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Physical Sciences and Mathematics Commons

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Mathematics

Undergraduate Journal of Mathematical Modeling: One + Two

DNA

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Full-Text Articles in Physical Sciences and Mathematics

Evaluating The Improvement In Dna Fingerprinting, Dani Dray Jan 2021

Evaluating The Improvement In Dna Fingerprinting, Dani Dray

Undergraduate Journal of Mathematical Modeling: One + Two

DNA fingerprinting is a forensic technique used to create patterns that are unique to a person’s DNA. Previously, these fingerprints were made from 13 different segments of DNA, but today they are made from the 20 ones. The fundamental principle of counting is used to determine how much of an improvement was made after adding the 7 additional DNA segments. It is found that this addition greatly reduces the likelihood of two people having the same exact fingerprint, therefore improving the accuracy and reliability of DNA fingerprinting.


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 …