Journal of Mathematical Biology

, Volume 66, Issue 6, pp 1209–1240

A model of erythropoiesis in adults with sufficient iron availability

  • Doris H. Fuertinger
  • Franz Kappel
  • Stephan Thijssen
  • Nathan W. Levin
  • Peter Kotanko
Article

DOI: 10.1007/s00285-012-0530-0

Cite this article as:
Fuertinger, D.H., Kappel, F., Thijssen, S. et al. J. Math. Biol. (2013) 66: 1209. doi:10.1007/s00285-012-0530-0

Abstract

In this paper we present a model for erythropoiesis under the basic assumption that sufficient iron availability is guaranteed. An extension of the model including a sub-model for the iron dynamics in the body is topic of present research efforts. The model gives excellent results for a number of important situations: recovery of the red blood cell mass after blood donation, adaptation of the number of red blood cells to changes in the altitude of residence and, most important, the reaction of the body to different administration regimens of erythropoiesis stimulating agents, as for instance in the case of pre-surgical administration of Epoetin-α. The simulation results concerning the last item show that choosing an appropriate administration regimen can reduce the total amount of the administered drug considerably. The core of the model consists of structured population equations for the different cell populations which are considered. A key feature of the model is the incorporation of neocytolysis.

Keywords

ErythropoiesisNeocytolysisStructured population models

Mathematics Subject Classification

92C3092D2535Q92

Copyright information

© Springer-Verlag 2012

Authors and Affiliations

  • Doris H. Fuertinger
    • 1
  • Franz Kappel
    • 1
  • Stephan Thijssen
    • 2
  • Nathan W. Levin
    • 2
  • Peter Kotanko
    • 2
  1. 1.Institute for Mathematics and Scientific ComputingUniversity of GrazGrazAustria
  2. 2.Renal Research Institute New YorkNew YorkUSA