Page 123 - 20dynamics of cancer
P. 123

108                                                 CHAPTER 6


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                                                              7XEKI


                              Figure 6.7  Probability that a line will be in a particular stage at age 80. Pa-
                              rameters for the panels here from top to bottom match the curves from top to
                              bottom in Figure 6.6. Probability shown on a log 10 scale. If the number of lines
                                                         7
                              in an individual tissue is L = 10 , then, on a logarithmic scale, the expected
                              number of lines in each stage is log 10 (p i L) = log 10 (p i ) + 7.




                              that Armitage’s approximation can be off by a significant amount. I have
                              avoided using such approximations here and in other sections. With
                              modern computational tools, it is just as easy to obtain exact results by
                              direct calculation of the dynamical system, as I do throughout this book.
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