The Mathematical Institute, University of Oxford, Eprints Archive

A mathematical model of chronic myelogenous leukemia

Neiman, B. (2000) A mathematical model of chronic myelogenous leukemia. Masters thesis, University of Oxford.

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Abstract

Chronic Myelogenous Leukemia (CML) is one of the most common types of leukemia. It is characterized by a chronic, seemingly stable steady state, which gives rise to oscillatory instability in the hematapoietic stem cell count. There are also many cases of CML which involve oscillations about a steady state during the chronic period (called Periodic Chronic Myelogenous Leukemia). Though instabilities are found frequently in many biological systems, it is rather unusual for the stem cell count in a patient with leukemia to be nonmonotonic over time. As such, the instability in CML is of tremendous interest to mathematical biologists. A more clear understanding of the dynamics of this disease might not only help with the development of treatments or a cure to CML, but it might also be a useful aid in determining what causes instability in other oscillatory diseases such as Cyclical Neutropenia. This paper's aim is to create a mathematical model of CML which might aid us in understanding the mechanism by which the chronic phase of the disease becomes unstable and reaches the acute phase.

Item Type:Thesis (Masters)
Subjects:A - C > Biology and other natural sciences
Research Groups:Oxford Centre for Industrial and Applied Mathematics
Centre for Mathematical Biology
ID Code:13
Deposited By:Eprints Administrator
Deposited On:03 Mar 2004
Last Modified:20 Jul 2009 14:12

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