Modeling of Cancer Stem Cell State Transitions Predicts Therapeutic Response
Fig 2
Stochastic simulation results for cell growth during carcinogenesis compared with analytic results for the Gompertzian growth curve.
Simulation results show total population counts in response to a gradual shift from predominantly asymmetric to symmetric division of BCSCs. Our simulation showed excellent agreement with the Gompertz function with growth rate parameter c ranging between 0.001 and 0.002 cell−1 day−1, which match previously estimated growth rate parameters obtained by fitting the Gompertz function to data from breast tumor growth [37, 38]. Here we demonstrate the fit between our simulation results and the Gompertz function with parameters A0 = 0.0193 (95% confidence interval 0.0192—0.0194), c = 0.00133 (95% confidence interval 0.00133-0.00134) and asymptote 1.2 × 109 (R2 = 0.989).