| Contents |
| We present a model for erythropoiesis including a sub-model for the iron dynamics in the body.
The core of the model consists of structured population equations for the different cell stages
which have to be considered. In order to link the model for the iron dynamics to the structured
population equations in a physiologically correct way we have to consider structured population
equations with up to three structuring attributes. We shall also consider approximation schemes
based on the theory of abstract evolution equations which provide approximating finite
dimensional dynamical systems which can advantageously be used for parameter estimation. Finally,
we shall present some applications of the model to issues in the dialysis treatment.
\medskip\noindent{\bf References.}\newline
[1] Fuertinger, D.H., Kappel, F., Thijssen, S., Levin, N., and Kotanko, P.: {\emph A model of
erythropoiesis in adults with sufficient iron availability.} J. Math. Biol. {\bf 66}(6),
1209 -- 1240 (2013).\newline
[2] Ito, K., and Kappel, F.: Evolution Equations and Approximations. World Scientific,
Singapoore (2002).\newline
[3] Kappel, F., and Zhang, K.: {\emph Approximation of linear age-structured population models
using Legendre polynomials}. J. Math. Anal. Appl. {\bf 180}, 518 -- 549 (1993). |
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