|
Biomaterials and Biomedical Engineering Volume 5, Number 1, September 2020 , pages 51-64 DOI: https://doi.org/10.12989/bme.2020.5.1.051 |
||
|
Analysis of the hematopoiesis process in mammalian bone using homotopy perturbation method |
||
Theddeus T. Akano, Ephraim O. Nwoye and Segun Adeyemi
|
||
| Abstract | ||
| In this study, the mathematical model that describes blood cell development in the bone marrow (i.e., hematopoiesis) has been studied via the Homotopy Perturbation Method (HPM). The results from the present work compared very well with the numerical solutions from published literature. This work has shown that the HPM is viable for solving delay differential equations born from hematopoiesis problem. The influence of the proliferating cells loss rate, time delay rate and the phase re-entry rate on the population densities of both the proliferating and resting cells were also determined through the underlined procedure. | ||
| Key Words | ||
| blood cells; bone marrow; hematopoiesis; homotopy perturbation method; delay differential equations | ||
| Address | ||
| Theddeus T. Akano and Segun Adeyemi: Department of Systems Engineering, University of Lagos, Akoka, 101017, Lagos, Nigeria Ephraim O. Nwoye: Department of Biomedical Engineering, University of Lagos, Akoka, 101017, Lagos, Nigeria | ||
