R. Bartoszynski et al., Modeling cancer detection: tumor size as a source of information on unobservable stages of carcinogenesis, MATH BIOSCI, 171(2), 2001, pp. 113-142
This paper is concerned with modern approaches to mechanistic modeling of t
he process of cancer detection. Measurements of tumor size at diagnosis rep
resent a valuable source of information to enrich statistical inference on
the processes underlying tumor latency. One possible way of utilizing this
information is to model cancer detection as a quantal response variable. In
doing so, one relates the chance of detecting a tumor to its current size.
We present various theoretical results emerging from this approach and ill
ustrate their usefulness with numerical examples and analyses of epidemiolo
gical data. An alternative approach based on a threshold type mechanism of
tumor detection is briefly described. (C) 2001 Elsevier Science Inc. All ri
ghts reserved.