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* Département de Mathématiques et de Statistique and Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec H3C 3J7, Canada, and the Centre for Nonlinear Dynamics, McGill University; and
Departments of Physiology, Physics and Mathematics, and Centre for Nonlinear Dynamics, McGill University, Montréal, Québec, Canada H3G 1Y6
Correspondence: Address reprint requests to Michael C. Mackey, Dept. of Physiology, Physics and Mathematics, and Centre for Nonlinear Dynamics, McGill University, 3655 Promenade Sir William Osler, Montréal, Québec H3G 1Y6 Canada. E-mail: mackey{at}cnd.mcgill.ca.
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 ß, cell cycle duration
, apoptosis rate
, 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 ß = 2.2 day-1,
= 0.3 day,
= 0.3 day-1, and µ = 0.05 day-1.
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