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A regression-based model to predict chemical migration from packaging to food

Abstract

Packaging materials can be a source of chemical contaminants in food. Process-based migration models (PMM) predict the chemical fraction transferred from packaging materials to food (FC) for application in prioritisation tools for human exposure. These models, however, have a relatively limited applicability domain and their predictive performance is typically low. To overcome these limitations, we developed a linear mixed-effects model (LMM) to statistically relate measured FC to properties of chemicals, food, packaging, and experimental conditions. We found a negative relationship between the molecular weight (MW) and FC, and a positive relationship with the fat content of the food depending on the octanol-water partitioning coefficient of the migrant. We also showed that large chemicals (MW > 400 g/mol) have a higher migration potential in packaging with low crystallinity compared with high crystallinity. The predictive performance of the LMM for chemicals not included in the database in contact with untested food items but known packaging material was higher (Coefficient of Efficiency (CoE) = 0.21) compared with a recently developed PMM (CoE = −5.24). We conclude that our empirical model is useful to predict chemical migration from packaging to food and prioritise chemicals in the absence of measurements.

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Code availability

All the analyses were carried out in R version 3.5.1 [41] using the following packages: dplyr and reshape2 to rearrange the data [42, 43], ggplot2 and ggeffects to generate the figures presented [44, 45], lme4 to fit the models [46], MuMIn and hydroGOF to compute the goodness of fit measures [47, 48]. The code necessary to generate the models can be accessed upon request to the corresponding author.

References

  1. Muncke J. Food packaging materials. 2012. https://www.foodpackagingforum.org/food-packaging-health/food-packaging-materials.

  2. FDA. Guidance for industry: preparation of premarket submissions for food contact substances: chemistry recommendations. 2007. https://www.fda.gov/Food/GuidanceRegulation/GuidanceDocumentsRegulatoryInformation/ucm081818.htm.

  3. EFSA. Food contact material applications: regulation and guidance. 2017. http://www.efsa.europa.eu/en/applications/foodcontactmaterials/regulationsandguidance.

  4. Healy BF, English KR, Jagals P, Sly PD. Bisphenol A exposure pathways in early childhood: Reviewing the need for improved risk assessment models. J Exposure Sci Environ Epidemiol. 2015;25:544.

    CAS  Google Scholar 

  5. Cohen Hubal EA. PFAS: insights from past actions to inform today’s decisions. J Exposure Sci Environ Epidemiol. 2019;29:129–30.

    Google Scholar 

  6. European Commission. Bisphenol A: EU ban on baby bottles to enter into force tomorrow: European Commission; 2011. http://europa.eu/rapid/press-release_IP-11-664_en.htm.

  7. European Food Safety Authority. Contaminants update: first of two opinions on PFAS in food 2018 [03.2019]. https://www.efsa.europa.eu/en/press/news/181213.

  8. Biryol D, Nicolas CI, Wambaugh J, Phillips K, Isaacs K. High-throughput dietary exposure predictions for chemical migrants from food contact substances for use in chemical prioritization. Environ Int. 2017;108:185–94.

    CAS  PubMed  PubMed Central  Google Scholar 

  9. Wambaugh JF, Wang A, Dionisio KL, Frame A, Egeghy P, Judson R, et al. High throughput heuristics for prioritizing human exposure to environmental chemicals. Environ Sci Technol. 2014;48:12760–7.

    CAS  PubMed  Google Scholar 

  10. Isaacs KK, Glen WG, Egeghy P, Goldsmith MR, Smith L, Vallero D, et al. SHEDS-HT: an integrated probabilistic exposure model for prioritizing exposures to chemicals with near-field and dietary sources. Environ Sci Technol. 2014;48:12750–9.

    CAS  PubMed  Google Scholar 

  11. Ernstoff A, Niero M, Muncke J, Trier X, Rosenbaum RK, Hauschild M, et al. Challenges of including human exposure to chemicals in food packaging as a new exposure pathway in life cycle impact assessment. Int J Life Cycle Assess. 2019;24:543–52.

  12. Pocas MF, Oliveira JC, Oliveira FA, Hogg T. A critical survey of predictive mathematical models for migration from packaging. Crit Rev Food Sci Nutr. 2008;48:913–28.

