Distribution of parental genome blocks in recombinant inbred lines

We consider recombinant inbred lines obtained by crossing two given homozygous parents and then applying multiple generations of self-crossings or full-sib matings. The chromosomal content of any such line forms a mosaic of blocks, each alternatively inherited identically by descent from one of the...

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Bibliographic Details
Published in:Genetics (Austin) 2011-10, Vol.189 (2), p.645-654
Main Authors: Martin, Olivier C, Hospital, Frédéric
Format: Article
Language:English
Subjects:
Agricultural sciences
Algorithms
Animals
Chromosomes
Chromosomes - genetics
Crosses, Genetic
Genetic Variation
Genetics
Genome - genetics
Genomes
Haplotypes
Heterozygote
Homozygote
Inbreeding
Investigations
Life Sciences
Markov Chains
Models, Genetic
Plants - genetics
Probability distribution
Studies
Theory
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Summary:We consider recombinant inbred lines obtained by crossing two given homozygous parents and then applying multiple generations of self-crossings or full-sib matings. The chromosomal content of any such line forms a mosaic of blocks, each alternatively inherited identically by descent from one of the parents. Quantifying the statistical properties of such mosaic genomes has remained an open challenge for many years. Here, we solve this problem by taking a continuous chromosome picture and assuming crossovers to be noninterfering. Using a continuous-time random walk framework and Markov chain theory, we determine the statistical properties of these identical-by-descent blocks. We find that successive block lengths are only very slightly correlated. Furthermore, the blocks on the ends of chromosomes are larger on average than the others, a feature understandable from the nonexponential distribution of block lengths.
ISSN:1943-2631
0016-6731
1943-2631
DOI:10.1534/genetics.111.129700