Fractals for multicyclic synthesis conditions of biopolymers examples of oligonucleotide synthesis measured by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography
We have developed models of patterns for nucleotide chain growth. These patterns are measurable by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography in crude products of solid-phase synthesized 30mer and 65mer oligodeoxyribonucleotide target sequences...
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| Veröffentlicht in: | Journal of Chromatography A 1996-07, Vol.739 (1), p.431-447 |
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| container_title | Journal of Chromatography A |
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| creator | Földes-Papp, Zeno Birch-Hirschfeld, Eckhard Eickhoff, Holger Baumann, Gerd Peng, Wei-Guo Biber, Thomas Seydel, Rüdiger Kleinschmidt, Albrecht K. Seliger, Hartmut |
| description | We have developed models of patterns for nucleotide chain growth. These patterns are measurable by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography in crude products of solid-phase synthesized 30mer and 65mer oligodeoxyribonucleotide target sequences
N. We introduce mathematical methods for finding characteristic values
d
0 and
p
0 for constant chemical modes of growth as well as
d and
p for non-constant chemical modes of growth (
d = probability of propagation,
p = probability of termination. These methods are employed by presenting the accompanying computer software developed by us in C code, Mathematica
R languages, and Fortran.
Characteristics values of the parameters
d,
p, and the target nucleotide length
N describe the complete composition of the crude product. From this we have developed the relation 2 - [
N/(
N - 1)]/
D
a, measurable(
N,
d) as a universal quantitative measure for multicyclic synthesis conditions (
D, fractal dimension and similarity exponent, respectively). We use this mathematical treatment to compare the efficiency of oligodeoxyribonucleotide syntheses of different target length
N on polymer support materials. Further, we analyze selected syntheses of suort and long oligodeoxyribonucleotides as well as single-stranded DNA sequences by well-known empirical autocorrelation, fast Fourier transformation, and embedding-dimension techniques. |
| doi_str_mv | 10.1016/0021-9673(96)00060-X |
| format | Article |
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N. We introduce mathematical methods for finding characteristic values
d
0 and
p
0 for constant chemical modes of growth as well as
d and
p for non-constant chemical modes of growth (
d = probability of propagation,
p = probability of termination. These methods are employed by presenting the accompanying computer software developed by us in C code, Mathematica
R languages, and Fortran.
Characteristics values of the parameters
d,
p, and the target nucleotide length
N describe the complete composition of the crude product. From this we have developed the relation 2 - [
N/(
N - 1)]/
D
a, measurable(
N,
d) as a universal quantitative measure for multicyclic synthesis conditions (
D, fractal dimension and similarity exponent, respectively). We use this mathematical treatment to compare the efficiency of oligodeoxyribonucleotide syntheses of different target length
N on polymer support materials. Further, we analyze selected syntheses of suort and long oligodeoxyribonucleotides as well as single-stranded DNA sequences by well-known empirical autocorrelation, fast Fourier transformation, and embedding-dimension techniques.</description><identifier>ISSN: 0021-9673</identifier><identifier>DOI: 10.1016/0021-9673(96)00060-X</identifier><identifier>PMID: 8765856</identifier><language>eng</language><publisher>Netherlands: Elsevier B.V</publisher><subject>Base Sequence ; Chromatography, High Pressure Liquid - methods ; Chromatography, High Pressure Liquid - statistics & numerical data ; Chromatography, Ion Exchange - methods ; Chromatography, Ion Exchange - statistics & numerical data ; Data analysis ; DNA ; Electrophoresis, Capillary - methods ; Electrophoresis, Capillary - statistics & numerical data ; Enzymatic nucleotide growth ; Fractal dimension ; Fractals ; Gene assembly ; Mathematics ; Models, Chemical ; Molecular Sequence Data ; Nucleotide sequence variability ; Oligodeoxyribonucleotides ; Oligonucleotide synthesis, chemical ; Oligonucleotides ; Oligonucleotides - chemical synthesis ; Oligonucleotides - chemistry ; Oligoribonucleotides ; Polymerization processes ; Software</subject><ispartof>Journal of Chromatography A, 1996-07, Vol.739 (1), p.431-447</ispartof><rights>1996</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c272t-6714dbfcbd67e014c2f5e6578791e470025c1863b5100d1d03e261bc451299693</citedby><cites>FETCH-LOGICAL-c272t-6714dbfcbd67e014c2f5e6578791e470025c1863b5100d1d03e261bc451299693</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://www.sciencedirect.com/science/article/pii/002196739600060X$$EHTML$$P50$$Gelsevier$$H</linktohtml><link.rule.ids>314,776,780,3537,27901,27902,65534</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/8765856$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Földes-Papp, Zeno</creatorcontrib><creatorcontrib>Birch-Hirschfeld, Eckhard</creatorcontrib><creatorcontrib>Eickhoff, Holger</creatorcontrib><creatorcontrib>Baumann, Gerd</creatorcontrib><creatorcontrib>Peng, Wei-Guo</creatorcontrib><creatorcontrib>Biber, Thomas</creatorcontrib><creatorcontrib>Seydel, Rüdiger</creatorcontrib><creatorcontrib>Kleinschmidt, Albrecht K.</creatorcontrib><creatorcontrib>Seliger, Hartmut</creatorcontrib><title>Fractals for multicyclic synthesis conditions of biopolymers examples of oligonucleotide synthesis measured by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography</title><title>Journal of Chromatography A</title><addtitle>J Chromatogr A</addtitle><description>We have developed models of patterns for nucleotide chain growth. These patterns are measurable by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography in crude products of solid-phase synthesized 30mer and 65mer oligodeoxyribonucleotide target sequences
N. We introduce mathematical methods for finding characteristic values
d
0 and
p
0 for constant chemical modes of growth as well as
d and
p for non-constant chemical modes of growth (
d = probability of propagation,
p = probability of termination. These methods are employed by presenting the accompanying computer software developed by us in C code, Mathematica
R languages, and Fortran.