    PubMed  Google Scholar 

  13. Gavriil G, Kanavouras A, Coutelieris FA. Food-packaging migration models: a critical discussion. Crit Rev Food Sci Nutr. 2018;58:2262–72.

    CAS  PubMed  Google Scholar 

  14. Zuur A, Ieno E, Walker N, Saveliev A, Smith G. Mixed effects models and extensions in ecology with R. New York: Springer; 2009.

    Google Scholar 

  15. Garson GD. Hierarchical linear modeling: guide and applications. California, London, New Dehli, Singapore, Washington DC: Sage; 2012.

  16. Sun W, Palazoglu A, Singh A, Zhang H, Wang Q, Zhao Z, et al. Prediction of surface ozone episodes using clusters based generalized linear mixed effects models in Houston–Galveston–Brazoria area, Texas. Atmos Pollut Res. 2015;6:245–53.

    CAS  Google Scholar 

  17. Bohora SB, Cao QV. Prediction of tree diameter growth using quantile regression and mixed-effects models. For Ecol Manag. 2014;319:62–6.

    Google Scholar 

  18. Uzoh FCC, Oliver WW. Individual tree diameter increment model for managed even-aged stands of ponderosa pine throughout the western United States using a multilevel linear mixed effects model. For Ecol Manag. 2008;256:438–45.

    Google Scholar 

  19. Ernstoff A, Fantke P, Huang L, Jolliet O. High-throughput migration modelling for estimating exposure to chemicals in food packaging in screning and prioritization tools. Food Chem Toxicol. 2017;109:428–38.

    CAS  PubMed  Google Scholar 

  20. US. Food and Drug administration. Guidance for industry: preparation of premarket submissions for food contact substances (Chemistry recommendations). 2007. https://www.fda.gov/Food/GuidanceRegulation/GuidanceDocumentsRegulatoryInformation/ucm081818.htm.

  21. Commission Regulation (EU) No 10/2011 of 14 January 2011 on plastic materials and articles intended to come into contact with food, 2011R0010. 2011.

  22. Fang X, Vitrac O. Predicting diffusion coefficients of chemicals in and through packaging materials. Crit Rev Food Sci Nutr. 2017;57:275–312.

    CAS  PubMed  Google Scholar 

  23. Tehrany EA, Desobry S. Partition coefficients in food/packaging systems: a review. Food Addit Contam. 2004;21:1186–202.

    CAS  PubMed  Google Scholar 

  24. Canellas E, Aznar M, Nerín C, Mercea P. Partition and diffusion of volatile compounds from acrylic adhesives used for food packaging multilayers manufacturing. J Mater Chem. 2010;20:5100–9.

  25. Widen H, Leufven A, Nielsen T. Migration of model contaminants from PET bottles: influence of temperature, food simulant and functional barrier. Food Addit Contam. 2004;21:993–1006.

    CAS  PubMed  Google Scholar 

  26. Chea V, Angellier-Coussy H, Peyron S, Kemmer D, Gontard N. Poly(3-hydroxybutyrate-co-3-hydroxyvalerate) films for food packaging: physical–chemical and structural stability under food contact conditions. J Appl Polym Sci. 2016;133:41850–8.

    Google Scholar 

  27. Goulas A. Overall migration from commercial coextruded food packaging multilayer films and plastics containers into official EU food simulants. Eur Food Res Technol. 2001;212:597–602.

    CAS  Google Scholar 

  28. Sanches-Silva A, Andre C, Castanheira I, Cruz JM, Pastorelli S, Simoneau C, et al. Study of the migration of photoinitiators used in printed food-packaging materials into food simulants. J Agric Food Chem. 2009;57:9516–23.

    CAS  PubMed  Google Scholar 

  29. Commission regulation (EU) No 10/2011, 10/2011. 2011.

  30. Lau O-W, Wong S-K. Contamination in food from packaging material. J Chromatogr A. 2000;882:255–70.

    CAS  PubMed  Google Scholar 

  31. Limam M, Tighzert L, Fricoteaux F, Bureau G. Sorption of organic solvents by packaging materials: polyethylene terephthalate and TOPAS®. Polym Test. 2005;24:395–402.

