A stochastic differential equation for exposure yields a beta distribution

Annals of Occupational Hygiene

Volumn 48, Issue 5, 2004, Pages 491-497

  Flynn, Michael R ^a  

^a University of North Carolina at Chapel Hill   (United States)

Author keywords

Beta distribution; Exposure modeling; Stochastic differential equation

Indexed keywords

DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS; TRACE ANALYSIS; VENTILATION; STOCHASTIC SYSTEMS;

DILUTION VENTILATION EQUATION; EQUILIBRIUM SOLUTIONS;

OCCUPATIONAL DISEASES; PROBABILITY DISTRIBUTIONS;

ARTICLE; BETA DISTRIBUTION; CALIBRATION; INDUSTRIAL HYGIENE; OCCUPATIONAL EXPOSURE; PARAMETER; PRIORITY JOURNAL; STATISTICAL ANALYSIS; STOCHASTIC MODEL;

AIR POLLUTANTS; AIR POLLUTANTS, OCCUPATIONAL; ALGORITHMS; ENVIRONMENTAL MONITORING; HUMANS; OCCUPATIONAL EXPOSURE; PROBABILITY; RISK ASSESSMENT; STOCHASTIC PROCESSES;

BETA DISTRIBUTIONS; DILUTION VENTILATION; EQUILIBRIUM SOLUTIONS; EXPOSURE MODELING; STANDARD BETA DISTRIBUTION; STOCHASTIC DIFFERENTIAL EQUATIONS; TRACER CONCENTRATION; VENTILATION RATE;

EID: 3342886224     PISSN: 00034878     EISSN: None     Source Type: Journal    
DOI: 10.1093/annhyg/meh032     Document Type: Article

References (17)

1. ACGIH. (1998) Industrial ventilation - a manual of recommended practice, 23rd edn. Cincinnati, OH: American Conference of Governmental Industrial Hygienists.
2. Burgess WA, Ellenbecker MJ, Treitman RD. (1989) Ventilation for control of the work environment. New York: John Wiley & Sons.
3. Carlton G, Flynn MR. (1997) Field evaluation of an empiricalconceptual exposure model. Appl Occup Environ Hyg; 12: 555-61.
4. Cobb L, Thrall RM, editors. (1981) Mathematical frontiers of the social and policy sciences. AAAS Selected Symposium. Boulder, CO: Westview Press.
5. Flynn MR. (2004) The beta distribution - a physically consistent model for human exposure to airborne contaminants. Stoch Environ Res Risk Assess (in press).
6. Flynn MR, George DK. (1996) A field evaluation of a mathematical model to predict worker exposure to solvent vapors. Am Ind Hyg Assoc J; 11: 1212-16.
7. Flynn MR, Sills, E. (2000) On the use of computational fluid dynamics in the prediction and control of exposure to airborne contaminants - an illustration using spray painting. Ann Occup Hyg; 44: 191-202.
8. Flynn MR, Sills E. (2001) Numerical simulation of human exposure to aerosols generated during compressed air spray painting in cross-flow ventilated booths. ASME J Fluids Eng; 123: 64-70.
9. Flynn MR, Gatano B, McKeman J, Dunn K, Balzicko B, Carlton GN. (1999) Modeling worker exposure to airborne contaminants generated during compressed air spray painting. Ann Occup Hyg; 43: 67-76.
10. Hyun S, Kleinstreuer C. (2001) Numerical simulation of mixed convection heat and mass transfer in a human inhalation test chamber. Int J Heat Mass Transfer 44: 2247-60.
11. Johnson NL, Kotz S. (1970) Distributions in statistics: continuous univariate distributions-2. Boston, MA: Houghton Mifflin.
12. Lyles RH, Kupper LL, Rappaport SM. (1997) A lognormal distribution-based exposure assessment method for unbalanced data. Ann Occup Hyg; 41: 63-76.
13. NIOSH. (1999) Control technology and exposure assessment for occupational exposure to crystalline silica. Case 23-masonry tuck-pointing. ECTB 233-123c. US Dept. of Health and Human Services, Cincinnati, OH.
14. Rappaport SM, Goldberg M, Susi P, Herrick RF. (2003) Excessive exposure to silica in the US construction industry. Ann Occup Hyg; 47: 111-22.
15. Symanski E, Sallsten G, Chan W, Barregard L. (2001) Heterogeneity in sources of exposure variability among groups of workers exposed to inorganic mercury. Ann Occup Hyg; 45: 677-87.
16. Tan Y, Flynn MR. (2002). A field evaluation of the impact of transfer efficiency on worker exposure during spray painting. Ann Occup Hyg; 46: 103-12.
17. Tolentino D, Zenari E, Dall'Olio M, Ruani G, Gelormini A, Mirone G. (2003) Application of statistical models to estimate the corrrelation between urinary benzene as a biological indicator of exposure and air concentrations determined by personal monitoring. Am Ind Hyg Assoc J; 64: 625-9.