THE ''Q-BAND'' ABSORPTION spECTRA OF HEMATOPORPHYRIN MONOMER AND AGGREGATE IN AQUEOUS SOLUTION

Abstract The resolution of the absorption spectra in the Q band (480 nm-620 nm) spectral region of monomeric and dimeric hematoporphyrin species present in aqueous solutions has been achieved using absorption, fluorescence and computer analysis methods. The absorption maxima of the dimer in this spectral region are red shifted about 12 nm with respect to those of the monomer. The significance of this finding in relationship to the well documented blue shift of hematoporphyrin aggregate observed in the Soret band region (λ_malx∼400 nm) of the absorption spectrum is discussed.     

Simultaneous Iteration for Partial Eigensolution of Real Matrices

Simultaneous iteration methods are presented for obtaining dominanteigenvalues and corresponding eigenvectors of real unsymmetricmatrices. These methods involve the accurate eigensolution ofthe smaller interaction matrix at each iteration, the dimensionsof which depend on the number of vectors processed simultaneously.A bi-iteration procedure is proposed when both left and righteigenvectors are required, and a lopsided iteration procedurewhen only one set of eigenvectors is required. Numerical testsare discussed.     

New perturbation analyses for the Cholesky factorization

We present new perturbation analyses for the Cholesky factorizationA = R^T R of a symmetric positive definite matrix A. The analysesmore accurately reflect the sensitivity of the problem thanprevious normwise results. The condition numbers here are alteredby any symmetric pivoting used in PAP^T = R^TR, and both numericalresults and an analysis show that the standard method of pivotingis optimal in that it usually leads to a condition number veryclose to its lower limit for any given A. It follows that thecomputed R will probably have greatest accuracy when we usethe standard symmetric pivoting strategy. Initially we give a thorogh analysis to obtain both first-orderand strict normwise perturbation bounds which are as tight aspossible, leading to a definition of an optimal condition numberfor the problem. Then we use this approach to obtain reasonablyclear first-order and strict componentwise perturbation bounds. We complete the work by giving a much simpler normwise analysiswhich provides a somewhat weaker bound, but which allows usto estimate the condition of the problem quite well with anefficient computation. This simpler analysis also shows whythe factorization is often less sensitive than we previouslythought, and adds further insight into why pivoting usuallygives such good results. We derive a useful upper bound on thecondition of the problem when we use pivoting. This research was supported by the Natural Sciences and EngineeringResearch Ciuncil of Canada Grant OGP0009236. This research was supported in part by the US National ScienceFoundation under grant CCR 95503126.     

NaCl对水稻谷氨酰胺合成酶活性及同工酶的影响

在营养液中 Ｎａ Ｃｌ的胁迫下,水稻根和叶的谷氨酰胺合成酶（ Ｇ Ｓ）的活性降低,但叶的 Ｇ Ｓ活性对 Ｎａ Ｃｌ浓度的敏感性大于根根和叶中的 Ｇ Ｓ活性变化与根和叶的平均质量和可溶性蛋白水平的变化是一致的 Ｎａｔｉｖｅ Ｐ Ａ Ｇ Ｅ活性染色以及 Ｉｍ ｍ ｕｎｏｂｌｏｔｔｉｎｇ 检测表明,根和叶的 Ｇ Ｓ活性的降低主要是由于 Ｇ Ｓｒｂ 和 Ｇ Ｓ２的活性及其相应蛋白质水平降低所致     

The Effects of Rounding Error on an Algorithm for Downdating a Cholesky Factorization

Let the positive definite matrix A have a Cholesky factorizationA= R^TR. For a given vector xsuppose that ? =A - xx^T has a Choleskyfactorization ? = ^T.This paper considers an algorithm for computing from R and x and an extension for removing a row from the QR factorizationof a regression problem. It is shown that the algorithm is stablein the presence of rounding errors. However, it is also shownthat the matrix can be a very ill-conditioned function of R and x.     

On the perturbation of LU and Cholesky factors

In a recent paper, Chang and Paige have shown that the usualperturbation bounds for Cholesky factors can systematicallyoverestimate the errors. In this note we sharpen their resultsand extend them to the factors of the LU decomposition. Theresults are based on a new formula for the first-order termsof the error in the factors. ^* This report is available by anonymous ftp from thales.cs.umd.eduin the directory pub/reports.     

Comparison among three anion exchange chromatographic supports to capture erythropoietin from cell culture supernatant Lourdes

Affinity and ion exchange conventional chromatography have been used to capture erythropoietin (EPO) from mammalian cell culture supernatant. Currently, chromatographic adsorbent perfusion is available, however a limited number of applications have been found in the literature. In this work, three anion exchange chromatographic supports (gel, membrane and monolithic) were evaluated in the capture step of the recombinant erythropoietin purification process. The influences of load and flow rate on each support performance were analyzed. Also the purity of the EPO molecules was determined. A productivity analysis, as a decision tool for larger scale implementation, was done. As a conclusion, the evaluated supports are technically suitable to capture EPO with adequate recovery and good purity. However, the monolithic column admits high operating velocity, showing the highest adsorption capacity and productivity.