Analysis of Cell Kinetics Using a Cell Division Marker: Mathematical Modeling of Experimental Data

We consider an age-maturity structured model arising from a blood cell proliferation problem. This model is “hybrid”, i.e., continuous in time and age but the maturity variable is discrete. This is due to the fact that we include the cell division marker carboxyfluorescein diacetate succinimidyl est...

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Bibliographic Details
Published in:Biophysical journal 2003-05, Vol.84 (5), p.3414-3424
Main Authors: Bernard, Samuel, Pujo-Menjouet, Laurent, Mackey, Michael C.
Format: Article
Language:English
Subjects:
Aging
Aging - physiology
Bioinformatics
Biological Markers
Biomarkers - blood
Cell Biophysics
Cell Count
Cell Cycle
Cell Cycle - physiology
Cell Division
Cell Division - physiology
Cells
Cells, Cultured
Computer Science
Computer Simulation
Dynamical Systems
Experiments
Fluoresceins
Kinetics
Life Sciences
Lymphocytes
Lymphocytes - cytology
Lymphocytes - physiology
Mathematics
Models, Biological
Models, Cardiovascular
Population Dynamics
Quantitative Methods
Succinimides
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Summary:We consider an age-maturity structured model arising from a blood cell proliferation problem. This model is “hybrid”, i.e., continuous in time and age but the maturity variable is discrete. This is due to the fact that we include the cell division marker carboxyfluorescein diacetate succinimidyl ester. We use our mathematical analysis in conjunction with experimental data taken from the division analysis of primitive murine bone marrow cells to characterize the maturation/proliferation process. Cell cycle parameters such as proliferative rate β, cell cycle duration τ, apoptosis rate γ, and loss rate μ can be evaluated from CarboxyFluorescein diacetate Succinimidyl Ester + cell tracking experiments. Our results indicate that after three days in vitro, primitive murine bone marrow cells have parameters β=2.2 day−1, τ=0.3 day, γ=0.3 day−1, and μ=0.05 day−1.
ISSN:0006-3495
1542-0086
DOI:10.1016/S0006-3495(03)70063-0