Rare Events Simulation In Bacterial Genetic Evolution Models

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dc.contributor.advisorAzencott, Robert
dc.contributor.committeeMemberNicol, Matthew
dc.contributor.committeeMemberMang, Andreas
dc.contributor.committeeMemberGeiger, Brett
dc.creatorSu, Yingxue
dc.date.accessioned2022-08-09T02:17:20Z
dc.date.createdMay 2022
dc.date.issued2022-04
dc.date.updated2022-08-09T02:17:21Z
dc.description.abstractRare events often disturb the dynamics of random systems dramatically, despite their low frequencies. It is crucial to study the possible paths leading to the happening of these rare events and the probabilities of these paths. We focus on rare events the frequencies of certain intermediate-strength genotypes become unusually large in the stochastic model of bacterial genetic evolution. Such rare events are called fixations. We introduce two numerical algorithms to estimate the probabilities of fixations. The first algorithm is based on the large deviations theory and the importance sampling method. The second algorithm is inspired by the genealogy method introduced by physicists.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginborn digital
dc.format.mimetypeapplication/pdf
dc.identifier.urihttps://hdl.handle.net/10657/10734
dc.language.isoeng
dc.rightsThe author of this work is the copyright owner. UH Libraries and the Texas Digital Library have their permission to store and provide access to this work. Further transmission, reproduction, or presentation of this work is prohibited except with permission of the author(s).
dc.subjectRare events
dc.subjectBacterial genetic evolution models
dc.subjectLarge deviations theory
dc.subjectImportance sampling
dc.subjectGenealogy method
dc.titleRare Events Simulation In Bacterial Genetic Evolution Models
dc.type.dcmiText
dc.type.genreThesis
dcterms.accessRightsThe full text of this item is not available at this time because the student has placed this item under an embargo for a period of time. The Libraries are not authorized to provide a copy of this work during the embargo period.
local.embargo.lift2024-05-01
local.embargo.terms2024-05-01
thesis.degree.collegeCollege of Natural Sciences and Mathematics
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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