Multi-type branching models to describe cell differentiation programs

Journal of Theoretical Biology

Volumn 277, Issue 1, 2011, Pages 7-18

  Nordon, Robert E ^a   Ko, Kap Hyoun ^a   Odell, Ross ^a   Schroeder, Timm ^b  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b INSTITUTE OF EPIDEMIOLOGY   (Germany)

Author keywords

Division tracking; Live cell imaging; Multi type branching processes

Indexed keywords

CD34 ANTIGEN;

IMAGING METHOD; NUMERICAL MODEL; PHENOTYPE; PROBABILITY;

APOPTOSIS; ARTICLE; BULK CULTURE; CELL CULTURE; CELL CYCLE REGULATION; CELL CYCLE S PHASE; CELL DIFFERENTIATION; CELL DIVISION; CELL GENERATION TIME; CELL TYPE; CELLS AND CELL COMPONENTS; COLONY FORMING UNIT GM; DOWN REGULATION; INHERITANCE; PHENOTYPE; PRIORITY JOURNAL; SMITH MARTIN MODEL; UMBILICAL CORD BLOOD;

ANIMALS; ANTIGENS, CD34; CELL DIFFERENTIATION; CELL PROLIFERATION; CLONE CELLS; COMPUTER SIMULATION; CYTOKINES; FETAL BLOOD; HUMANS; MICE; MODELS, BIOLOGICAL; PHENOTYPE; TIME FACTORS;

EID: 79952336482     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2011.02.006     Document Type: Article

References (32)

1. Alexandersson M. On the existence of the stable birth-type distribution in a general branching process cell cycle model with unequal cell division. Journal of Applied Probability 2001, 38:685-695.
2. Abkowitz J.L., Catlin S.N., Guttorp P. Evidence that hematopoiesis may be a stochastic process in vivo. Nature Medicine 1996, 2(2):190-197.
3. Abkowitz J.L., et al. Evidence for the maintenance of hematopoiesis in a large animal by the sequential activation of stem-cell clones. Proceedings of the National Academy of Sciences 1990, 87(22):9062-9066.
4. Bremaud P. Markov Chains, Gibbs fields, Monte Carlo simulation and queues. Text in Applied Mathematics 1999, Springer, New York, 444 pp. J.E. Marsden, L. Sirovich, M. Golubitsky, W. Jager (Eds.).
5. Case J., et al. Characterization of cytokine interactions by flow cytometry and factorial analysis. Cytometry 2001, 43:69-81.
6. Deenick E.K., Gett A.V., Hodgkin P.D. Stochastic model of T cell proliferation: a calculus revealing IL-2 regulation of precursor frequencies, cell cycle time, and survival. The Journal of Immunology 2003, 170(10):4963-4972.
7. Deenick E.K., Hasbold J., Hodgkin P.D. Switching to IgG3, IgG2b, and IgA is division linked and independent, revealing a stochastic framework for describing differentiation. The Journal of Immunology 1999, 163(9):4707-4714.
8. De Boer R.J., et al. Estimating lymphocyte division and death rates from CFSE data. Bulletin of Mathematical Biology 2006, 68(5):1011-1031.
9. Duffy K., Subramanian V. On the impact of correlation between collaterally consanguineous cells on lymphocyte population dynamics. Journal of Mathematical Biology 2009, 59(2):255-285.
10. Eilken H.M., Nishikawa S., Schroeder T. Continuous single-cell imaging of blood generation from haemogenic endothelium. Nature 2009, 457(7231):896-900.
11. Ganusov V.V., Milutinovic D., De Boer R.J. IL-2 regulates expansion of CD4(+) T cell populations by affecting cell death: insights from modeling CFSE data. Journal of Immunology 2007, 179(2):950-957.
12. Harris T.E. The Theory of Branching Processes 1963, Dover Publications, New York, 224 pp. 1st ed.
13. Hawkins E.D., et al. A single-cell pedigree analysis of alternative stochastic lymphocyte fates. Proceedings of the National Academy of Sciences of the United States of America 2009, 106(32):13457-13462.
14. Jagers P. General branching processes as Markov fields. Stochastic Processes and their Applications 1989, 32(2):183-212.
15. Jagers P. Stochastic models for cell kinetics. Bulletin of Mathematical Biology 1983, 45(4):507-519.
16. Ko K., Odell R., Nordon R.E. Analysis of cell differentiation by division tracking cytometry. Cytometry 2007, 71a:773-782.
17. Kimmel M., Axelrod D.E. Appendix B. Probability distributions for the Bellman-Harris process. Branching Processes in Biology 2002, 231. Springer, New York. S.S. Antman, L. Sirovich, J.E. Marsden, S. Wiggins (Eds.).
18. Lee H.Y., Perelson A.S. Modeling T cell proliferation and death in vitro based on labeling data: generalizations of the Smith-Martin cell cycle model. Bulletin of Mathematical Biology 2008, 70(1):21-44.
19. León K., Faro J., Carneiro J. A general mathematical framework to model generation structure in a population of asynchronously dividing cells. Journal of Theoretical Biology 2004, 229(4):455-476.
20. Lee H.Y., et al. Interpreting CFSE obtained division histories of B cells in vitro with Smith-Martin and cyton type models. Bulletin of Mathematical Biology 2009, 71(7):1649-1670.
21. McQuarrie D.A. Kinetics of small systems. I. Journal of Chemical Physics 1962, 38(2):433-437.
22. Metcalf D. Lineage commitment and maturation in hematopoietic cells: the case for extrinsic regulation. Blood 1998, 92(2):345-347. discussion 352.
23. Metcalf D. Hematopoietic cytokines. Blood 2008, 111(2):485-491.
24. Mayani H., Dragowska W., Lansdorp P.M. Lineage commitment in human hemopoiesis involves asymmetric cell division of multipotent progenitors and does not appear to be influenced by cytokines. Journal of Cellular Physiology 1993, 157(3):579-586.
25. Nordon R.E., Ginsberg S.S., Eaves C.J. High-resolution cell division tracking demonstrates the FLt3-ligand-dependence of human marrow CD34+CD38- cell production in vitro. British Journal of Haematology 1997, 98(3):528-539.
26. Nordon R.E., et al. Analysis of growth kinetics by division tracking. Immunology & Cell Biology 1999, 77(6):523-529.
27. Rieger M.A., et al. Hematopoietic cytokines can instruct lineage choice. Science 2009, 325(5937):217-218.
28. Stengel K.R., et al. Retinoblastoma/p107/p130 pocket proteins: protein dynamics and interactions with target gene promoters. Journal of Biological Chemistry 2009, 284(29):19265-19271.
29. Smith J.A., Martin L. Do cells cycle?. Proceedings of the National Academy of Sciences of the United States of America 1973, 70(4):1263-1267.
30. Till J.E., McCulloch E.A., Siminovitch L. A stochastic model of stem cell proliferation based on the growth of spleen colony-forming cells. Proceedings of the National Academy of Sciences of the United States of America 1964, 51:29-36.
31. Wellard C., et al. The effect of correlations on the population dynamics of lymphocytes. Journal of Theoretical Biology 2010, 264(2):443-449.
32. Zhang X.W., et al. Cell cycle distribution of primitive haematopoietic cells stimulated in vitro and in vivo. Cell Proliferation 2001, 34(5):321-330.