    CAS  Google Scholar 

  32. Mercea P. Physicochemical processes involved in migration of bisphenol A from polycarbonate. J Appl Polym Sci. 2009;112:579–93.

    CAS  Google Scholar 

  33. Bhunia K, Sablani SS, Tang J, Rasco B. Migration of chemical compounds from packaging polymers during microwave, conventional heat treatment, and storage. Compr Rev Food Sci Food Saf. 2013;12:523–45.

    CAS  PubMed  Google Scholar 

  34. Alin J, Hakkarainen M. Type of polypropylene material significantly influences the migration of antioxidants from polymer packaging to food simulants during microwave heating. J Appl Polym Sci. 2010;118:1084–93.

  35. Fang H, Wang J, Lynch RA. Migration of di(2-ethylhexyl)phthalate (DEHP) and di- n -butylphthalate (DBP) from polypropylene food containers. Food Control. 2017;73:1298–302.

    CAS  Google Scholar 

  36. Schielzeth H, Nakagawa S, Freckleton R. Nested by design: model fitting and interpretation in a mixed model era. Methods Ecol Evol. 2013;4:14–24.

    Google Scholar 

  37. Nakagawa S, Schielzeth H, O’Hara RB. A general and simple method for obtaining R2 from generalized linear mixed-effects models. Methods Ecol Evol. 2013;4:133–42.

    Google Scholar 

  38. Assink M, Wibbelink CJM. Fitting three-level meta-analytic models in R: a step-by-step tutorial. Quant Methods Psychol. 2016;12:154–74.

    Google Scholar 

  39. Breiman L, Cutler A. Random forests. 2002. https://www.stat.berkeley.edu/~breiman/RandomForests/cc_home.htm#varimp.

  40. Roberts DR, Bahn V, Ciuti S, Boyce MS, Elith J, Guillera-Arroita G, et al. Cross-validation strategies for data with temporal, spatial, hierarchical, or phylogenetic structure. Ecography. 2017;40:913–29.

    Google Scholar 

  41. R Core Team. R: a language and environment for statistical computing. Vienna, Austria: R Foundation for Statistical Computing; 2016.

    Google Scholar 

  42. Wickham H, Francois R, Henry L, Müller K. dplyr: A grammar of data manipulation. R package version 0.8.0.1. (2019). https://CRAN.R-project.org/package=dplyr.

  43. Hadley W. Reshaping data with the reshape package. J Stat Softw. 2007;21:1–20. http://www.jstatsoft.org/v21/i12/.

  44. Wickham H. ggplot2: elegant graphics for data analysis. J Stat Softw. 2010;35:65–88.

    Google Scholar 

  45. Lüdecke D. ggeffects: tidy data frames of marginal effects from regression models. J Open Source Softw. 2018;3:772.

    Google Scholar 

  46. Bates D, Maechler M, Bolker B, Walker S. Fitting linear mixed-effects models using lme4. J Stat Softw. 2015;67:1–48.

    Google Scholar 

  47. Barton K. MuMIn: Multi-model inference. R package version 1.42.1. (2018). https://CRAN.R-project.org/package=MuMIn.

  48. Bigiarini MZ, Bigiarini MMZ Package “hydroGOF”. R-package. 2013. wwwr-project.org/. Accessed 7 May 2018.

  49. Ozaki A, Gruner A, Störmer A, Brandsch R, Franz R. Correlation between partition coefficients polymer/food simulant, KP, F, and octanol/water, log POW-a new approach in support of migration modeling and compliance testing. Dtsch Lebensm-Rundsch. 2010;106:203–8.

    CAS  Google Scholar 

  50. Seiler A, Bach A, Driffield M, Paseiro Losada P, Mercea P, Tosa V, et al. Correlation of foodstuffs with ethanol-water mixtures with regard to the solubility of migrants from food contact materials. Food Addit Contam Part A Chem Anal Control Expo Risk Assess. 2014;31:498–511.

    CAS  PubMed  Google Scholar 

  51. Marcato B, Guerra S, Vianello M, Scalia S. Migration of antioxidant additives from various polyolefinic plastics into oleaginous vehicles. Int J Pharm. 2003;257:217–25.

