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Achary, R.,Mathi, G.,Kim, S.,Hwang, J.,Kim, P. Royal Society Chemistry 2018 Organic & Biomolecular Chemistry Vol.16 No.9
<P>Treatment of the trifluoroacetyl enamides of dihydroisoquinolines 2 with diverse Grignard reagents afforded tertiary trifluoromethyl-carbinols 4 by facilitating the addition of tertiary carbinols to the beta-carbon of enamides 2. Based on the confirmed formation of vinylogous amides 3, the transformation likely proceeds via unique acyl group rearrangement to the beta-carbon of the enamide and subsequent nucleophilic addition of the Grignard reagent. Given the synthetic utility and novelty of this reaction, this work may open new avenues for the synthesis of pharmaceutically important tertiary trifluoromethylcarbinols on cyclic enamide systems.</P>
M.salai mathi selvi,G.hariharan 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.3
A mathematical model of dynamic form of the Michaelis-Menten enzy- matic reaction model is discussed. In this paper, we have applied Legendre spectral algorithm for solving the time dependent Michaelis-Menten enzy- matic reaction equations. To the best of our knowledge until there is no rigorous Legendre wavelet solution has been reported for the above men- tioned model. From the Legendre spectral solutions, we are then able to analyze the efficiency of the enzymatic reaction model parameters on the solutions to the dynamic Michaelis-Menten enzymatic reaction equations. The numerical results demonstrate the accuracy and efficiency of the pro- posed spectral approach. The Legendre computational matrix method (LCMM) is shown to be a rather useful and efficient tool for constructing analytical solutions to the dynamic Michaelis-Menten enzymatic reaction equations. Convergence analysis of the proposed method is discussed. Some illustrative examples are given to demonstrate the validity and ap- plicability of the proposed method.