Anna Bauer Biology & Mathmatics
Terry Jo Leiterman Associate Professor of Mathmatics
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Abstract
A clear understanding of tumor morphology is required for an individualized cancer treatment. The properties of Darcy’s Law assume tumor cells to be rigid and motionless with constant porosity. SIR modeling examines tumor boundaries and environment, especially in infected populations. When the tumor size is steady, results suggest that tumor growth occurs in regions of low hydraulic conductivity, or in regions where water cannot pass easily through material. These morphological properties then lead to spatial predictions of the tumor, providing direction for precision patient care.