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Blood flow and macromolecular transport in curved blood vessels

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Abstract

A numerical analysis of the steady/pulsatile flow and macromolecular (such as LDL and Albumin) transport in curved blood vessels was carried out. The computational results predict that the vortex of the secondary flow is time-dependent in the aortic arch. The concentration of macromolecule concentrates at the region of sharp curve, and the wall concentration at the outer part is higher than that at the inner part. Atherosclerosis and thrombosis are prone to develop in such regions with sharp flow.

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References

  1. Wen Gongbi. The mechanism of atherogenesis and macromolecular transport across the arterial wall[J]. Advances in Mechanics, 1993, 23(2):223–233 (in Chinese).

    Google Scholar 

  2. Dean W R. Note on the motion of fluid in a curved pipe[J]. Phil Magazine, 1927, 4(20):208–223.

    MATH  Google Scholar 

  3. Shahcheraghi N, Dwyer H A, Cheer A Y, et al. Unsteady and three-dimensional simulation of blood flow in the human aortic arch[J]. J Biomechanical Engineering, 2002, 124(4):378–387.

    Article  Google Scholar 

  4. Chang L J, Tarbell J M. Numerical simulation of fully developed sinusoidal and pulsatile (physiological) flow in curved tubes[J]. J Fluid Mech, 1985, 161:175–198.

    Article  MATH  MathSciNet  Google Scholar 

  5. Tomai Yutaka, Tanishita Kazuo. Fully developed intermittent flow in a curved tube[J]. J Fluid Mech, 1997, 347:263–287.

    Article  MathSciNet  Google Scholar 

  6. Torii Ryo, Oshima Marie. Numerical simulation system for blood flow in the cerebral artery using CT imaging data[J]. JSME Internat J, Ser C, 2001, 44(4):982–989.

    Article  Google Scholar 

  7. Moore James E, Weydahl Erlend S, Santamarina Aland. Frequency dependence of dynamic curvature effects on flow through coronary arteries[J]. J Biomechanical Engineering, 2001, 123(2):129–133.

    Article  Google Scholar 

  8. Qiu Yuchen, Tarbell John M. Numerical simulation of pulsatile flow in a compliant curved tube model of coronary artery[J]. J Biomechanical Engineering, 2000, 122(1):77–85.

    Article  Google Scholar 

  9. Qiao Aike, Liu Youjun, Wu Shigui. Numerical analysis of hemodynamics in curved arteries[J]. Chinese Journal of Computational Mechanics, 2003, 20(2):155–163 (in Chinese).

    Google Scholar 

  10. Rappitsch G, Perktold K. Pulsatile albumin transport in large arteries: a numerical simulation study[J]. J Biomechanical Engineering, 1996, 118(4):511–519.

    Google Scholar 

  11. Stangeby D Kim, Ethier C Ross. Computational analysis of coupled blood-wall arterial LDL transport[J]. J Biomechanical Engineering, 2002, 124(1):1–8.

    Article  MATH  Google Scholar 

  12. Lutostansky Elizabeth M, Karner Gerhard, Rappitsch Gerhard, et al. Analysis of hemodynamic fluid phase mass transport in a separated flow region[J]. J Biomechanical Engineering, 2003, 125(2):189–196.

    Article  Google Scholar 

  13. Li Xinyu, Wen Gongbi, Li Ding. Computer simulation of non-Newtonian flow and mass transport through coronary arterial stenosis[J]. Applied Mathematics and Mechanics (English Edition), 2001, 22(4):409–424.

    Article  MATH  Google Scholar 

  14. Wang Xin, Huang Hao, Wen Gong-bi. The calculation of transport for curved tubes with permeable arterial wall[J]. Universitatis Pekinensis (Acta Scientiarum Naturalium), 2001, 37(5):658–668 (in Chinese).

    Google Scholar 

  15. Xu Yangqing, Wen Gongbi. Blood flow and macromolecular transport in artery with axisymmetric stenosis[J]. Chinese Journal of Biomedical Engineering, 2003, 22(1):155–163 (in Chinese).

    Google Scholar 

  16. Li Ding, Wen Gongbi. The steady/pulsatile flow and macromolecular transport in T-bifurcation blood vessels[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5):532–544.

    Article  MATH  MathSciNet  Google Scholar 

  17. Su Mingde, Huang Suyi. Basic of Computational Fluid Mechanics[M]. Tsinghua University Press, Beijing, 1997 (in Chinese).

    Google Scholar 

  18. Wen Gongbi, Chen Zuobin. Unsteady/steady numerical simulation of three-dimensional incompressible Navier-Stokes equations on artificial compressibility[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(1):59–72.

    Article  MATH  Google Scholar 

  19. Liu Zhaorong. Cardiovascular Fluid Mechanics[M]. Fudan University Press, Shanghai, 1986 (in Chinese).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mechanics and Engineering Science, State Key Laboratory for Turbulence and Complex System, Peking University, Beijing, 100871, P. R. China

    Wei Lan  (魏兰), Wen Gong-bi  (温功碧) & Tan Wen-chang  (谭文长) (Professor)

  2. Institute of Applied Physics and Computational Mathematics, Beijing, 100088, P. R. China

    Wei Lan  (魏兰)

Authors
  1. Wei Lan  (魏兰)
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  2. Wen Gong-bi  (温功碧)
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  3. Tan Wen-chang  (谭文长)
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Corresponding author

Correspondence to Tan Wen-chang  (谭文长).

Additional information

Communicated by HUANG Yong-nian

Project supported by the National Natural Science Foundation of China (Nos.10372007, 30571900 and 10572006); the Natural Science Foundation of Beijing (No.7062015)

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Wei, L., Wen, Gb. & Tan, Wc. Blood flow and macromolecular transport in curved blood vessels. Appl Math Mech 27, 1223–1231 (2006). https://doi.org/10.1007/s10483-006-0909-y

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  • DOI: https://doi.org/10.1007/s10483-006-0909-y

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Chinese Library Classification

2000 Mathematics Subject Classification

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