Advertisement

Hemomath pp 159-170 | Cite as

Blood Filtration in Kidneys

  • Antonio Fasano
  • Adélia Sequeira
Chapter
  • 802 Downloads
Part of the MS&A book series (MS&A, volume 18)

Abstract

Kidneys are organs performing a number of fundamental operations of great complexity which involve a delicate combination of fluid dynamics and chemistry whose aim is not only to purify blood, but also to regulate blood pressure. In this chapter we will concentrate on modeling their filtrating action, which is made possible thanks to the admirable structure of the capillaries in the filtration units (the nephrons), provided with fenestrations calibrated in such a way to allow the passage of molecules not exceeding a certain size, so to prevent proteins loss.

References

  1. 1.
    W.M. Deen, C.R. Robertson, B.M. Brenner, A model of glomerular ultrafiltration in the rat. Am. J. Physiol. 223(5), 1178–1183 (1972)Google Scholar
  2. 2.
    G. Eknoyan, The kidneys in the Bible: what happened? J. Am. Soc. Nephrol. 16, 3464–3471 (2005)CrossRefGoogle Scholar
  3. 3.
    G. Eknoyan, N.G. De Santo, G. Capasso, S.G. Massry, History of nephrology. 1st international conference. Am. J. Nephrol. 14 (1994)Google Scholar
  4. 4.
    A. Fasano, A. Farina, J. Mizerski, A new model for blood flow in fenestrated capillaries with application to ultrafiltration in kidney glomeruli. AMSA 23, 319–337 (2013)zbMATHGoogle Scholar
  5. 5.
    J. Keener, J. Sneyd, Mathematical Physiology. II, System Physiology. Interdisciplinary Applied Mathematics, vol. 8/II, 2nd edn. Springer, New York (2009)Google Scholar
  6. 6.
    E.M. Landis, J.R. Pappenheimer, Exchange of substances through the capillary walls, in Handbook of Physiology. Circulation, ed. by W.F. Hamilton (American Physiological Society, Washington, DC, 1963)Google Scholar
  7. 7.
    A.T. Layton, Mathematical modeling of kidney transport. Wiley Interdiscip. Rev. Syst. Biol. Med. 5(5), 557–573 (2013)CrossRefGoogle Scholar
  8. 8.
    P. Marandola, S. Musitell, H. Jallous, A. Speroni, T. de Bastiani, The Aristotelian kidney. Am. J. Nephrol. 14(4–6), 302–306 (1994)CrossRefGoogle Scholar
  9. 9.
    J.M. Mc Bride, Embryology, anatomy, and histology of the kidney, in The Kidney. A Comprehensive Guide to Pathologic Diagnosis and Management, ed. by D.E. Hansel, C.J. Kane, G.P. Paner, S.S. Chang (Springer, New York, 2016), pp. 1–18Google Scholar
  10. 10.
    L.G. Navar, W.J. Arendshorst, T.L. Pallone, E.W. Inscho, J.D. Imig, P.D. Bell, The renal microcirculation, in Comprehensive Physiology. Supplement 9: Handbook of Physiology, The Cardiovascular System, Microcirculation (Wiley-Blackwell, Hoboken, 2008), pp. 550–683Google Scholar
  11. 11.
    J.R. Nyengaard, N. Marcussen, The number of glomerular capillaries estimated by an unbiased and efficient stereological method. J. Microsc. 171, 27–37 (1993). Anat. Rec. 232, 194–201 (1992)Google Scholar
  12. 12.
    J.A. Scurlock, B.R. Andersen, Diagnoses in Assyrian and Babylonian Medicine: Ancient Sources, Translations, and Modern Medical Analyses (University of Illinois Press, Champaign, 2005)Google Scholar
  13. 13.
    E.H. Starling, On the absorption of fluids from the connective tissue spaces. J. Physiol. 19, 312–326 (1896)CrossRefGoogle Scholar
  14. 14.
    F. Wallis, Inventing diagnosis: Theophilus’ De Urinis in the classroom. Acta Hisp. Med. Sci. Hist. Illus. 20, 31–73 (2000)Google Scholar
  15. 15.
    P.L. Wershub, Urology from Antiquity to the 20th Century (Warren H. Green, Inc., St. Louis, 1970), pp. 5–38Google Scholar
  16. 16.
    T.E. Woodcock, T.M. Woodcock, Revised Starling equation and the glycocalyx model of transvascular fluid exchange: an improved paradigm for prescribing intravenous fluid therapy. Br. J. Anaesthesia 108(3), 384–94 (2012)CrossRefGoogle Scholar

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Antonio Fasano
    • 1
  • Adélia Sequeira
    • 2
  1. 1.Fabbrica Italiana Apparecchi Biomedicali (FIAB)Università degli Studi di FirenzeFirenzeItaly
  2. 2.Instituto Superior TécnicoUniversidade de LisboaLisboaPortugal

Personalised recommendations