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A model of oscillatory blood cell counts in chronic myelogenous leukaemia.

Drobnjak, I; Fowler, AC; (2011) A model of oscillatory blood cell counts in chronic myelogenous leukaemia. Bull Math Biol , 73 (12) 2983 - 3007. 10.1007/s11538-011-9656-2.

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Abstract

In certain blood diseases, oscillations are found in blood cell counts. Particularly, such oscillations are sometimes found in chronic myelogenous leukaemia, and then occur in all the derived blood cell types: red blood cells, white blood cells, and platelets. It has been suggested that such oscillations arise because of an instability in the pluri-potential stem cell population, associated with its regulatory control system. In this paper, we consider how such oscillations can arise in a model of competition between normal (S) and genetically altered abnormal (A) stem cells, as the latter population grows at the expense of the former. We use an analytic model of long period oscillations to describe regions of oscillatory behaviour in the S-A phase plane, and give parametric criteria to describe when such oscillations will occur. We also describe a mechanism which can explain dynamically how the transformation from chronic phase to acute phase and blast crisis can occur.

Type:Article
Title:A model of oscillatory blood cell counts in chronic myelogenous leukaemia.
Location:United States
DOI:10.1007/s11538-011-9656-2
Language:English
Keywords:Biological Clocks, Blast Crisis, Blood Cell Count, Humans, Leukemia, Myelogenous, Chronic, BCR-ABL Positive, Leukemia, Myeloid, Accelerated Phase, Leukemia, Myeloid, Acute, Leukemia, Myeloid, Chronic-Phase, Mathematical Concepts, Models, Biological, Time Factors
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Computer Science

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