Mathemetical Modeling For Cancer Growth
Keywords: mathematical modeling, finite difference method, python
Overview
A small project I did about python implementation of reaction-diffusion model simulation for invasive cancer. The model is based on this study where the cancer growth is facilitated by the diffusion of excess acid production from cancer cells to the surrounding healthy tissue and described with reaction and diffusion equations. The explicit finite difference method is used to solve the differential equation and simulate the cancer growth.
Example
There are 3 treatment scenarios simulated in this project: with chemotherapy, with surgery, and with a combination of chemotherapy and surgery.


