Source: UNIV OF MASSACHUSETTS submitted to
MATHEMATICAL MODELING AND TESTING OF FOODS AND FOOD SYSTEMS
Sponsoring Institution
National Institute of Food and Agriculture
Project Status
REVISED
Funding Source
Reporting Frequency
Annual
Accession No.
0226156
Grant No.
(N/A)
Project No.
MAS000413
Proposal No.
(N/A)
Multistate No.
(N/A)
Program Code
(N/A)
Project Start Date
Oct 1, 2011
Project End Date
Sep 30, 2015
Grant Year
(N/A)
Project Director
Peleg, MI, .
Recipient Organization
UNIV OF MASSACHUSETTS
(N/A)
AMHERST,MA 01003
Performing Department
Food Science
Non Technical Summary
The quantitative aspects of microbial inactivation and growth and of chemical and biochemical changes in foods play an important role in food safety, quality, stability and nutritional value. They have become even more important now, as new preservation technologies are being developed and concern about the safety of foods in the United States is growing. Safety, nutrition and quality issues also strongly affect the economics of food production, processing and handling. Maintaining the safety of foods without sacrificing their quality and nutritional value requires accurate quantitative methods to assess what constitutes microbial safety, how it changes with time, how to accomplishing it and how the process and post process history affect the food's quality, and in some cases its chemical safety. In many systems, the biological, biochemical and chemical processes, which are involved in the food's preservation and storage, follow non-linear kinetics. Addressing the non-linear kinetic aspects of foods processing and handling requires the development and application of novel models and non-traditional mathematical calculation methods. Also, modern mathematical software and the increasing power of computers, open new possibilities in the development and expansion of the use of discrete probabilistic models for addressing safety and quality issues that until now have been mainly addressed using continuous deterministic models. Two notable examples of the need for the new kinds of models are food poisoning episodes caused by a small numbers of virulent pathogens and the irregular spoilage patterns of preserved foods. The main goal is to develop new mathematical methods to describe and predict changes and deteriorative processes in foods and to improve existing ones, exploiting the power of modern mathematical software and the speed of computers. Secondary objectives are to develop user-friendly interactive software for implementing the new methods of calculation and to improve existing methods to calculate quantities and processes in food science, technology and engineering. The project will produce new mathematical models for quantitative microbiology and food kinetics, improved versions of existing models, new methods of calculation, and a number of new interactive programs, many in the form of Wolfram Demonstrations. These are freely downloadable user-friendly programs where the user can vary the model parameters by moving sliders on the screen and the result appears almost instantaneously. A Wolfram Demonstration allows the user to create many hypothetical scenarios in a very short time and examine their consequences. The new models implementation and the new methods application will help to improve food preservation and help to establish safe conditions for foods processing, handling and storage with minimal loss of quality and nutritional value.
Animal Health Component
0%
Research Effort Categories
Basic
100%
Applied
(N/A)
Developmental
(N/A)
Classification

