https://www.selleckchem.com/products/2-nbdg.html Analytic energy gradients with respect to nuclear coordinates for an exact exchange-only (EXX) Kohn-Sham method are presented. In the underlying EXX method, the exact exchange potential is obtained as the electrostatic potential of an exchange charge density, which is determined via the optimized effective potential method. Parts of the presented calculation of analytic EXX energy gradients can be reused for analytic energy gradients in self-consistent Kohn-Sham methods treating correlation via the adiabatic-connection fluctuation-dissipation theorem, e.g., methods relying on the random phase approximation. A version of the analytic EXX energy gradients that uses density-fitting is shown to be highly efficient. The accuracy of the analytic energy gradients is tested by comparison with numerically calculated gradients.For a standard model of patchy colloidal fluids with patch number M = 2, where chain formation (polymerization) occurs, we show that Wertheim theory predicts critical behavior at vanishing density and temperature. The analysis is based on determining lines in the phase diagram of maximal correlation length and compressibility. Simulation studies identify the latter line and confirm our prediction of Fisher-Widom crossover, i.e., the asymptotic decay of the pair correlation function changes from monotonic to damped oscillatory as the density is increased. For M > 2, it is known that phase separation occurs with a true critical point. Our results support the notion that a "disappearing" critical point occurs in the limit M = 2 and we uncover its remnants.BACKGROUND The aim of this pilot study was to evaluate the effects of Pycnogenol® and CA (Centellicum®) on penile fibrosis and on associated signs and symptoms. METHODS A group of 82 subjects with penile nodules and plaques was included in this registry study and followed up for 3 months; 32 were managed with standard management (SM) only. Twenty-four were