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Waiting for m mutations


 
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1. Title Title of document Waiting for m mutations
 
2. Creator Author's name, affiliation, country Jason Ross Schweinsberg; University of California, San Diego
 
3. Subject Discipline(s)
 
3. Subject Keyword(s) Waiting times; mutations; population genetics; Moran model
 
3. Subject Subject classification 60J99; 60J85; 92D25; 92C50
 
4. Description Abstract We consider a model of a population of fixed size $N$ in which each individual gets replaced at rate one and each individual experiences a mutation at rate $\mu$. We calculate the asymptotic distribution of the time that it takes before there is an individual in the population with $m$ mutations. Several different behaviors are possible, depending on how μ changes with $N$. These results have applications to the problem of determining the waiting time for regulatory sequences to appear and to models of cancer development.
 
5. Publisher Organizing agency, location
 
6. Contributor Sponsor(s) National Science Foundation grants DMS-0504882 and DMS-0805472
 
7. Date (YYYY-MM-DD) 2008-08-28
 
8. Type Status & genre Peer-reviewed Article
 
8. Type Type
 
9. Format File format PDF
 
10. Identifier Uniform Resource Identifier http://ejp.ejpecp.org/article/view/540
 
10. Identifier Digital Object Identifier 10.1214/EJP.v13-540
 
11. Source Journal/conference title; vol., no. (year) Electronic Journal of Probability; Vol 13
 
12. Language English=en
 
14. Coverage Geo-spatial location, chronological period, research sample (gender, age, etc.)
 
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