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. Author manuscript; available in PMC: 2010 Jul 1.
Published in final edited form as: Chem Res Toxicol. 2009 Jul;22(7):1264–1276. doi: 10.1021/tx9000754

Extrapolated doses to cause one excess tumor in a million individuals according to selected models.

Extrapolation Type Extrapolated dose (ppb) causing
0.0001 percent incidence1
Ratio (Model over LED10)
Liver Stomach Liver Stomach
Example of an LED10 0.1262 0.3263
Example of an ED10 0.1552 0.3873 1.23 1.19
Probit linear in log dose 186 1813 1480 5560
Logit type model 1584 1205 1250 364
Ryzin-Rai model 66 460 524 1390
1

0.0001 percent incidence = 0.000001 (proportion) incidence = 1 in one million

2

Example based on data for DBP doses 28.4 and 80 (observed incidence greater than 10%) using logit linear in log dose model. The LED10 was calculated using binomial error (because accounting for overdispersion at DBP dose 28.4 would have shrunk, and therefore penalized, the LED10).

3

Example based on data for DBP doses 80 and 225 (observed incidence greater than 10%) using logit linear in log dose model with binomial error.

4

Logit quadratic in log dose because linear gave poor fit (see results).

5

Logit linear in log dose.