A planning algorithm for correction therapies after allogeneic stem cell transplantation


In this paper we continue the investigation of a basic mathematical model describing the dynamics of three cell lines after allogeneic stem cell transplantation: normal host cells, leukemic host cells and donor cells, whose evolution ultimately lead either to the normal hematopoietic state achieved by the expansion of the donor cells and the elimination of the host cells, or to the leukemic hematopoietic state characterized by the proliferation of the cancer line and the suppression of the other cell lines. A theoretical basis for the control of post-transplant evolution is provided. We describe several scenarios of change of system parameters by which a bad post-transplant evolution can be corrected and turned into a good one and we propose therapy planning algorithms for guiding the correction treatment.


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

Marcel-Adrian Şerban
Department of Mathematics, University “Babeş-Bolyai”, Cluj, Romania

Damian Trif
Department of Mathematics, University “Babeş-Bolyai”, Cluj, Romania

Andrei Cucuian
Department of Hematology, University of Medicine and Pharmacy “Iuliu Haţieganu”, Cluj, Romania


Mathematical modeling; Dynamic system; Numerical simulation; Algorithm; Stem cell transplantation; Acute myeloid leukemia.

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R. Precup, M.-A. Șerban, D. Trif, A. Cucuianu, A planning algorithm for correction therapies after allogeneic stem cell transplantation, J. Math. Model. Algor. 11 (2012) no. 3, 309-323, https://doi.org/10.1007/s10852-012-9187-3



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Journal of Mathematical Modelling and Algorithms

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