solved analytically and the expressions for the velocity and stress fields are obtained. The free stream velocity U(t) fluctuates in time about a non-zero constant mean. The effects of the permeability parameter K and magnetic field parameter M on velocity field have been analyzed quantitatively with the help of figures. It is noticed that the velocity field asymptotically approaches free stream velocity as it goes far away from the plate.
Modified BB84 Protocol Using CCD Technology  [PDF]
Subhashree Basu, Supriyo Sengupta
Journal of Quantum Information Science (JQIS) , 2016, DOI: 10.4236/jqis.2016.61004
Abstract: Quantum cryptography and especially quantum key distribution (QKD) is a technique that allocates secure keys only for a short distance. QKD protocols establish secure key by consent of both the sender and receiver. However, communication has to take place via an authenticate channel. Without this channel, QKD is vulnerable to man-in-the-middle attack. While not completely secure, it offers huge advantages over traditional methods by the use of entanglement swapping and quantum teleportation. In our research, we adopt the principle of charge-coupled device (CCD) to transfer the qubit from the sender to the receiver via a quantum channel. This technology has an added advantage over polarizer as only the circuit for transmitting the qubit is sufficient. No extra circuitry to implement the polarizer is required.
Homotopy groups and periodic geodesics of closed 4-manifolds
Samik Basu,Somnath Basu
Mathematics , 2013,
Abstract: Given a simply connected, closed four manifold, we associate to it a simply connected, closed, spin five manifold. This leads to several consequences : the stable and unstable homotopy groups of such a four manifold is determined by its second Betti number, and the ranks of the homotopy groups can be explicitly calculated. We show that for a generic metric on such a smooth four manifold with second Betti number at least three, the number of geometrically distinct periodic geodesics of length at most l grow exponentially as a function of l. The number of closed Reeb orbits of length at most l on the spherization of the cotangent bundle also grow exponentially for any Reeb flow.
Homotopy groups of highly connected manifolds
Samik Basu,Somnath Basu
Mathematics , 2015,
Abstract: In this paper we give a formula for the homotopy groups of $(n-1)$-connected $2n$-manifolds as a direct sum of homotopy groups of spheres in the case the $n^{th}$ Betti number is larger than $1$. We demonstrate that when the $n^{th}$ Betti number is $1$ the homotopy groups might not have such a decomposition. The techniques used in this computation also yield formulae for homotopy groups of connected sums of sphere products and CW complexes of a similar type. In all the families of spaces considered here, we establish a conjecture of J. C. Moore.
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