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Some Mathematical Properties of Cumulative Damage Models Regarding Their Application in Cancer Epidemiology

✍ Scribed by Nikolaus Becker; Werner Rittgen


Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
779 KB
Volume
32
Category
Article
ISSN
0323-3847

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✦ Synopsis


In an earlier paper, cumulative damage models (CD models) were proposed for modelling the epidemiological aspecta of carcinogeneais. In the present paper, further, mainly mathematical support is given for the adequacy of this approach. I n the first plaoe, this concern the aepeot that the cumulative damage proem is 8 compound P o h n process. Secondly. it will be demonstreted that the CD models can be considered JM a formal generalization of certain well-known special carcinogeneais models. A more intensive inveatigation of t h m models themselves makea it evident that, on account of their mathematical quelitiea, they will possibly place very efficient new measurea at the disposal of epidemiology. A diffusion approximation, however, does. after first experimenta, not appear to meke the handling of the models any easier but, on the contrary, to lead to a Joes of certain pleasant qualities.