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Applications of Stochastic Processes to Cancer Research

dc.contributor.advisorPravica, David W.en_US
dc.contributor.authorSteely, Kristin Michelleen_US
dc.contributor.departmentMathematicsen_US
dc.date.accessioned2013-06-06T12:18:54Z
dc.date.available2013-06-06T12:18:54Z
dc.date.issued2013en_US
dc.description.abstractThe purpose of this thesis is to implement stochastic models that are currently used to analyze the impact of different drug treatments on cancer and to model drug resistance by cancer cells. Mathematical models are used to compare single-cancer treatment results with those that involve multiple drugs at the same time. Using various parameters for the model, the probability of treatment success was calculated. A comparison was made with a probability theory approach and good agreement was obtained.  en_US
dc.description.degreeM.A.en_US
dc.format.extent51 p.en_US
dc.format.mediumdissertations, academicen_US
dc.identifier.urihttp://hdl.handle.net/10342/1764
dc.language.isoen_US
dc.publisherEast Carolina Universityen_US
dc.subjectMathematicsen_US
dc.subjectApplied mathematicsen_US
dc.subjectMedicineen_US
dc.subjectKolmogorov forward equationen_US
dc.subjectMarkov processesen_US
dc.subjectOrdinary differential equationsen_US
dc.subjectPartial differential equationsen_US
dc.subjectProbability generating functionen_US
dc.subjectStochastic processesen_US
dc.subject.lcshStochastic analysis
dc.subject.lcshDrug resistance in cancer cells
dc.titleApplications of Stochastic Processes to Cancer Researchen_US
dc.typeMaster's Thesisen_US

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