title: Analysis of cell kinetics using a cell division marker: mathematical modeling of experimental data.
abstract: 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 beta, cell cycle duration tau, apoptosis rate gamma, and loss rate micro 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 beta = 2.2 day(-1), tau = 0.3 day, gamma = 0.3 day(-1), and micro = 0.05 day(-1).
authors.affiliation: Département de Mathématiques et de Statistique and Centre de Recherches Mathématiques, Université de Montréal, Montréal, Québec H3C 3J7, Canada.
authors.forename: Samuel
authors.initials: S
authors.lastname: Bernard
authors.forename: Laurent
authors.initials: L
authors.lastname: Pujo-Menjouet
authors.forename: Michael C
authors.initials: MC
authors.lastname: Mackey
mesh_terms: D000375:Aging / Q000502:physiology*; D015415:Biomarkers / Q000097:blood*; D002452:Cell Count; D002453:Cell Cycle / Q000502:physiology; D002455:Cell Division / Q000502:physiology; D002478:Cells, Cultured; D003198:Computer Simulation; D005452:Fluoresceins; D007700:Kinetics; D008214:Lymphocytes / Q000166:cytology* / Q000502:physiology*; D008954:Models, Biological; D008955:Models, Cardiovascular; D011157:Population Dynamics; D013388:Succinimides
chemical_list: C087165:5-(6)-carboxyfluorescein diacetate succinimidyl ester; D015415:Biomarkers; D005452:Fluoresceins; D013388:Succinimides