Kinetic parameter estimation in conduction heating foods subjected to dynamic thermal treatments

Journal of Food Science

Volumn 62, Issue 3, 1997, Pages 529-534

  Welt, B A ^a   Teixeira, A A ^b   Balaban, M O ^c   Smerage, G H ^b   Hintinlang, D E ^d   Smittle, B J ^e  

^a NESTLÉ RESEARCH CENTER   (Switzerland)

^b Agric and Biol Engineering Dept

^c Dept of Food Sci and Hum Nutr ^*

^d UNIVERSITY OF FLORIDA   (United States)

^e Florida Department of Agriculture   (United States)

Author keywords

Arrhenius; Kinetics; Parameter estimation; Thermal process

Indexed keywords

ARRHENIUS; BACTERIA (MICROORGANISMS); GEOBACILLUS STEAROTHERMOPHILUS; PISUM SATIVUM;

EID: 1842416002     PISSN: 00221147     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1365-2621.1997.tb04423.x     Document Type: Article

References (38)

1. Agarwal, A.K. and Brisk, M.L. 1984. Sequential experimental design for precise parameter estimation. Ind. Eng. Chem. Process Des. Dev. 24: 203-207.
2. Ahmed, N.M., Conner, D.E., and Huffman, D.L. 1995. Heat-resistance of Escherichia coli (O157:H7) in meat and poultry as affected by product composition. J. Food Sci. 60(3): 606-610.
3. Alderton, G., Chen, J.K., and Ito, K.A. 1974. Effect of lysozyme on the recovery of heated Clostridium botulinum spores. Appl. Mircrobiol. 27(3): 613-615.
4. Biegler, L.T., Damiano, J.J., and Blau, G.E. 1986. Nonlinear parameter estimation: A case study comparison. AIChE J. 32(1): 29-45.
5. Chai, T.J. and Liang, K.T. 1992. Thermal resistance of spores from five type E Clostridium botulinum strains in eastern oyster homogenates. J. Food Protect. 55(1): 18-22.
6. Cohen, E. and Saguy, I. 1985. Statistical evaluation of Arrhenius model and its application in prediction of food quality losses. J. Food Proc. Preserv. 9: 273-290.
7. Espie, D.M. and Macchietto, S.M. 1988. Nonlinear transformations for parameter estimation. Ind. Eng. Chem. Res. 27: 2175-2179.
8. Fernandez, P.S., Ocio, M.J., Sanchez, T., and Martinez, A. 1994. Thermal resistance of Bacillus stearothermophilus spores heated in acidified mushroom extract. J. Food Protect. 57(1): 37-41.
9. Fernandez, P.S., Gomez, F.J., Ocio, M.J., Rodrigo, M., Sanchez, T., and Martinez, A. 1995. D values of Bacillus stearothermophilus spores as a function of pH and recovery medium acidulant. J. Food Protect. 58(6): 628-632.
10. Gonzalez, I., Lopez, M., Mazas, M., Gonzalez, J., and Bernardo, A. 1995. The effect of recovery conditions on the apparent heat resistance of Bacillus cereus spores. J. Appl. Bacteriol. 78: 548-554.
11. Gould, G.W. 1985. Modification of resistance and dormancy. In Fundamental and Applied Aspects of Bacterial Spores, G.F. Dring, D.F. Ellar and G.W. Gould (Ed.), p. 371-382. Academic Press, Inc. New York.
12. Juneja, V.K., Eblen, B.S., Marmer, B.S., Williams, A.C., Palumbo, S.A., and Miller, A.J. 1995. Thermal resistance of nonproteolytic type B and type E Clostridium botulinum spores in phosphate buffer and turkey slurry. J. Food Protect. 58(7): 758-763.
13. Kim, I.W., Liebman, M.J., and Edgar, T.F. 1990. Robust error-in-variables estimation using nonlinear programming techniques. AIChE J. 36(7): 985-993.
14. Lenz, M.K. and Lund, D.B. 1980. Experimental procedures for determining destruction kinetics of food components. Food Technol. 34(2): 51-55.
15. Lienhard, J.H. 1987. A Heat Transfer Textbook, 2nd ed. Prentice-Hall, Inc., Englewood Cliffs, NJ.
16. Lobo, L.S. and Lobo, M.S. 1991. Robust and efficient nonlinear regression of kinetic systems using a direct search method. Computers Chem. Eng. 15(2): 141-144.
