Mathematical understanding of the autologous stem cell transplantation


A simple mathematical model is provided for understanding the cell dynamics after autologous stem cell transplantation, concluding about the effectiveness of this therapeutic procedure for acute myeloid leukemia and suggesting some biological and clinical directions of further possible investigation.


Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania


mathematical model; medical application; dynamic system; numerical simulation; stem cell transplantation; acute myeloid leukemia.

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R. Precup, Mathematical understanding of the autologous stem cell transplantation, Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 10 (2012), 155-167.


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Annals of the Tiberiu Popoviciu Seminar of Functional Equations Approximation and Convexity

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[10] R. Precup, M.A. Serban and D. Trif, Asymptotic stability for a model of cellular dynamics after allogeneic bone marrow transplantation, submitted.
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