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Physical Sciences and Mathematics Commons

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Mathematics

Undergraduate Journal of Mathematical Modeling: One + Two

DNA

2011

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Full-Text Articles in Physical Sciences and Mathematics

Mathematical Analysis Of Genomic Evolution, Cedric Green Jan 2011

Mathematical Analysis Of Genomic Evolution, Cedric Green

Undergraduate Journal of Mathematical Modeling: One + Two

Changes in nucleotide sequences, or mutations, accumulate from generation to generation in the genomes of all living organisms. The mutations can be advantageous, deleterious, or neutral. The goal of this project is to determine the amount of advantageous mutations it takes to get human (Homo sapiens) DNA from the DNA of genetically distinct organisms. We do this by collecting the genomic data of such organisms, and estimating the amount of mutations it takes to transform yeast (Saccharomyces cerevisiae) DNA to the DNA of a human. We calculate the typical number of mutations occurring annually through the organism's average life span …