A Bayesian method of estimating kinetic parameters for the inactivation of Cryptosporidium parvum oocysts with chlorine dioxide and ozone

Mano Sivaganesan; Eugene W. Rice; Benito J. Mariñas

doi:10.1016/S0043-1354(03)00412-3

A Bayesian method of estimating kinetic parameters for the inactivation of Cryptosporidium parvum oocysts with chlorine dioxide and ozone

Mano Sivaganesan, Eugene W. Rice, Benito J. Mariñas

Research output: Contribution to journal › Article › peer-review

Abstract

The main objective of this paper is to use Bayesian methods to estimate the kinetic parameters for the inactivation kinetics of Cryptosporidium parvum oocysts with chlorine dioxide or ozone which are characterized by the delayed Chick-Watson model, i.e., a lag phase or shoulder followed by pseudo-first-order rate of inactivation. As the length of the lag phase (CT _lag) is not known, Bayesian statistics provides a more accurate approach than traditional statistical methods to fitting the delayed Chick-Watson kinetics. Markov Chain Monte Carlo method is used to estimate CT_lag and first-order rate constant values. This method is also used to estimate the minimum CT requirement (with safety factor) for 99% inactivation of C. parvum oocysts.

Original language	English (US)
Pages (from-to)	4533-4543
Number of pages	11
Journal	Water Research
Volume	37
Issue number	18
DOIs	https://doi.org/10.1016/S0043-1354(03)00412-3
State	Published - Nov 2003

Keywords

Inactivation
Lag phase
MCMC method
Posterior distribution
Prior distribution
Rate constant

ASJC Scopus subject areas

Water Science and Technology
Ecological Modeling
Pollution
Waste Management and Disposal
Environmental Engineering
Civil and Structural Engineering

Online availability

10.1016/S0043-1354(03)00412-3

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title = "A Bayesian method of estimating kinetic parameters for the inactivation of Cryptosporidium parvum oocysts with chlorine dioxide and ozone",

abstract = "The main objective of this paper is to use Bayesian methods to estimate the kinetic parameters for the inactivation kinetics of Cryptosporidium parvum oocysts with chlorine dioxide or ozone which are characterized by the delayed Chick-Watson model, i.e., a lag phase or shoulder followed by pseudo-first-order rate of inactivation. As the length of the lag phase (CT lag) is not known, Bayesian statistics provides a more accurate approach than traditional statistical methods to fitting the delayed Chick-Watson kinetics. Markov Chain Monte Carlo method is used to estimate CTlag and first-order rate constant values. This method is also used to estimate the minimum CT requirement (with safety factor) for 99% inactivation of C. parvum oocysts.",

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AU - Sivaganesan, Mano

AU - Rice, Eugene W.

AU - Mariñas, Benito J.

PY - 2003/11

Y1 - 2003/11

N2 - The main objective of this paper is to use Bayesian methods to estimate the kinetic parameters for the inactivation kinetics of Cryptosporidium parvum oocysts with chlorine dioxide or ozone which are characterized by the delayed Chick-Watson model, i.e., a lag phase or shoulder followed by pseudo-first-order rate of inactivation. As the length of the lag phase (CT lag) is not known, Bayesian statistics provides a more accurate approach than traditional statistical methods to fitting the delayed Chick-Watson kinetics. Markov Chain Monte Carlo method is used to estimate CTlag and first-order rate constant values. This method is also used to estimate the minimum CT requirement (with safety factor) for 99% inactivation of C. parvum oocysts.

AB - The main objective of this paper is to use Bayesian methods to estimate the kinetic parameters for the inactivation kinetics of Cryptosporidium parvum oocysts with chlorine dioxide or ozone which are characterized by the delayed Chick-Watson model, i.e., a lag phase or shoulder followed by pseudo-first-order rate of inactivation. As the length of the lag phase (CT lag) is not known, Bayesian statistics provides a more accurate approach than traditional statistical methods to fitting the delayed Chick-Watson kinetics. Markov Chain Monte Carlo method is used to estimate CTlag and first-order rate constant values. This method is also used to estimate the minimum CT requirement (with safety factor) for 99% inactivation of C. parvum oocysts.

KW - Inactivation

KW - Lag phase

KW - MCMC method

KW - Posterior distribution

KW - Prior distribution

KW - Rate constant

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A Bayesian method of estimating kinetic parameters for the inactivation of Cryptosporidium parvum oocysts with chlorine dioxide and ozone

Abstract

Keywords

ASJC Scopus subject areas

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