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Mathematical Modeling of Vascular Tumor Growth and Development

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dc.contributor.authorCooper, Micheleen
dc.contributor.committeechairPuri, Ishwar K.en
dc.contributor.committeememberDe Vita, Raffaellaen
dc.contributor.committeememberFinkielstein, Carla V.en
dc.contributor.committeememberTanaka, Martin L.en
dc.contributor.departmentEngineering Science and Mechanicsen
dc.date.accessioned2014-03-14T21:36:10Zen
dc.date.adate2010-06-16en
dc.date.available2014-03-14T21:36:10Zen
dc.date.issued2010-05-12en
dc.date.rdate2010-06-16en
dc.date.sdate2010-05-14en
dc.description.abstractMathematical modeling of cancer is of significant interest due to its potential to aid in our understanding of the disease, including investigation into which factors are most important in the progression of cancer. With this knowledge and model different paths of treatment can be examined; (e.g. simulation of different treatment techniques followed by the more costly venture of testing on animal models). Significant work has been done in the field of cancer modeling with models ranging from the more broad systems, avascular tumor models, to smaller systems, models of angiogenic pathways. A preliminary model of a vascularized tumor has been developed; the model is based on fundamental principles of mechanics and will serve as the framework for a more detailed model in the future. The current model is a system of nonlinear partial differential equations (PDEs) separated into two basic sub-models, avascular and angiogenesis. The avascular sub-model is primarily based of Fickian diffusion of nutrients into the tumor. While the angiogenesis sub-model is based on the diffusion and chemotaxis of active sprout tips into the tumor. These two portions of the models allow the effects of microvessels on nutrient concentration within the tumor, as well as the effect of the tumor in driving angiogenesis, to be examined. The results of the model have been compared to experimental measurements of tumor growth over time in animal models, and have been found to be in good agreement with a correlation coefficient of (r2=0.98).en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05142010-104541en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05142010-104541/en
dc.identifier.urihttp://hdl.handle.net/10919/42656en
dc.language.isoenen
dc.publisherVirginia Techen
dc.relation.haspartThesis_final_6_15_Michele_Cooper.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectmathematical modelen
dc.subjectangiogenesisen
dc.subjectvascular tumoren
dc.subjecttumorigenesisen
dc.titleMathematical Modeling of Vascular Tumor Growth and Developmenten
dc.typeThesisen
thesis.degree.disciplineEngineering Science and Mechanicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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