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A mathematical model of iron metabolism
Authors:P. Colli Franzone  A. Paganuzzi  M. Stefanelli
Affiliation:(1) Istituto di Analisi Numerica del C.N.R., C. so Carlo Alberto, 5, I-27100 Pavia, Italy;(2) Istituto di Informatica e Sistemistica, Strada Nuova, 106/C, I-27100 Pavia, Italy
Abstract:A mathematical model of iron metabolism is presented. It comprises the following iron pools within the body: transferrin-bound iron in the plasma, iron in circulating red cells and their bone marrow precursors, iron in mucosal, parenchymal and reticuloendothelial cells. The control exerted by a hormone, called erythropoietin, on bone marrow utilization of iron for hemoglobin synthesis is taken into account. The model so obtained consists of a system of functional differential equations of retarded type. Most model parameters can be estimated from radiotracer experiments, others can be measured and numerical values can be assigned to the remaining ones making few reasonable assumptions according to the available physiological knowledge. Iron metabolism behavior under different therapeutical treatments was simulated. Model predictions were compared to experimental data collected in clinical routine.This work has been partially supported by C.N.R. (Italy) through grants N. 80.01227.07 and N. 81.00888.07
Keywords:Mathematical model  Iron metabolism  Erythropoiesis  Functional differential equations of retarded type
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