Differentiation is one of the fundamental problems in numerical mathematics. The solution of many optimization problems and other applications require knowledge of the gradient, the Jacobian matrix, or the Hessian matrix of a given function. Automatic differentiation (AD) is an upcoming powerful technology for computing the derivatives accurately and fast. ADMAT (Automatic Differentiation for M...

In this essay we propose a risk protection approach for minimizing a nonlinear unconstrained problem with uncertain parameters. By minimizing the average of second order approximations of the original objective function at p sample values of the parameters, we avoid unsatisfactory results due to unfortunate specification of the unknown parameters. We demonstrate that the computational cost of t...

abstract background: increase in nitric oxide (no) concentration accompanied by alteration in peritoneal immune defense reactions is involved in the pathogenesis of endometriosis. asymmetric dimethylarginine is an endogenous competitive inhibitor of no synthase. this study was designed to compare no metabolite (nitrite), asymmetric dimethylarginine, and estradiol concentrations in serum and per...

Plasma levels of asymmetric dimethylarginine or markers of reactive oxygen species are increased in subjects with risk factors for cardiovascular disease or chronic kidney disease. We tested the hypothesis that reactive oxygen species generate cellular asymmetric dimethylarginine that together cause endothelial dysfunction that underlies the risk of subsequent disease. Rat preglomerular vascula...

Asymmetrical dimethylarginine inhibits nitric oxide synthase, cationic amino acid transport, and endothelial function. Patients with cardiovascular risk factors often have endothelial dysfunction associated with increased plasma asymmetrical dimethylarginine and markers of reactive oxygen species. We tested the hypothesis that reactive oxygen species, generated by nicotinamide adenine dinucleot...

BACKGROUND AND OBJECTIVES Levels of asymmetric dimethylarginine, an inhibitor of nitric oxide synthase, are elevated in kidney disease and associated with mortality in white European hemodialysis populations. Nitric oxide production and degradation are partially genetically determined and differ by racial background. No studies have measured asymmetric dimethylarginine in African Americans on d...

Atherosclerotic coronary heart disease is the leading cause of morbidity and mortality in industrialized countries, and endothelial dysfunction is considered a precursor phenomenon. The nitric oxide produced by the endothelium under the action of endothelial nitric oxide synthase has important antiatherogenic functions. Its reduced bioavailabilty is the beginning of the atherosclerotic process....