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Education

2021

Applied mathematics

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A Mathematical Model Of Pancreatic Cancer Growth And Response To Treatment, Allison Cruikshank Apr 2021

A Mathematical Model Of Pancreatic Cancer Growth And Response To Treatment, Allison Cruikshank

Honors Theses

Pancreatic cancer is one of the leading causes of death due to cancer in the United States. Analyzing the effects of radiation is extremely valuable in determining when a patient is allowed surgical resection, which is, presently, the only potentially curative treatment for pancreatic cancer. This study examines pancreatic tumor growth and shrinkage to predict tumor response and change of resectability for pancreatic cancer patients undergoing radiation therapy. This is done using ordinary differential equations as a mathematical model. Mathematical models have increasingly been applied to various biological systems/processes to analyze the principles involved. In our project, a population dynamical …