The problem of biological sequence comparison arises naturally in an attempt to explain many biological phenomena. Due to the combinatorial structure and pattern preserving properties of the sequences it attracted not only biologists, but also mathematicians, statisticians and computer scientists. In this work we study one of the most effective tools widely used for comparison of biological sequences - sequence alignment. We present the basic theory of sequence alignment from computational, biological, and statistical perspectives. We will also present and analyze results of computer simulation that effectively illustrates one possible application of this theory.
","abstract_html":"<p>The problem of biological sequence comparison arises naturally in an attempt to explain many biological phenomena. Due to the combinatorial structure and pattern preserving properties of the sequences it attracted not only biologists, but also mathematicians, statisticians and computer scientists. In this work we study one of the most effective tools widely used for comparison of biological sequences - sequence alignment. We present the basic theory of sequence alignment from computational, biological, and statistical perspectives. We will also present and analyze results of computer simulation that effectively illustrates one possible application of this theory.</p>","abstract_has_math":false,"creators":["Orlova, Tatiana"],"institution":null,"degree_name":"M.S.","degree_level":"Campus Access Thesis","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Eva Czabarka"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2010,"date_issued":"2010-01-01T08:00:00Z","date_published":"2010-01-01T08:00:00Z","updated_at":"2026-07-24T04:37:21Z","subjects":["Mathematics","Physical Sciences and Mathematics","sequence alignment"],"languages":[],"rights":["© 2010, Tatiana Orlova"],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://scholarcommons.sc.edu/etd/384","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Eva Czabarka"]},{"key":"dc:creator","label":"Author","values":["Orlova, Tatiana"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Campus Access Thesis"]},{"key":"thesis:degree_name","label":"Degree Name","values":["M.S."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["Mathematics","Physical Sciences and Mathematics","sequence alignment"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:rights","label":"Dc Rights","values":["© 2010, Tatiana Orlova"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://scholarcommons.sc.edu/etd/384"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["The problem of biological sequence comparison arises naturally in an attempt to explain many biological phenomena. Due to the combinatorial structure and pattern preserving properties of the sequences it attracted not only biologists, but also mathematicians, statisticians and computer scientists. In this work we study one of the most effective tools widely used for comparison of biological sequences - sequence alignment. We present the basic theory of sequence alignment from computational, biological, and statistical perspectives. We will also present and analyze results of computer simulation that effectively illustrates one possible application of this theory.
"]},{"key":"dc:title","label":"Title","values":["Mathematical Models, Algorithms, and Statistics of Sequence Alignment"]}]}],"canonical_facts":{"dc:contributor":["Eva Czabarka"],"dc:creator":["Orlova, Tatiana"],"dc:description.abstract":["The problem of biological sequence comparison arises naturally in an attempt to explain many biological phenomena. Due to the combinatorial structure and pattern preserving properties of the sequences it attracted not only biologists, but also mathematicians, statisticians and computer scientists. In this work we study one of the most effective tools widely used for comparison of biological sequences - sequence alignment. We present the basic theory of sequence alignment from computational, biological, and statistical perspectives. We will also present and analyze results of computer simulation that effectively illustrates one possible application of this theory.
"],"dc:identifier":["https://scholarcommons.sc.edu/etd/384"],"dc:rights":["© 2010, Tatiana Orlova"],"dc:subject":["Mathematics","Physical Sciences and Mathematics","sequence alignment"],"dc:title":["Mathematical Models, Algorithms, and Statistics of Sequence Alignment"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Campus Access Thesis"],"thesis:degree_name":["M.S."]},"updated_at":"2026-07-24T04:37:21Z"}