Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2

In the early embryonic cell cycle, Cdc2–cyclin B functions like an autonomous oscillator, whose robust biochemical rhythm continues even when DNA replication or mitosis is blocked. At the core of the oscillator is a negative feedback loop; cyclins accumulate and produce active mitotic Cdc2–cyclin B; Cdc2 activates the anaphase-promoting complex (APC); the APC then promotes cyclin degradation and resets Cdc2 to its inactive, interphase state. Cdc2 regulation also involves positive feedback, with active Cdc2–cyclin B stimulating its activator Cdc25 (refs 5–7) and inactivating its inhibitors Wee1 and Myt1 (refs 8–11). Under the correct circumstances, these positive feedback loops could function as a bistable trigger for mitosis, and oscillators with bistable triggers may be particularly relevant to biological applications such as cell cycle regulation. Therefore, we examined whether Cdc2 activation is bistable. We confirm that the response of Cdc2 to non-degradable cyclin B is temporally abrupt and switch-like, as would be expected if Cdc2 activation were bistable. We also show that Cdc2 activation exhibits hysteresis, a property of bistable systems with particular relevance to biochemical oscillators. These findings help establish the basic systems-level logic of the mitotic oscillator.

[1]  C. Markert,et al.  Cytoplasmic control of nuclear behavior during meiotic maturation of frog oocytes. , 1971, The Journal of experimental zoology.

[2]  S. Schorderet‐Slatkine Action of progesterone and related steroids on oocyte maturation in Xenopus laevis. An in vitro study. , 1972, Cell differentiation.

[3]  J. Reynhout,et al.  Studies on the appearance and nature of a maturation-inducing factor in the cytoplasm of amphibian oocytes exposed to progesterone. , 1974, Developmental biology.

[4]  K Hara,et al.  A cytoplasmic clock with the same period as the division cycle in Xenopus eggs. , 1980, Proceedings of the National Academy of Sciences of the United States of America.

[5]  D. Koshland,et al.  An amplified sensitivity arising from covalent modification in biological systems. , 1981, Proceedings of the National Academy of Sciences of the United States of America.

[6]  Eric T. Rosenthal,et al.  Cyclin: A protein specified by maternal mRNA in sea urchin eggs that is destroyed at each cleavage division , 1983, Cell.

[7]  L. Stryer,et al.  Molecular model for receptor-stimulated calcium spiking. , 1988, Proceedings of the National Academy of Sciences of the United States of America.

[8]  Andrew W. Murray,et al.  Cyclin synthesis drives the early embryonic cell cycle , 1989, Nature.

[9]  Marc W. Kirschner,et al.  Cyclin activation of p34 cdc2 , 1990, Cell.

[10]  A Goldbeter,et al.  A minimal cascade model for the mitotic oscillator involving cyclin and cdc2 kinase. , 1991, Proceedings of the National Academy of Sciences of the United States of America.

[11]  A. Murray,et al.  Cell cycle extracts. , 1991, Methods in cell biology.

[12]  Andrew W. Murray,et al.  Chapter 30 Cell Cycle Extracts , 1991 .

[13]  A. Murray,et al.  Cyclin is degraded by the ubiquitin pathway , 1991, Nature.

[14]  C. Smythe,et al.  Systems for the study of nuclear assembly, DNA replication, and nuclear breakdown in Xenopus laevis egg extracts. , 1991, Methods in cell biology.

[15]  J. Maller,et al.  Periodic changes in phosphorylation of the Xenopus cdc25 phosphatase regulate its activity. , 1992, Molecular biology of the cell.

[16]  A. Kumagai,et al.  Regulation of the cdc25 protein during the cell cycle in Xenopus extracts , 1992, Cell.

[17]  E. Karsenti,et al.  Phosphorylation and activation of human cdc25‐C by cdc2‐‐cyclin B and its involvement in the self‐amplification of MPF at mitosis. , 1993, The EMBO journal.

[18]  J. Tyson,et al.  Numerical analysis of a comprehensive model of M-phase control in Xenopus oocyte extracts and intact embryos. , 1993, Journal of cell science.

[19]  T. Coleman,et al.  Two distinct mechanisms for negative regulation of the Wee1 protein kinase. , 1993, The EMBO journal.

[20]  T. Coleman,et al.  Cell cycle regulation of a Xenopus Wee1-like kinase. , 1995, Molecular biology of the cell.

[21]  P. Russell,et al.  Cell cycle regulation of human WEE1. , 1995, The EMBO journal.

[22]  T. Coleman,et al.  Myt1: A Membrane-Associated Inhibitory Kinase That Phosphorylates Cdc2 on Both Threonine-14 and Tyrosine-15 , 1995, Science.

[23]  C. Thron,et al.  A model for a bistable biochemical trigger of mitosis. , 1996, Biophysical chemistry.

[24]  J. Labbé,et al.  The Polo-like kinase Plx1 is a component of the MPF amplification loop at the G2/M-phase transition of the cell cycle in Xenopus eggs. , 1998, Journal of cell science.

[25]  F. Taieb,et al.  The polo-like kinase Plx1 is required for activation of the phosphatase Cdc25C and cyclin B-Cdc2 in Xenopus oocytes. , 2001, Molecular biology of the cell.

[26]  J. Ferrell Self-perpetuating states in signal transduction: positive feedback, double-negative feedback and bistability. , 2002, Current opinion in cell biology.

[27]  S. Leibler,et al.  Mechanisms of noise-resistance in genetic oscillators , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[28]  J. Hasty,et al.  Synchronizing genetic relaxation oscillators by intercell signaling , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[29]  F. Cross,et al.  Testing a mathematical model of the yeast cell cycle. , 2002, Molecular biology of the cell.

[30]  J. Tyson,et al.  The dynamics of cell cycle regulation. , 2002, BioEssays : news and reviews in molecular, cellular and developmental biology.

[31]  A. Goldbeter Computational approaches to cellular rhythms , 2002, Nature.