Effects of stochasticity in models of the cell cycle: From quantized cycle times to noise-induced oscillations

Journal of Theoretical Biology

Volumn 228, Issue 3, 2004, Pages 293-301

  Steuer, Ralf ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Cell cycle; Coherence resonance; Fission yeast; Stochastic modeling

Indexed keywords

BIOCHEMICAL COMPOSITION;

ARTICLE; CELL CYCLE; CELL CYCLE G2 PHASE; CELL DIVISION; CELL MUTANT; COMPARATIVE STUDY; DYNAMICS; EXPERIMENT; GENE EXPRESSION; GENETIC ANALYSIS; MOLECULAR MECHANICS; NOISE; NONHUMAN; OSCILLATION; PRIORITY JOURNAL; QUALITATIVE ANALYSIS; STOCHASTIC MODEL; TIME; YEAST;

BIOLOGICAL CLOCKS; CELL CYCLE; MODELS, BIOLOGICAL; SCHIZOSACCHAROMYCES; STOCHASTIC PROCESSES;

EUKARYOTA; SCHIZOSACCHAROMYCES POMBE;

EID: 2342508415     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jtbi.2004.01.012     Document Type: Article

References (37)

1. Alt W., Tyson J.J. A stochastic model of cell division (with application to fission yeast). Math. Biosci. 84(2):1987;159-187
2. Barkai N., Leibler S. Circadian clocks limited by noise. Nature. 403:1999;267-268
3. Blake W.J., Kærn M., Cantor C.R., Collins J.J. Noise in eukaryotic gene expression. Nature. 422:2003;633-637
4. Borisuk M.T., Tyson J.J. Bifurcation analysis of a model of mitotic control in frog eggs. J. Theor. Biol. 195:1998;69-85. article No. jt980781
5. García-Ojalvo J., Sancho J.M. Noise in Spatially Extended Systems. 1999;Springer, New York
6. Goldbeter A. A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase. Proc. Natl Acad. Sci. USA. 88:1991;9107-9111
7. Gonze D., Halloy J., Goldbeter A. Robustness of circadian rhythms with respect to molecular noise. Proc. Natl Acad. Sci. USA. 99(2):2002;673-678
8. Hasty J., Pradines J., Dolnik M., Collins J.J. Noise-based switches and amplifiers for gene expression. Proc. Natl Acad. Sci. USA. 97(5):2000;2075-2080
9. Keasling J.D., Kuo H., Vahanian G. A monte carlo simulation of the Escherichia coli cell cycle. J. Theor. Biol. 176:1995;411-430
10. Kepler T.B., Elston T.C. Stochasticity in transcriptional regulation. origins, consequences, and mathematical representations Biophys. J. 81:2001;3116-3136
11. Lindner, B., 2001. Coherence and stochastic resonance in nonlinear dynamical systems. Ph.D. Thesis, Humboldt-Universitaet zu Berlin.
12. McAdams H.H., Arkin A. It's a noisy business. genetic regulation at the nanomolecular scale Trends Gene. 15(2):1999;65-69
13. Mendenhall M.D., Hodge A.E. Regulation of cdc28 cyclin-dependent protein kinase activity during the cell cycle of the yeast Saccharomyces cerevisiae. Microbiol. Mol. Biol. Rev. 62(4):1998;1191-1243
14. Novak B., Tyson J.J. Modeling the cell division cycle. M-phase trigger, oscillations, and size control J. Theor. Biol. 165:1993;101-134
15. Novak B., Tyson J.J. Modeling the control of DNA replication in fission yeast. Proc. Natl Acad. Sci. USA. 94:1997;9147-9152
16. Novák B., Tóth A., Csikász-Nagy A., Gyorffy B., Tyson J.J., Nasmyth K. Finishing the cell cycle. J. Theor. Biol. 199:1999;223-233
17. Novak B., Pataki Z., Ciliberto A., Tyson J.J. Mathematical model of the cell division cycle of fission yeast. CHAOS. 11(1):2001;277-286
18. Nurse P. A long twentieth century of the cell cycle and beyond. Cell. 100:2000;71-78
19. Nurse P., Masui Y., Hartwell L. Understanding the cell cycle. Nat. Med. 4:1998;1103-1106
20. Ozbudak E.M., Thattai M., Kurtser I., Grossman A.A., van Oudenaarden A. Regulation of noise in the expression of a single gene. Nat. Gene. 31:2002;69-73
21. Pikovsky A.S., Kurths J. Coherence resonance in a noise-driven excitable system. Phys. Rev. Lett. 78(5):1997;775-778
22. Rao C.V., Wolf D.M., Arkin A.P. Control, exploitation and tolerance of intracellular noise. Nature. 420:2002;231-237. URL doi:10.1038/nature01258
23. Rupes I. Checking cell size in yeast. Trends Gene. 18(9):2002;479-485
24. Sha W., Moore J., Chen K., Lassaletta A.D., Yi C.-S., Tyson J.J., Sible J.C. Hysteresis driven cell-cycle transitions in Xenopus laevis egg extracts. Proc. Natl Acad. Sci. USA. 100(3):2003;975-980
25. Sveiczer A., Novak B. Regularities and irregularities in the cell cycle of the fission yeast, Schizosaccharomyces pombe. Acta Microbiol. Immunol. Hungarica. 49(2-3):2002;289-304
26. Sveiczer A., Novak B., Mitchison J.M. The size control in fission yeast revisited. J. Cell. Sci. 109:1996;2947-2957
27. Sveiczer A., Novak B., Mitchison J.M. Mitotic control in the absence of cdc25 mitotic inducer in fission yeast. J. Cell. Sci. 112:1999;1085-1092
28. -cdc25Δ mutant cells Proc. Natl Acad. Sci. USA. 97(14):2000;7865-7870
29. Sveiczer A., Tyson J.J., Novak B. A stochastic, molecular model of the fission yeast cell cycle. role of the nucleocytoplasmic ratio in cycle time regulation Biophys. Chem. 92:2001;1-15
30. Swain P.S., Elowitz M.B., Siggia E.D. Intrinsic and extrinsic contributions to stochasticity in gene expression. Proc. Natl Acad. Sci. USA. 99(20):2002;12795-12800
31. Tyson J.J. Effects of asymmetric division on a stochastic model of the cell division cycle. Math. Biosci. 96(2):1989;165-184
32. Tyson J.J. Modeling the cell division cycle. cdc2 and cyclin interactions Proc. Natl Acad. Sci. USA. 88:1991;7328-7332
33. Tyson J.J. Models of cell cycle control in eukaryotes. J. Biotechnol. 71:1999;239-244
34. Tyson J.J., Novak B. Regulation of the eukaryotic cell cycle. molecular antagonism, hysteresis, and irresversible transitions J. Theor. Biol. 210:2001;249-263
35. Tyson J.J., Borisuk M.T., Chen K., Novak B. Analysis of complex dynamics in cell cycle regulation. Bower J.M., Bolouri H. Computational Modeling of Genetic and Biochemical Networks. 2001;287-305 A Bradford Book, MIT Press, Cambridge, MA
36. Tyson J.J., Chen K., Novak B. Network dynamics and cell physiology. Nat. Rev. 2:2001;908-916
37. van Kampen N.G. Stochastic Processes in Physics and Chemistry. 1992;Elsevier Science B.V. Amsterdam