Click here to close
Hello! We notice that you are using Internet Explorer, which is not supported by Xenbase and may cause the site to display incorrectly.
We suggest using a current version of Chrome,
FireFox, or Safari.
???displayArticle.abstract???
Theoretical studies have shown that a deterministic biochemical oscillator can become chaotic when operating over a sufficiently large volume and have suggested that the Xenopus laevis cell cycle oscillator operates close to such a chaotic regime. To experimentally test this hypothesis, we decreased the speed of the post-fertilization calcium wave, which had been predicted to generate chaos. However, cell divisions were found to develop normally, and eggs developed into normal tadpoles. Motivated by these experiments, we carried out modeling studies to understand the prerequisites for the predicted spatial chaos. We showed that this type of spatial chaos requires oscillatory reaction dynamics with short pulse duration and postulated that the mitotic exit in Xenopus laevis is likely slow enough to avoid chaos. In systems with shorter pulses, chaos may be an important hazard, as in cardiac arrhythmias, or a useful feature, as in the pigmentation of certain mollusk shells.
Babloyantz,
Mechanisms of target and spiral wave propagation in single cells.
1994, Pubmed
Babloyantz,
Mechanisms of target and spiral wave propagation in single cells.
1994,
Pubmed Bonnet,
Characterization of centrosomal localization and dynamics of Cdc25C phosphatase in mitosis.
2008,
Pubmed Bub,
Spiral wave generation in heterogeneous excitable media.
2002,
Pubmed Busa,
An elevated free cytosolic Ca2+ wave follows fertilization in eggs of the frog, Xenopus laevis.
1985,
Pubmed
,
Xenbase Chang,
Mitotic trigger waves and the spatial coordination of the Xenopus cell cycle.
2013,
Pubmed
,
Xenbase Chialvo,
Non-linear dynamics of cardiac excitation and impulse propagation.
,
Pubmed Duckett,
Modeling the dynamics of cardiac action potentials.
2000,
Pubmed Fitzhugh,
Impulses and Physiological States in Theoretical Models of Nerve Membrane.
1961,
Pubmed Fontanilla,
Characterization of the sperm-induced calcium wave in Xenopus eggs using confocal microscopy.
1998,
Pubmed
,
Xenbase Gelens,
Spatial trigger waves: positive feedback gets you a long way.
2014,
Pubmed
,
Xenbase Hoffmann,
Phosphorylation and activation of human cdc25-C by cdc2--cyclin B and its involvement in the self-amplification of MPF at mitosis.
1993,
Pubmed
,
Xenbase Jackman,
Active cyclin B1-Cdk1 first appears on centrosomes in prophase.
2003,
Pubmed Kim,
Substrate competition as a source of ultrasensitivity in the inactivation of Wee1.
2007,
Pubmed
,
Xenbase King,
How proteolysis drives the cell cycle.
1996,
Pubmed McGowan,
Human Wee1 kinase inhibits cell division by phosphorylating p34cdc2 exclusively on Tyr15.
1993,
Pubmed McIsaac,
Does the potential for chaos constrain the embryonic cell-cycle oscillator?
2011,
Pubmed
,
Xenbase Minshull,
Translation of cyclin mRNA is necessary for extracts of activated xenopus eggs to enter mitosis.
1989,
Pubmed
,
Xenbase Mueller,
Myt1: a membrane-associated inhibitory kinase that phosphorylates Cdc2 on both threonine-14 and tyrosine-15.
1995,
Pubmed
,
Xenbase Mueller,
Cell cycle regulation of a Xenopus Wee1-like kinase.
1995,
Pubmed
,
Xenbase Murray,
Cyclin synthesis drives the early embryonic cell cycle.
1989,
Pubmed
,
Xenbase Novak,
Numerical analysis of a comprehensive model of M-phase control in Xenopus oocyte extracts and intact embryos.
1993,
Pubmed
,
Xenbase Panfilov,
Self-organized pacemakers in a coupled reaction-diffusion-mechanics system.
2005,
Pubmed Parker,
Inactivation of the p34cdc2-cyclin B complex by the human WEE1 tyrosine kinase.
1992,
Pubmed Pomerening,
Systems-level dissection of the cell-cycle oscillator: bypassing positive feedback produces damped oscillations.
2005,
Pubmed
,
Xenbase Pomerening,
Building a cell cycle oscillator: hysteresis and bistability in the activation of Cdc2.
2003,
Pubmed
,
Xenbase Rabinovitch,
A Model for the Propagation of Action Potentials in Non-Uniformly Excitable Media.
1999,
Pubmed Romond,
Alternating oscillations and chaos in a model of two coupled biochemical oscillators driving successive phases of the cell cycle.
1999,
Pubmed Sha,
Hysteresis drives cell-cycle transitions in Xenopus laevis egg extracts.
2003,
Pubmed
,
Xenbase Solomon,
Cyclin activation of p34cdc2.
1990,
Pubmed
,
Xenbase Sridhar,
Anomalous drift of spiral waves in heterogeneous excitable media.
2010,
Pubmed Starmer,
Vulnerability in an excitable medium: analytical and numerical studies of initiating unidirectional propagation.
1993,
Pubmed Steinberg,
The role of heterogeneities and intercellular coupling in wave propagation in cardiac tissue.
2006,
Pubmed Tang,
Two distinct mechanisms for negative regulation of the Wee1 protein kinase.
1993,
Pubmed
,
Xenbase Trunnell,
Ultrasensitivity in the Regulation of Cdc25C by Cdk1.
2011,
Pubmed
,
Xenbase Tsai,
Changes in oscillatory dynamics in the cell cycle of early Xenopus laevis embryos.
2014,
Pubmed
,
Xenbase Vinod,
The role of APC/C inhibitor Emi2/XErp1 in oscillatory dynamics of early embryonic cell cycles.
2013,
Pubmed
,
Xenbase Winfree,
Electrical instability in cardiac muscle: phase singularities and rotors.
1989,
Pubmed Yang,
The Cdk1-APC/C cell cycle oscillator circuit functions as a time-delayed, ultrasensitive switch.
2013,
Pubmed
,
Xenbase Zhou,
Study of propagation along nonuniform excitable fibers.
1994,
Pubmed