Protein conjugates of pyridoxal have been used to elicit anti-vitamin B6 antibodies in rabbits. These antibodies have been incorporated into 2 homogeneous assays systems, a spin immunoassay, using a paramagnetic derivative of the vitamin as ligand, and a fluorescence enzyme immunoassay, using beta-galactosidase conjugated to vitamin B6 as the indicator molecule. These assay systems do not requi...

In the present paper, we analyze the effect of varying catastrophic intensity on a limited capacity Markovian queueing system with two identical servers. The time dependent probabilities for the number in the system are obtained. The steady state probabilities and various measures of performance are also provided. Further some important particulars cases are also derived and discussed.

We study the problem of bringing a nonlinear single-input system to a normal form. We follow an approach of Kang and Krener based on studying, step by step, the action of homogeneous transformations on homogeneous terms of the system. The first part of the paper deals with systems whose linearization is controllable. We give explicit transformations bringing the system to a normal form proposed...

We study the feedback group action on single-input nonlinear control systems. We follow an approach of Kang and Krener based on analysing, step by step, the action of homogeneous transformations on the homogeneous part of the system. We construct a dual normal form and dual invariants with respect to those obtained by Kang. We also propose a canonical form and show that two systems are equivale...

which is a symplectic analog of the well-known de Rham–Hodge ∗operator on oriented Riemannian manifolds: one should use the symplectic form instead of the Riemannian metric. Going further, one can define operator δ = ± ∗ d∗, δ = 0. The form α is called symplectically harmonic if dα = 0 = δα. However, unlike de Rham–Hodge case, there exist simplectically harmonic forms which are exact. Because o...

We consider the Ricci flow for simply connected nilmanifolds, which translates to a Ricci flow on the space of nilpotent metric Lie algebras. We consider the evolution of the inner product with respect to time and the evolution of structure constants with respect to time, as well as the evolution of these quantities modulo rescaling. We set up systems of O.D.E.’s for some of these flows and des...