{"id":{"repo_id":"unlv","oai_identifier":"oai:oasis.library.unlv.edu:rtds-2070"},"canonical_url":"https://search.dev.ndltd.org/etd/unlv/oai:oasis.library.unlv.edu:rtds-2070","repository":{"repo_id":"unlv","name":"University of Nevada - Las Vegas","base_url":"https://oasis.library.unlv.edu/do/oai/"},"display":{"title":"Modeling of short-distance running","abstract":"In this thesis, we construct a model of human performance in short distance foot races. First, we describe the Hill-Keller model of competitive running, based on the solution to an optimal control problem, and then focus on that part of the model dealing with short distance races. Our task is to estimate two underlying physiological parameters that characterize the runner's performance. Second, we customize this submodel by linearizing Keller's analytical solution for short distance races, we then apply a high quality linear least squares estimation based on the Singular Value Decomposition (SVD) in order to estimate the two physiological parameters. Finally, we apply this computational model to real world data, first on a 1987 World Track record, and more extensively, on larger data sets consisting of split times of high school student athletes.","abstract_html":"In this thesis, we construct a model of human performance in short distance foot races. First, we describe the Hill-Keller model of competitive running, based on the solution to an optimal control problem, and then focus on that part of the model dealing with short distance races. Our task is to estimate two underlying physiological parameters that characterize the runner's performance. Second, we customize this submodel by linearizing Keller's analytical solution for short distance races, we then apply a high quality linear least squares estimation based on the Singular Value Decomposition (SVD) in order to estimate the two physiological parameters. Finally, we apply this computational model to real world data, first on a 1987 World Track record, and more extensively, on larger data sets consisting of split times of high school student athletes.","abstract_has_math":false,"creators":["Capiral, Maria Camille Theresa Jose"],"institution":"University of Nevada, Las Vegas","degree_name":"Master of Science (MS)","degree_level":"Thesis","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["George Miel"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":1999,"date_issued":"1999-01-01T08:00:00Z","date_published":"1999-01-01T08:00:00Z","updated_at":"2026-07-24T05:25:04Z","subjects":[],"languages":["English"],"rights":["IN COPYRIGHT. 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