    CAS  PubMed  Google Scholar 

  52. Cai H, Ji S, Zhang J, Tao G, Peng C, Hou R, et al. Migration kinetics of four photo-initiators from paper food packaging to solid food simulants. Food Addit Contam Part A Chem Anal Control Expo Risk Assess. 2017;34:1632–42.

    CAS  PubMed  Google Scholar 

  53. Kawamura Y, Ogawa Y, Mutsuga M. Migration of nonylphenol and plasticizers from polyvinyl chloride stretch film into food simulants, rapeseed oil, and foods. Food Sci Nutr. 2017;5:390–8.

    CAS  PubMed  Google Scholar 

  54. Diduch M, Polkowska Z, Namiesnik J. Factors affecting the quality of bottled water. J Exposure Sci Environ Epidemiol. 2013;23:111–9.

    CAS  Google Scholar 

  55. Pocas MF, Oliveira JC, Brandsch R, Hogg T. Feasibility study on the use of probabilistic migration modeling in support of exposure assessment from food contact materials. Risk Anal. 2010;30:1052–61.

    PubMed  Google Scholar 

  56. Todeschini R, Consonni V. Molecular descriptors for chemoinformatics, Volumes I and II. Mannhold R, Kubinyi H, Folkers G, editors. Weinheim, German: Wiley-VCH; 2009.

  57. Gramatica P, Chirico N, Papa E, Cassani S, Kovarich S. QSARINS: a new software for the development, analysis, and validation of QSAR MLR models. J Computational Chem. 2013;34:2121–32.

    CAS  Google Scholar 

  58. Mamy L, Patureau D, Barriuso E, Bedos C, Bessac F, Louchart X, et al. Prediction of the fate of organic compounds in the environment from their molecular properties: a review. Crit Rev Environ Sci Technol. 2015;45:1277–377.

    CAS  PubMed  PubMed Central  Google Scholar 

  59. Pirovano A, Brandmaier S, Huijbregts MA, Ragas AM, Veltman K, Hendriks AJ. The utilisation of structural descriptors to predict metabolic constants of xenobiotics in mammals. Environ Toxicol Pharmacol. 2015;39:247–58.

    CAS  PubMed  Google Scholar 

  60. Pirovano A, Huijbregts M, Ragas A, Veltman K, Hendriks AJ. Mechanistically-based QSARs to describe metabolic constants in mammals. ATLA 2014;42:59–69.

    CAS  PubMed  Google Scholar 

  61. Papa E, van der Wal L, Arnot JA, Gramatica P. Metabolic biotransformation half-lives in fish: QSAR modeling and consensus analysis. Sci Ttal Environ. 2014;470–471:1040–6.

    CAS  Google Scholar 

  62. Gramatica P, Cassani S, Sangion A. Aquatic ecotoxicity of personal care products: QSAR models and ranking for prioritization and safer alternatives’ design. Green Chem. 2016;18:4393–406.

    CAS  Google Scholar 

  63. Vitrac O, Lézervant J, Feigenbaum A. Decision trees as applied to the robust estimation of diffusion coefficients in polyolefins. J Appl Polym Sci. 2006;101:2167–86.

    CAS  Google Scholar 

  64. Hartle JC, Fox MA, Lawrence RS. Probabilistic modeling of school meals for potential bisphenol A (BPA) exposure. J Exposure Sci Environ Epidemiol. 2016;26:315–23.

    CAS  Google Scholar 

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Acknowledgements

We would like to thank Tanja Radusin (Nofima, Institute for food technology), Jorunn Nilsen, and Siw Bodil Fredriksen (Norner) for their help in better understanding the properties driving migration from plastic packaging. We also thank two anonymous reviewers for their comments to improve the paper’s structure and readability. This project was funded by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No 641459 (RELIEF).

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Correspondence to Mélanie Douziech.

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Douziech, M., Benítez-López, A., Ernstoff, A. et al. A regression-based model to predict chemical migration from packaging to food. J Expo Sci Environ Epidemiol 30, 469–477 (2020). https://doi.org/10.1038/s41370-019-0185-7

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