Single-crossover recombination and ancestral recombination trees

Baake E, von Wangenheim U (2014)
Journal of Mathematical Biology 68(6): 1371-1402.

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Zeitschriftenaufsatz | Veröffentlicht | Englisch
Abstract / Bemerkung
We consider the Wright-Fisher model for a population of individuals, each identified with a sequence of a finite number of sites, and single-crossover recombination between them. We trace back the ancestry of single individuals from the present population. In the limit without rescaling of parameters or time, this ancestral process is described by a random tree, whose branching events correspond to the splitting of the sequence due to recombination. With the help of a decomposition of the trees into subtrees, we calculate the probabilities of the topologies of the ancestral trees. At the same time, these probabilities lead to a semi-explicit solution of the deterministic single-crossover equation. The latter is a discrete-time dynamical system that emerges from the Wright-Fisher model via a law of large numbers and has been waiting for a solution for many decades.
Erscheinungsjahr
Zeitschriftentitel
Journal of Mathematical Biology
Band
68
Zeitschriftennummer
6
Seite
1371-1402
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PUB-ID

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Baake E, von Wangenheim U. Single-crossover recombination and ancestral recombination trees. Journal of Mathematical Biology. 2014;68(6):1371-1402.
Baake, E., & von Wangenheim, U. (2014). Single-crossover recombination and ancestral recombination trees. Journal of Mathematical Biology, 68(6), 1371-1402. doi:10.1007/s00285-013-0662-x
Baake, E., and von Wangenheim, U. (2014). Single-crossover recombination and ancestral recombination trees. Journal of Mathematical Biology 68, 1371-1402.
Baake, E., & von Wangenheim, U., 2014. Single-crossover recombination and ancestral recombination trees. Journal of Mathematical Biology, 68(6), p 1371-1402.
E. Baake and U. von Wangenheim, “Single-crossover recombination and ancestral recombination trees”, Journal of Mathematical Biology, vol. 68, 2014, pp. 1371-1402.
Baake, E., von Wangenheim, U.: Single-crossover recombination and ancestral recombination trees. Journal of Mathematical Biology. 68, 1371-1402 (2014).
Baake, Ellen, and von Wangenheim, Ute. “Single-crossover recombination and ancestral recombination trees”. Journal of Mathematical Biology 68.6 (2014): 1371-1402.

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28 References

Daten bereitgestellt von Europe PubMed Central.

Mutation and recombination with tight linkage.
Baake E., J Math Biol 42(5), 2001
PMID: 11419620

AUTHOR UNKNOWN, 0

AUTHOR UNKNOWN, 0

JH, Ann Human Genet 18(), 1954

KJ, Linear Algebra Appl 348(), 2002

R, 2008

AUTHOR UNKNOWN, 0

W, 2004

H, Ann Math Stat 15(), 1944

J, Adv Appl Math 41(), 2008

G, 2001

J, 1999

DK, Int J Comput Math 42(), 1992

AUTHOR UNKNOWN, 0
Where the crossovers are: recombination distributions in mammals.
Kauppi L, Jeffreys AJ, Keeney S., Nat. Rev. Genet. 5(6), 2004
PMID: 15153994

YI, 1992

D, J Lond Math Soc 28(2), 1983
Approximating the coalescent with recombination.
McVean GA, Cardin NJ., Philos. Trans. R. Soc. Lond., B, Biol. Sci. 360(1459), 2005
PMID: 16048782

A, J ACM 27(), 1980

AUTHOR UNKNOWN, 0

C, 2003

RP, 1999

J, 2008
On the number of ancestors to a DNA sequence.
Wiuf C, Hein J., Genetics 147(3), 1997
PMID: 9383085
Single-crossover recombination in discrete time.
von Wangenheim U, Baake E, Baake M., J Math Biol 60(5), 2009
PMID: 19636557

S, Theor Comput Sci 10(), 1980

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