Abstract
A comprehensive treatment of the mathematical basis for modeling the disinfection process for air using ultraviolet germicidal irradiation (UVGI). A complete mathematical description of the survival curve is developed that incorporates both a two stage inactivation curve and a shoulder. A methodology for the evaluation of the three-dimensional intensity fields around UV lamps and within reflective enclosures is summarized that will enable determination of the UV dose absorbed by aerosolized microbes. The results of past UVGI studies on airborne pathogens are tabulated. The airborne rate constant for Bacillus subtilis is confirmed based on results of an independent test. A re-evaluation of data from several previous studies demonstrates the application of the shoulder and two-stage models. The methods presented here will enable accurate interpretation of experimental results involving aerosolized microorganisms exposed to UVGI and associated relative humidity effects
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References
R.L. Abshire, H. Dunton, Applied and Environmental Microbiology 41, 1419–1423 (1981).
A. Anellis, N. Grecz, D. Berkowitz, Applied Microbiology 13, 397–401 (1965).
S.C. Antopol, P.D. Ellner, Applied and Environmental Microbiology 38, 347–348 (1979).
A. Asthana, R.W. Tuveson, International Journal of Plant Science 153, 442–452 (1992).
C.B. Beggs, K.G. Kerr, J.K. Donelly, P.A. Sleigh, D.D. Mara, G. Cairns, Transactions of the Royal Society of Tropical Medicine and Hygiene 94, 141–146 (2000).
E.F. Blatchley, Water Research 31, 2205–2218 (1997).
A.P. Casarett, Radiation Biology (Prentice-Hall, Englewood, 1968).
O. Cerf, Journal of Applied Bacteriology 42, 1–19 (1977).
H. Chick, Journal of Hygiene 8, 92 (1908).
F.M. Collins, Applied Microbiology 21, 411–413 (1971).
H.L. David, The American Review of Respiratory Disease 108, 1175–1184 (1973).
I.A. Davidovich, G.P. Kishchenko, Molecular Genetics, Microbiology and Virology 6, 13–16 (1991).
W.B. Elmer, The Optical Design of Reflectors (TLA Lighting Consultants, Inc., Salem, MA, 1989).
H. Fujikawa, T. Itoh, Applied Microbiology 62, 3745–3749 (1996).
G.J. Galasso, D.G. Sharp, Journal of Bacteriology 90, 1138–1142 (1965).
F.L. Gates, Journal of General Physiology 13, 231–260 (1929).
R.W. Gilpin, in Legionella: Proceedings of the 2nd International Symposium, edited by C. Thornsberry (American Society for Microbiology, Washington, 1984).
W. Harm, Biological Effects of Ultraviolet Radiation (Cambridge University Press, New York, 1980)
W.F. Hill, F.E. Hamblet, W.H. Benton, E.W. Akin, Applied Microbiology 19, 805–812 (1970).
IES, Lighting Handbook Application Volume (Illumination Engineering Society, 1970).
S.M. Jacob, J.S. Dranoff, AIChE Journal 16, 359–363 (1970).
M.M. Jensen, Applied Microbiology 12, 418–420 (1964).
L.C. Keller, T.L. Thompson, R.B. Macy Applied and Environmental Microbiology 43, 424–429 (1982).
G.B. Knudson, Applied and Environmental Microbiology 52, 444–449 (1986).
A.L. Koch, Bacterial Growth and Form (Chapman & Hall, New York, 1995).
W.J. Kowalski, W.P. Bahnfleth, ASHRAE Transactions 106, 4–15 (2000).
W.J. Kowalski, PhD Thesis, The Pennsylvania State University (2001).
O.M. Lidwell, E.J. Lowbury, Annual Review of Microbiology 14, 38–43 (1950).
J.S. Little, R.A. Kishimoto, P.G. Canonico, Infection Immunity 27, 837–841 (1980).
M. Luckiesh, Applications of Germicidal, Erythemal and Infrared Energy (D. Van Nostrand Co., New York, 1946).
E. Mitscherlich, E.H. Marth, Microbial Survival in the Environment (Springer-Verlag, Berlin, 1984).
W.A. Moats, R. Dabbah, V.M. Edwards, Journal of Food Science 36, 523–526 (1971).
M.F. Modest, Radiative Heat Transfer (McGraw-Hill, New York, 1993).
J. Mongold, Genetics 132, 893–898 (1992).
N. Munakata, M. Saito, K. Hieda, Photochemistry and Photobiology 54, 761–768 (1991).
Philips, Germicidal Lamps and Applications (Catalog No. U.D.C. 628.9, Netherlands, 1985).
K.M. Pruitt, D.N. Kamau, Journal of Industrial Microbiology 12, 221–231 (1993).
R.G. Qualls, J.D. Johnson, Applied Microbiology 45, 872–877 (1983).
R.O. Rahn, P. Xu, S.L. Miller. Photochemistry and Photobiology 70, 314–318 (1999).
A.J. Rainbow, S. Mak, International Journal of Radiation Biology 24, 59–72 (1973).
H.C. Rentschler, R. Nagy, G. Mouromseff, Journal of Bacteriology 42, 745–774 (1941).
H.C. Rentschler, R. Nagy, Journal of Bacteriology 44, 85–94 (1942).
R.L. Riley, M. Knight, G. Middlebrook, American Review of Respiratory Disease 113, 413–418 (1976).
R.L. Riley, J.E. Kaufman, Applied Microbiology 23, 1113–1120 (1972).
W.M. Rohsenow, J.P. Hartnett, Handbook of Heat Transfer (McGraw-Hill, New York, 1973).
A.D. Russell, The Destruction of Bacterial Spores (Academic Press, New York, 1982).
B.F. Severin, M.T. Suidan, R.S. Englebrecht, Water Research 17, 1669–1678 (1983).
B.F. Severin, M.T. Suidan, B.E. Rittmann, R.S. Englebrecht, Journal of Water Pollution Control 56, 164–169 (1984).
B.F. Severin, P.F. Roessler, Water Research 32, 1718–1724 (1998).
G. Sharp, Journal of Bacteriology 37, 447–459 (1939).
G. Sharp, Journal of Bacteriology 38, 535–547 (1940).
G.H. Smerage, A.A. Teixeira, Journal of Industrial Microbiology 12, 211–220 (1993).
M.T. Suidan, B.F. Severin, AIChE Journal 32, 1902–1909 (1986).
UVDI, Report on Bioassays of S. marscecens and B. subtilis exposed to UV irradiation. Ultraviolet Devices, Inc. (2000).
Y. Wang, A. Casadevall, Applied Microbiology 60, 3864–3866 (1994).
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Kowalski, W.J., Bahnfleth, W.P., Witham, D.L. et al. Mathematical Modeling of Ultraviolet Germicidal Irradiation for Air Disinfection. Quantitative Microbiology 2, 249–270 (2000). https://doi.org/10.1023/A:1013951313398
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DOI: https://doi.org/10.1023/A:1013951313398