Abstract
One goal of systems biology is to obtain an integrated understanding of the physiological properties of cells from the detailed molecular machinery (the genes, proteins, and metabolites) that carry out these functions. Cell cycle regulation in yeast is an appropriate test case for this ambition, because the scientific community has amassed much information about the molecular components and functional properties of the control system. We propose a general mechanism for the regulation of cyclin-dependent kinases, the enzymes that control the major events of the cell cycle (DNA synthesis, mitosis and cell division). We translate the mechanism into differential-algebraic equations, and study solutions of these equations by numerical simulations and one-parameter bifurcation diagrams. We present results for wild type cells and a mutant that undergoes repeated rounds of DNA replication without intervening mitoses. We use bifurcation diagrams to reveal the general principles by which a cell controls its progression through the cell cycle.
Preview
Unable to display preview. Download preview PDF.
References
1. Alberghina L, Rossi R, Querin L, Wanke V, Vanoni M (2004) A cell sizer network involving Cln3 and Far1 controls entrance into S phase in the mitotic cycle of budding yeast. J Cell Biol 167:433-443
2. Alberts B, Bray D, Lewis J, Raff M, Roberts K, Watson JD (1994) Molecular Biology of the Cell, 3rd edn. Garland Publishing, Inc., New York
3. Aligue R, Wu L, Russell P (1997) Regulation of Schizosaccharomyces pombe Wee1 tyrosine kinase. J Biol Chem 272:13320-13325
4. Amon A, Surana U, Muroff I, Nasmyth K (1992) Regulation of p34CDC28 tyrosine phosphorylation is not required for entry into mitosis in S. cerevisiae. Nature 355:368-371
5. Amon A, Tyers M, Futcher B, Nasmyth K (1993) Mechanisms that help the yeast cell cycle clock tick: G2 cyclins transcriptionally activate G2 cyclins and repress G1 cyclins. Cell 74:993-1007
6. Ayte J, Schweitzer C, Zarzov P, Nurse P, DeCaprio JA (2001) Feedback regulation of the MBF transcription factor by cyclin Cig2. Nat Cell Biol 3:1043-1050
7. Bai S, Goodrich D, Thron CD, Tecarro E, Obeyesekere M (2003) Theoretical and experimental evidence for hysteresis in cell proliferation. Cell Cycle 2:46-52
8. Benito J, Martin-Castellanos C, Moreno S (1998) Regulation of the G1 phase of the cell cycle by periodic stabilization and degradation of the p25rum1 CDK inhibitor. EMBO J 17:482-497
9. Blanco MA, Sanchez-Diaz A, de Prada JM, Moreno S (2000) APC(ste9/srw1) promotes degradation of mitotic cyclins in G(1) and is inhibited by cdc2 phosphorylation. EMBO J 19:3945-3955
10. Botchan M (1996) Coordinating DNA replication with cell division: Current status of the licensing concept. Proc Natl Acad Sci USA 93:9997-10000
11. Bray D (1995) Protein molecules as computational elements in living cells. Nature 376:307-312
12. Ciliberto A, Petrus MJ, Tyson JJ, Sible JC (2003) A kinetic model of the cyclin E/Cdk2 developmental timer in Xenopus laevis embryos. Biophys Chem 104:573-589
13. Correa-Bordes J, Nurse P (1995) p25rum1 orders S-phase and mitosis by acting as an inhibitor of the p34cdc2 mitotic kinase. Cell 83:1001-1009
14. Cross FR, Archambault V, Miller M, Klovstad M (2002) Testing a mathematical model of the yeast cell cycle. Mol Biol Cell 13:52-70
15. Cross FR, Schroeder L, Kruse M, Chen KC (2005) Quantitative characterization of a mitotic cyclin threshold regulating exit from mitosis. Mol Biol Cell 16 (in press)
16. Dahmann C, Diffley JFX, Nasmyth K (1995) S-phase-promoting cyclin-dependent kinases prevent re-replication by inhibiting the transition of replication origins to a pre-replicative state. Curr Biol 5:1257-1269
17. Fantes PA, Nurse P (1981) Division timing: controls, models and mechanisms. In: John PCL (ed) The Cell Cycle. Cambridge Univ. Press, Cambridge UK, pp 11-33
18. Fisher D, Nurse P (1995) Cyclins of the fission yeast Schizosaccharomyces pombe. Semin Cell Biol 6:73-78
19. Fisher DL, Nurse P (1996) A single fission yeast mitotic cyclin B p34cdc2 kinase promotes both S-phase and mitosis in the absence of G1 cyclins. EMBO J 15:850-860
20. Hayles J, Fisher D, Woollard A, Nurse P (1994) Temporal order of S phase and mitosis in fission yeast is determined by the state of the p34cdc2 -mitotic B cyclin complex. Cell 78:813-822
21. Jaspersen SL, Charles JF, Morgan DO (1999) Inhibitory phosphorylation of the APC regulator Hct1 is controlled by the kinase Cdc28 and the phosphatase Cdc14. Curr Biol 11:227-236
22. Kaplan D, Glass L (1995) Understanding Nonlinear Dynamics. Springer-Verlag, New York
23. Kitamura K, Maekawa H, Shimoda C (1998) Fission yeast Ste9, a homolog of Hct1/Cdh1 and Fizzy-related, is a novel negative regulator of cell cycle progression during G1-phase. Mol Biol Cell 9:1065-1080
