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A mathematical model for simulating virus transport through synthetic barriers.

M R Myers1, C D Lytle, L B Routson

  • 1Center for Devices and Radiological Health, U.S. FDA, HFZ-132, Rockville, MD 20852, USA. mrm@cdrh.fda.gov

Bulletin of Mathematical Biology
|March 11, 1999
PubMed
Summary

This study introduces a mathematical model to predict virus transport through synthetic barriers like gloves and condoms. The model, validated with experiments, helps quantify risks from defects and material porosity.

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Area of Science:

  • Biophysics
  • Materials Science
  • Infectious Disease Prevention

Background:

  • Synthetic barriers (gloves, condoms, masks) are crucial for preventing disease transmission.
  • Manufacturing defects, usage tears, and material porosity pose risks by allowing virus penetration.
  • Quantifying virus transport through these barriers is essential for risk assessment but experimentally challenging due to small dimensions.

Purpose of the Study:

  • To develop and validate a mathematical model for predicting virus transport through synthetic barriers.
  • To incorporate mechanisms of virus transport, including fluid flow, Brownian motion, and virus-barrier interactions.
  • To determine the impact of environmental factors like salinity on virus transport rates.

Main Methods:

  • Developed a mathematical model describing virus transport mechanisms.

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  • Empirically determined virus-barrier interaction rate constants for bacterial viruses and latex membranes.
  • Investigated the effect of carrier-fluid salinity on rate constants.
  • Validated the model using laser-drilled pores in condoms and comparing predictions with measured virus transmission.

    • Main Results:

    • The model successfully predicts virus transport by incorporating fluid flow, Brownian motion, and interaction forces.
    • Empirically determined rate constants for four bacterial viruses interacting with latex membranes were established.
    • Salt concentration significantly affected the determined rate constants.
    • Model predictions for virus transmission through condom pores closely matched experimental measurements.

    Conclusions:

    • The developed mathematical model provides a valuable tool for quantifying virus transport risk through synthetic barriers.
    • The model's accuracy was confirmed through validation experiments, demonstrating its predictive power.
    • The findings highlight the model's utility in identifying scenarios where standard barrier integrity tests may underestimate actual risks.