We consider the task of filtering the noise from images and other types of inputs which are assumed to be piecewise continuous and piecewise monotone. We show that nonlinear diffusion of the data, a powerful filtering method, is too restrictive for such a case, leading to piecewise constant functions. We claim that the piecewise monotonicity can be enhanced by nonlinear diffusion of first parti...

The epothilones are potent anticancer natural products produced by a polyketide synthase (PKS)-nonribosomal peptide synthetase (NRPS) hybrid involving proteins EpoA-F. The single NRPS module of the epothilone assembly line, EpoB, is a distinct subunit of approximately 160 kDa and consists of four successive domains: cyclization, adenylation, oxidation, and peptidyl carrier protein (Cy-A-Ox-PCP)...

Grassypeptolides A-C (1-3), a group of closely related bis-thiazoline containing cyclic depsipeptides, have been isolated from extracts of the marine cyanobacterium Lyngbya confervoides. Although structural differences between the analogues are minimal, comparison of the in vitro cytotoxicity of the series revealed a structure-activity relationship. When the ethyl substituent of 1 is changed to...

Ion N eda , Vasily P inchuk , H o lg er T hönnessen , P e te r G. Jones, R e in h a rd Schm utzler* Institut für Anorganische und Analytische Chemie der Technischen Universität, Postfach 3329, D-28023 Braunschweig Z. Naturforsch. 51b, 1305-1312 (1996); eingegangen am 4. März 1996 5,6-Benzo-2f/-l-methyl-3-(2’-chloroethyl)-2-oxo-l,3,2A4-diazaphosphorin-4-one, 3-Thiazoline Adducts, Pudovik Reactio...

Based on the local Shannon entropy concept in information theory, a new measure of aromaticity is introduced. This index, which describes the probability of electronic charge distribution between atoms in a given ring, is called Shannon aromaticity (SA). Using B3LYP method and different basis sets (6-31G**, 6-31+G** and 6-311++G**), the SA values of some five-membered heterocycles, C(4)H(4)X, a...

A new formulation of a pose refinement technique using “active” models is described. An error term derived from the detection of image derivatives close to an initial object hypothesis is linearised and solved by least squares. The method is particularly well suited to problems involving external geometrical constraints (such as the ground-plane constraint). We show that the method is able to r...

Four fundamental physical parameters of series of benzene derivatives were studied to ascertain correlations with biological activity. These included octanol/water coefficient, vapor pressure, infrared absorption (out-of-plane C-H vibration), and the pi values. Each physicochemical constant exhibited a partial correlation with biological activity suggesting that each played a role. It was presu...