Department of Mathematics
 Search | Help | Login | pdf version | printable version

Math @ Duke



Publications [#243491] of Richard T. Durrett

Papers Published

  1. Durrett, R; Limic, V, On the quantity and quality of single nucleotide polymorphisms in the human genome, Stochastic Processes and Their Applications, vol. 93 no. 1 (May, 2001), pp. 1-24, Elsevier BV [doi]
    (last updated on 2019/04/22)

    Single nucleotide polymorphisms (SNPs) are useful markers for locating genes since they occur throughout the human genome and thousands can be scored at once using DNA microarrays. Here, we use branching processes and coalescent theory to show that if one uses Kruglyak's (Nature Gen. 12 (1999) 139-144) model of the growth of the human population and one assumes an average mutation rate of 1×10-8per nucleotide per generation then there are about 5.7 million SNP's in the human genome, or one every 526 base pairs. We also obtain results for the number of SNPs that will be found in samples of sizes n≥2 to gain insight into the number that will be found by various experimental procedures. © 2001 Elsevier Science B.V.
ph: 919.660.2800
fax: 919.660.2821

Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320