Biomechanics and Modeling in Mechanobiology

, Volume 13, Issue 3, pp 515–526 | Cite as

Quantifying uncertainties in the microvascular transport of nanoparticles

  • Tae-Rin Lee
  • M. Steven Greene
  • Zhen Jiang
  • Adrian M. Kopacz
  • Paolo Decuzzi
  • Wei Chen
  • Wing Kam Liu
Original Paper

Abstract

The character of nanoparticle dispersion in the microvasculature is a driving factor in nanoparticle-based therapeutics and bio-sensing. It is difficult, with current experimental and engineering capability, to understand dispersion of nanoparticles because their vascular system is more complex than mouse models and because nanoparticle dispersion is so sensitive to in vivo environments. Furthermore, uncertainty cannot be ignored due to the high variation of location-specific vessel characteristics as well as variation across patients. In this paper, a computational method that considers uncertainty is developed to predict nanoparticle dispersion and transport characteristics in the microvasculature with a three step process. First, a computer simulation method is developed to predict blood flow and the dispersion of nanoparticles in the microvessels. Second, experiments for nanoparticle dispersion coefficients are combined with results from the computer model to suggest the true values of its unknown and unmeasurable parameters—red blood cell deformability and red blood cell interaction—using the Bayesian statistical framework. Third, quantitative predictions for nanoparticle transport in the tumor microvasculature are made that consider uncertainty in the vessel diameter, flow velocity, and hematocrit. Our results show that nanoparticle transport is highly sensitive to the microvasculature.

Keywords

Blood flow simulation Nanoparticle transport Uncertainty quantification Bayesian updating 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Tae-Rin Lee
    • 1
    • 4
  • M. Steven Greene
    • 1
  • Zhen Jiang
    • 1
  • Adrian M. Kopacz
    • 1
  • Paolo Decuzzi
    • 4
  • Wei Chen
    • 1
  • Wing Kam Liu
    • 2
    • 3
    • 1
  1. 1.Department of Mechanical EngineeringNorthwestern UniversityEvanstonUSA
  2. 2.School of Mechanical EngineeringSungkyunkwan UniversitySuwonRepublic of Korea
  3. 3.Distinguished Scientists Program CommitteeKing Abdulaziz University (KAU)JeddahSaudi Arabia
  4. 4.Department of Translational ImagingThe Methodist Hospital Research InstituteHoustonUSA

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