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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of mathematical biology 10 (1980), S. 1-12 
    ISSN: 1432-1416
    Keywords: Mathematical model ; Granulocytopoiesis ; Leukapheresis ; Cyclophosphamide
    Source: Springer Online Journal Archives 1860-2000
    Topics: Biology , Mathematics
    Notes: Summary The granulocyte cell renewal system of the dog is represented by a mathematical model consisting of the following compartments: The pool of pluripotential stem cells, the committed stem cell pool, divided into a blood and a bone marrow compartment, the proliferation pool, the maturation pool, the reserve pool and the blood pool of functional granulocytes. This chain of compartments is described by a system of non-linear differential equations. Cell losses anyplace in the system provoke increased production in all pools containing cells capable to divide. A reduced number of granulocytes in the blood pool stimulates production of a “granulocyte releasing factor” which mobilizes a rising number of cells to transit from the marrow reserve into the blood pool. The model was simulated on a digital computer. It was found to be capable to reproduce the steady state conditions and it also fits the data of two distinct experimental perturbations of the system both equally well. These perturbations are a loss of proliferating cells as it occurs after the administration of cytostatic drugs and losses of functional cells as they are induced by leukapheresis experiments of differing leukapheresis rates.
    Type of Medium: Electronic Resource
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  • 2
    ISSN: 1432-0584
    Keywords: Kinetik der Granulozyten ; Kinetic of granulocytes
    Source: Springer Online Journal Archives 1860-2000
    Topics: Medicine
    Description / Table of Contents: Summary Two hematologically normal patients with glioblastoma and six patients with chronic lymphocytic leukemia received continuous3H-thymidine infusions for 3–10 days. In autoradiographs of blood cell smears taken for 25 days or more after the beginning of3H-thymidine administration the labeling index and the labeling intensity of granulocytes were determined. A sufficiently high labeling intensity, i. e. a sufficiently long autoradiographic exposure time was found to be critical for obtaining valid and reproducible results. On the basis of certain assumptions discussed in detail, complete labeling of cells with3H-thymidine followed by autoradiographic evaluation and mathematical analysis of the labeling patterns seems to be a suitable method for estimation of kinetic parameters of postmitotic granulocytes in vivo. The mean intramedullary maturation and storage time was observed to be 115 ± 7 h for neutrophils, 103 ± 4 h for eosinophils and 103 ± 11 h for basophils. The mean relative inflow rate into the blood (or relative turnover rate in the blood) was found to be 4.2 ± 0.4 %/h for neutrophils, 4.0 ± 0.4 %/h for eosinophils and 1.2 ± 0.3 %/h for basophils. The mean blood transit time (or blood sojourn time) was estimated to be 25 ± 2 h for neutrophils, 26 ± 3 h for eosinophils and 89 ± 21 h for basophils. Accordingly the half lifes (T 1/2) of granulocytes in the blood were 17.3 ± 1.4 h for neutrophils, 18.0 ± 2.1 foi eosinophils and 62 ± 15 h for basophils. Under the quasi steady state conditions of this study the kinetics of granulocytes in the present CLL patients appeared to be normal, despite a marked lymphocytic infiltration of the bone marrow. The apparent discrepancy between these findings and the data obtained with autotransfusion of DFP-labeled granulocytes is discussed.
    Notes: Zusammenfassung Zwei hämatologisch normale Patienten mit Glioblastoma multiforme und sechs Patienten mit chronischer lymphatischer Leukämie (CLL) erhielten3H-Thymidin-Infusionen von 3 bis 10 Tagen Dauer. In autoradiographierten Blutausstrichen wurden der Markierungsindex und die Markierungsintensität der Granulozyten bestimmt. Um optimale Markierungsverhältnisse zu erreichen, waren sehr lange autoradiographische Expositionszeiten erforderlich. Die mathematische Analyse der Markierungsindex-Kurven ermöglichte die Schätzung folgender kinetischer Parameter der postmitotischen Granulozyten: mittlere Reifungs- und Speicherungszeit im Knochenmark (115 ± 7 Std. für Neutrophile, 103 ± 4 Std. für Eosinophile und 103 ± 11 Std. für Basophile); mittlere relative Einstromrate ins Blut (4,2 ± 0,4%/Std. für Neutrophile, 4,0 ± 0,4%/Std. für Eosinophile und 1,2 ± 0,3%/Std. für Basophile); mittlere Blut-Transitzeit (25 ± 2 Std. für Neutrophile, 26 ± 3 Std. für Eosinophile und 89 ± 21 Std. für Basophile); mittlere Halbwertzeit im Blut (17,3 ± 1,4 Std. für Neutrophile, 18,0 ± 2,1 Std. für Eosinophile und 62 ± 15 Std. für Basophile). Unter den vorliegenden Bedingungen schien die Kinetik der Granulozyten bei den untersuchten CLL-Patienten trotz erheblicher lymphozytärer Infiltration des Knochenmarks normal zu sein. Der auffällige Unterschied der Bluthalbwertszeit für Neutrophile in dieser Studie und den früher publiziertem Werte aufgrund von Autotransfusionen DFP-markierter Granulozyten wird diskutiert.
    Type of Medium: Electronic Resource
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