A mathematical model of erythropoiesis in mice and rats Part 2: Stimulated erythropoiesis

Abstract A mathematical model of erythropoietic cell production and its regulation process has been proposed in a preceding paper. It is primarily based on the assumption that the number of cell divisions taking place in the CFU‐E and erythropoietic precursor stages is regulated depending on the oxygen supply of the tissue. Quantitative dose‐response relationships for in vivo erythropoiesis are suggested. Here, we demonstrate that this model adequately reproduces data obtained in situations of stimulated erythropoiesis in mice and rats. In detail, this implies a quantitative description of the following processes: (1) Changes in tissue oxygen tension (PtO2) following removal of red cells (bleeding, haemolytic anaemia) or increase in plasma volume (dilution anaemia) or decrease in atmospheric oxygen pressure (hypoxia). (2) PtO2 dependent erythropoietin (EPO) production. (3) Dose‐response of EPO on erythropoietic amplification (up to two to four additional mitoses). (4) The changes of the marrow transit time.

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