ProbfDLTjDose¼xg ¼tanhðxÞ þ12!y:ð4ÞTo facilitate comparisons between these two models, the hyperbolictangent model can be rewritten asProb DLTjDose¼xfg ¼expð2xÞ1þexpð2xÞ!ywhich is consistent with the form given in Eq. (2) withh0= 0 andh1= 2assumed known. For exposition we consider the two-parameter logisticmodel given in (3). With this model the MTD isg¼lnðuÞ ±lnð1±uÞ ±h0h1:An illustration of the model is shown in Figure 1 and properties of themodel are given in (Johnson et al., 1995).Figure 1Example of the logistic tolerance distribution used as a model for the
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