Knowledge Area (KA)Subject of Investigation (SOI)Field of Science (FOS)Percent
7124099208050%
5047299110050%
Goals / Objectives
The project's primary goal is to develop new and improve existing mathematical models, mainly of two kinds: deterministic differential rate equations, and probabilistic models. Models of the first type are primarily intended for microbial growth and inactivation and the kinetics of nonlinear chemical and biochemical processes, which are associated with food safety, nutritional value, quality and shelf life. Models of the second type are primarily intended for microbial injury and spores germination, with emphasis on small groups of cells or spores. The work on stochastic models will also include the development of new applications of the Expanded Fermi Solution based on Monte Carlo simulations in microbial and chemical risk assessment. Secondary goals of the project are the development of interactive program that will enable food scientists, technologists and engineering to solve practical quantitative problems and use computer simulations to resolve theoretical issues, and the development or improvement of methods to assess and interpret physical properties of foods. We expect that that the project will result in new mathematical models for quantitative microbiology, food reactions kinetics and mechanical properties of foods, produce improved versions of existing kinetic models, create new methods of calculation and a make a number of new programs available to professionals in the field through the Internet. Many of the latter will be in the form of interactive Wolfram Demonstrations, which are very user-friendly and freely downloadable from the Internet. The new methods and results will be published in scientific and technical journals, presented in professional meetings and described and explained in seminars and symposia held in academia and the food industry.
Project Methods
The modeling effort will be based on three stages. First: Models selection and investigation of their mathematical properties. Second: Examination of the models capabilities and limitations with computer simulations based on realistic scenarios in food processing, preservation, transportation and storage. Third: Testing the models' predictive ability with published data or with experimental data produced by other groups (within or outside the Massachusetts Agricultural Experiment Station). The modeled systems will be: microbial (growth, inactivation, germination, activation and their combinations), biochemical and chemical. The emphasis will be on systems whose evolution follows non-linear kinetics, i.e., where the momentary rate varies not only with temperature, pressure, pH, water activity, etc., but also with time. In microbial growth, inactivation, injury and germination kinetics, discrete stochastic models will also be developed, focused on the evolution of small cells and spores populations under changing conditions (favorable and hostile). The stochastic models will be related to existing continuous deterministic models developed for large microbial populations through the underlying probability rate functions. Software development, for model equations solution, systems simulations and physical and engineering calculations, will be primarily based on Mathematica (Wolfram Research, Champaign IL) and in special cases, MS Excel. There will be two kinds of programs. The first will consist of advanced and computation intensive programs the running of which requires having Mathematica installed on the user's computer. [As in the past, we'll publish the code, or make it available upon request, so that it can be implemented with other mathematical software.] The second type will consist of interactive programs in the form of Wolfram Demonstrations, the use of which only requires downloading the free CDF Player from the Internet. Physical properties, especially rheological, will be determined in the Physical Properties Laboratory using equipment already in place. The focus will be on semi-liquid foods with time dependent characteristics using lubricated squeezing flow viscometry, and brittle foods with non-homogenous structure using a Universal testing machine. Existing models to describe, explain and predict them will be improved or new ones developed.

Progress 10/01/14 to 09/30/15

Outputs
Target Audience: Nothing Reported Changes/Problems: Nothing Reported What opportunities for training and professional development has the project provided? Nothing Reported How have the results been disseminated to communities of interest? Nothing Reported What do you plan to do during the next reporting period to accomplish the goals? Nothing Reported

Impacts
What was accomplished under these goals? PI is retired. Nothing to report

Publications


    Progress 10/01/13 to 09/30/14

    Outputs
    Target Audience: Nothing Reported Changes/Problems: Nothing Reported What opportunities for training and professional development has the project provided? Nothing Reported How have the results been disseminated to communities of interest? Nothing Reported What do you plan to do during the next reporting period to accomplish the goals? Nothing Reported

    Impacts
    What was accomplished under these goals? PI retired. Nothing to report.

    Publications


      Progress 10/01/12 to 09/30/13

      Outputs
      Target Audience: Food industry especially meat, poultry, dry products. Pepole in nutrition, food health realted professionals, wellness. Changes/Problems: Nothing Reported What opportunities for training and professional development has the project provided? Many Wolfram Demonstrations for simulations for professional training. Friendly software for calculations in risk assessment and the interpretation of quality control charts. How have the results been disseminated to communities of interest? Through publications and lectures. What do you plan to do during the next reporting period to accomplish the goals? Development of new mathematical models, esppecially of very small microbial populations dynamics (of the kind frequently responsible for food poisoning and spoilage). Continue to writing of friendly software to cover additional areas of food engineering and scinece for practical applications and for training.

      Impacts
      What was accomplished under these goals? A common issue in the food (and pharmaceutical) industries handling dry powders is how to calculate the amount of desiccant or humectant (which can be an ingredient) ought to be added in order to bring a powder or powder mixture to a desirable water activity. This can now be done with a program in MS Excel or Wolfram Demonstration, particularly written for industrial use. The methodology of risk/benefit assessment where the factors’ effect can only be presented in terms of ranges rather than number estimates because of scarce or nonexistent relevant data can facilitate objective evaluation of the health risk and benefits of foods. Extracting estimates of the time to the first and between successive mishaps from quality control data can now be done automatically and practically instantly with widely and freely available software. Together with estimation such estimating the probability of such events food industries could be alerted in time to avoid recalls or worse.

