The conformability of two equations for bacterial growth in pork

M. Miyahara, T. Matsumoto, H. Sakurai and P. Pipek
Additional contact information
M. Miyahara: 2 College of Bioresource Sciences, Nihon University, Fujisawa, Japan; Department of Food Preservation and Meat Technology, Institute of Chemical Technology, Prague, Czech Republic
T. Matsumoto: 2 College of Bioresource Sciences, Nihon University, Fujisawa, Japan; Department of Food Preservation and Meat Technology, Institute of Chemical Technology, Prague, Czech Republic
H. Sakurai: 2 College of Bioresource Sciences, Nihon University, Fujisawa, Japan; Department of Food Preservation and Meat Technology, Institute of Chemical Technology, Prague, Czech Republic
P. Pipek: 2 College of Bioresource Sciences, Nihon University, Fujisawa, Japan; Department of Food Preservation and Meat Technology, Institute of Chemical Technology, Prague, Czech Republic

Czech Journal of Food Sciences, 2002, vol. 20, issue 2, 69-73

Abstract: Pork is now distributed as cut meat, which increases the chance of contamination with bacteria. The rate of bacterial growth can be expressed by an exponential function. In order to find how the number of contaminating bacteria increases, we compared two functional equations for a growth curve. They are logistic: Yt = K (1 + m e-at) (1) and Gompertz: log Yt = log K + (log a)bt (2) equations (where Yt = the number of bacteria at the time t in min, m and a = coefficient, e = natural logarithm, K maximum number of bacteria). 90 ml of physiological salt solution was added to 10 g of pork. It was homogenized for 3 min, then incubated at 35°C for 13 hrs. The number of bacteria was counted every hour. We found from these data that the above two equations can be expressed as follows: Yt = 23 535 (1 + 16269 e-1.1608t) and log Yt = 8.9940 + (-3.1124) × 0.7839t. The theoretical and actual values matched well in equation (1), and the number of bacteria can be predicted accurately using this equation at a given time after incubation. The theoretical and actual values did not match well in equation (2) and its accuracy to predict the number of bacteria was very low except the initial number of bacteria was high.

Keywords: logistic equation; mathematical model; micro-organismus; Gompertz (search for similar items in EconPapers)
Date: 2002
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://cjfs.agriculturejournals.cz/doi/10.17221/3512-CJFS.html (text/html)
http://cjfs.agriculturejournals.cz/doi/10.17221/3512-CJFS.pdf (application/pdf)
free of charge

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:caa:jnlcjf:v:20:y:2002:i:2:id:3512-cjfs

DOI: 10.17221/3512-CJFS

Access Statistics for this article

Czech Journal of Food Sciences is currently edited by Ing. Zdeňka Náglová, Ph.D.

More articles in Czech Journal of Food Sciences from Czech Academy of Agricultural Sciences
Bibliographic data for series maintained by Ivo Andrle ().