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The analysis of oligonucleotide preparations by fractal measures

✍ Scribed by Zeno Földes-Papp; Gerd Baumann; Eckhard Birch-Hirschfeld; Holger Eickhoff; Karl Otto Greulich; Albrecht K. Kleinschmidt; Hartmut Seliger

Publisher
Wiley (John Wiley & Sons)
Year
1998
Tongue
English
Weight
424 KB
Volume
45
Category
Article
ISSN
0006-3525

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✦ Synopsis

In this paper we put forward improved mathematical methods for detecting synthesis parameters in connection with analyzing crude products of chemically synthesized oligonucleotides. The crude products experimentally sampled are separated by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography. The measured separation profiles of experimental syntheses can be expressed as target and nontarget yields; they are characterized by a few parameters. These parameters account for nonlinear synthesis equations that are solvable by employing iteration procedures. We provide here a theoretical as well as computational analysis based upon specific models for stepwise chain growth.

Under nonconstant (nonuniform) conditions we use here an exponential form of growth, with different expressions for calculating the fractal dimension of the biochemical process under study. Step lengths of parameter variations in an interval of finite length have to be adjusted properly to find convergent solutions in a mathematical, regularly four-dimensional

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