The Space-Jump Model of the Movement of Tumor Cells and Healthy Cells

Abstract

We establish the interaction model of two cell populations following the concept of the random-walk, and assume the cell movement is constrained by space limitation primarily. Furthermore, we analyze the model to obtain the behavior of two cell populations as time is closed to initial state and far into the future.

Traveling wave solutions for a cancer stem cell invasion model

“…Introduction. The study of the dynamics of cellular movement throughout the body has been an area at the forefront of mathematical and biological research in recent years: see [3,16,19], for example. Many of these papers specifically relate to cancer modeling as well, a topic that has special import due to cancer's continued role as one of the leading causes of human death.…”