A comprehensive mathematical model of stem cell proliferation which reproduces most of the published experimental results.
On the basis of experimental knowledge about haemopoietic stem cells a catalogue of fundamental statements is formulated. From this a simple mathematical model of haemopoietic regulation mechanisms is developed. The functional net effects of regulatory processes which are still unknown or unmeasurable are estimated using evolution arguments. The model is developed in three steps. It allows description of the self-replication of stem cells after direct destruction as well as their reaction to increased or reduced needs in the erythropoietic system. The most important experimental data about changes in CFUs, BFUe and CFUe after acute or chronic irradiation, anaemia, hypoxia, hypertransfusion or direct erythropoietic stimulation can be reproduced within the model. The model allows us to understand most of the results of experimental stem cell research. Furthermore, it can be applied for a more precise analysis of the existing data. Predictions about the results of certain experiments can be made.
D000818:Animals; D002454:Cell Differentiation / Q000528:radiation effects; D002455:Cell Division / Q000528:radiation effects; D004920:Erythropoiesis; D006412:Hematopoietic Stem Cells / Q000502:physiology*; D006470:Hemorrhage; D000860:Hypoxia; D008433:Mathematics; D008954:Models, Biological