Figure 5. Math modeling of oncolytic tumor destruction and experimental validation.

(A) Heatmap depicting average probability of tumor survival with respect to modeling parameters r/R and K determined using the spherical-cap approximation. Values of r/R and K have been converted to standard units of focus diameter (cell diameters) and percent of tumor cells infected at time zero of foci expansion respectively. Red = 0.00 probability of survival. Purple = 1.00 probability of survival. Sharp gradient from purple to red reveals drastic drop in survival upon small change in viral parameters. This gradient defines threshold of therapeutic efficacy. (B) Dose-response relationship: When the relative size of foci radius is kept constant, small changes in foci density, K, cause drastic changes in survivability beyond threshold dose. (C)When the density of foci is kept constant, small changes in the relative radius of infection foci cause changes in survivability. An increase in relative foci size achieves greater survivability at greater doses.