Modeling the Dynamics of Cancerous Tumors in Vivo
| dc.contributor.advisor | Durrett, Richard T | |
| dc.contributor.author | Talkington, Anne | |
| dc.date.accessioned | 2015-10-26T23:25:52Z | |
| dc.date.available | 2015-10-26T23:25:52Z | |
| dc.date.issued | 2015-10-26 | |
| dc.department | Mathematics | |
| dc.description.abstract | A key area of interest in cancer research is understanding tumor dynamics, so that tumor growth can be predicted more easily and treated more reliably. We explored in vivo tumor dynamics starting from simple exponential and logistic growth and progressing to more general models. We then applied these models to analyze the growth of breast cancer, liver cancer, and two types of neurological cancer using five data sets. We found that exponential growth gave the best fit to breast and liver cancers, while surface growth (a 2/3's power law) gave the best fit to neurological cancers. | |
| dc.identifier.uri | ||
| dc.language.iso | en_US | |
| dc.subject | Cancer | |
| dc.subject | tumor dynamics | |
| dc.subject | exponential growth | |
| dc.subject | power law | |
| dc.title | Modeling the Dynamics of Cancerous Tumors in Vivo | |
| dc.type | Honors thesis |
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