Distribution on Contingency of Alignment of Two Literal Sequences Under Constrains

Verfasser / Beitragende:
[Lorentz Jäntschi, Sorana Bolboacă]
Ort, Verlag, Jahr:
2015
Enthalten in:
Acta Biotheoretica, 63/1(2015-03-01), 55-69
Format:
Artikel (online)
ID: 605497273
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024 7 0 |a 10.1007/s10441-014-9243-7  |2 doi 
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245 0 0 |a Distribution on Contingency of Alignment of Two Literal Sequences Under Constrains  |h [Elektronische Daten]  |c [Lorentz Jäntschi, Sorana Bolboacă] 
520 3 |a The case of ungapped alignment of two literal sequences under constrains is considered. The analysis lead to general formulas for probability mass function and cumulative distribution function for the general case of using an alphabet with a chosen number of letters (e.g. 4 for deoxyribonucleic acid sequences) in the expression of the literal sequences. Formulas for three statistics including mean, mode, and standard deviation were obtained. Distributions are depicted for three important particular cases: alignment on binary sequences, alignment of trinomial series (such as coming from generalized Kronecker delta), and alignment of genetic sequences (with four literals in the alphabet). A particular case when sequences contain each letter of the alphabet at least once in both sequences has also been analyzed and some statistics for this restricted case are given. 
540 |a Springer Science+Business Media Dordrecht, 2014 
690 7 |a Alignment  |2 nationallicence 
690 7 |a Contingency matrix  |2 nationallicence 
690 7 |a Probability mass function (PMF)  |2 nationallicence 
690 7 |a Cumulative distribution function (CDF)  |2 nationallicence 
700 1 |a Jäntschi  |D Lorentz  |u Department of Physics and Chemistry, Technical University of Cluj-Napoca, 103-105 Muncii Bvd., 400641, Cluj-Napoca, Romania  |4 aut 
700 1 |a Bolboacă  |D Sorana  |u University of Agricultural Science and Veterinary Medicine Cluj-Napoca, 3-5 Calea Mănăştur, 400372, Cluj-Napoca, Romania  |4 aut 
773 0 |t Acta Biotheoretica  |d Springer Netherlands  |g 63/1(2015-03-01), 55-69  |x 0001-5342  |q 63:1<55  |1 2015  |2 63  |o 10441 
856 4 0 |u https://doi.org/10.1007/s10441-014-9243-7  |q text/html  |z Onlinezugriff via DOI 
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900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s10441-014-9243-7  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Jäntschi  |D Lorentz  |u Department of Physics and Chemistry, Technical University of Cluj-Napoca, 103-105 Muncii Bvd., 400641, Cluj-Napoca, Romania  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bolboacă  |D Sorana  |u University of Agricultural Science and Veterinary Medicine Cluj-Napoca, 3-5 Calea Mănăştur, 400372, Cluj-Napoca, Romania  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Acta Biotheoretica  |d Springer Netherlands  |g 63/1(2015-03-01), 55-69  |x 0001-5342  |q 63:1<55  |1 2015  |2 63  |o 10441