351
Views
6
CrossRef citations to date
0
Altmetric
Original Articles

Probabilistic migration modelling focused on functional barrier efficiency and low migration concepts in support of risk assessment

Pages 1743-1766 | Received 16 Feb 2017, Accepted 03 Jun 2017, Published online: 29 Jun 2017

References

  • AKTS. 2014. The Advanced Kinetics and Technology Solution AG – Switzerland; software manual of the SML 5 software.
  • AKTS. 2017. The Advanced Kinetics and Technology Solution AG – Switzerland; Available from: htttp://www.akts.com
  • Atkins PW, De Paula J. 2010. Physical chemistry. 9th ed. Oxford (UK): Oxford University Press.
  • Bayer FL. 1997. The threshold of regulation and its application to indirect food additive contaminants in recycled plastics. Food Addit Contam. 14:661–670.
  • Begley T, Castle L, Feigenbaum A, Franz R, Hinrichs K, Lickly T, Mercea P, Milana M-R, O’Brien A, Rebre S, et al. 2005. Evaluation of migration models that might be used in support of regulations for food-contact plastics.Food. Food Addit Contam. 22:73–90.
  • Brandsch J, Mercea P, Rüter M, Tosa V, Piringer O. 2002. Migration modelling as a tool for quality assurance of food packaging Migration modelling as a tool for quality assurance of food packaging. Food Addit Contam. 19:29–41.
  • Crank J. 1975. Mathematics of Diffusion. 2nd ed. Oxford (UK): Oxford Science Publication Oxford University Press.
  • Cukier RI, Fortuin CM, Shuler KE, Petschek AG, Schaibly JH. 1973. Study of the sensitivity of coupled reaction systems to uncertainties in rate coefficients. I theory. The J of Chem Phy. 59:3873–3878.
  • DDBST. 2017. The DDBST GmbH – Germany; Available from: http://www.ddbst.com/ddb.html
  • Ekström PA. 2005. EIKOS – A simulation toolbox for sensitivity analysis [dissertation]. Uppsala: University Uppsala.
  • Endo S, Goss K-U. 2014. Applications of polyparameter linear free energy relationships in environmental chemistry. Environ Sci Technol. 48:12477–12491.
  • Fang X, Vitrac O. 2017. Predicting diffusion coefficients of chemicals in and through packaging materials. Crit Rev Food Sci Nutr. 57:275–312.
  • Franz R, Huber M, Piringer O. 1997. Presentation and experimental verification of a physicomathematical model describing the migration across functional barrier layers into foodstuffs. Food Addit Contam. 14:627–640.
  • Helton JC. 1993. Uncertainty and sensitivity analysis techniques for use in performance assessment for radioactive waste disposal. Reliab Eng Syst Saf. 42:327–367.
  • Helton JC, Davis FJ. 2000. Mathematical and statistical methods for sensitivity analysis of model output.; chapter 6, sampling based methods in saltelli. Hoboken (NJ): John Wiley and Sons.
  • Hoekstra E editor. 2015. Practical guidelines on the application of migration modelling for the estimation of specific migration; JRC Technical Reports; EUR 27529 EN
  • Homma T, Saltelli A. 1996. Importance measures in global sensitivity analysis of nonlinear models. Reliab Eng Syst Saf. 52:1–7.
  • Jansen MJW, Rossing WAH, Daamen RA. 1994. Monte Carlo estimation of uncertainty contributions from several independent multivariate sources. In: Grasman J, van Straeten G, editors. Predictability Nonlinear Modell in Natural Sciences and Economics.  Dordrecht: Springer Netherlands. p. 334–343.
  • Ozaki A, Grunar A, Störmer A, Brandsch R, Franz R. 2010. Correlation between partition coefficients polymer/food simulant, KP,F, and Octanol/Water, Log POW – a new approach in support of migration modelling and compliance testing. Deutsche Lebensmittelrundschau. 106:203–208.
  • Patton JS, Stone B, Papa C, Abramowitz R, Yalkowsky SH. 1984. Solubility of fatty acids and other hydrophobic molecules in liquid trioleoylglycerol. J Lipid Res. 25:189–197.
  • Piringer O. 1994. Evaluation of plastics for food packaging. Food Addit Contam. 11:221–230.
  • Piringer O-G, Baner AL, editor. 2008. Plastic packaging materials for food. Barrier function, mass transport, quality assurance and legislation- interactions with food and pharmaceuticals. 2nd ed. Weinheim (NY): WILEY-VCH.
  • Poças MF, Oliveira JC, Brandsch R, Hogg T. 2012. Analysis of mathematical models to describe the migration of additives from packaging plastics to foods. J Food Process Eng. 35:657–676.
  • Roduit B, Borgeat CH, Cavin S, Fragniere C, Dudler V. 2005. Application of Finite Element Analysis (FEA) for the simulation of release of additives from multilayer polymeric packaging structures. Food Addit Contam. 22:945–955.
  • Saltelli A, Chan K, Scott M, editors. 2000. Sensitivity analysis. Probability and Statistics Series; Hoboken (NJ): John Wiley and Sons.
  • Seiler A, Bach A, Driffield M, Paseiro Losada P, Mercea P, Tosa V, Franz R. 2014. Correlation of foodstuffs with ethanol–water mixtures with regard to the solubility of migrants from food contact materials. Food Addit Contam. 31:498–511.
  • Sobol IM. 1993. Sensitivity analysis for nonlinear mathematical models. Math Model Comput Exp. 1:407–414.
  • Stannett V. 1978. The transport of gases in synthetic polymeric membranes – An historic perspective. J Membr Sci. 3:97–115.
  • Stoffers NH, Brandsch R, Bradley EL, Cooper I, Dekker M, Störmer A, Franz R. 2005. Feasibility study for the development of certified reference materials for specific migration testing. Part 2: estimation of diffusion parameters and comparison of experimental and predicted data. Food Addit Contam. 22:173–184.
  • USEPA. 2012. Estimation Programs Interface Suite™ for Microsoft® Windows, v 4.11;. Washington (DC): United States Environmental Protection Agency.
  • Welle F. 2013. A new method for the prediction of diffusion coefficients in poly(ethylene terephthalate). J Appl Polym Sci. 129:1845–1851.
  • Welle F. 2014. Activation energies of diffusion of organic migrants in cyclo-olefin polymer. Int J Pharm. 473:510–517.
  • Welle F, Franz R. 2012. Diffusion coefficients and activation energies of diffusion of low molecular weight migrants in Poly(ethylene terephthalate) bottles. Polym Test. 31:93–101.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.