      Publications

      • Type: Journal Articles Status: Published Year Published: 2013 Citation: Redman-Furey, N., Normand, M. D. and Peleg, M. 2013. Estimating the needed amount of desiccant, water or moistener to adjust the equilibrium water activity of dry powder mixtures. Trends in Food Science & Technology 29:135-141.
      • Type: Journal Articles Status: Published Year Published: 2012 Citation: Barsa, C. S., Normand, M. D. and Peleg, M. 2012. On models of the temperature effect on the rate of chemical reactions and biological processes in foods. Food Engineering Reviews 4:191-202.
      • Type: Journal Articles Status: Published Year Published: 2012 Citation: Peleg M., Normand, M. D. and Corradini, M. G. 2012. A method to estimate a person or group health risks and benefits from additive and multiplicative factors. Trends in Food Science & Technology 28:44-51.
      • Type: Journal Articles Status: Published Year Published: 2012 Citation: Peleg M., Normand, M. D. and Corradini, M. G. 2012. The Arrhenius equation revisited. Critical Reviews in Foods Science and Nutrition, 52: 830-851.


      Progress 10/01/11 to 09/30/12

      Outputs
      OUTPUTS: We have developed software, mostly in the form of freely downloadable Wolfram Demonstrations for risk analysis and benefits assessment associated with foods. The models exploit the Expanded Fermi Solution method previously developed in the project's predecessor. In this estimation method, the influential parameters are entered not as numerical values but as ranges that represent the degree of uncertainty in their magnitude. The procedure involves Monte Carlo simulations the results of which are statistically analyzed to produce the most reliable estimate. The methodology has also been applied to the estimation of the number of probiotic organisms that needed to be provided or ingested in order to have a biological effect. It has also been extended to uncertainties in the parameters of kinetic microbial growth and inactivation models. An interactive demonstration of different kind was developed for routine mixing problem in the food industry involving three major ingredients. PARTICIPANTS: Micha Peleg, Mark D. Normand, Christina Barsa TARGET AUDIENCES: Not relevant to this project. PROJECT MODIFICATIONS: Not relevant to this project.

      Impacts
      Several Wolfram Demonstrations,all available on line, can be used for risk assessment, microbial or chemical in foods. They can also be used to interpret and use effectively quality control data. Routine calculations have been greatly simplified. The developed methods and software enable a large group of food scientists, technologists, microbiologists and engineers not only to perform routine calculations, but also to examine numerous hypothetical scenarios by moving sliders on the screen and examine their potential safety and quality implications.

      Publications

      • Peleg, M. and Corradini, M.G. 2011. Soft machines mechanics and oral texture perception. In: J. Chen and L. Engelen (Eds.) Food oral processing: Fundamentals of eating and sensory perception. Wiley Blackwell. Oxford England pp. 319-336.
      • Peleg, M., Normand, M.D. and Corradini, M.G. 2011. Construction of Food and Water Borne Pathogens' Dose-Response Curves Using the Expanded Fermi Solution. J. Food Science 76:R82-R89.
      • Peleg, M., Normand, M.D. and Corradini, M.G. 2012. On quantifying non-thermal effects on the lethality of pressure-assisted heat preservation processes. Journal of Food Science 71:R47-R56.
      • Peleg, M., Normand, M.D. and Corradini, M.G. 2012. A study of the randomly fluctuating microbial counts in foods and water using the expanded Fermi solution as a model. Journal of Food Science 71:R63-R71.


      Progress 10/01/10 to 09/30/11

      Outputs
      OUTPUTS: New PARTICIPANTS: New TARGET AUDIENCES: New PROJECT MODIFICATIONS: New

      Impacts
      New

      Publications

      • No publications reported this period