Mechanistic Model for Cancer Growth and Response to Chemotherapy

Figure 1

(a) Numerical simulations of (4)–(7) and (9), where BVF = 0.01, , and . Here and are the dimensionless radial distance and time, respectively. In (c), is plotted against for and . For the latter, increases at the beginning of the treatment due to proliferation; then after a short time the drug overcomes proliferation and cancer cells all die after 6 apoptotic cycles.

(a) Normalized cancer density

(b) Normalized drug concentration

(c) The ratio of the viable cancer mass to the initial mass