A stochastic carcinogenesis model incorporating multiple types of genomic instability fitted to colon cancer data. (English) Zbl 1400.92269
J. Theor. Biol. 254, No. 2, 229-238 (2008); erratum ibid. 255, No. 2, 268 (2008).
Summary: A generalization of the two-mutation stochastic carcinogenesis model of Moolgavkar, Venzon and Knudson and certain models constructed by the first author [Biometrics 51, No. 4, 1278–1291 (1995; Zbl 0899.62137)] and the first author and E. G. Wright [Math. Biosci. 183, No. 2, 111–134 (2003; Zbl 1024.92012)] is developed; the model incorporates multiple types of progressive genomic instability and an arbitrary number of mutational stages. The model is fitted to US Caucasian colon cancer incidence data. On the basis of the comparison of fits to the population-based data, there is little evidence to support the hypothesis that the model with more than one type of genomic instability fits better than models with a single type of genomic instability. Given the good fit of the model to this large dataset, it is unlikely that further information on presence of genomic instability or of types of genomic instability can be extracted from age-incidence data by extensions of this model.
MSC:
| 92C50 | Medical applications (general) |
| 62P10 | Applications of statistics to biology and medical sciences; meta analysis |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
Keywords:
carcinogenesis; colon cancer; genomic instability; chromosomal instability; microsatellite instability; stochastic quasi-mechanistic modelsReferences:
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