BackLinkage Disequilibrium, Runs of Homozygosity, and Population Structure in Genetics
Study Guide - Smart Notes
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{"type":"doc","content":[{"type":"heading","attrs":{"textAlign":null,"level":2},"content":[{"type":"text","text":"Linkage Disequilibrium (LD) and Recombination"}]},{"type":"heading","attrs":{"textAlign":null,"level":3},"content":[{"type":"text","text":"Understanding Linkage Disequilibrium"}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","text":"Linkage Disequilibrium (LD) refers to the non-random association of alleles at different loci in a population. LD is a key concept in population genetics, as it provides insights into the evolutionary history, structure, and dynamics of populations."}]},{"type":"bulletList","content":[{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"LD Blocks:"},{"type":"text","text":" Regions of the genome where genetic markers are inherited together more often than expected by chance, forming haplotype blocks."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Haplotypes:"},{"type":"text","text":" Combinations of alleles at adjacent loci that are transmitted together."}]}]},{"type":"listItem","content":[{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Recombination:"},{"type":"text","text":" The process by which alleles are shuffled during meiosis, breaking up LD blocks and creating new combinations of alleles."}]}]}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Example:"},{"type":"text","text":" Recombination events break up large haplotype blocks into smaller ones, reducing LD between distant markers."}]},{"type":"paragraph","attrs":{"textAlign":null},"content":[{"type":"image","attrs":{"src":"data:image/png;base64,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