Skip to main content

How to Decide on Modeling Details: Risk and Benefit Assessment

  • Chapter
  • First Online:

Part of the book series: Advances in Biochemical Engineering/Biotechnology ((ABE,volume 161))

Abstract

Mathematical models based on thermodynamic, kinetic, heat, and mass transfer analysis are central to this chapter. Microbial growth, death, enzyme inactivation models, and the modeling of material properties, including those pertinent to conduction and convection heating, mass transfer, such as diffusion and convective mass transfer, and thermodynamic properties, such as specific heat, enthalpy, and Gibbs free energy of formation and specific chemical exergy are also needed in this task. The origins, simplifying assumptions, and uses of model equations are discussed in this chapter, together with their benefits. The simplified forms of these models are sometimes referred to as “laws,” such as “the first law of thermodynamics” or “Fick’s second law.” Starting to modeling a study with such “laws” without considering the conditions under which they are valid runs the risk of ending up with erronous conclusions. On the other hand, models started with fundamental concepts and simplified with appropriate considerations may offer explanations for the phenomena which may not be obtained just with measurements or unprocessed experimental data. The discussion presented here is strengthened with case studies and references to the literature.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

References

  1. Özilgen M, Sorgüven E (2016) Biothermodynamics. Taylor & Francis, Boca Raton

    Google Scholar 

  2. Özilgen M (2011) Handbook of food process modeling and statistical quality control. Taylor and Francis, Boca Raton

    Book  Google Scholar 

  3. Özilgen M (1998) Food process modeling and control, chemical engineering applications. Gordon and Breach, Amsterdam

    Google Scholar 

  4. Sorgüven E, Özilgen M (2012) Energy utilization, carbon dioxide emission, and exergy loss in flavored yogurt production process. Energy 40:214–225

    Article  Google Scholar 

  5. Barreiro JA, Milano M, Sandoval AJ (1997) Kinetics of color change of double concentrated tomato paste during thermal treatment. J Food Eng 33:359–371

    Article  Google Scholar 

  6. Koukouch A, Idlimam A, Asbik M, Brahim Sarh B, Izrar B, Bostyn S, Bah A, Omar Ansari O, Zegaoui O, Amine A (2017) Experimental determination of the effective moisture diffusivity and activation energy during convective solar drying of olive pomace waste. Renew Energy 101:565–574

    Article  Google Scholar 

  7. Gomez de la Cruz FJ, Palomar-Carnicero JM, Casanova-Pelaez PJ, Cruz-Peragon F (2015) Experimental determination of effective diffusivity during the drying of clean olive stone: dependence of temperature, moisture, moisture content and thickness. Fuel Process Technol 137:320–326

    Article  CAS  Google Scholar 

  8. Caldeira I, Santos R, Ricardo-da-Silva JM, Anjos O, Mira H, Belchior AP, Canas S (2016) Kinetics of odorant compounds in wine brandies aged in different systems. Food Chem 211:937–946

    Article  CAS  Google Scholar 

  9. Glasscock DA, Hale JC (1994) Process simulation: the art and science of modeling. Chem Eng 101(11):82–89

    CAS  Google Scholar 

  10. Bender PS (1981) Mathematical modeling of the 20/80 rule: theory and practice. J Bus Logistics 2:139–157

    Google Scholar 

  11. Furman ME (1997) Reverse the 80–20 rule. Manag Rev 86(1):18–21

    Google Scholar 

  12. Marks BP (2008) Status of microbial modeling in food process models. Compr Rev Food Sci Food Safety 7:137–143

    Article  Google Scholar 

  13. Lebert I, Lebert A (2006) Quantitative prediction of microbial behaviour during food processing using an integrated modeling approach: a review. Int J Refrig 29:968–984

    Article  Google Scholar 

  14. Bird RB, Steward WE, Lightfoot EN (1960) Transport phenomena. Wiley, New York

    Google Scholar 

  15. Özilgen S, Özilgen M (1991) A model for pasteurization with microwaves in a tubular flow reactor. Enzyme Microb Technol 13:419–423

    Article  Google Scholar 

  16. Case KE, Fair RC, Oster SE (2009) Principles of microeconomics, 9th edn. Pearson Prentice Hall, Upper Saddle River

    Google Scholar 

  17. Niklas KJ, Cobb ED (2008) Evidence for “diminishing returns” from the scaling of stem diameter and specific leaf area. Am J Bot 95:549–557.

