Figure 7.5. Comparison between genotypes with different transition rates.

Figure 7.5

Comparison between genotypes with different transition rates. (ad) The left incidence panels show the standard log-log plot, with incidence on a log10 scale. The bottom, short-dash curve in each incidence panel illustrates the wild-type genotype. The four incidence curves above the wild type show, from bottom to top, increasing transition rates between stages. The transition rate for the bottom curve is u, and for the curves above δu, with δ = 6i/4 for i = 1,...,4. (e–h) The ΔLLA plots on the right show the slope of R, which is the difference between wild-type and mutant genotypes in the slopes of the log-log incidence plots calculated from Eq. (7.6). For example, the solid line in each right panel illustrates the difference in the slopes between the lowest wild-type curve and the solid curve; each line type on the right illustrates the difference in log-log slopes between the wild type and the curve with the matching line type on the left. Each ΔLLA panel has the same parameters as the panel to the left. In each case, the value of u is obtained by solving for the transition rate that yields a cumulative incidence of 0.1 at age 80, where cumulative incidence is given by Eq. (6.5). The values of L from top to bottom are L = 100,102,104,108.

From: Chapter 7, Theory II

Cover of Dynamics of Cancer
Dynamics of Cancer: Incidence, Inheritance, and Evolution.
Frank SA.
Princeton (NJ): Princeton University Press; 2007.
Copyright © 2007, Steven A Frank.

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