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A New Theoretical Framework for Modeling Respiratory Protection Based on the Beta Distribution.
MedLine Citation:
PMID:  24942054     Owner:  NLM     Status:  Publisher    
Abstract/OtherAbstract:
The problem of modeling respiratory protection is well known and has been dealt with extensively in the literature. Often the efficiency of respiratory protection is quantified in terms of penetration, defined as the proportion of an ambient contaminant concentration that penetrates the respiratory protection equipment. Typically, the penetration modeling framework in the literature is based on the assumption that penetration measurements follow the lognormal distribution. However, the analysis in this study leads to the conclusion that the lognormal assumption is not always valid, making it less adequate for analyzing respiratory protection measurements. This work presents a formulation of the problem from first principles, leading to a stochastic differential equation whose solution is the probability density function of the beta distribution. The data of respiratory protection experiments were reexamined, and indeed the beta distribution was found to provide the data a better fit than the lognormal. We conclude with a suggestion for a new theoretical framework for modeling respiratory protection.
Authors:
Ziv Klausner; Eyal Fattal
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Publication Detail:
Type:  JOURNAL ARTICLE     Date:  2014-6-18
Journal Detail:
Title:  The Annals of occupational hygiene     Volume:  -     ISSN:  1475-3162     ISO Abbreviation:  Ann Occup Hyg     Publication Date:  2014 Jun 
Date Detail:
Created Date:  2014-6-19     Completed Date:  -     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0203526     Medline TA:  Ann Occup Hyg     Country:  -    
Other Details:
Languages:  ENG     Pagination:  -     Citation Subset:  -    
Copyright Information:
© The Author 2014. Published by Oxford University Press on behalf of the British Occupational Hygiene Society.
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