一种基于免疫识别的主因子数判断方法

根据免疫算法的基本思想,提出了一种基于免疫识别(IR)的主因子数判断方法.对模拟数据和HPLC-DAD数据的处理结果表明,IR比嵌入误差(IE)、因子指示函数(IND)和交叉验证(CV)更能有效地克服噪音的影响.当实际数据中的非线性和不等性方差噪音使其它方法失效时,IR仍能得到正确的主因子数.     

Chemistry and biology of glycosaminoglycans in blood coagulation

Glycosaminoglycans (GAGs) are widely distributed in animal tissues where they are usually associated with proteins. Six types are commonly recognized: heparin (Hep), heparan sulfate (HS), dermatan sulfate (DS), chondroitin sulfate (Ch-S), keratan sulfate (KS) and hyaluronic acid (Hyal). They are structurally related with a carbohydrate backbone consisting of alternating hexuronic acid (L-iduronic acid and/or D-glucuronic acid) or galactose units and hexosamine (D-glucosamine or D-galactosamine) residues. All GAGs, except Hyal, show sulfate groups along their chains. Certain sulfate glycoaminoglycans have the ability to interfere with blood coagulation, as demonstrated by the extensive clinical use of Hep as an anticoagulant agent. HS and DS show a good anticoagulant activity, although weaker than that of Hep. In contrast, Ch-S has a low ability to inhibit plasma serine proteases, and KS and Hyal are devoid of any effect on coagulation cascade. The interaction between blood coagulation serine proteases and GAGs can be found to have two principle mechanisms: the specific “lock and key” binding and the nonspecific cooperative electrostatic association. This different ability of GAGs to interact with coagulation cascade proteins depends on the molecular weight, the ratio of iduronic/glucoronic acid and the sulfation degree. Many attempts have been made to improve or induce anticoagulant activity of natural GAGs-by chemical modification. Increasing sulfation degree of DS and Ch-S is followed by their biological activity increasing. Hyal, which is devoid of any anticoagulant effect, acquires a good ability to inactivate plasma serine proteases, i.e. thrombin and Factor Xa, when it is sulfated. This ability increases by increasing the number of sulfate groups per disaccharide unit, although the mechanism of action is different from that of Hep, but seems to be independent of its molecular weight.     

Converting suffix trees into factor/suffix oracles

Several methods to compress suffix trees were defined, most of them with the aim of obtaining compact (that is, space economical) index structures. Besides this practical aspect, a compression method can reveal structural properties of the resulting data structure, allowing a better understanding of it and a better estimation of its performances.

In this paper, we propose a simple method to compress suffix trees by merging couples of nodes. This idea was already used in the literature in a context different from ours. The originality of our approach is that the nodes we merge are not chosen with respect to their subtrees (which is difficult to test algorithmically), nor with respect to the words spelled along branches (which usually requires testing several branches before finding the good one) but with respect to their position in the tree (which is easy to compute). Another particularity of our method is it needs to read no edge label: it is exclusively based on the topology of the suffix tree. The compact structure resulting after compression is the factor/suffix oracle introduced by Allauzen, Crochemore and Raffinot whose accepted language includes the accepted language of the corresponding suffix tree.

The interest of our paper is therefore threefold:

1. A topology-based compression method is defined for (compact) suffix trees.

2. A new property of a factor/suffix oracle is established, that is, like a DAG, it results from the corresponding suffix tree after a linear number of appropriate node mergings; unlike a DAG, the merged nodes do not necessarily have isomorphical subtrees.

3. A new algorithm to transform a suffix tree into a factor/suffix oracle is given, which has linear running time and thus improves the quadratic complexity previously known for the same task.

因素空间和范畴

本文讨论了几种模糊范畴的Ｔｏｐｏｓ性质，把集丛理论、范畴理论应用到因素空间的研究之中，建立了同一因素集上和不同因素集上的因素空间之间的关系，并给出了子因素空间的概念和子因素空间的布尔运算。     

Run orders and quantitative factors in asymmetrical designs

Results on run orders leading to trend-free symmetrical factorial designs are extended to the asymmetrical case, using the character theory of abelian groups. The tools developed apply equally to the construction of designs for quantitative treatment factors with eight or more regularly spaced levels. Abelian group theory can also be used to find minimum-cost run orders for asymmetrical designs, with a cost based on the number of changes of levels between successive runs.     

用多波长K系数校正光谱试剂空白

试剂空白校正是光谱分析中亟待解决的问题之一，提出采用一种新的以零吸收波长试剂的空白吸光度为分母的光谱多波长Ｋ系数校正空白影响的新方法，首先通过模拟实验数据并应用模拟纯光谱与校正光谱间的误差确定选择零波长，继而运用各波长Ｋ系数从实验混合光谱中通过△Ａ＝Ａ－Ｋ．Ａ校正试剂空白得到真实光谱，最后以Ｚｎ－ＰＡＲ，Ｃｕ－ＴＡＰＰ及Ｈｇ－Ｈ２Ｄｚ３个典型体系空白校正为例说明本法的初步应用。     

Decomposability of free Łukasiewicz implication algebras

?ukasiewicz implication algebras are {→,1}-subreducts of Wajsberg algebras (MV-algebras). They are the algebraic counterpart of Super-?ukasiewicz Implicational logics investigated in Komori, Nogoya Math J 72:127–133, 1978. The aim of this paper is to study the direct decomposability of free ?ukasiewicz implication algebras. We show that freely generated algebras are directly indecomposable. We also study the direct decomposability in free algebras of all its proper subvarieties and show that infinitely freely generated algebras are indecomposable, while finitely free generated algebras can be only decomposed into a direct product of two factors, one of which is the two-element implication algebra.     

Three-dimensional modeling of EXAFS spectral mixtures by combining Monte Carlo simulations and target transformation factor analysis

We have developed a new method for the three-dimensional modeling of extended X-ray absorption fine structure (EXAFS) spectra which enables the extraction of the local structure of aqueous metal complexes from spectral mixtures of several components. The new method combines two techniques: Monte Carlo simulation and target transformation factor analysis (TFA). Monte Carlo simulation is used to create random arrangements between the X-ray absorbing metal ion and the ligand atoms, and to calculate the theoretical EXAFS spectrum of each arrangement. The theoretical EXAFS spectrum is then introduced as test spectrum in the TFA procedure, to test whether or not the test spectrum is likely to be a component of the spectral mixtures. This coupled procedure is repeated until the error in the test spectrum is minimized. The new method can thus be used to isolate and refine the structure of complexes from spectral mixtures and to determine their relative concentrations, solely on the basis of an estimate of a ligand structure. The performance of the proposed method is validated using uranium Liii-edge EXAFS spectra of binary mixtures of two uranium(VI) 3,4-dihydroxybenzoic acid complexes.     

A piezoelectric-elastic body with inhomogeneities and a crack under plane electrical and anti-plane mechanical loads

Summary  In this paper, we study a two-dimensional electroelastic problem of an infinite piezoelectric body with two circular piezoelectric inhomogeneities, one of which contains a crack. We formulate the stress intensity factor (SIF) analytically and investigate it numerically. The problem is solved based on Bueckner's principle, and is reduced to a problem of a singular integral equation of the first kind with respect to the distribution function of screw dislocation. The effect of interaction between the two inhomogeneities and the crack on the electroelastic field as well as the control of the SIF by electrical loads is investigated. Received 18 April 2000; accepted for publication 24 October 2000