| Summary: | 碩士 === 淡江大學 === 數學學系 === 88 === Physiologically-based pharmaco-kinetic (PBPK) model has been used in occupational risk assessment and related research topics in recent years. A typical PBPK model can be applied to describe the time dependent internal concentrations or its metabolites after being exposed to environmental toxic chemicals. However, owing to large numbers of unknown parameters which are dependent on individualism, the solutions by a PBPK model may lack legitimacy from a statistical point of view. This research explains how one can transform a single compartment pharmaco-kinetic model into a time —dependent mixed linear model, in order to make statistical inference with out difficulty. Experiment designs for the number of visits and required sample size to achieve desired statistical power are explored. Two chemicals, methyl chloroform and vinyl chloride, for this internal concentrations relative to this TLV’s are simulated. Also, the proposed mixed linear model is applied to is VCM workers data as an example. The results indicated that the method is appropriate.
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