Izvorni znanstveni članak
https://doi.org/10.21857/y6zolb6gzm
Mathematical analysis of a model for chronic myeloid leukemia
Fatima Zohra Elouchdi Derrar
; Department of Mathematics, Tlemcen University, BP 119, 13000 Tlemcen, Algeria
Djamila Benmerzouk
; Department of Mathematics, Tlemcen University, BP 119, 13000 Tlemcen, Algeria
Bedr'Eddine Ainesba
; Bordeaux Mathematics Institute, UMR CNRS 52 51, Case 36, Université Victor Segalen Bordeaux 2,3 ter place de la victoire, F 33076 Bordeaux Cedex, France
Sažetak
In this paper, a mathematical analysis of a model describing the evolution of chronic myeloid leukemic with effect of growth factors is considered. The corresponding dynamics are represented by a system of ordinary differential equations of dimension 5. This system described the interactions between hematopoietic stem cells (H.S.C), hematopoietic mature cells (M.C), cancer hematopoietic stem cells, cancer hematopoietic mature cells and the associated growth factor concentration. Our research is, henceforth, carried out on the existence and the uniqueness of the solution of this system. The next substantive concern will be a discussion on the local and global stability of the corresponding steady states. Three scenarios, however, corresponding to different actions of hematopoiesis on stem cells (differentiate cells or both cells) are considered.
Ključne riječi
Myeloid chronic leukemia model; cancer modeling; existence of solutions; global stability analysis; Lyapunov stability
Hrčak ID:
283956
URI
Datum izdavanja:
27.9.2022.
Posjeta: 431 *