Effect of the initial R-cell distribution on the TTP under AT.

Abstract

(A) Cell configurations on days 1, 120, and 2000. The square signifies the domain representative of the tumor. The blue, orange, and white dots are S-cells, R-cells, and empty sites, respectively. (B) Average temporal evolution of the S-cell and R-cell populations for the clumped (upper panel), random (middle panel), and uniform (bottom panel) cases of the initial cell configurations (blue dots: S-cells, orange dots: R-cells). Black solid line: the total population (N(t) = S(t) + R(t)). Vertical solid cyan line: TTP; horizontal solid cyan line: 120% level of the initial tumor volume. Vertical dotted cyan line: time for the R-cells to reach 50% of the initial tumor volume (TR50); horizontal dotted cyan line: 50% level of the initial tumor volume. The average numbers of empty sites (), S-cells (), and R-cells () in the VNHD of an R-cell in the 30 realizations are shown as boxplots in (C), (D), and (E), respectively, for i = c, r, u. The blue, red, and yellow boxes are for the clumped (c), random (r), and uniform (u) cases, respectively.</p