Modeling and analysis of a physical tumor model including the effects of necrotic core

J. Dey, Louisiana State University
S. W. Walker
J. M. Mathis, Louisiana State University
D. Shumilov, Louisiana State University
K. M. Kirby, Louisiana State University
Y. Luo, Louisiana State University

Abstract

A new comprehensive diffusion-reaction equation for tumor density is presented with the necrotic conditions accounted for. The forward model has been implemented in 3D using FELICITY FEM code and shown on a mouse SPECT/CT dataset. Future work involves inversion of model across time-points to extract parameters from our model to be assessed for potential cancer quantification and management.