Three Dimensional Mathematical Simulation for Predicting the Shelf Life of Tofu Packaged in a Semi-rigid Plastic Container

플라스틱 용기 포장 두부의 유통기간 예측을 위한 3차원 수치모사

  • Published : 2009.06.30


In this research, three dimensional mathematical models were developed to predict the shelf life of tofu packaged in a semi-rigid plastic container. A model combining oxygen transfer through the package and oxygen consumption within the package was considered. According to the results, the model simulations estimated that the number of microorganisms in the filled water was higher than that in the tofu, suggesting the shelf life of packaged tofu was not affected by the number of microorganisms in the tofu product, but rather by the number of organisms in the filled water. Additionally, the effects of the physical properties of the packaging material, such as oxygen permeability through the package, oxygen diffusion coefficient, the initial oxygen concentration in the filled water, and the depth of the filled water in the packaged tofu, were also observed.


shelf-life;semi-solid packages;packaged tofu;simulation


  1. Peppas NA, Khanna R. Mathematical analysis of transport properties of polymer films for food packaging II. Generalized water vapor models. Polym. Eng. Sci. 26: 281-289 (1979)
  2. Quast DG, Karel M. Computer simulation of storage life of foods undergoing spoilage by two interacting mechanisms. J. Food Sci. 37: 165-169 (1972)
  3. Moon SY, Woo GJ, Shin IS. Development of predictive growth model of Listeria monocytogenes using mathematical quantitative assessment model. Korean J. Food Sci. Technol. 37: 194-198 (2005)
  4. Fennema PR. Vitamins and minerals. pp. 477-482. In: Food Chemistry. Fennema PR. (ed). Mercel Dekker, Inc., New York, NY, USA (1986)
  5. Han BZ, Rombouts FM, Robert Nout MJ. A Chinese fermented soybean food. Int. J. Food Microbiol. 65: 1-10 (2001)
  6. Shin IS. Development of shelf life prediction model of tofu using mathematical quantitative assessment model. Food Ind. Nutr. 10: 11-16 (2006)
  7. Srivastava S, Srivastava AK. Biological phosphate removal by model based fed-batch cultivation of Acinetobacter calcoaceticus. Biochem. Eng. J. 40: 227-232 (2008)
  8. Hernandez RJ, Selke EM, Culter JD. Major plastics in packaging. pp. 89-102. In: Plastics Packaging: Properties, Processing, Applications, and Regulations. Hanser Gardner Publications, Inc., Cincinnati, OH, USA (2000)
  9. Barron HF. Finite element computer simulation of oxygen diffusion in packaged liquids. Packag. Technol. Sci. 6: 311-321 (1993)
  10. Kim JN, Harte BR. Three-dimensional oxygen diffusion into a packaged liquid food system with simultaneous oxidation of vitamin C. Food Sci. Biotechnol. 5: 316-321 (1996)
  11. Kim YS, Choi YM, Noh DO, Cho SY, Suh HJ. The effect of oyster shell powder on the extension of the shelf life of tofu. Food Chem. 103: 155-160 (2007)
  12. Tang CH, Li L, Wang JL, Yang XQ. Formation and rheological properties of 'cold-set' tofu induced by microbial transglutaminase. LWT-Food Sci. Technol. 40: 579-586 (2007)