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Protective Face Shield Effectiveness: Mathematical Modelling

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Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact

Abstract

A face shield is a type of the personal protective equipment that is used to protect a person’s face from various external hazardous influences—splashes, drops and aerosols, thermal and optical radiation. It is believed that face shields effectively prevent contamination of the mucous membranes of the human body. According to the World Health Organization (WHO) recommendations, social and medical personnel in contact with Covid-19 patients should use similar protective equipment, including protective face shields. In the present work, a 3D mathematical model of the airflow distribution near the cylindrical surface of a face shield was explored. The model is based on a numerical solution of the Navier–Stokes gas dynamics equations. The simulation results are compared with full-scale experiments. A probability model is also considered. Quantitative conclusions are made about the effectiveness of the protective face shields.

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References

  1. Edelstein-Keshet, L.: Mathematical models in biology. SIAM (2005)

    Google Scholar 

  2. Borak, J.: Airborne transmission of COVID-19. Occup. Med. (2020). https://doi.org/10.1093/occmed/kqaa080

    Article  Google Scholar 

  3. Han, Q., Lin, Q., Ni, Z., You, L.: Uncertainties about the transmission routes of 2019 novel coronavirus. Influenza Other Respir. Viruses. (2020). https://doi.org/10.1111/irv.12735

    Article  Google Scholar 

  4. Bonato, G., Dioscoridi, L., Mutignani, M.: Faecal-oral transmission of SARS-COV-2: practical implications. Gastroenterology (2020). https://doi.org/10.1053/j.gastro.2020.03.066

    Article  Google Scholar 

  5. Qu, G., Li, X., Hu, L., Jiang, G.: An imperative need for research on the role of environmental factors in transmission of novel coronavirus (COVID-19). Environ. Sci. Technol. (2020). https://doi.org/10.1021/acs.est.0c01102

    Article  Google Scholar 

  6. Ren, Y., Li, L., Jia, Y.-M.: New method to reduce COVID-19 transmission - the need for medical air disinfection is now. J. Med. Syst. (2020) https://doi.org/10.1007/s10916-020-01585-8

  7. Household transmission investigation protocol for 2019-novel coronavirus (COVID-19) infection. Geneva: World Health Organization, (2020)

    Google Scholar 

  8. Wei, L., Bo, Z., Jianhua, L., Shihua, L., Zhiqiang, C., et al.: Characteristics of Household Transmission of COVID-19. Clin. Infect. Dis. (2020). https://doi.org/10.1093/cid/ciaa450

    Article  Google Scholar 

  9. Kenneth, F.M.: The transmission of infection through the eye. JAMA (1919). https://doi.org/10.1001/jama.1919.02610090020005

    Article  Google Scholar 

  10. Belser, J.A., Gustin, K.M., Maines, T.R., Pantin-Jackwood, M.J., Katz, J.M., Tumpey, T.M.: Influenza virus respiratory infection and transmission following ocular in oculation in ferrets. PLoS Pathog. (2012). https://doi.org/10.1371/journal.ppat.1002569

    Article  Google Scholar 

  11. Belser, J.A., Lash, R.R., Garg, Sh., Tumpey, T.M., Maines, T.R.: The eyes have it: influenza virus infection beyond the respiratory tract. Lancet Infect. Dis. (2018). https://doi.org/10.1016/S1473-3099(18)30102-6

    Article  Google Scholar 

  12. Morawska, L., Cao, J.: Airborne transmission of SARS-CoV-2: The world should face the reality. Environ Int. (2020). https://doi.org/10.1016/j.envint.2020.105730

    Article  Google Scholar 

  13. Van Doremalen, N., Bushmaker, T., Morris, D., Holbrook, M.: Aerosol and surface stability of HCoV-19 (SARS-CoV-2) compared to SARS-CoV-1. N. Engl. J. Med. (2020). https://doi.org/10.1101/2020.03.09.20033217

    Article  Google Scholar 

  14. Roberge, R.J.: Face shields for infection control. A review. J. Occup. Environ Hyg. (2016). https://doi.org/10.1080/15459624.2015.1095302

    Article  Google Scholar 

  15. Infection prevention and control during health care when coronavirus disease (COVID-19) is suspected or confirmed. Geneva: World Health Organization, (2020)

    Google Scholar 

  16. Chu, D.K., Akl, E.A., Duda, S., Solo, K., Yaacoub, S., Schüemann, H. J. et al.: Physical distancing, face masks, and eye protection to prevent person-to-person transmission of SARS-CoV-2 and COVID-19: a systematic review and meta-analysis. Lancet (2020) https://doi.org/10.1016/S0140-6736(20)31142-9

  17. Loitsyanskii, L.G.: Mechanics of Liquids and Gases. Pergamon Press (1966)

    Google Scholar 

  18. Eliezer, Sh., Ghatak, A., Hora, H.: Fundamentals of Equations of State. World Scientific (2002)

    Google Scholar 

  19. Kim, N.-H.: Introduction to Nonlinear Finite Element Analysis. Springer (2015)

    Google Scholar 

  20. Sabonnadiere, J.-C., Coulomb, J.-L.: Finite Element Methods in CAD: Electrical and Magnetic Fields. Springer-Verlag (1987)

    Google Scholar 

  21. Lipschutz, S., Lipson, M.: Linear Algebra. McGraw-Hill (2009)

    Google Scholar 

  22. Lei, Z., Yang, J., Zhuang, Z., Roberge, R.: Simulation and Evaluation of Respirator Faceseal Leaks Using Computational Fluid Dynamics and Infrared Imaging. Ann. Occup. Hyg. (2012). https://doi.org/10.1093/annhyg/mes085

  23. Wizner, K., Nasarwanji, M., Fisher, E., Steege, A.L., Boiano, J.M.: Exploring respiratory protection practices for prominent hazards in healthcare settings. J. Occup. Environ Hyg. (2018). https://doi.org/10.1080/15459624.2018.1473581

    Article  Google Scholar 

  24. Advice on the use of masks in the context of COVID-19. Geneva: World Health Organization, (2020)

    Google Scholar 

  25. Foo, C.C., Goon, A.T., Leow, Y.H., Goh, C.L.: Adverse skin reactions to personal protective equipment against severe acute respiratory syndrome-a descriptive study in Singapore. Contact Derm. (2006). https://doi.org/10.1111/j.1600-0536.2006.00953.x

    Article  Google Scholar 

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Correspondence to Arsen Pskhu .

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Nagoev, Z., Narozhnov, V., Pskhu, A., Rekhviashvili, S. (2021). Protective Face Shield Effectiveness: Mathematical Modelling. In: Agarwal, P., Nieto, J.J., Ruzhansky, M., Torres, D.F.M. (eds) Analysis of Infectious Disease Problems (Covid-19) and Their Global Impact. Infosys Science Foundation Series(). Springer, Singapore. https://doi.org/10.1007/978-981-16-2450-6_3

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