    Google Scholar 

  18. Daniels F, Alberty RA (1975) Physical chemistry, 4th edn. Wiley, New York

    Google Scholar 

  19. Balmer RT (1982) Entropy and aging in biological systems. Chem Eng Commun 17:171–181

    Article  CAS  Google Scholar 

  20. Schrödinger E (1944) What is life? The physical aspects of a living cell. Cambridge University Press, Cambridge

    Google Scholar 

  21. Einstein EM, Eisenstein DL, Sarma JSM, Knapp H, Smith JC (2012) Some new speculative ideas about the “behavioral homeostasis theory” as to how the simple learned behaviors of habituation and sensitization improve organism survival throughout phylogeny. Commun Integr Biol 5(3):233–239

    Article  Google Scholar 

  22. Park S-H (1992) Falling oil prices and exchange rate fluctuation. In: Shojai S, Katz BS (eds) The oil market in the 1980s. Praeger, New York

    Google Scholar 

  23. Carlsson-Kanyama A (1998) Climate change and dietary choices - how can emissions of greenhouse gases from food consumption be reduced. Food Policy 23:277–293

    Article  Google Scholar 

  24. CIAA (2007) Managing the environmental stability in the European food & drink industries. Confederation of the Food and Drink Industries of the EU, Brussels. Available at http://www.fooddrinkeurope.eu/documents/brochures/brochure_CIAA_envi.pdf. Accessed 22 Feb 2015

  25. Foster C, Green K, Bleda M, Dewick P, Evans B, Flynn A, Mylan J (2006) Environmental impacts of food production and consumption: a report to Department of Environment, Food and Rural Affairs. Manchester Business School. Defra, London. Available at http://www.ifr.ac.uk/waste/Reports/DEFRA-Environmental%20Impacts%20of%20Food%20Production%20%20Consumption.pdf. Accessed 5 Jan 2017

  26. Smith P et al (2014) Agriculture, Forestry and Other Land Use (AFOLU). In: Edenhofer et al (ed) Climate change 2014: mitigation of climate change. Contribution of working group III to the fifth assessment report of the intergovernmental panel on climate change. Cambridge University Press, Cambridge. Available at https://www.ipcc.ch/pdf/assessment-report/ar5/wg3/ipcc_wg3_ar5_chapter11.pdf. Accessed 25 July 2016

  27. Carlsson-Kanyama A, Faist M (2008) Energy use in the food sector: a data survey. Available at http://mmm.comuv.com/wordpress/wp-content/uploads/2010/06/Energy-use-in-the-food-sector-Carlsson-Kanyama-and-Fiest.pdf. Accessed 9 Aug 2013

  28. Değerli B, Nazir S, Sorgüven E, Hitzmann B, Özilgen M (2015) Assessment of energy and exergy efficiencies of farm to fork grain cultivation and bread making processes in Turkey and Germany. Energy 93:421–434

    Article  Google Scholar 

  29. Opio C, Gerber P, Mottet A, Falcucci A, Tempio G, MacLeod M, Vellinga T, Henderson B, Steinfeld H (2013) Greenhouse gas emissions from ruminant supply chains – a global life cycle assessment. Food and Agriculture Organization of the United Nations (FAO), Rome

    Google Scholar 

  30. Rodriguez-Gonzales O, Buckow R, Koutchma T, Balasubramaniam VM (2015) Energy requirements for alternative processing technologies – principles, assumptions, and evaluation of efficiency. Compr Rev Food Sci Food Safety 14:536–554

