Bulletin of Mathematical Biology

, Volume 73, Issue 1, pp 116–150 | Cite as

Estimation of Cell Proliferation Dynamics Using CFSE Data

  • H. T. BanksEmail author
  • Karyn L. Sutton
  • W. Clayton Thompson
  • Gennady Bocharov
  • Dirk Roose
  • Tim Schenkel
  • Andreas Meyerhans
Original Article


Advances in fluorescent labeling of cells as measured by flow cytometry have allowed for quantitative studies of proliferating populations of cells. The investigations (Luzyanina et al. in J. Math. Biol. 54:57–89, 2007; J. Math. Biol., 2009; Theor. Biol. Med. Model. 4:1–26, 2007) contain a mathematical model with fluorescence intensity as a structure variable to describe the evolution in time of proliferating cells labeled by carboxyfluorescein succinimidyl ester (CFSE). Here, this model and several extensions/modifications are discussed. Suggestions for improvements are presented and analyzed with respect to statistical significance for better agreement between model solutions and experimental data. These investigations suggest that the new decay/label loss and time dependent effective proliferation and death rates do indeed provide improved fits of the model to data. Statistical models for the observed variability/noise in the data are discussed with implications for uncertainty quantification. The resulting new cell dynamics model should prove useful in proliferation assay tracking and modeling, with numerous applications in the biomedical sciences.


Cell proliferation CFSE Label structured population dynamics Partial differential equations Inverse problems 


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Copyright information

© Society for Mathematical Biology 2010

Authors and Affiliations

  • H. T. Banks
    • 1
    Email author
  • Karyn L. Sutton
    • 1
  • W. Clayton Thompson
    • 1
  • Gennady Bocharov
    • 2
  • Dirk Roose
    • 3
  • Tim Schenkel
    • 4
  • Andreas Meyerhans
    • 5
  1. 1.Center for Research in Scientific Computation, Center for Quantitative Science in BiomedicineNorth Carolina State UniversityRaleighUSA
  2. 2.Institute of Numerical MathematicsRASMoscowRussia
  3. 3.Department of Computer ScienceKatholieke UniversiteitLuevenBelgium
  4. 4.Department of VirologyUniversity of the SaarlandHomburgGermany
  5. 5.Department of Experimental and Health SciencesUniversitat Pompeu FabraBarcelonaSpain

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