Derivatives of (2R,3R,4S)-2-Aminomethylpyrrolidine-3,4-diol are Selective alpha-Mannosidase Inhibitors
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The present invention relates to benzothiophene, benzyloxybenzylidene and indoline-2-one derivatives and the use of said derivatives in the treatment and/or prevention of tuberculosis. ...
2-homopiperazine-1-yl-4H-l, 3 -bensothiazine-4-one derivatives of formula (I) are provided. They are useful in the treatment of bacterial infections, in particular tuberculosis, buruli ulcer and leprosy. A process for the preparation of 2- (homo)piperazine ...
Lower and upper bounds for a given function are important in many mathematical and engineering contexts, where they often serve as a base for both analysis and application. In this short paper, we derive piecewise linear and quadratic bounds that are state ...
We show that Li's criterion equivalent to the Riemann hypothesis, i.e., the statement that the sums k(n) = Sigma(rho)(1-(1-1/rho)(n)) over zeros of the Riemann xi-function and the derivatives lambda(n) equivalent to 1/(n-1)! d(n)/dz(n)(z(n-1) ln (xi(z)))ve ...
We consider the hyperboloidal initial value problem for the cubic focusing wave equation (-partial derivative(2)(t) + Delta(x))nu(t, x) + nu(t, x)(3) = 0, x is an element of R-3 Without symmetry assumptions, we prove the existence of a codimension-4 Lipsch ...
A series of thiolate gold(I) derivatives bearing water soluble phosphanes - namely sodium triphenylphosphane monosulfonate (TPPMS), sodium triphenylphosphane trisulfonate (TPPTS), 1,3,5-triaza-7-phosphaadamantane (PTA) and 3,7-diacetyl-1,3,7-triaza-5-phosp ...
We report the total synthesis of a series of pyrrolizidine analogues of casuarine (1) and their 6-O-alpha-glucoside derivatives. The synthetic strategy is based on a totally regio- and stereoselective 1,3-dipolar cycloaddition of suitably substituted alken ...
The present invention relates proteins from the group consisting of CNNM1, CNNM2, CNNM 3 and CNNM4, its derivatives or fragments thereof for use as a medicament, for treatment and or diagnostic purposes. The invention further relates to a human genomic DNA ...
Criteria for the bifurcation of small solutions of an equation F(lambda,u) = 0 from a line {(lambda,0): lambda is an element of R} of trivial solutions are usually based on properties of the DuF(lambda,0) at the trivial solutions, where the partial derivat ...
We propose a discontinuous Galerkin method for convection-subdiffusion equations with a fractional operator of order alpha [1,2] defined through the fractional Laplacian. The fractional operator of order alpha is expressed as a composite of first order der ...
Society for Industrial and Applied Mathematics2014
