R. Bhattacharyya

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A mathematical model describing the biochemical interactions of the luteinizing hormone (LH), luteinizing hormone–releasing hormone (LHRH), and testosterone (T) is presented. The model structure consists of a negative feedback mechanism with transportation and secretion delays of different hormones. A comparison of stability and bifurcation analysis in the(More)
We derive a product rule satisfied by restricted Schur polynomials. We focus mostly on the case that the restricted Schur polynomial is built using two matrices , although our analysis easily extends to more than two matrices. This product rule allows us to compute exact multi-point correlation functions of restricted Schur polynomials, in the free field(More)
The study of brane intersections has provided important insights into a possible non-commutative structure of spacetime geometry. In this paper we focus on the D1⊥D3 system. We compare the D1 and D3 descriptions of the interesection and search for non-static solutions of the D3⊥D1 funnel equations in the presence of a worldvolume electric field. We find(More)
A mathematical model consisting two harmful phytoplankton and zooplankton with discrete time lags in the mortality of zooplankton due to liberation of toxic substances by harmful phytoplankton has been considered. A stable coexistence of all the species has been observed for no-delay situation. Introduction of single delay in the system cause recurrent(More)
We apply the spacetime dependent lagrangian formalism [1] to the action in general relativity. We obtain Barriola-Vilenkin [B-V] [2] type of topological solution by exploiting the electro-gravity duality [4] of the vacuum Einstein equations. The monopole mass M is shown to be of order a/G with a/2G < M < a/G, a a small positive constant and G Newton's(More)