Characteristics values of the parameters
d,
p, and the target nucleotide length
N describe the complete composition of the crude product. From this we have developed the relation 2 - [
N/(
N - 1)]/
D
a, measurable(
N,
d) as a universal quantitative measure for multicyclic synthesis conditions (
D, fractal dimension and similarity exponent, respectively). We use this mathematical treatment to compare the efficiency of oligodeoxyribonucleotide syntheses of different target length
N on polymer support materials. Further, we analyze selected syntheses of suort and long oligodeoxyribonucleotides as well as single-stranded DNA sequences by well-known empirical autocorrelation, fast Fourier transformation, and embedding-dimension techniques.</description><subject>Base Sequence</subject><subject>Chromatography, High Pressure Liquid - methods</subject><subject>Chromatography, High Pressure Liquid - statistics & numerical data</subject><subject>Chromatography, Ion Exchange - methods</subject><subject>Chromatography, Ion Exchange - statistics & numerical data</subject><subject>Data analysis</subject><subject>DNA</subject><subject>Electrophoresis, Capillary - methods</subject><subject>Electrophoresis, Capillary - statistics & numerical data</subject><subject>Enzymatic nucleotide growth</subject><subject>Fractal dimension</subject><subject>Fractals</subject><subject>Gene assembly</subject><subject>Mathematics</subject><subject>Models, Chemical</subject><subject>Molecular Sequence Data</subject><subject>Nucleotide sequence variability</subject><subject>Oligodeoxyribonucleotides</subject><subject>Oligonucleotide synthesis, chemical</subject><subject>Oligonucleotides</subject><subject>Oligonucleotides - chemical synthesis</subject><subject>Oligonucleotides - chemistry</subject><subject>Oligoribonucleotides</subject><subject>Polymerization processes</subject><subject>Software</subject><issn>0021-9673</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1996</creationdate><recordtype>article</recordtype><sourceid>EIF</sourceid><recordid>eNp9Uc1q3jAQ9KElTdO-QQs6lfbgVPJnS_alUELTBAK9JJCbkFfrzyqS5UhyiB8zb1R9P4RCoZdd2N3ZYWaK4gOj54wy_pXSipUdF5vPHf9CKeW0vH9VnL6M3xRvY_xNKRNUVCfFSSt40zb8tHi-DAqSspEMPhC32GRgBWuAxHVKI0YTCfhJm2T8FIkfSG_87O3qMESCT8rNFvdzb83WTwtY9Mlo_AvvUMUloCb9SkazHcsZQ2ZzagIkoGZjrQorQYuQgp9HH_YwNWmSSUt8glFNW_wXa83DYjSBMXinkt8GNY_ru-L1kPXg-2M_K-4uf9xeXJU3v35eX3y_KaESVSq5YLXuB-g1F0hZDdXQIG9EKzqGtcjONcBavukbRqlmmm6w4qyHumFV1_Fuc1Z8Ovydg39YMCbpTATMWib0S5SiZV1TtTQf1odDCD7GgIOcg3FZsWRU7tKTu5jkLqZc5D49eZ9hH4__l96hfgEdo8v7b4c9ZpGPBoOMYDDbok3IRkrtzf8J_gAUALMM</recordid><startdate>19960719</startdate><enddate>19960719</enddate><creator>Földes-Papp, Zeno</creator><creator>Birch-Hirschfeld, Eckhard</creator><creator>Eickhoff, Holger</creator><creator>Baumann, Gerd</creator><creator>Peng, Wei-Guo</creator><creator>Biber, Thomas</creator><creator>Seydel, Rüdiger</creator><creator>Kleinschmidt, Albrecht K.</creator><creator>Seliger, Hartmut</creator><general>Elsevier B.V</general><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>19960719</creationdate><title>Fractals for multicyclic synthesis conditions of biopolymers examples of oligonucleotide synthesis measured by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography</title><author>Földes-Papp, Zeno ; Birch-Hirschfeld, Eckhard ; Eickhoff, Holger ; Baumann, Gerd ; Peng, Wei-Guo ; Biber, Thomas ; Seydel, Rüdiger ; Kleinschmidt, Albrecht K. ; Seliger, Hartmut</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c272t-6714dbfcbd67e014c2f5e6578791e470025c1863b5100d1d03e261bc451299693</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1996</creationdate><topic>Base Sequence</topic><topic>Chromatography, High Pressure Liquid - methods</topic><topic>Chromatography, High Pressure Liquid - statistics & numerical data</topic><topic>Chromatography, Ion Exchange - methods</topic><topic>Chromatography, Ion Exchange - statistics & numerical data</topic><topic>Data analysis</topic><topic>DNA</topic><topic>Electrophoresis, Capillary - methods</topic><topic>Electrophoresis, Capillary - statistics & numerical data</topic><topic>Enzymatic nucleotide growth</topic><topic>Fractal dimension</topic><topic>Fractals</topic><topic>Gene assembly</topic><topic>Mathematics</topic><topic>Models, Chemical</topic><topic>Molecular Sequence Data</topic><topic>Nucleotide sequence