Neiman, B. (2000) A mathematical model of chronic myelogenous leukemia. Masters thesis, University of Oxford.
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
|Deposited By:||Eprints Administrator|
|Deposited On:||03 Mar 2004|
|Last Modified:||20 Jul 2009 14:12|
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