Zusammenfassung
In diesem Beitrag wird ein stochastisches Modell für die Granulopoese vorgestellt. Dieses Modell läßt in einer etwas erweiterten Form dann auch die gleichzeitige Betrachtung einer normalen und einer malignen Teilpopulation und der daraus entstehenden Kompetitionsphänomene zu. Dabei werden aber die wahrscheinlichkeitstheoretischen Aspekte dieses Modells bewuBt vernachlassigt, da schon eine ausfüihrliche exakte Definition als kontrollierter stochastischer Prozess den Rahmen dieses Vortrages sprengen würde.
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Literatur
Blumenson, L.E.: A comprehensive modeling procedure for the human granulopoietic system: over-all view and summary of data; Blood 42, 303–313, (1973)
Blumenson, L.E.: A comprehensive modeling procedure for the human granulopoietic system: detailed description and application to cancer chemotherapy; Math. Biosci. 26, 217–239, (1975)
Clarkson, B., Rubinow, S.I.: Growth kinetics in human leukemia. In: Drewinko, B., Humphrey, R.M. (eds.): Growth Kinetics and Biochemical Regulation of Normal and Malignant Cells; Williams and Wilkins, Baltimore, 591–628, (1977)
Clarkson, B., Ohkita, T., Ota, K., Pried, J.: Studies of cellular proliferation in human leukemia. I. Estimation of growth rates of leukemic and normal hematopoietic cells in two adults with acute leukemia given single injections of tritiated thymidine; J. Clin. Invest. 4_6, 506–529, (1973)
Cline, M.J.: The White Cell; Harvard University Press, London, (1975)
van den Engh, G.J.: Regulation of granulocyte and monocyte formation with special reference to myeloid leukemia; Leukemia Res. 1, 157–160, (1977)
Iosifescu, M., Tautu, P.: Stochastic Processes and Applications in Biology and Medicine. Vol•II: Models; Springer, Berlin, (1973)
King-Smith, E.A., Morly, A.: Computer simulation of granulopoiesis: normal and impaired granulopoiesis; Blood _36, 254–262, (1970)
Lajtha, L.G., Lord, B.I., Mori, J., Wright, E.: Growth regulations in normal and leukaemic haemopoietic stem cells; Leukemia Res. 1, 153–156, (1977)
Maurer, A.M., Evert, C.F., Lampkin, B.C.,McWilliams, N.B.: Cell kinetics in human acute lymphoblastic leukemia: computer simulation with discrete modeling techniques; Blood 41, 141–154, (1973)
Necas, E., Neuwirt, J.: Proliferation rate of haemopoietic stem cells after damage bv several cytostatic agents; Cell Tissue Kinet. 9, 479–487, (1976)
Rittgen, W.: Zellerneuerungssysteme. In: Schneider, B., Ranft, U. (Hrsg.): Simulationsmethoden in der Medizin und Biologie; Reihe Medizinische Informatik und Statistik 8, Springer, Berlin, (im Druck)
Rittgen, W., Tautu, P.: Branching models for the cell cycle. In: Berger, J., Bühler, W., Repges, P., Tautu, P. (eds.): Mathematical Models in Medicine; Reihe Lecture Notes in Biomathematics 11, Spinger, Berlin, 109–126, (1976)
Rubinow, S.I.: Human leukemia: kinetic aspects and speculations concerning its cellular origins. In: Wittemore, A. (ed.): Environmental Health, Quantitative Methods SIAM, Philadelphia, 135–148, (1977)
Rubinow, S.I., Lebowitz, J.L.: A mathematical model of neutrophil production and control in normal man; J. Math. Biol. 1, 187–225, (1975)
Rubinow, S.I., Lebowitz, J.L.: A mathematical model of acute mye-loblastic leukemic state in man; Biophysical J. 16, 897–910, (1976)
Rubinow, S.I., Lebowitz, J.L.: A mathematical model of the chemo-therapeutic treatment of acute myeloblastic leukemia; Biophysical J. 16, 1257–1271, (1976)
Rubinow, S.I, Lebowitz, J.L., Sapse, A.-M.: Parametrization of in vivo leukemic cell populations; Biophysical J. 11, 175–188, (1971)
Shackney, S.E.: A computer model for tumor growth and chemotherapy, and its application to L1210 leukemia treated with cytosine arabinoside; Cancer Chemother. Rep. 54, 399–429, (1970)
Wheldon, T.E., Kirk, J., Finlay, H.M.: Cyclical granulopoiesis in chronic granulocytic leukemia: a simulation study; Blood 43, 379–387, (1974)
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Rittgen, W. (1980). Leukopoese: Ein Stochastisches Modell für Wachstum, Erkrankung und Behandlung. In: Anderson, J., et al. Modelle in der Medizin. Medizinische Informatik und Statistik, vol 22. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81512-6_30
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