17. Lynch, D.J. and Potter, N.N. 1988. Effects of organic acids on thermal inactivation of Bacillus stearothermophilus and Bacillus coagulans spores in frankfurter emulsion slurry. J. Food Protect. 51(6): 475-480.
18. Lynch, D.J. and Potter, N.N. 1989. Effects of acidification and processing variables on thermal inactivation of Bacillus coagulans spores in meat particulates. J. Food Protect. 52(5): 320-328.
19. Maesmans, G., Hendrickx, M., DeCordt, S., and Tobback, P. 1995. Theoretical consideration of the general validity of the equivalent point method in thermal process evaluation. J. Food Eng. 24: 225-248.
20. Mallidis, C.G. and Drizou, D. 1991. Effect of simultaneous application of heat and pressure on the survival of bacterial spores. J. Appl. Bacteriol. 71: 285-288.
21. Marquardt, D.W. 1959. Solution of nonlinear chemical engineering models. Chem. Eng. Progress. 55(6): 65-70.
22. Marquardt, D.W. 1963. An algorithm for least-squares estimation of nonlinear parameters. J. Soc. Indust. Appl. Math. 11(2): 431-441.
23. Mikolajcik, E.M. and Rajkowski, K.T. 1980. Simple technique to determine heat resistance of Bacillus stearothermophilus spores in fluid systems. J. Food Protect. 43(10): 799-804.
24. Nash, J.C. 1977. Minimizing a nonlinear sum of squares function on a small computer. J. Inst. Math. Applicat. 19: 231-237.
25. Nasri, H., Simpson, R., Bouzas, J., and Torres, J.A. 1993. An unsteady-state method to determine kinetic parameters for heat inactivation of quality factors: Conduction-heated foods. J. Food Eng. 19: 291-301.
26. Perkins, W.E., Ashton, D.H., and Evancho, G.M. 1975. Influence of the z value of Clostridium botulinum on the accuracy of process calculations. J. Food Sci. 40: 1189-1192.
27. Perry, R.H. and Green, D.W. 1984. Perry's Chemical Engineers' Handbook, 6th ed. McGraw-Hill, Inc., New York.
28. Press, W.H., Teukolsky, S.A., Vetterling, W.T., and Flannery, B.P. 1992 or 1992? Numerical Recipes in FORTRAN. Cambridge University Press, Inc., New York.
29. Reed, J.M., Bohrer, C.W., and Cameron, E.J. 1951. Spore destruction rate studies on organisms of significance in the processing of canned foods. Food Res. 16: 383-408.
30. Sapru, V., Teixeira, A.A., Smerage, G.H., and Lindsay, J.A. 1992. Predicting thermophilic spore population dynamics for UHT sterilization processes. J. Food Sci. 57(5): 1248-1252, 1257.
31. Sedlák, M., Vinter, V., Ademec, J., Vohradský, J., Voburka, Z., and Chaloupka, J. 1993. Heat shock applied early in sporulation affects heat resistance of Bacillus megaterium spores. J. Bacteriol. 175(24): 8049-8052.
32. Swartzel, K.R. 1984. A continuous flow procedure for reaction kinetic data generation. J. Food Sci. 49(3): 803-806.
33. Watts, D.G. 1994. Estimating parameters in nonlinear rate equations. Can. J. Chem. Eng. 72: 701-710.
34. Welt, B.A. 1996. Kinetic Parameter Estimation in Prepackaged Foods Subjected to Dynamic Thermal Treatments, Ph.D. thesis, Univ. of Florida, Gainesville, FL.
35. Welt, B.A., Teixeira, A.A., Balaban, M.O. and Smerage, G.H. 1997a. Iterative method for kinetic parameter estimation from dynamic thermal treatments. J. Food Sci. 62(1): 1-6.
36. Welt, B.A., Teixeira, A.A., Chau K.V., Balaban, M.O. and Hintenlang, D.E. 1997b. Heat transfer simulation for thermal process design. J. Food Sci. In press.
37. Welt, B.A., Teixeira, A.A., Lindsay, J.A., and Balaban, M.O. 1995. Kinetic parameter estimation from transient thermal treatments in conduction heating foods: Non-linear optimization. Presented at Ann. Mtg., Inst. of Food Technologists, Anaheim, Calif., June 3-7.
38. Welt, B.A., Tong, C.H., Rossen, J.L., and Lund, D.B. 1994. Effect of microwave radiation on inactivation of Clostridium sporogenes (PA 3676) spores. Appl. Environ. Microbiol. 60(2): 482-488.