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Study and Mathematical Modeling of Transient Gas Compositions for Modified Atmosphere Packaging

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Analysis and Design of Biological Materials and Structures

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 14))

Abstract

A generic method for keeping quality and quantity of fruits and vegetables named Modified Atmosphere Packaging is introduced. In this work, the interactions between respiration rates, permeability coefficients and headspace gas compositions are studied and the system is modeled mathematically. The dynamics of the system were solved using a fourth order Runge–Kutta method. A computer simulation package developed for analyses of mathematical aspects. Time to achieve equilibrium, equilibrium conditions and transient patterns compared under different permeation rates. A new performance index used as Integral of Time for Absolute Error (ITAE) based on dynamics of gas compositions to evaluate transient patterns for each gas. In this research, the permeability of some polymers from literature and theoretical packaging materials were studied and it was found that the behavior of each gas is different with others and the pattern of achieving the equilibrium depends on packaging permeability coefficients.

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References

  1. Kader, A.A., Zagory, D., Kerbel, E.L.: Modified atmosphere packaging of fruits and vegetables. Crit Rev Food Sci Nutr. 28, 1–30 (1989)

    Article  CAS  Google Scholar 

  2. Saltveit, ME: A summary of CA and MA requirements and recommendations for harvested vegetables. In: Saltveit, M.E. (ed.) Proceedings of the 7th international controlled atmosphere research conference: Vol. 4, pp. 98–117. Davis, CA, USA (1997)

    Google Scholar 

  3. Zagory, D., Kader, A.A.: Modified atmosphere packaging of fresh produce. J Food Technol. 42, 70–77 (1988)

    Google Scholar 

  4. Day, B.: High oxygen modified atmosphere packaging for fresh prepared produce. Post harvest News Inf. 7, 31–34 (1996)

    Google Scholar 

  5. Ballantyne, A., Stark, R., Selman, J.D.: Modified atmosphere packaging of shredded lettuce. Int J Food Sci Technol 23, 267–274 (1988)

    Google Scholar 

  6. Jacxsens, L., Devlieghere, F., Debevere, J.: Validation of a systematic approach to design equilibrium modified atmosphere packages for fresh-cut produce. Lebensm.-Wiss u-Technol. 32, 425–432 (1999)

    Article  CAS  Google Scholar 

  7. Paul, D.R., Clarke, R.: Modeling of modified atmosphere packaging based on designs with a membrane and perforations. J Membr Sci. 208, 269–283 (2002)

    Article  CAS  Google Scholar 

  8. Beaudry, R.M.: Effect of O2 and CO2 partial pressure on selected phenomena affecting fruit and vegetable quality. Postharvest Biol Technol 15. 293–303 (1999)

    Article  Google Scholar 

  9. Beaudry, R.M., Cameron, A.C., Shirazi, A., DostalLange, D.L.: Modified atmosphere packaging of blueberry fruit: effect of temperature on package O2 and CO2. Journal of the American Society for Horticultural Science 117, 436–441 (1992)

    Google Scholar 

  10. Beaudry, R.M.: Effect of carbon dioxide partial pressure on blueberry fruit respiration and respiratory quotient. Postharvest Biol Technol 3. 249–258 (1993)

    Article  CAS  Google Scholar 

  11. Smyth, A.B., Song, J., Cameron, A.C.: Modified atmosphere packaged cut iceberg lettuce: effect of temperature and O2 partial pressure on respiration and quality. J Agric Food Chem. 46, 4556–4562 (1998)

    Article  CAS  Google Scholar 

  12. Chaudhary, B.I., Johns, A.I.: Solubilities of Nitrogen, Isobutane and Carbon Dioxide in polyethylene. J Cell Plast 34. 312–328 (1998)

    CAS  Google Scholar 

  13. Salvador, ML, Jaime PJ, Oria, R.: Modeling of O2 and CO2 Exchange dynamics in modified atmosphere packaging of burlat cherries. J Food Sci. 67, 231–235 (2002)

    Article  CAS  Google Scholar 

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Correspondence to I. Alemzadeh .

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Heydari, A., Alemzadeh, I., Vossoughi, M. (2012). Study and Mathematical Modeling of Transient Gas Compositions for Modified Atmosphere Packaging. In: Öchsner, A., da Silva, L., Altenbach, H. (eds) Analysis and Design of Biological Materials and Structures. Advanced Structured Materials, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22131-6_13

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