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Modeling of intraorgan arterial vasculature. I. Steady flow at low Reynolds numbers

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Abstract

Based on the statistical relationships between lengths and diameters of vessels in arterial beds obtained from measurements on plastic casts, a method is proposed for building models of intraorgan arterial vascualtures. The dependences of full hydraulic conductance on the model parameter values have been calculated. Discussed is the choice of adequate models based upon collation of the biophysical characteristics of the vasculatures.

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References

  1. W. R. Milnor, Hemodynamics (Williams & Wilkins, Baltimore, 1989).

    Google Scholar 

  2. S. Aharinejad, W. Schreiner, and F. Neumann, Anatom. Rec. 251, 50 (1998).

    Article  Google Scholar 

  3. W. Huang, R. T. Yen, M. Mclaurine, and G. Bledsoe, J. Appl. Physiol. 81, 2123 (1996).

    Google Scholar 

  4. R. Rosen, Optimality Principle in Biology (Mir, Moscow, 1969) [in Russian].

    Google Scholar 

  5. M. La Barbera, Science 249, 992 (1990).

    Article  ADS  Google Scholar 

  6. Y. Zhou, G. S. Kassab, and S. Molloi, Phys. Med. Biol. 44, 2929 (1999).

    Article  Google Scholar 

  7. M. Ye. Bondarenko, and N. N. Kizilova, Russian J. Biomech., No. 4, 52 (2002).

  8. S. H. Bennett, J. Appl. Physiol. 76, 455 (1994).

    Article  Google Scholar 

  9. D. J. Brown, IEEE Transact. Biomed. Eng. 43, 715 (1996).

    Article  Google Scholar 

  10. C. M. Quick, W. L. Young, and A. Noordergraaf, Amer. J. Physiol. 280, 1472 (2001).

    Google Scholar 

  11. S. T. Young, W. K. Wang, L. S. Chang, and T. S. Kuo, Acta Physiol. Scand. 145, 401 (1992).

    Article  Google Scholar 

  12. W. A. Lu, C. H. Cheng, Y. Y. Lin Wang, and W. K. Wang, Am. J. Chin. Med. 24, 315 (1994).

    Google Scholar 

  13. N. N. Kizilova, Izv. RAN, Ser. MZhG No. 5, 127 (2003).

  14. N. N. Kizilova, Mat. Modelirovanie 15(6), 65 (2003).

    MATH  Google Scholar 

  15. N. N. Kizilova, J. Chinese Inst. Eng. 26, 869 (2003).

    Google Scholar 

  16. C. A. Dawson, G. S. Krenz, and K. L. Karau, J. Appl. Physiol. 86, 569 (1999).

    Google Scholar 

  17. K. Horsfield and M. Woldenberg, Anat. Rec. 223, 245 (1989).

    Article  Google Scholar 

  18. W. Huang, R. T. Yen, M. MsLaurine, and G. Bledsou, J. Appl. Physiol. 81, 2123 (1996).

    Google Scholar 

  19. R. Z. Gan and R. T. Yen, J. Appl. Physiol. 77, 706 (1994).

    Google Scholar 

  20. S. H. Bennett, Amer. J. Physiol. 279, 3047 (2000).

    ADS  Google Scholar 

  21. G. B. West, J. H. Brown, and B. J. Enquist, Science 276, 122 (1999).

    Article  MathSciNet  Google Scholar 

  22. C. D. Murray, Proc. Natl. Acad. Sci. USA 12, 207 (1926).

    Article  ADS  Google Scholar 

  23. M. Zamir and H. Shee, Canad. J. Physiol. Pharmacol. 64, 661 (1985).

    Google Scholar 

  24. V. A. Mamisashvili and M. K. Babunashvili, Fiziol. Zh. No. 61, 1501 (1975).

  25. T. F. Sherman, J. Gen. Physiol. 78, 431 (1981).

    Article  Google Scholar 

  26. K. A. Shoshenko, A. S. Golub’, V. I. Brod, et al., Architectonics of the Vascular Bed (Nauka, Novosibirsk, 1982) [in Russian].

    Google Scholar 

  27. J. H. Van Beek, S. A. Roger, and J. B. Bassingth-waighte, Amer. J. Physiol. 257, 1670 (1989).

    Google Scholar 

  28. N. N. Kizilova, Lect. Notes Computer Sci. 3044, 476 (2004).

    Article  Google Scholar 

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Authors and Affiliations

  1. Kharkov National University, Kharkov, 61077, Ukraine

    N. N. Kizilova

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  1. N. N. Kizilova
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Original Russian Text © N.N. Kizilova, 2006, published in Biofizika, 2006, Vol. 51, No. 4, pp. 733–737.

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Kizilova, N.N. Modeling of intraorgan arterial vasculature. I. Steady flow at low Reynolds numbers. BIOPHYSICS 51, 654–658 (2006). https://doi.org/10.1134/S000635090604021X

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  • DOI: https://doi.org/10.1134/S000635090604021X

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