Skip to main content

Multiscale Simulations for Fluid Structure Interaction Problems with Biomedical Applications

  • Conference paper
  • First Online:
Fluid-Structure-Sound Interactions and Control (FSSIC 2017)

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Included in the following conference series:

  • 1092 Accesses

Abstract

A numerical method for massively parallel computing to solve fluid-structure interaction problems was developed and the method was employed for solving the multiscale problems in biomedical applications. As one of the examples, a platelet adhesion process to the vessel wall, which occurs at the initial stage of a thrombosis, was analyzed using the multiscale method of coupling continuum scale finite difference method with the molecular scale Monte Carlo method. The platelets adhesion to the injured vessel wall is caused by the protein-protein binding (GP1b-α on the platelet—VWF on the wall.). This protein-protein binding force is evaluated by Monte Carlo simulation, solving the stochastic process of each biding. Adhered platelets also feel the fluid mechanical force from blood flow and this force is affected by the presence of red blood cells, which causes the drastic change to the adhesion process. As another example of multiscale simulations, ultrasound therapy method using microbubbles are also explained.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Barthés-Biesel D, Rallison JM (1981) The time-dependent deformation of a capsule freely suspended in a linear shear flow. J Fluid Mech 113:251–267

    Article  Google Scholar 

  2. Brackbill JU, Kothe DB, Zemach C (1992) A continuum method for modeling surface tension. J Comput Phys 100:335–354

    Article  MathSciNet  Google Scholar 

  3. Gaehtgens P, Duhrssen C, Albrecht KH (1980) Motion, deformation, and interaction of blood cells and plasma during flow through narrow capillary tubes. Blood Cells 6:799–817

    Google Scholar 

  4. Ii S, Gong X, Sugiyama K, Wu J, Huang H, Takagi S (2012) A full Eulerian fluid-membrane coupling method with a smoothed volume-of-fluid approach. Commun Comput Phys 12(2):544–576

    Article  MathSciNet  Google Scholar 

  5. Ii S, Sugiyama K, Takeuchi S, Takagi S, Matsumoto Y (2012) A computational blood flow analysis in a capillary vessel including multiple red blood cells and platelets. J Biomech Sci Eng 7:72–83

    Article  Google Scholar 

  6. Matsumoto Y, Allen JS, Yoshizawa S, Ikeda T, Kaneko Y (2005) Medical ultrasound with microbubbles. Exp Thermal Fluid Sci 29(3):255–265

    Article  Google Scholar 

  7. Okita K, Sugiyama K, Takagi S, Matsumto Y (2013) Microbubble behavior in an ultrasound field for high intensity focused ultrasound therapy enhancement. J Acoust Soc Am 134(2):1576–1585

    Article  Google Scholar 

  8. Skalak R, Tözeren A, Zarda PR, Chien S (1973) Strain energy function of red blood cell membranes. Biophys J 13:245–264

    Article  Google Scholar 

  9. Sugiyama K, Ii S, Takeuchi S, Takagi S, Matsumoto Y (2011) A full Eulerian finite difference approach for solving fluid–structure coupling problems. J Comput Phys 230(3):596–627

    Article  MathSciNet  Google Scholar 

  10. Sugiyama K, Ii S, Shimizu K, Noda S, Takagi S (2017) A full Eulerian method for fluid-structure interaction problems. Proc IUTAM 20:159–166

    Article  Google Scholar 

  11. Takagi S, Sugiyama K, Ii S, Matsumoto Y (2012) A review of full Eulerian methods for fluid structure interaction problems. J Appl Mech 79(1):010911

    Article  Google Scholar 

  12. Zhao H, Isfahani AHG, Olson LN, Freund JB (2010) A spectral boundary integral method for flowing blood cells. J Comput Phys 229:3726–3744

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Shu Takagi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Takagi, S., Shimizu, K., Ii, S., Sugiyama, K., Okita, K. (2019). Multiscale Simulations for Fluid Structure Interaction Problems with Biomedical Applications. In: Zhou, Y., Kimura, M., Peng, G., Lucey, A., Huang, L. (eds) Fluid-Structure-Sound Interactions and Control. FSSIC 2017. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-7542-1_31

Download citation

  • DOI: https://doi.org/10.1007/978-981-10-7542-1_31

  • Published:

  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-7541-4

  • Online ISBN: 978-981-10-7542-1

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics