Stochastic modeling of stem-cell dynamics with control

Mathematical Biosciences

Volumn 240, Issue 2, 2012, Pages 231-240

  Sun, Zheng ^a   Komarova, Natalia L ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Control loops; Differentiation; Feedback loops; Mathematical modeling; Proliferation control; Stem cells

Indexed keywords

CELL DYNAMICS; CELL POPULATIONS; CONTROL LAWS; CONTROL LOOP; DAUGHTER CELLS; EXTERNAL PERTURBATIONS; FEED-BACK LOOP; HILL COEFFICIENT; LINEAR CONTROLS; NEGATIVE CONTROL; NON LINEAR CONTROL; POPULATION LEVELS; PROLIFERATION CONTROLS; STANDARD DEVIATION; STEADY STATE; SYSTEM ROBUSTNESS; TISSUE DEVELOPMENT; TUNABLE PARAMETER; ULTRASENSITIVE;

CELL CULTURE; CELL PROLIFERATION; DIFFERENTIATION (CALCULUS); DYNAMICS; INFORMATION DISSEMINATION; LINEAR CONTROL SYSTEMS; MATHEMATICAL MODELS; POPULATION STATISTICS; STEM CELLS; TISSUE;

STOCHASTIC CONTROL SYSTEMS;

HOMEOSTASIS; NUMERICAL MODEL; STEADY-STATE EQUILIBRIUM; STOCHASTICITY;

ARTICLE; CELL DIFFERENTIATION; CELL POPULATION; CELL PROLIFERATION; CELL SPECIFICITY; CONTROL SYSTEM; DAUGHTER CELL; NONLINEAR SYSTEM; STEADY STATE; STEM CELL; STOCHASTIC MODEL;

CELL DIFFERENTIATION; MODELS, BIOLOGICAL; NUMERICAL ANALYSIS, COMPUTER-ASSISTED; STEM CELLS; STOCHASTIC PROCESSES;

EID: 84867885891     PISSN: 00255564     EISSN: 18793134     Source Type: Journal    
DOI: 10.1016/j.mbs.2012.08.004     Document Type: Article

References (56)

1. Adimy M., Crauste F., Ruan S. Bulletin of Mathematical Biology 2006, 68:2321.
2. Agur Z., Daniel Y., Ginosar Y. Journal of Mathematical Biology 2002, 44(1):79.
3. Binetruy B., Heasley L., Bost F., Caron L., Aouadi M. Stem Cells 2007, 25:1090.
4. Boman B.M., Fields J.Z., Cavanaugh K.L., Guetter A., Runquist O.A. Cancer Research 2008, 68:3304.
5. Chen M., Li D., Krebs E., Cooper J. Molecular and Cellular Biology 1997, 17(4):1904.
6. Close J., Gumuscu B., Reh T. Development 2005, 132(13):3015.
7. Colijn C., Mackey M.C. Journal of Theoretical Biology 2005, 237:117.
8. Daluiski A., Engstrand T., Bahamonde M., Gamer L., Agius E., Stevenson S., Cox K., Rosen V., Lyons K. Nature Genetics 2001, 27(1):84.
9. Davey R., Onishi K., Mahdavi A., Zandstra P. The FASEB Journal 2007, 21(9):2020.
10. Discher D.E., Mooney D.J., Zandstra P.W. Science 2009, 324:1673.
11. d'Onofrio A., Tomlinson I.P. Journal of Theoretical Biology 2007, 244:367.
12. Doyle J., Csete M. Nature 2007, 446(7138):860.
13. Endo D., Maku-Uchi M., Kojima I. Endocrine Journal 2006, 53(1):73.
14. Ferrell J.E. Bioessays 1999, 21:866.
15. Ferrell J., Bhatt R. Journal of Biological Chemistry 1997, 272(30):19008.
16. Gan Q., Yoshida T., McDonald O.G., Owens G.K. Stem Cells 2007, 25:2.
17. Glauche I., Cross M., Loeffler M., Roeder I. Stem Cells 2007, 25:1791.
18. Goldbeter A., Koshland D.E. Proceedings of the National Academy of Sciences USA 1981, 78:6840.
19. Hardy K., Stark J. Apoptosis 2002, 7:373.
20. Iwasa Y., Michor F., Komarova N., Nowak M. Journal of Theoretical Biology 2005, 233(1):15.
21. Johnston M.D., Edwards C.M., Bodmer W.F., Maini P.K., Chapman S.J. Proceedings of the National Academy of Sciences USA 2007, 104:4008.
22. Khammash M. BioTechniques 2008, 44:323.
23. Kim S.Y., Ferrell J.E. Cell 2007, 128:1133.
24. Komarova N. Bulletin of Mathematical Biology 2006, 68(7):1573.
25. Komarova N., Sengupta A., Nowak M. Journal of Theoretical Biology 2003, 223(4):433.
26. Lander A. Cell 2011, 144(6):955.
27. Lander A.D., Gokoffski K.K., Wan F.Y., Nie Q., Calof A.L. PLoS Biology 2009, 7:e15.
28. Lee C.H., Kim K.H., Kim P. Journal of Chemical Physics 2009, 130:134107.
29. Lieberman E., Hauert C., Nowak M. Nature 2005, 433(7023):312.
30. Lloyd A.L. Theoretical Population Biology 2004, 65:49.
31. Lo W.C., Chou C.S., Gokoffski K.K., Wan F.Y., Lander A.D., Calof A.L., Nie Q. Mathematical Biosciences and Engineering 2009, 6:59.
32. Loeffler M., Roeder I. Cells Tissues Organs (Print) 2002, 171:8.
33. MacKey M.C. Cell Proliferation 2001, 34:71.
34. Mangel M., Bonsall M.B. PLoS ONE 2008, 3:e1591.
35. Marshall E., Lord B. International Review of Cytology 1996, 167:185.
36. Meinke M., Bishop J., Edstrom R. Proceedings of the National Academy of Sciences 1986, 83(9):2865.
37. Moran P.A.P. The Statistical Process of Evolutionary Theory 1962, Clarendon Press, Oxford.
38. Murray J. Mathematical Biology I: An Introduction 2002, Springer, New York.
39. Nasell I. Theoretical Population Biology 2003, 63:159.
40. Novak B., Tyson J.J. Biochemical Society Transactions 2003, 31:1526.
41. Platel J., Dave K., Bordey A. The Journal of Physiology 2008, 586(16):3739.
42. Plikus M., Mayer J., de La Cruz D., Baker R., Maini P., Maxson R., Chuong C. Nature 2008, 451(7176):340.
43. Richardson J. Symposium on Applied Mathematics 1964, 16:290.
44. Singh A., Hespanha J.P. Bulletin of Mathematical Biology 2007, 69:1909.
45. Socha L. Linearization Methods for Stochastic Dynamic Systems 2008, Springer, Berlin.
46. Z. Sun, N. Komarova, submitted for publication.
47. Thalhauser C., Lowengrub J., Stupack D., Komarova N. Selection in spatial stochastic models of cancer: migration as a key modulator of fitness. Biology Direct 2010, 5:1-17.
48. Tomlinson I.P., Bodmer W.F. Proceedings of the National Academy of Sciences USA 1995, 92:11130.
49. Tothova Z., Gilliland D.G. Cell Stem Cell 2007, 1:140.
50. Traulsen A., Claussen J., Hauert C. Physical Review Letters 2005, 95(23):238701.
51. Traulsen A., Pacheco J., Dingli D. Stem Cells 2007, 25(12):3081.
52. Tsankov A.M., Brown C.R., Yu M.C., Win M.Z., Silver P.A., Casolari J.M. Molecular Systems Biology 2006, 2:65.
53. Tyson J.J., Chen K.C., Novak B. Current Opinion in Cell Biology 2003, 15:221.
54. Wu H., Ivkovic S., Murray R., Jaramillo S., Lyons K., Johnson J., Calof A. Neuron 2003, 37(2):197.
55. Yamasaki K., Toriu N., Hanakawa Y., Shirakata Y., Sayama K., Takayanagi A., Ohtsubo M., Gamou S., Shimizu N., Fujii M., et al. Journal of Investigative Dermatology 2003, 120(6):1030.
56. Yatabe Y., Tavare S., Shibata D. Proceedings of the National Academy of Sciences USA 2001, 98:10839.