Figure 7. Typical evolution of spatial profiles of tumor density (
) and concentrations of ECM (
), MMPs (
), glucose (
), miR-451 (
), and AMPK (
).
In each subfigure x-axis indicates the computational domain, left end (
) being the center of tumor mass and right end (
) being the farthest field away from the tumor. Glucose was provided on the right hand side of the domain near 
and glucose is transported by diffusion. Injection of glucose (
) was given on the right side of domain (
) at time 
. Levels of miR-451 and AMPK change in response to fluctuating glucose and determine whether cells would invade or grow. The red dotted line (−.) indicates the threshold 
.