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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Mathematical geology 30 (1998), S. 589-615 
    ISSN: 1573-8868
    Keywords: covariance models ; Bochner's theorem ; fast Fourier transform
    Source: Springer Online Journal Archives 1860-2000
    Topics: Geosciences , Mathematics
    Notes: Abstract Covariance models provide the basic measure of spatial continuity in geostatistics. Traditionally, a closed-form analytical model is fitted to allow for interpolation of sample Covariance values while ensuring the positive definiteness condition. For cokriging, the modeling task is made even more difficult because of the restriction imposed by the linear coregionalization model. Bochner's theorem maps the positive definite constraints into much simpler constraints on the Fourier transform of the covariance, that is the density spectrum. Accordingly, we propose to transform the experimental (cross) covariance tables into quasidensity spectrum tables using Fast Fourier Transform (FFT). These quasidensity spectrum tables are then smoothed under constraints of positivity and unit sum. A backtransform (FFT) yields permissible (jointly) positive definite (cross) covariance tables. At no point is any analytical modeling called for and the algorithm is not restricted by the linear coregionalization model. A case study shows the proposed covariance modeling to be easier and much faster than the traditional analytical covariance modeling, yet yields comparable kriging or simulation results.
    Type of Medium: Electronic Resource
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  • 2
    Electronic Resource
    Electronic Resource
    Weinheim : Wiley-Blackwell
    Electrophoresis 16 (1995), S. 186-196 
    ISSN: 0173-0835
    Keywords: Genetics ; Two-dimensional electrophoresis ; Denaturing gradient electrophoresis ; Cystic fibrosis ; Mutation ; Breast cancer ; Chemistry ; Biochemistry and Biotechnology
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Biology , Chemistry and Pharmacology
    Notes: A major effort in the analysis of DNA currently focuses on identifying genes and their pathological variants underlying disease. Once such disease genes have been isolated a major task of molecular medicine is to identify the spectrum of DNA sequence variations responsible for the aberrant function of such genes. These efforts, however, are hindered by the vast amount of genetic information to scan for variations and the limited capacity of analytical techniques in terms of accuracy and speed. Recently, a number of techniques were developed, so-called “genome scanning” techniques, which allow complete genomes to be analyzed for sequence variation in parallel, i.e., at multiple sites or loci simultaneously rather than serially at predefined loci. Here we present the background and applications of a particular electrophoretic parallel processing approach, generically termed two-dimensional DNA typing. The approach is based on separating DNA fragments by two-dimensional electrophoresis [1], including denaturing gradient gel electrophoresis, thus allowing hundreds of fragments to be simultaneously assessed by comparative analysis for variations in size and sequence. The method is suitable for hybridization analysis with locus-specific and multilocus probes of genomic DNA restriction fragments derived from human and other DNA, and for analysis of polymerase chain reaction (PCR) fragments derived from large genes. Two-dimensional DNA typing has been applied, e.g., in linkage analysis of pedigrees, analysis of tumor genomes for rearrangements, and to scan the cystic fibrosis transmembrane regulator gene for sequence variations such as point mutations.
    Additional Material: 3 Ill.
    Type of Medium: Electronic Resource
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