Uremic Toxins pp 249-252 | Cite as

Predicted Time of Dialysis in Patients with Different Volumes of Urea Distribution — The Use of Mathematical Model

  • Ninoslav Ivanovski
  • Georgi Masin
Part of the Advances in Experimental Medicine and Biology book series (AEMB, volume 223)


On the basis of a confirmed evidence that urea,as a major product of protein catabolism1, is a good indicator for the “uremic toxycity”,there were worked out mathematical models which would try to define the parametres of the individual approach of the dialysis therapy.2,3


Dialysis Therapy Balkan Endemic Nephropathy Chronic Pyelonephritis Single Pool Home Dialysis 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    J. Bergström and P. Fürst, Uraemic toxins, in: "Replacement of Renal Function by Dialysis," W. Drukker, W. Parsons, and J. Maher ed., Martinus Nijhoff Medical Division, The Hague, Boston, and London (1983).Google Scholar
  2. 2.
    J. Sargent and F. Gotch, Mathematic modeling of dialysis therapy. Kidney International 18(Suppl):S-2-S-10 (1980).Google Scholar
  3. 3.
    F. Gotch, J. Sargent, M. Keen, M. Lam, M. Prowitt, and M. Grady, Clinical results of intermittent dialysis therapy (IDT) guided by ongoing kinetic analysis of urea metabolism. Trans Amer Soc Artif Int Organs XXII:175 (1975).Google Scholar
  4. 4.
    D. Riggs, “The mathematical approach to physiological problems,” The M.I.T. Press Cambridge, Massachusetts, London, (1976).Google Scholar
  5. 5.
    R. Swenson, D. Sanfelipo, D. Hall, W. Walker, Analysis of changing plasma concentration of urea and Creatinin in dialysis by means of a semple mathematical model and a programmable pocket calculator, Opuscula Medico-Technica Lundensia XVII (1977).Google Scholar
  6. 6.
    J. Sargent, Control of dialysis by single pool urea model:The Nationale Cooperative Dialysis Study, Kidney International 23(Suppl 13):S-19- S-25 (1983).Google Scholar
  7. 7.
    N. Ivanovski, "Urea kinetic model as a basis for individual dialysis therapy, M.Sc Thesis, University “Ciril and Methodius,” Skopje (1985)Google Scholar
  8. 8.
    E. G. Lowrie and P. B. Teehan, Principles of prescribing dialysis the rapy: Implementing recommendations from Nationale Cooêrative Dialysis Study, Kidney International 23(Suppl 13):S-113-S-122 (1983).Google Scholar
  9. 9.
    C. Colton and E. Lowrie, Hemodialysis: Physical principles and technical considerations, in: “The Kidney,” B. Brener and F. Rector, ed., Saunders, Philadelphia, London, Toronto, Mexico City, Rio de Janeiro, Tokyo (1981).Google Scholar
  10. 10.
    R. Brent, Some efficient algorithms for solving systema of nonlinear equations, SIAM J Numer Audl 10:327 (1973).CrossRefGoogle Scholar

Copyright information

© Plenum Press, New York 1987

Authors and Affiliations

  • Ninoslav Ivanovski
    • 1
  • Georgi Masin
    • 1
  1. 1.Department of Nephrology, Medical FacultyUniversity “Ciril and Methodius”SkopjeYougoslavia

Personalised recommendations