Mathematical Application of DNA Profiling

Esthelle Chung
Chadwick International

Abstract

Adolescent sex crimes have impacted the world for millennia, particularly in South Korea, with the
recent Jo Du Sun Case and the notorious Hwaseong Serial Murders, both of which have left
numerous Koreans in terror. Of greater significance are cold cases and unsolved criminal
investigations. Cold cases often make it difficult to punish their perpetrators, even when caught, due
to a lack of evidence or accountability. These “cold cases” represent traumatic challenges for crime
investigators, where traditional investigative methods have failed to identify the culprit and yielded
limited progress. In the modern day, scientists search for innovative solutions that diverge from court
testimonials and solid scientific data. This research paper explores mathematical modeling and DNA
profiling in biological sciences as a solution to producing concrete evidence on cold adolescent sex
crimes. Mathematical modeling is a technique that applies mathematical concepts and formulas by
setting variables applicable to specific scenarios. Such models allow the quantification of the
likelihood of specific genetic markers being present and verifying a committed crime. This study is
two-parted, as it delves into a) a logical derivation of a conditional probability model deciphering the
relationship of DNA evidence and an actual verdict and b) a graphical representation of the
probabilities in a sex crime using graph theory.

Please click to read the paper.