Detection of Significant Genomic Alterations via Simultaneous Minimal Sojourns at a State by Independent Continuous-time Markov Chains
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| 024 | 7 | 0 | |a 10.1007/s11009-013-9374-3 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s11009-013-9374-3 | ||
| 245 | 0 | 0 | |a Detection of Significant Genomic Alterations via Simultaneous Minimal Sojourns at a State by Independent Continuous-time Markov Chains |h [Elektronische Daten] |c [Stéphane Robin, Valeri Stefanov] |
| 520 | 3 | |a The connection between a disease and some genetic disorders can be studied by looking for recurrent alterations in genomic profiles of humans affected by the disease. Modeling each patient profile as a 2-state jump Markov process, we define a recurrent alteration in terms of a sojourn time of a cumulated process. The cumulated process happen to be a birth-and-death process. We provide the exact Laplace transforms of relevant hitting times associated with the latter. Based on this exact results, we derive an upper bound of a sojourn time probability of interest. Our upper bound is exactly equal to the p-value nominated in all earlier literature where an attempt is made for an assessment of the significance of genomic alterations. Moreover, that p-value has never been evaluated exactly in previous works. Finally, we give abaques which are useful for the assessment of recurrent genomic alterations for a variety of realistic alteration frequencies and lengths. | |
| 540 | |a Springer Science+Business Media New York, 2013 | ||
| 690 | 7 | |a Birth-and-death process |2 nationallicence | |
| 690 | 7 | |a Genomic alteration |2 nationallicence | |
| 690 | 7 | |a Laplace transform |2 nationallicence | |
| 690 | 7 | |a Markov jump process |2 nationallicence | |
| 700 | 1 | |a Robin |D Stéphane |u INRA, UMR 518 MIA, 16, rue C. Bernard, 75005, Paris, France |4 aut | |
| 700 | 1 | |a Stefanov |D Valeri |u Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria |4 aut | |
| 773 | 0 | |t Methodology and Computing in Applied Probability |d Springer US; http://www.springer-ny.com |g 17/2(2015-06-01), 479-487 |x 1387-5841 |q 17:2<479 |1 2015 |2 17 |o 11009 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s11009-013-9374-3 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 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/s11009-013-9374-3 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Robin |D Stéphane |u INRA, UMR 518 MIA, 16, rue C. Bernard, 75005, Paris, France |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Stefanov |D Valeri |u Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Methodology and Computing in Applied Probability |d Springer US; http://www.springer-ny.com |g 17/2(2015-06-01), 479-487 |x 1387-5841 |q 17:2<479 |1 2015 |2 17 |o 11009 | ||