Abstract
In this paper we propose a role for the protein in the entry of cells into mitosis. This has not been considered in the literature so far. Recent experiments suggest that , upon entry into mitosis, inhibits the appearance of active and cyclin B complexes. This paper proposes a mathematical model which incorporates the dynamics of kinase , its regulatory protein cyclin B, the regulatory phosphatase and the inhibitor known to be involved in the regulation of active and cyclin B complexes. The experimental data lead us to formulate a new hypothesis that slows down the activation of inactive complexes of and cyclin B upon mitotic entry. Our mathematical model, based on mass action kinetics, provides a possible explanation for the experimental data. We claim that the dynamics of active complexes and cyclin B have a similar nature to diauxic dynamics introduced by Monod in 1949. In mathematical terms we state it as the existence of more than one inflection point of the curve defining the dynamics of the complexes.
Highlights
The mitotic cell cycle is an ordered sequence of events, grouped into four phases: G1, S, G2 and M, during which the eukaryotic cell doubles its content, and divides into two daughter cells
We present the analysis and numerical simulations of this new model, suggesting how CDC6 regulates the dynamics of CDK1/CYC B activation upon M-phase entry
The proposed model captures the most important characteristics of the diauxic growth of CDK1 activation observed in biochemical experiments
Summary
The mitotic cell cycle is an ordered sequence of events, grouped into four phases: G1 , S, G2 and M, during which the eukaryotic cell doubles its content, and divides into two daughter cells. The classical models for studies of cell cycle molecular machinery are oocytes and early embryos. These have the distinguishing property of being transcriptionally silent. This implies that the molecular machinery governing oocyte maturation and early embryo development is based on the maternal information accumulated during oocyte growth. Two main classes of proteins involved in cell cycle control are cyclins and enzymes called cyclin dependent kinases—CDKs. During individual phases a specific cyclin accumulates in the cell, associates with an appropriate kinase and with the help of other enzymes activates the kinase/cyclin complex. The appropriate level of an active complex triggers the transition to the phase of the cell cycle
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