| Stability analysis of a simplified yet complete model for chronic myelogenous leukemia. | |
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MedLine Citation:
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PMID: 20077027 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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We analyze the asymptotic behavior of a partial differential equation (PDE) model for hematopoiesis. This PDE model is derived from the original agent-based model formulated by Roeder (Nat. Med. 12(10):1181-1184, 2006), and it describes the progression of blood cell development from the stem cell to the terminally differentiated state.To conduct our analysis, we start with the PDE model of Kim et al. (J. Theor. Biol. 246(1):33-69, 2007), which coincides very well with the simulation results obtained by Roeder et al. We simplify the PDE model to make it amenable to analysis and justify our approximations using numerical simulations. An analysis of the simplified PDE model proves to exhibit very similar properties to those of the original agent-based model, even if for slightly different parameters. Hence, the simplified model is of value in understanding the dynamics of hematopoiesis and of chronic myelogenous leukemia, and it presents the advantage of having fewer parameters, which makes comparison with both experimental data and alternative models much easier. |
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Authors:
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Marie Doumic-Jauffret; Peter S Kim; Benoît Perthame |
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Publication Detail:
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Type: Comparative Study; Journal Article; Research Support, Non-U.S. Gov't; Research Support, U.S. Gov't, Non-P.H.S. Date: 2010-01-14 |
Journal Detail:
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Title: Bulletin of mathematical biology Volume: 72 ISSN: 1522-9602 ISO Abbreviation: Bull. Math. Biol. Publication Date: 2010 Oct |
Date Detail:
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Created Date: 2010-10-04 Completed Date: 2011-01-21 Revised Date: - |
Medline Journal Info:
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Nlm Unique ID: 0401404 Medline TA: Bull Math Biol Country: United States |
Other Details:
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Languages: eng Pagination: 1732-59 Citation Subset: IM |
Affiliation:
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INRIA Paris-Rocquencourt, BANG, BP105, 78153 LeChesnay Cedex, France. marie.doumic-jauffret@inria.fr |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Cell Growth Processes
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physiology Computer Simulation Humans Leukemia, Myelogenous, Chronic, BCR-ABL Positive / pathology* Models, Biological* Neoplastic Stem Cells / pathology* |
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