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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of molecular medicine 61 (1983), S. 935-940 
    ISSN: 1432-1440
    Keywords: Mathematical models ; Blood formation ; Stem cells ; Erythropoiesis ; Thrombopoiesis
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary The use of mathematical models in haematology is shown by some examples concerning stem cell kinetics, erythropoiesis and thrombopoiesis. At first, model assumptions are formulated which include the biological knowledge and some regulatory hypotheses. Then, the reaction of the model on stimulation and suppression is calculated. Finally, by comparison with experimental or clincal data one can evaluate how far the model assumptions are sufficient to understand the measurements. Thus one can exclude wrong hypotheses and identify the important regulatory influences.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    Annals of hematology 49 (1984), S. 427-439 
    ISSN: 1432-0584
    Keywords: Hematopoiesis ; Stem cells ; Mathematical model ; Hypoxia ; Posthypoxia
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Notes: Summary A previously described mathematical model of the hematopoietic stem cell system has been extended to permit a detailed understanding of the data during and after hypoxia. The model includes stem cells, erythroid and granuloid progenitors and precursors. Concerning the intramedullary feedback mechanisms two basic assumptions are made: 1) The fraction “a” of CFU-S in active cell cycle is regulated. Reduced cell densities of CFU-S, progenitors or precursors lead to an accelerated stem cell cycling. Enlarged cell densities suppress cycling. 2) The self renewal probability “p” of CFU-S is also regulated. The normal steady state is described by p=0.5, indicating that on statistical average each dividing mother stem cell is replaced by one daughter stem cell, while the second differentiates. Diminished cell densities of CFU-S or enlarged densities of progenitors and precursors induce a more intensive self renewal (p〉0.5), such that the stem cell number increases. The self renewal probability declines (p〈0.5) if too many CFU-S or too few progenitors and precursors are present. The model reproduces bone marrow data for CFU-S, BFU-E, CFU-C, CFU-E, 59 Fe-uptake and nucleated cells in hypoxia and posthypoxia. Although the ratio of differentiation into the erythroid and granuloid cell lines is kept constant in the model, a changing ratio of CFU-E and CFU-C results. The model suggests that stem cells and progenitor cells are regulated by a regulatory interference of erythropoiesis and granulopoiesis.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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