Abstract:
Head and neck cancer is one of the most prevalent cancers in the world. Roughly half of these malignancies originate from oral mucosa and constitute Oral squamous cell carcinomas. Despite many advances in diagnostic and therapeutic regimens, five year survival rate remains at roughly 50 %, indicating the need for in depth understanding of the oral squamous cell carcinoma immunobiology. We have previously shown that in human dysplastic oral keratinocytes (DOK) and malignant squamous cells carcinoma (SCC-25), multifunctional proteoglycan decorin is aberrantly expressed and localized in the nucleus bound to nuclear EGFR. In vitro nuclear decorin knockdown significantly reduced IL-8 and IL8-dependent migration, invasion and angiogenesis in these cells. Since toll-like receptor (TLR) signalling leads to IL-8 production we examined here if these receptors play a role in decorin silencing mediated reduction in IL-8 levels.
We have used immunological and molecular techniques to study toll-like receptors involvement in attenuated IL-8 production in nuclear decorin silenced (stable knockdown) oral mucosal dysplastic keratinocytes and squamous carcinoma cells.
We show that nuclear decorin silenced DOK and SCC-25 cells show marked diminution of TLR5 mRNA and protein expression compared with respective controls that translated into loss of function in response to appropriate TLR ligand. In these mucosal oral epithelia, decorin stable knockdown significantly down-regulated IL-8 production following activation with TLR5 ligand flagellin. These data suggest that decorin silencing interferes with IL-8 production, in part, by altering TLR5 expression and signaling in dysplastic and malignant oral epithelia. This study highlights the significance of TLR5 expression and signaling in mucosal cancers.

Abstract:
We discuss the uniqueness problem of meromorphic functions sharing one value and obtain two theorems which improve a result of Xu and Qu and supplement some other results earlier given by Yang, Hua, and Lahiri.

Abstract:
with the help of the notion of weighted sharing we investigate the uniqueness of meromorphic functions concerning three set sharing and significantly improve two results of zhang [16] and as a corollary of the main result we improve a result of the present author [2] as well.

Abstract:
With the help of the notion of weighted sharing of sets we deal with the well known question of Gross and prove some uniqueness theorems on meromorphic functions sharing two sets. Our results will improve and supplement some recent results of the present author.

Abstract:
With the help of the notion of weighted sharing we investigate the uniqueness of meromorphic functions concerning three set sharing and significantly improve two results of Zhang [16] and as a corollary of the main result we improve a result of the present author [2] as well. Con la ayuda del concepto de peso repartido, investigamos la unicidad de funciones meromorfas sobre un conjunto compartido y mejoramos significativamente dos resulta- dos de Zhang [16] y como corolario del resultado principal que mejoramos también el resultado de la autora [2].

Abstract:
We examine a generalized script{PT}-Symmetric quartic anharmonic oscillator model to determine the various physical variables perturbatively in powers of a small quantity {\epsilon}. We make use of the Bender-Dunne operator basis elements and exploit the properties of the totally symmetric operator T_{m,n}.

Abstract:
We employ the idea of weighted sharing of sets to find a unique range set for meromorphic functions with deficient values. Our result improves, generalises, and extends the result of Lahiri. Examples are exhibited that a condition in one of our results is the best possible one. 1. Introduction Definitions and Results In this paper by meromorphic functions we will always mean meromorphic functions in the complex plane. It will be convenient to let denote any set of positive real numbers of finite linear measure, not necessarily the same at each occurrence. For any nonconstant meromorphic function we denote by any quantity satisfying We denote by the maximum of and . The notation denotes any quantity satisfying as , . We adopt the standard notations of the Nevanlinna theory of meromorphic functions as explained in [1]. For , we define Let and be two nonconstant meromorphic functions, and let be a finite complex number. We say that and share CM, provided that and have the same zeros with the same multiplicities. Similarly, we say that and share IM, provided that and have the same zeros ignoring multiplicities. In addition we say that and share CM, if and share CM, and we say that and share IM, if and share IM. Let be a set of distinct elements of and , where each point is counted according to its multiplicity. Denote by the reduced form of . If , we say that and share the set CM. On the other hand if , we say that and share the set IM. Evidently, if contains only one element, then it coincides with the usual definition of CM (resp., IM) shared values. Let a set and and be two nonconstant meromorphic (entire) functions. If implies , then is called a unique range set for meromorphic (entire) functions or in brief URSM (URSE). We will call any set a unique range set for meromorphic functions ignoring multiplicity (URSM-IM) for which implies for any pair of nonconstant meromorphic functions. Inspired by Nevanlinna’s 5 and 4 value theorem, in [2, 3], Gross raised the problem of finding out a finite set so that an entire function in the complex plane is determined by the preimage of , where each pre-image of related to some entire function is counted according to its multiplicity. In 1982 Gross and Yang [4] proved the following theorem. Theorem A. Let . If two entire functions and satisfy , then . Noting that the set in Theorem A is an infinite set, we know that Theorem A does not give a solution to the problem of Gross. In 1994 Yi [5] exhibited a URSE with 15 elements, and in 1995 Li and Yang [6] exhibited a URSM with 15 elements and a URSE with 7 elements.

Abstract:
We present here an optimized and parallelized version of the {\sl augmented space recursion code} for the calculation of the electronic and magnetic properties of bulk disordered alloys, surfaces and interfaces, either flat, corrugated or rough, and random networks. Applications have been made to bulk disordered alloys to benchmark our code.

Abstract:
In an earlier communication we have developed a recursion based approach to the study of phase stability and transition of binary alloys. We had combined the recursion method introduced by Haydock, Heine and Kelly and the our augmented space approach with the orbital peeling technique proposed by Burke to determine the small energy differences involved in the discussion of phase stability. We extend that methodology for the study of MnCr alloys.

Abstract:
We investigate bicomplex Hamiltonian systems in the framework of an analogous version of the Schrodinger equation. Since in such a setting three different types of conjugates of bicomplex numbers appear, each is found to define in a natural way, a separate class of time reversal operator. However, the induced parity (P)-time (T)-symmetric models turn out to be mutually incompatible except for two of them which could be chosen uniquely. The latter models are then explored by working within an extended phase space. Applications to the problems of harmonic oscillator, inverted oscillator and isotonic oscillator are considered and many new interesting properties are uncovered for the new types of PT symmetries.