Bis（ortho—）chelated Monoanionic Bisphosphinoaryl Ruthenium（Ⅱ）Complexes：Synthesis,Characterization and Reactivity

Bisphosphinoaryl ruthenium(Ⅱ）compounds are synthesized using two distinct synthetic routes.One route,direct cycloruthenation,consists of the reaction of the parent arene compound R-PCHP with [RuCl2(PPh3)3]in chlorinated solvents.However,this route suffers from major drawbacks because HCl is formed as well as free triphenylphoshine.The other route,the transcyclometalation reaction,involves the interconversion of one cyclometalated ligand metal complex,[RuCl(NCN)(PPh3)],into another complex,[RuCl(R-PCP)(PPh3)],with concomitant consumption and formation of the corresponding arenes R-PCHP and NCHN,respectively.     

Computing integral solutions of complementarity problems

In this paper an algorithm is proposed to find an integral solution of (nonlinear) complementarity problems. The algorithm starts with a nonnegative integral point and generates a unique sequence of adjacent integral simplices of varying dimension. Conditions are stated under which the algorithm terminates with a simplex, one of whose vertices is an integral solution of the complementarity problem under consideration.     

On H-Linked Graphs

For a fixed multigraph H, possibly containing loops, with V(H)={h₁, . . . , h_k}, we say a graph G is H-linked if for every choice of k vertices v₁, . . . , v_k in G, there exists a subdivision of H in G such that v_i represents h_i (for all i). This notion clearly generalizes the concept of k-linked graphs (as well as other properties). In this paper we determine, for a connected multigraph H and for any sufficiently large graph G, a sharp lower bound on δ(G) (depending upon H) such that G is H-linked.     

Numerical solution of the two-dimensional Poincaré equation

This paper deals with numerical approximation of the two-dimensional Poincaré equation that arises as a model for internal wave motion in enclosed containers. Inspired by the hyperbolicity of the equation we propose a discretisation particularly suited for this problem, which results in matrices whose size varies linearly with the number of grid points along the coordinate axes. Exact solutions are obtained, defined on a perturbed boundary. Furthermore, the problem is seen to be ill-posed and there is need for a regularisation scheme, which we base on a minimal-energy approach.     

Crossed products of C*-algebras by endomorphisms

The concept of a twisted crossed product associated to a non-classical C^*-dynamical system is introduced and studied. The relationship between a covariant projective representation of the system and the corresponding induced representation of the twisted crossed product is investigated, particularly from the point of view of determining when the induced representation is faithful. Conditions are given on the C^*-dynamical system that ensure nuclearity, simplicity or primeness of the twisted crossed product.     

Cysteine Derivatives Protect Against UV-lnduced Reactive Intermediates in Human Keratinocytes: The Role of Glutathione Synthesis

Abstract— Several recent studies have shown cysteine derivatives can protect against negative effects of UV exposure. In this study, an attempt was made to correlate cellular bioavailability and metabolism of cysteine derivatives with protection against UV-induced reactive intermediates. Human keratinocytes were treated with cysteine, N -ace-tylcysteine(NAC), cysteine-ethylester(CYSET) and N- acetylcysteine-ethylester. The uptake of the compounds and their metabolism to cysteine and eventually to glutathione(GSH) was measured. Large differences in uptake were observed, with CYSET resulting in the highest and NAC in the lowest intracellular thiol levels. The increase in intracellular GSH was similar for all derivatives with a maximum of 23-54% over the control level. Protective efficacy of the derivatives was measured as the inhibition of binding of UV-induced reactive intermediates from 8-methoxypsoralen. There was only a small difference between the compounds, with maximum protection of 25-31%. No relation was found between total intracellular thiol and protection. However, for NAC, there was a linear relation between GSH level and protective efficacy (r = 0.94). Even though this was not clear for the other derivatives(r = 0.55 for CYS; r = 0.60 for CYSET; r = 0.70 for NACET), it indicates that GSH synthesis is an important factor.
This was confirmed by experiments using cells with irreversibly inhibited GSH synthesis. Even though the total intracellular thiol level was comparable to uninhibited cells, protection was decreased. We conclude that the intracellular GSH increase is the most important factor in photoprotection by cysteine derivatives.     

Balinski—Tucker simplex tableaus: Dimensions, degeneracy degrees, and interior points of optimal faces

This paper shows the relationship between degeneracy degrees and multiple solutions in linear programming (LP) models. The usual definition of degeneracy is restricted to vertices of a polyhedron. We introduce degeneracy for nonempty subsets of polyhedra and show that for LP-models for which the feasible region contains at least one vertex it holds that the dimension of the optimal face is equal to the degeneracy degree of the optimal face of the corresponding dual model. This result is obtained by means of the so-called Balinski—Tucker (B—T) Simplex Tableaus. Furthermore, we give a strong polynomial algorithm for constructing such a B—T Simplex Tableau when a solution in the relative interior of the optimal face is known. © 1998 The Mathematical Programming Society, Inc. Published by Elsevier Science B.V.     

Convergence properties of relaxation algorithms

Nonadaptive relaxation algorithms require strong continuity assumptions and adaptive relaxation algorithms are computationally costly. To remedy that situation, an anti-jamming procedure similar to the one used by the author for the method of feasible directions is proposed. The resulting algorithms are compared with the existing ones for solving unconstrained optimization problem inE ⁿ .