variability</topic><topic>Oligodeoxyribonucleotides</topic><topic>Oligonucleotide synthesis, chemical</topic><topic>Oligonucleotides</topic><topic>Oligonucleotides - chemical synthesis</topic><topic>Oligonucleotides - chemistry</topic><topic>Oligoribonucleotides</topic><topic>Polymerization processes</topic><topic>Software</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Földes-Papp, Zeno</creatorcontrib><creatorcontrib>Birch-Hirschfeld, Eckhard</creatorcontrib><creatorcontrib>Eickhoff, Holger</creatorcontrib><creatorcontrib>Baumann, Gerd</creatorcontrib><creatorcontrib>Peng, Wei-Guo</creatorcontrib><creatorcontrib>Biber, Thomas</creatorcontrib><creatorcontrib>Seydel, Rüdiger</creatorcontrib><creatorcontrib>Kleinschmidt, Albrecht K.</creatorcontrib><creatorcontrib>Seliger, Hartmut</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Journal of Chromatography A</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Földes-Papp, Zeno</au><au>Birch-Hirschfeld, Eckhard</au><au>Eickhoff, Holger</au><au>Baumann, Gerd</au><au>Peng, Wei-Guo</au><au>Biber, Thomas</au><au>Seydel, Rüdiger</au><au>Kleinschmidt, Albrecht K.</au><au>Seliger, Hartmut</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Fractals for multicyclic synthesis conditions of biopolymers examples of oligonucleotide synthesis measured by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography</atitle><jtitle>Journal of Chromatography A</jtitle><addtitle>J Chromatogr A</addtitle><date>1996-07-19</date><risdate>1996</risdate><volume>739</volume><issue>1</issue><spage>431</spage><epage>447</epage><pages>431-447</pages><issn>0021-9673</issn><abstract>We have developed models of patterns for nucleotide chain growth. These patterns are measurable by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography in crude products of solid-phase synthesized 30mer and 65mer oligodeoxyribonucleotide target sequences
N. We introduce mathematical methods for finding characteristic values
d
0 and
p
0 for constant chemical modes of growth as well as
d and
p for non-constant chemical modes of growth (
d = probability of propagation,
p = probability of termination. These methods are employed by presenting the accompanying computer software developed by us in C code, Mathematica
R languages, and Fortran.
Characteristics values of the parameters
d,
p, and the target nucleotide length
N describe the complete composition of the crude product. From this we have developed the relation 2 - [
N/(
N - 1)]/
D
a, measurable(
N,
d) as a universal quantitative measure for multicyclic synthesis conditions (
D, fractal dimension and similarity exponent, respectively). We use this mathematical treatment to compare the efficiency of oligodeoxyribonucleotide syntheses of different target length
N on polymer support materials. Further, we analyze selected syntheses of suort and long oligodeoxyribonucleotides as well as single-stranded DNA sequences by well-known empirical autocorrelation, fast Fourier transformation, and embedding-dimension techniques.</abstract><cop>Netherlands</cop><pub>Elsevier B.V</pub><pmid>8765856</pmid><doi>10.1016/0021-9673(96)00060-X</doi><tpages>17</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0021-9673 |
| ispartof | Journal of Chromatography A, 1996-07, Vol.739 (1), p.431-447 |
| issn | 0021-9673 |
| language | eng |
| recordid | cdi_proquest_miscellaneous_78195280 |
| source | MEDLINE; Elsevier ScienceDirect Journals Complete |
| subjects | Base Sequence Chromatography, High Pressure Liquid - methods Chromatography, High Pressure Liquid - statistics & numerical data Chromatography, Ion Exchange - methods Chromatography, Ion Exchange - statistics & numerical data Data analysis DNA Electrophoresis, Capillary - methods Electrophoresis, Capillary - statistics & numerical data Enzymatic nucleotide growth Fractal dimension Fractals Gene assembly Mathematics Models, Chemical Molecular Sequence Data Nucleotide sequence variability Oligodeoxyribonucleotides Oligonucleotide synthesis, chemical Oligonucleotides Oligonucleotides - chemical synthesis Oligonucleotides - chemistry Oligoribonucleotides Polymerization processes Software |
| title | Fractals for multicyclic synthesis conditions of biopolymers examples of oligonucleotide synthesis measured by high-performance capillary electrophoresis and ion-exchange high-performance liquid chromatography |
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