Dose-Response in the TSCE and MSCE Models

Modeling Dose-Response in the TSCE and MSCE Models 

Single Agent. Let d(s) denote the exposure of an individual to a specific agent at age s. We can then assume that each of the identifiable parameters of the model has a dose-response given by 

Multiple Agents. When we have infoimation about the exposure levels of several agents, we can assume that the model parameters are functions of all the exposures simultaneously. In particular, let s assume that we have information about the exposure of an individual to m agents. Let d/s) denote the exposure to the yth agent at age s,j=l. m. The following dose-response function has been used in the past to evaluate the effects of several agents combined (Hazelton et al. 2001, 

Effects on Cell Division and Cell Death Rates. The cell division and cell death rates in the TSCE and MSCE model cannot be estimated independently when using incidence data alone however, the approximate net cell proliferation rate, -(p + q) = (a - f3- Pt i) is an identifiable parameter (Heidenreich et al. 1997). The effects of nongenotoxic agents on cancer risk can be evaluated by estimating the effect of such agents on the cell proliferation (or promotion) rate in the TSCE or MSCE model. 

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