24. Koch C, Moll T, Neuberg M, Ahorn H, Nasmyth K (1993) A role for the transcription factors Mbp1 and Swi4 in progression from G1 to S phase. Science 261:1551-1557
25. Lew DJ (2003) The morphogenesis checkpoint: how yeast cells watch their figures. Curr Opin Cell Biol 15:648-653
26. Lodish H, Berk A, Zipursky SL, Matsudaira P, Baltimore D, Darnell J (2000) Molecular Cell Biology, 4th edn. W.H. Freeman, New York
27. Mendenhall MD, Hodge AE (1998) Regulation of Cdc28 cyclin-dependent protein kinase activity during the cell cycle of the yeast Saccharomyces cerevisiae. Microbiol Mol Biol Rev 62:1191-1243
28. Millar JBA, Russell P (1992) The cdc25 M-phase inducer: an unconventional protein phosphatase. Cell 68:407-410
29. Mondesert O, McGowan CH, Russell P (1996) Cig2, a B-type cyclin, promotes the onset of S in Schizosaccharomyces pombe. Mol Cell Biol 16:1527-1533
30. Morgan DO (1999) Regulation of the APC and the exit from mitosis. Nature Cell Biol 1:E47-E53
31. Nasmyth K (1996a) At the heart of the budding yeast cell cycle. Trends Genet 12:405-412
32. Nasmyth K (1996b) Viewpoint: putting the cell cycle in order. Science 274:1643-1645
33. Novak B, Csikasz-Nagy A, Gyorffy B, Nasmyth K, Tyson JJ (1998) Model scenarios for evolution of the eukaryotic cell cycle. Phil Trans Royal Soc London. Series B: Biol Sci 353:2063-2076
34. Nurse P (1990) Universal control mechanism regulating onset of M-phase. Nature 344:503-508
35. Nurse P (1999) Cyclin dependent kinases and regulation of the fission yeast cell cycle. Biol Chem 380:729-733
36. Peters JM (2002) The anaphase-promoting complex: proteolysis in mitosis and beyond. Mol Cell 9:931-943
37. Pomerening JR, Sontag ED, Ferrell JE Jr (2003) Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2. Nat Cell Biol 5:346-351
38. Russell P, Nurse P (1986) cdc25+ functions as an inducer in the mitotic control of fission yeast. Cell 45:145-153
39. Russell P, Nurse P (1987) Negative regulation of mitosis by wee1+, a gene encoding a protein kinase homolog. Cell 49:559-567
40. Schwob E, Bohm T, Mendenhall MD, Nasmyth K (1994) The B-type cyclin kinase inhibitor p40sic1 controls the G1 to S transition in S. cerevisiae. Cell 79:233-244
41. Schwob E, Nasmyth K (1993) CLB5 and CLB6, a new pair of B cyclins involved in DNA replication in Saccharomyces cerevisiae. Genes Dev 7:1160-1175
42. Sha W, Moore J, Chen K, Lassaletta AD, Yi CS, Tyson JJ, Sible JC (2003) Hysteresis drives cell-cycle transitions in Xenopus laevis egg extracts. Proc Natl Acad Sci USA 100:975-980
43. Simanis V (2003) Events at the end of mitosis in the budding and fission yeasts. J Cell Sci 116:4263-4275
44. Sorger PK, Murray AW (1992) S-phase feedback control in budding yeast independent of tyrosine phosphorylation of p34cdc28. Nature 355:365-368
45. Strogatz SH (1994) Nonlinear Dynamics and Chaos. Addison-Wesley Co., Reading, MA
46. Thornton BR, Chen KC, Cross FR, Tyson JJ, Toczyski DP (2004) Cycling without the cyclosome: modeling a yeast strain lacking the APC. Cell Cycle 3:629-633. Epub 2004 May 2003
47. Tyson JJ, Chen K, Novak B (2001) Network dynamics and cell physiology. Nature Rev Mol Cell Biol 2:908-916
48. Tyson JJ, Csikasz-Nagy A, Novak B (2002) The dynamics of cell cycle regulation. BioEssays 24:1095-1109
49. Verma R, Feldman RMR, Deshaies RJ (1997) Sic1 is ubiquitinated in vitro by a pathway that requires CDC4, CDC34 and Cyclin/CDK activities. Mol Biol Cell 8:1427-1437
50. Wuarin J, Nurse P (1996) Regulating S phase: CDKs, licensing and proteolysis. Cell 85:785-787
51. Yamaguchi S, Okayama H, Nurse P (2000) Fission yeast Fizzy-related protein srw1p is a G(1)-specific promoter of mitotic cyclin B degradation. EMBO J 19:3968-3977
52. Zachariae W, Nasmyth K (1999) Whose end is destruction: cell division and the anaphase-promoting complex. Genes Devel 13:2039-2058
53. Zachariae W, Schwab M, Nasmyth K, Seufert W (1998) Control of cyclin ubiquitination by CDK-regulated binding of Hct1 to the anaphase promoting complex. Science 282:1721-1724
Author information
Authors and Affiliations
Corresponding author
Editor information
Rights and permissions
About this chapter
Cite this chapter
Novák, B., Chen, K.C., Tyson, J.J. Systems biology of the yeast cell cycle engine. In: Alberghina, L., Westerhoff, H. (eds) Systems Biology. Topics in Current Genetics, vol 13. Springer, Berlin, Heidelberg. https://doi.org/10.1007/b137123
Download citation
DOI: https://doi.org/10.1007/b137123
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-22968-1
Online ISBN: 978-3-540-31453-0
eBook Packages: Biomedical and Life SciencesBiomedical and Life Sciences (R0)