A mathematical approach to cell dynamics before and after allogeneic bone marrow transplantation

Abstract

We shortly survey our recent contributions for a basic theoretical mathematical understanding of cell dynamics in acute leukemia, before and after allogeneic bone marrow transplantation. Inspired by Dingli-Michor’s approach, our theoretical models are given in terms of two-and three dimensional ordinary differential systems whose parameters take into account essential biological properties, processes and interactions, and are involved in the characterization of normal or abnormal hematopoietic status, in the description of asymptotically stable steady-states and their basins of attraction and of therapeutic pre-and post-transplant strategies.

Authors

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

Damian Trif
Department of Applied Mathematics, University ”Babes–Bolyai” Cluj, Romania

Marcel-Adrian Serban
Department of Applied Mathematics, University ”Babes–Bolyai” Cluj, Romania

Andrei Cucuianu
Department of Hematology, University of Medicine and Pharmacy ”Iuliu Hat¸ieganu” Cluj, Romania

Keywords

Dynamic system; Mathematical modeling; Numerical simulation;  Hematopoiesis; Acute leukemia; Stem cell transplantation; Therapy.

Paper coordinates

R. Precup, D. Trif, M.-A. Serban, A. Cucuianu, A mathematical approach to cell dynamics before and after allogeneic bone  marrow transplantation, Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity 8 (2010),  167-175.

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Journal

Ann. Tiberiu Popoviciu Semin. Funct. Equ. Approx. Convexity

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