Experimental and theoretical investigations of the loss of amino acid side chains in electron capture dissociation of model peptides

Loss of side chains from different amino acid residues in a model peptide framework of RGGGXGGGR under electron capture dissociation conditions were systematically investigated, where X represents one of the twenty common amino acid residues. The alpha-carbon radical cations initially formed by N-Calpha cleavage of peptide ions were shown to undergo secondary dissociation through losses of even-electron and/or odd-electron side-chain moieties. Among the twenty common amino acid residues studied, thirteen of them were found to lose their characteristic side chains in terms of odd-electron neutral fragments, and nine of them were found to lose even-electron neutral side chains. Several generalized dissociation pathways were proposed and were evaluated theoretically with truncated leucine-containing models using ab initio calculations at B3-PMP2/6-311++G(3df,2p)//B3LYP/6-31++G(d,p) level. Elimination of odd-electron side chain was associated with the initial abstraction of the hydrogen from the alpha-carbon bearing the side chain by the N-terminal alpha-carbon radical. Subsequent formation of alpha-beta carbon-carbon double bond leads to the elimination of the odd-electron side chain. The energy barrier for this reaction pathway was 89 kJmol-1. This reaction pathway was 111 kJmol-1 more favorable than the previously proposed pathway involving the formation of cyclic lactam. Elimination of even-electron side chain was associated with the initial abstraction of the gamma-hydrogen from the side chain by the N-terminal alpha-carbon radical. Subsequent formation of beta-gamma carbon-carbon double bond leads to the elimination of the even-electron side chain and the migration of the radical center to the alpha-carbon. The energy barrier for this fragmentation reaction was found to be 50 kJmol-1.     

On the convergence of the projected gradient method

We study the projected gradient algorithm for linearly constrained optimization. Wolfe (Ref. 1) has produced a counterexample to show that this algorithm can jam. However, his counterexample is only ¹( ⁿ ), and it is conjectured that the algorithm is convergent for ²-functions. We show that this conjecture is partly right. We also show that one needs more assumptions to prove convergence, since we present a family of counterexamples. We finally give a demonstration that no jamming can occur for quadratic objective functions.This work was supported by the Natural Sciences and Engineering Research Council of Canada     

Functionalization of Testosterone at Position 7α and Synthesis of 7α-(3-Methoxypropyl)-4-androsten-17β-ol-3-one

An efficient transformation of the terminal alkene function of 7α-allyltestosterone is reported along with the stereospecific synthesis of 7α-(3-methoxypropyl)-4-androsten-17β-ol-3-one.     

The reaction mechanism of p-toluenediamine anodic oxidation: an in situ ESR-UV/Vis/NIR spectroelectrochemical study.

In situ ESR-UV/Vis spectroelectrochemistry is applied to obtain new insights into the intermediates and reaction products of the anodic oxidation of p-toluenediamine in aqueous solution at different pH values. A strong pH dependence of the stability of the cation radical is found. While the absence of a stable radical was proved by ESR spectroscopy at pH 2 and 10, this radical is detected at medium pH values and assigned to the semiquinonediimine structure. The UV/Vis absorption of the radical is observed at these pH values as well. The p-toluenediimine intermediate and the trimeric reaction product were followed during the electrode reaction by UV/Vis spectroscopy at all pH values.     

Stable exponential-penalty algorithm with superlinear convergence

A renewed interest in penalty algorithms for solving mathematical programming problems has been motivated by some recent techniques which eliminate the ill-conditioning caused by the convergence to zero of the penalty parameter. These techniques are based on a good identification of the active set of constrainst at the optimum. In this sense, interior penalty methods to be more efficient than exterior ones, but their drawback lies in the need of an interior starting point. We propose in this paper an exponential penalty function which does not need interior starting points, but whose ultimate behavior is just like an interior penalty method. A superlinearly convergent algorithm based on the exponential penalty function is proposed.This research was partially supported by FONDECYT Grant 90-0945, DTI Grant E.3101-9012, and NSERC Grant OGP0005491.     

Selection of a pentameric host in the host-guest complexes [[[[P(mu-NtBu)]2(mu-NH)]5].I]-[Li(thf)4]+ and [[[P(mu-NtBu)]2(mu-NH)]5].HBr.THF

The structures of the host-guest complexes [[[[P(mu-NtBu)]2(mu-NH)]5]I]-.[Li(thf)4]+ [2.I[Li(thf)4]] and [[[P(mu-NtBu)]2(mu-NH)]5].HBr.THF (2.HBr.THF) show that increased distortion of the framework of the pentameric macrocycle [[[P(mu-NtBu)]2(mu-NH)]5] (2) occurs with the larger halide ions. Theoretical studies show that the thermodynamic stabilities of the model host-guest anions [2.X]- (X=Cl, Br, I) are in the order Cl- approximately Br->I-, that is, the reverse of the templating trend observed experimentally. These studies support the view that the selection of the pentamer 2 over the tetramer [[[P(mu-NtBu)]2(mu-NH)]4] (1) is kinetically controlled, a conclusion which is also consistent with the previous observation that the frameworks of 1 and 2 are not in dynamic equilibrium with each other.