Analysis of a blood cell population model

Lynch, Stephen (2005) Analysis of a blood cell population model. International journal of bifurcation and chaos, 15 (7). pp. 2311-2316. ISSN 0218-1274

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Abstract

The discrete dynamics of a blood cell population model are investigated in terms of bistability, instability and chaos. For the first time, the nonlinear model of blood cell production and destruction is investigated with a feedback mechanism incorporated. Numerical simulations demonstrate that the population of blood cells is dependent upon the history of the system, and upon whether parameters (destruction and production rates) are increasing or decreasing. The system also exhibits complex dynamics, such as period-bubbling, and period-doubling and undoubling routes to and from chaos. Some clinical examples are cited in the paper.

Item Type:	Article
Peer-reviewed:	No
Date Deposited:	24 Mar 2010 14:12
Publisher:	World Scientific Publishing
Additional Information:	Full-text of this article is not available in this e-prints service. This article was originally published following peer-review in International Journal of Bifurcation and Chaos, published by and copyright World Scientific Publishing.
Divisions:	Faculties > Science and Engineering
URI:	https://e-space.mmu.ac.uk/id/eprint/94864
DOI:	https://doi.org/10.1142/S0218127405013186
ISSN	0218-1274

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