Equations describing the loading of microbes on hands (directly or through an object) and the transfer of microbes from hand-to-mouth were used to determine the final dose for each exposure scenario (Zartarian et al. 2000). Model parameters are presented in Table 1 for the hand contamination distributions and Table 2 for the dose distributions. Model parameters and equations are described further in the Appendix (available with the online version of this paper).

Table 1

Model parameters used to estimate hand and object contamination distributions

VariableSymbolParameterSource
Microbe concentration (log10/100 mL)       
 Coliphage CC Normal (5.56, 1.18) This study 
E. coli CEc Normal (8.60, 1.00) This study 
Time spent in the drain per entry event (hr)       
 Deliberate entry TD Determined from a hazard model of children's activities This study 
Frequency of contact with drain (#/drain entry event)       
 Accidental entry DA Poisson (1) Assumption 
 Incidental entry DI Poisson (1) Assumption 
 Deliberate entry DD Poisson (5×TDAssumption 
Area of surface (cm2      
 Hands, young childrena AY Uniform (244.4, 329.0) US EPA (2011)  
 Hands, older childrenb AM Uniform (380.7, 695.6) US EPA (2011)  
 Object AO Uniform (378.8, 1515.5) Assumption 
Object contacted (%)       
 Hand in drain water SHDW Uniform (0.08, 1.00) AuYeung et al. (2008)  
 Object in drain water SODW Uniform (0.25, 1.00) Assumption 
 Hand on object SOH Uniform (0.08, 0.27) AuYeung et al. (2008)  
Water film thickness (cm)       
 Hand or object Uniform (0.00241, 0.00499) US EPA (1987)  
Transfer efficiency, object to hand (%)       
 Coliphage TEOC 0.2759 Rusin et al. (2002)  
E. coli TEOEc 0.6580 Rusin et al. (2002)  
VariableSymbolParameterSource
Microbe concentration (log10/100 mL)       
 Coliphage CC Normal (5.56, 1.18) This study 
E. coli CEc Normal (8.60, 1.00) This study 
Time spent in the drain per entry event (hr)       
 Deliberate entry TD Determined from a hazard model of children's activities This study 
Frequency of contact with drain (#/drain entry event)       
 Accidental entry DA Poisson (1) Assumption 
 Incidental entry DI Poisson (1) Assumption 
 Deliberate entry DD Poisson (5×TDAssumption 
Area of surface (cm2      
 Hands, young childrena AY Uniform (244.4, 329.0) US EPA (2011)  
 Hands, older childrenb AM Uniform (380.7, 695.6) US EPA (2011)  
 Object AO Uniform (378.8, 1515.5) Assumption 
Object contacted (%)       
 Hand in drain water SHDW Uniform (0.08, 1.00) AuYeung et al. (2008)  
 Object in drain water SODW Uniform (0.25, 1.00) Assumption 
 Hand on object SOH Uniform (0.08, 0.27) AuYeung et al. (2008)  
Water film thickness (cm)       
 Hand or object Uniform (0.00241, 0.00499) US EPA (1987)  
Transfer efficiency, object to hand (%)       
 Coliphage TEOC 0.2759 Rusin et al. (2002)  
E. coli TEOEc 0.6580 Rusin et al. (2002)  

aChildren aged less than 5 years.

bChildren aged 5–12 years.

Table 2

Model parameters used to estimate dose distributions

VariableSymbolParameterSource
Object contacted (%) 
 Hand in mouth SHM Uniform (0.06, 0.33) AuYeung et al. (2007)  
Frequency of hand mouthing (#/hour) 
 Young childrena HMY Weibull (0.56, 3.41) Xue et al. (2007)  
 Older childrenb HMM Weibull (0.49, 1.47) Xue et al. (2007)  
Time microbes could be ingested (hours) 
 Time to hand washing THW Uniform (0.05, 4.10) Freeman et al. (2001)  
Transfer efficiency, hand to mouth (%) 
 Coliphage TEHC 0.3390 Rusin et al. (2002)  
E. coli TEHEc 0.3397 Rusin et al. (2002)  
VariableSymbolParameterSource
Object contacted (%) 
 Hand in mouth SHM Uniform (0.06, 0.33) AuYeung et al. (2007)  
Frequency of hand mouthing (#/hour) 
 Young childrena HMY Weibull (0.56, 3.41) Xue et al. (2007)  
 Older childrenb HMM Weibull (0.49, 1.47) Xue et al. (2007)  
Time microbes could be ingested (hours) 
 Time to hand washing THW Uniform (0.05, 4.10) Freeman et al. (2001)  
Transfer efficiency, hand to mouth (%) 
 Coliphage TEHC 0.3390 Rusin et al. (2002)  
E. coli TEHEc 0.3397 Rusin et al. (2002)  

aChildren aged less than 5 years.

bChildren aged 5–12 years.

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