Frontiers in Stem Cell and Regenerative Medicine Research

Frontiers in Stem Cell and Regenerative Medicine Research

Volume: 8

Stem cell and regenerative medicine research is a hot area of research which promises to change the face of medicine as it will be practiced in the years to come. Challenges in the 21st century to ...
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Theoretical Models of Hematopoietic Cell Dynamics Related to Bone Marrow Transplantation

Pp. 202-241 (40)

Radu Precup, Delia Dima, Ciprian Tomuleasa, Marcel-Adrian Serban and Lorand-Gabriel Parajdi

Abstract

This review article presents some mathematical models of hematopoietic cell dynamics related to bone marrow transplantation. Both allogeneic and autologous stem cell transplantations are considered. The models are expressed by threedimensional systems of ordinary differential equations whose variables stand for the abundances of healthy, leukemic and infused cells. Model parameters quantify the cellular processes of growth, cell death and sensibility to microenvironment, and cellcell interactions such as anti-host, anti-cancer and anti-graft effects. Numerical simulations and stability analysis of system equilibria are performed in order to conclude about effectiveness of transplantation procedures. In the case of allogeneic transplantation, the role of initial cell concentrations is highlighted and several therapeutic scenarios for correction of bad post-transplant evolution are suggested. The exposition is mainly based on authors' papers [3,72,75,78-80].

Keywords:

Dynamic system, Hematopoiesis, Hematopoietic stem cells, Mathematical model, Myeloid leukemia, Numerical simulation, Stability, Stem cell transplantation.

Affiliation:

Department of Mathematics, Babeş–Bolyai University, Cluj-Napoca, Romania.