    Article  Google Scholar 

  31. Szargut J, Valero A, Stanek W, Valero A (2005) Towards an international reference environment of chemical exergy. Elsevier Science, Oxford. Available at http://www.exergoecology.com/papers/towards_int_re.pdf. Accessed 5 Dec 2016

  32. Sorgüven E, Özilgen M (2010) Thermodynamic assessment of algal biodiesel utilization. Renew Energy 35:1956–1966

    Article  Google Scholar 

  33. Dinçer I, Çengel Y (2001) Energy, entropy and exergy concepts and their roles in thermal engineering. Entropy 3:116–149

    Article  Google Scholar 

  34. Özilgen M, Sorgüven E (2011) Energy and exergy utilization and carbon dioxide emission in vegetable oil production. Energy 36:5954–5967

    Article  Google Scholar 

  35. Çatak J, Develi AÇ, Sorgüven E, Özilgen M, Inal HS (2015) Lifespan entropy generated by the masseter muscles during chewing: an indicator of the life expectancy? IJEX 18:46–66

    Article  Google Scholar 

  36. Kuddusi L (2015) Thermodynamics and life span estimation. Energy 80:227–238

    Article  Google Scholar 

  37. Rodriguez-Illera M, Nikiforidis CV, van der Goot AZ, Boom RM (2017) Exergy efficiency from staple food ingredients to body metabolism: the case of carbohydrates. J Clean Prod 142:4101–4113

    Article  CAS  Google Scholar 

  38. Aghbashlo M, Mobli H, Rafiee S, Madadlou A (2013) A review on exergy analysis of drying processes and systems. Renew Sust Energ Rev 22:1–22

    Article  Google Scholar 

  39. Erbay Z, Koca N (2014) Exergoeconomic performance assessment of a pilot-scale spray dryer using the specific exergy costing method. J Biosyst Eng 122:127–138

    Article  Google Scholar 

  40. Saygi G, Erbay Z, Koca N, Pazır F (2015) Energy and exergy analyses of spray drying of a fruit puree (Cornelian Cherry puree). IJEX 16:315–336

    Article  Google Scholar 

  41. Sivakumar R, Saravanan R, Perumal AE, Iniyan S (2016) Fluidized bed drying of some agro products – a review. Renew Sust Energ Rev 61:280–301

    Article  CAS  Google Scholar 

  42. Khanali M, Aghbashlo M, Rafiee S, Jafari A (2013) Exergetic performance assessment of plug flow fluidised bed drying process of rough rice. IJEX 13:387–408

    Article  Google Scholar 

  43. Icier F, Colak N, Erbay Z, Kuzgunkaya EH, Hepbasli A (2010) A comparative study on exergetic performance assessment for drying of broccoli florets in three different drying systems. Dry Technol 28:193–204

    Article  Google Scholar 

  44. Aghbashlo M, Mobli H, Rafiee S, Madadlou A (2012) Energy and exergy analyses of the spray drying process of fish oil microencapsulation. Biosyt Eng 111:229–241

    Article  Google Scholar 

  45. Saraç BE (2015) Exergy analysis in the withering process for Turkish black tea production. IJEX 18:323–339

    Article  Google Scholar 

  46. Özahi E, Demir H (2013) A model for the thermodynamic analysis in a batch type fluidized bed dryer. Energy 59:617–624

    Article  Google Scholar 

  47. Sinha A, Gupta R, Pandey KM, Dey SK (2015) Exergy analysis of coal fired tea drying furnace. IJEX 17:54–73

    Article  CAS  Google Scholar 

  48. Souraki BA, Ghanadzadeh H, Imami N, Tabarsa M (2014) Thermodynamic modeling of convective drying of green tea. In: 8th International Chemical Engineering Congress and Exhibition, Kish, 2014

    Google Scholar 

  49. Nasiri F, Aghbashlo M, Rafiee S (2016) Exergy analysis of an industrial scale ultrafiltrated (UF) cheese production plant: a detailed survey. Heat Mass Transfer 53:407. doi:10.1007/s00231-016-1824-3

