Design of experiments for improving the precision in the estimation of diffusion parameters under isothermal and non-isothermal conditions

International Journal of Food Science and Technology

Volumn 36, Issue 3, 2001, Pages 291-301

  Brandão, Teresa R S ^a   Oliveira, Fernanda A R ^b   Cunha, Luís M ^c  

^a CBQF CENTRO DE BIOTECNOLOGIA E QUÍMICA FINA LABORATÓRIO ASSOCIADO   (Portugal)

^b UNIVERSITY COLLEGE CORK   (Ireland)

^c UNIVERSIDADE FERNANDO PESSOA   (Portugal)

Author keywords

Activation energy; D optimal design; Diffusivity

Indexed keywords

ARRHENIUS;

EID: 0035648260     PISSN: 09505423     EISSN: None     Source Type: Journal    
DOI: 10.1046/j.1365-2621.2001.t01-1-00458.x     Document Type: Article

References (39)

1. Aguerre, R.J., Gabitto, J.F. & Chirife, J. (1985). Utilization of Fick's second law for the evaluation of diffusion coefficients in food processes controlled by internal diffusion. Journal of Food Technology, 20, 623-629.
2. Atkinson, A.C. & Donev, A.N. (1992). Optimum Experimental Designs. Pp. 106-115. Oxford: Oxford University Press.
3. Atkinson, A.C. & Hunter, W.G. (1968). The design of experiments for parameter estimation. Technometrics, 10, 271-289.
4. Atkinson, A.C. (1982). Developments in the design of experiments. International Statistical Review, 50, 161-177.
5. Azevedo, I.C.A., Oliveira, F.A.R. & Drumond, M.C. (1998). A study on the accuracy and precision of external mass transfer and diffusion coefficients jointly estimated from pseudo-experimental simulated data. Mathematics and Computers in Simulation, 48, 11-22.
6. Bates, D.M. & Watts, D.G. (1988). Non-Linear Regression Analysis and its Applications. Pp. 121-122. New York; John Wiley & Sons.
7. Beristain, C.I., Azuara, E., Cortés, R. et al. (1990). Mass transfer during osmotic dehydration of pineapple rings. International Journal of Food Science and Technology, 25, 576-582.
8. Boulanger, M. & Escobar, L.A. (1994). Experimental design for a class of accelerated degradation tests. Technometrics, 36, 260-272.
9. Box, G.E.P. & Hunter, W.G. (1965). Sequential design of experiments for non-linear models. In: Proceedings of the IBM Scientific Computing Symposium on Statistics. Pp. 113-137. New York: IBM.
10. Box, G.E.P., Hunter, W.G. & Hunter, J.S. (1978). Statistics for Experiments: an Introduction to design, data analysis and model building. Pp. 324-334. New York: John Wiley & Sons.
11. Box, G.E.P. & Lucas, H.L. (1959). Design of experiments in non-linear situations. Biometrika, 46, 77-90.
12. Box, M.J. (1968). The occurrence of replications in optimal designs of experiments to estimate parameters in non-linear models. Journal of the Royal Statistical Society, Series B, 30, 290-302.
13. Box, M.J. (1970). Some experiences with a non-linear experimental design criterion. Technometrics, 12, 569-589.
14. Brandão, T.R.S. & Oliveira, F.A.R. (1997). The influence of the temperature increase rate on the accuracy of diffusion parameters estimated under non-isothermal conditions. International Journal of Food Science & Technology, 32. 63-72.
15. Crank, J. (1975). The Mathematics of Diffusion. 2nd edn. Pp. 90-91, 104. London; Oxford University Press.
16. Cunha, L.M., Oliveira, F.A.R., Brandão, T.R.S. et al. (1997). Optimal experimental design for estimating the kinetic parameters of the Bigelow model. Journal of Food Engineering, 33, 111-128.
17. Cunha, L.M., Oliveira, F.A.R. & Oliveira, J.C. (1998). Optimal experimental design for estimating the kinetic parameters of processes described by the Weibull probability distribution function. Journal of Food Engineering, 37, 175-191.
