We derive a full 3-dimensional (3-D) model of inhomogeneous -- anisotropic diffusion in a tumor region coupled to a binary population model. The diffusion tensors are acquired using Diffusion Tensor Magnetic Resonance Imaging (DTI) from a patient diagnosed with glioblastoma multiform (GBM). Then we numerically simulate the full model with Finite Element Method (FEM) and produce drug concentration heat maps, apoptosis regions, and dose-response curves. Finally, predictions are made about optimal injection locations and volumes, which are presented in a form that can be employed by doctors and oncologists.
@article{arxiv.1912.04993,
title = {Tumor ablation due to inhomogeneous -- anisotropic diffusion in generic 3-dimensional topologies},
author = {Erdi Kara and Aminur Rahman and Eugenio Aulisa and Souparno Ghosh},
journal= {arXiv preprint arXiv:1912.04993},
year = {2021}
}