    Google Scholar 

  50. Lokadan MJ, Aghbashlo M, Mohtasebi SS (2015) Comprehensive exergy analysis of an industrial-scale yogurt production plant. Energy 93:1832–1851

    Article  Google Scholar 

  51. Arena S, Renzone G, D’Ambrosio C, Salzano AM, Scaloni A (2017) Dairy products and the Maillard reaction: a promising future for extensive food characterization by integrated proteomics studies. Food Chem 219:477–489

    Article  CAS  Google Scholar 

  52. Gorji DG, Smyth HE, Sharma M, Fitzgerald M (2016) Lipid oxidation in mayonnaise and the role of natural antioxidants: a review. Trends Food Sci Technol 56:88–102

    Article  Google Scholar 

  53. Mattioli S, Dal Bosco A, Szendrö Z, Cullere M, Gerencser Z, Castellini MC, Zotte AD (2016) The effect of dietary Digestarom® herbal supplementation on rabbit meat fatty acid profile, lipid oxidation and antioxidant content. Meat Sci 121:238–242

    Article  CAS  Google Scholar 

  54. Labuza TP (1980) Enthalpy/entropy compensation in food reactions. Food Technol 34(2):67–77

    CAS  Google Scholar 

  55. Glasstone S, Laidler KJ, Eyring H (1941) The theory of rate processes: the kinetics of chemical reactions, viscosity, diffusion and electrochemical phenomena. McGraw-Hill, New York

    Google Scholar 

  56. Özilgen S, Özilgen M (1992) Enthalpy – entropy and frequency factor – activation energy compensation relations for death of Escherichia coli with microwaves in a tubular flow reactor. Acta Aliment Hung 21:195–203

    Google Scholar 

  57. Whiting RC, Buchanan RL (1994) Microbial modeling. Food Technol 48(6):113–120

    Google Scholar 

  58. Mulchandani A, Luong JHT (1989) Microbial growth kinetics revisited. Enzyme Microb Technol 11:66–72

    Article  CAS  Google Scholar 

  59. Edelstein-Keshet L (1988) Mathematical models in biology. Random House, New York

    Google Scholar 

  60. Luedeking R, Piret EL (1959) A kinetic study of lactic acid fermentation. Batch process at controlled pH. Biotechnol Bioeng 1:393–412

    Article  CAS  Google Scholar 

  61. Weiss RM, Ollis DF (1980) Extracellular microbial polysaccharides. I. Substrate, biomass, and product kinetic equations for batch xanthan gum fermentation. Biotechnol Bioeng 4:859–870

    Article  Google Scholar 

  62. Özilgen M (1988) Kinetics of amino acid production by over-producer mutant microorganisms. Enzyme Microb Technol 10:110–114

    Article  Google Scholar 

  63. Tokatli K, Özilgen M (1991) Kinetic model of microbial exotoxin production. Lebensm Wiss Technol 24:274–277

    CAS  Google Scholar 

  64. Bailey EJ, Ollis DF (1986) Biochemical engineering fundamentals, 2nd edn. McGraw-Hill, New York

    Google Scholar 

  65. FDA (2014) Kinetics of microbial inactivation for alternative food processing technologies – overarching principles: kinetics and pathogens of concern for all technologies. Available at http://www.fda.gov/Food/FoodScienceResearch/SafePracticesforFoodProcesses/ucm100198.htm. Accessed 10 Jan 2017

  66. Cornejo I, Cornejo G, Ramirez C, Almonacid S, Simpson R (2016) Inverse method for the simultaneous estimation of the thermophysical properties of foods at freezing temperatures. J Food Eng 191:37–47

    Article  Google Scholar 

  67. Miles CA, van Beek G, Veerkamp CH (1983) Calculation of thermophysical properties of foods. In: Jowitt R, Escher F, Hallstrom B, Th Meffert HF, Spiess WEL, Vos G (eds) Physical properties of foods. Applied Science Publishers, London