18. Engels, C., Hendrickx, M., De Samblanx, S. et al. (1986). Modelling water diffusion during long-grain rice soaking. Journal of Food Engineering, 5, 55-73.
19. Floros, J.D. & Chinnan, M.S. (1990). Diffusion phenomena during chemical (NaOH) peeling of tomatoes. Journal of Food Science, 55, 552-553.
20. Frias, J.M., Oliveira, J.C., Cunha, L.M. et al. (1998). Application of D-optimal design for determination of the influence of water content on the thermal degradation kinetics of ascorbic acid in dry environments. Journal of Food Engineering, 38, 69-85.
21. Garrote, R.L., Bertone, R.A. & Silva, E.R. (1984). Effect of soaking-blanching conditions on glucose losses in potato slice. Canadian Institute of Food Science and Technology Journal, 17, 111-113.
22. Garrote, R.L., Silva, E.R. & Bertone, R.A. (1986). Losses by diffusion of ascorbic acid during water blanching of potato tissue. Lebensmittel Wissenchaft und Technology, 19, 263-265.
23. Garrote, R.L., Silva, E.R. & Bertone, R.A. (1988). Effect of freezing on diffusion of ascorbic acid during water heating of potato tissue. Journal of Food Science, 53, 473-487.
24. Haralampu, S.G., Saguy, I. & Karel, M. (1985). Estimation of Arrhenius model parameters using three least squares methods. Journal of Food Processing and Preservation, 9, 129-143.
25. Hsu, K.H. (1983). A diffusion model with a concentration-dependent diffusion coefficient for describing water movement in legumes during soaking. Journal of Food Science, 48, 618-622.
26. Malcata, F.X. (1992). Starting D-optimal designs for batch kinetic studies of enzyme-catalyzed reactions in the presence of enzyme deactivation. Biometrics, 48, 929-938.
27. McCarthy, M.J. & Heil, J.R. (1988). Measurements of acid diffusion in canned vegetables using pH sensitive indicators. Journal of Food Science, 53, 499.
28. Moreira, L.A., Oliveira, F.A.R. & Silva, T.R. (1992). Prediction of pH change in processed acidified turnips. Journal of Food Science, 57, 928-931.
29. Moreira, L.A., Oliveira, F.A.R., Silva, T.R. et al. (1993). Development of a non-isothermal method for determination of diffusional parameters. International Journal of Food Science & Technology, 28, 575-586.
30. Nelder, J.A. & Mead, R. (1965). A simplex method for function minimisation. Computer Journal, 7, 308-313.
31. Oliveira, F.A.R. (1988). Mass tranfer analysis for the leaching of water soluble components from foods. PhD Thesis. University of Leeds, UK.
32. Rice, P. & Selman, J.D. (1984). Technical note: apparent diffusivities of ascorbic acid in peas during water blanching. Journal of Food Technology, 19, 121-124.
33. Rodger, G., Hastings, R., Cryne, C. et al. (1984). Diffusion properties of salt and acid into herring and their subsequent effect on the muscle tissue. Journal of Food Science, 49, 714-720.
34. Schwartzberg, H.G. & Chao, R.Y. (1982). Solute diffusivities in leaching process. Food Technology, 36, 73-86.
35. St. John, R.C. & Draper, N.R. (1975). D-Optimality for regression designs: a review. Technometrics, 17, 15-23.
36. Stahl, R. & Loncin, M. (1979). Prediction of diffusion in solid foodstuffs. Journal of Food Processing and Preservation, 3, 213-223.
37. Steinberg, D.M. & Hunter, W.G. (1984). Experimental design: review and comment. Technometrics, 26, 71-130.
38. Steffe, J.F. & Singh, R.P. (1980). Diffusivity of starchy endosperm and bran of fresh and rewetted rice. Journal of Food Science, 45, 356-361.
39. Tomasula, P. & Kozempel, M.F. (1989). Diffusion coefficients of glucose, potassium, and magnesium in Maine Russet Burbank and Maine Katahdin potatoes from 45 to 90 °C. Journal of Food Science, 54, 1046.