Figure 6.1. Acceleration of cancer incidence in a multistage model calculated from Eq.

Figure 6.1

Acceleration of cancer incidence in a multistage model calculated from Eq. (6.3). For all curves: n = 10; the cumulative probability of cancer by age T = 80 is m = p(80); and L is the number of independent lines of progression within each individual. (a) The cumulative probability of cancer by age 80 is set to m = 0.1. The values on each curve show L. The values of u were obtained by solving m = p(80), yielding for the curves from top to bottom: 0.00757, 0.0209, 0.0373, 0.0778. (b) The number of independent lines is set to L = 1. The values on each curve show m. The values of u were obtained by solving m = p(80) in Eq. (6.5), yielding for the curves from top to bottom: 0.0275, 0.0516, 0.0778, 0.1017, 0.1423, and 0.2348. The two panels show results for separately varying values of m and L, but for m < 0.2, each curve depends only on the ratio m/L.

From: Chapter 6, Theory I

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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