Synthetic examples: uncertainty in the posterior probability density function uniformly decreases as the time between the pre-treatment images increases. Shorter time intervals result in a large degree of uncertainty in the posterior in the velocity of the traveling wave. We also see that the underlying tumor growth kinetics influence the degree to which the time between the images matters. This has an interesting impact on the resultant probability of days gained (DG), which is dependent on the underlying tumor growth kinetics. Specifically the slower growing tumors, with a higher degree of uncertainty in their posterior in both scenarios, seem to have a wider distribution, or greater uncertainty, for larger, but the probability of the truth increases as the distribution widens. This is due to a bias toward the DG values predicted by the faster tumors given equal weight in the posterior.