iosr-Jm   Volume-4 ~ Issue-5

Abstract: Calcium dynamics in oocytes plays an important role in oocyte maturation. The calcium concentration is regulated at high levels in oocytes through various mechanisms in order to meet the requiremnts of oocyte maturation. The understanding of these mechanisms are crucial in understanding the processes of reproduction. In this paper an attempt has been made to develop a finite element model of calcium dynamics in oocyte. The model incorporates the parameters like diffusion coefficient, leak from Endoplasmic Reticulum(ER), and buffers namely 1,2-bis(o-aminophenoxy)ethane-N,N,N',N'-tetraacetic acid(BAPTA) and ethylene glycol-bis(2-aminoethylether)-N,N,N',N'-tetraacetic acid(EGTA). The proposed model is solved numerically using appropriate initial and boundary conditions. A program has been developed in MATLAB 7.11 for the entire problem and simulated on a 32-bit machine to compute the numerical results. The effect of BAPTA, EGTA and Leak from ER is studied in the neighbourhood of L-type calcium channel on calcium distribution in oocyte.
Keywords: Finite Element Method, EGTA, BAPTA, ER Leak, Reaction Diffusion Equation

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Abstract:We generalize fifth order mock theta functions of Ramanujan and eighth order mock theta functions of Gordon and McIntosh. We show they are 𝐹𝑞 -functions and give their alternative definition. We give expansion formula and give relationship among these functions. 2000 Mathematics Subject Classification.33D15
Keywords: Bilateral series, mock theta functions.

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Abstract:If M is a differtiable manifold of dimension n,then its cotangent bundle 𝑇∗(M) is a differtiable manifold of dimension 2n[1].In the present paper, complete and horizontal lifts of (1,1) tensor fields of M ,which are tensor fields of same type in 𝑇∗(M) , are studied. The Nijenhuis tensor of complete lift and Integrability of the Hsu-structure in𝑇∗(M) are also studied.

Keywords: Cotangent Bundle,Hsu-structure,differentiable manifold , Complete and horizontal lifts, Integrability.

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