    Google Scholar 

  68. Choi J, Bischo JC (2011) Review of biomaterial thermal property measurements in the cryogenic regime and their use for prediction of equilibrium and non-equilibrium freezing applications in cryobiology. Cryobiology 60(1):52–70

    Article  Google Scholar 

  69. Atkinson B, Mavituna F (1991) Biochemical engineering and biotechnology handbook, 2nd edn. McMillan Pub. Ltd, New York

    Google Scholar 

  70. Magerramov MA, Abdulagatov AI, Azizov ND, Abdulagatov IM (2007) Effect of temperature, concentration, and pressure on the viscosity of pomegranate and pear juice concentrates. J Food Eng 80:476–489

    Article  CAS  Google Scholar 

  71. Vagenas GK, Karathanos VT (1991) Prediction of moisture diffusivity in granular materials, with special applications to foods. Biotechnol Progr 7:419–426

    Article  CAS  Google Scholar 

  72. Rao MA, Cooley HJ, Anantheswaran RC, Ennis RW (1985) Convective heat transfer to canned liquid foods in steritort. J Food Sci 50:150–154

    Article  Google Scholar 

  73. Ruzicka MC (2008) On dimensionless numbers. Chem Eng Res Des 86:835–868

    Article  CAS  Google Scholar 

  74. Benson SW (1965) Bond energies. J Chem Educ 42:502–518

    Article  CAS  Google Scholar 

  75. Shieh JA, Fan LT (1982) Estimation of energy (enthalpy) and exergy (availability) contents in structurally complicated materials. Energy Source 6:1–46

    Article  CAS  Google Scholar 

  76. Szargut J, Morris DR, Steward FR (1988) Exergy analysis of thermal, chemical, and metallurgical processes. Hemisphere Publishing, New York

    Google Scholar 

  77. Domalski ES, Hearing ED (1993) Estimation of the thermodynamic properties of C-H-N-O-S-halogen compounds at 298.15 K. J Phys Chem Ref Data 22(4):805–1159

    Article  CAS  Google Scholar 

  78. Marrero J, Gani R (2001) Group-contribution based estimation of pure component properties. Fluid Phase Equilibr 183–184:183–208

    Article  Google Scholar 

  79. Gharagheizi F, Ilani-Kashkouli P, Mohammadi AH (2014) A group contribution method for determination of the standard molar chemical exergy of organic compounds. Energy 70:288–297

    Article  CAS  Google Scholar 

  80. Hurst JE, Harrison BK (1992) Estimation of liquid and solid heat capacities using a modified Kopp’s rule. Chem Eng Commun 112:21–30

    Article  CAS  Google Scholar 

  81. Sarikaya A, Özilgen M (1991) Kinetics of peroxidase inactivation during thermal processing of whole potatoes. Lebensm Wiss Technol 24:159–163

    CAS  Google Scholar 

  82. Yang BB, Nunes RV, Swartzel KR (1992) Lethality distribution in the holding section of an aseptic processing system. J Food Sci 57:1258–1265

    Article  Google Scholar 

  83. Gougouli MAS, Angelidis AS, Koutsoumanis K (2007) A study on the kinetic behavior of Listeria monocytogenes in icecream stored under static and dynamic chilling and freezing conditions. J Dairy Sci 91:523–530

    Article  Google Scholar 

  84. Alavi SH, Puri VM, Knabel SJ, Mohtar RH, Whiting RC (1999) Development and validation of a dynamic growth model for Listeria monocytogenes in fluid whole milk. J Food Protect 62:170–176

    Article  CAS  Google Scholar 

  85. Hill JE, Leitman JD, Sunderland JE (1967) Thermal conductivity of various meats. Food Technol 21(8):91–96

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mustafa Özilgen .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Özilgen, M. (2017). How to Decide on Modeling Details: Risk and Benefit Assessment. In: Hitzmann, B. (eds) Measurement, Modeling and Automation in Advanced Food Processing. Advances in Biochemical Engineering/Biotechnology, vol 161. Springer, Cham. https://doi.org/10.1007/10_2017_9

Download citation

Publish with us

Policies and ethics