A New Theoretical Framework for Modeling Respiratory Protection Based on the Beta Distribution.

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...

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Publicado en:Annals of Occupational Hygiene Vol. 58; no. 7; pp. 1 - 2
Autores principales: Klausner, Ziv, Fattal, Eyal
Formato: equations & formulas research tables/charts Journal Article
Publicado: Oxford University Press / USA Aug2014
Acceso en línea:Ver este registro en EBSCOhost
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        atl: A New Theoretical Framework for Modeling Respiratory Protection Based on the Beta Distribution.
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          Klausner, Ziv
          Fattal, Eyal
        affil: Applied Math Department, Israel Institute for Biological Research , PO Box 19, Ness-Ziona , 74100 Israel
      sug:
        subj:
          Models, Theoretical
          Conceptual Framework
          Respiratory Protective Devices Evaluation
          Measurement Issues and Assessments
          Experimental Studies
          Models, Statistical
          Parametric Statistics
      ab: 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.
      pubtype: Academic Journal
      doctype:
        equations & formulas
        research
        tables/charts
        Journal Article
      ougenre: Article
    language: English
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