Cell Cycle Mechanisms

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Table of contents

1 Introduction
1.1 Basic Mechanisms of the Mammalian Cell Cycle and Circadian Cell Clock Systems
1.1.1 Cell Cycle Mechanisms
1.1.2 Circadian Clock Mechanisms
1.2 The Cell Cycle and Circadian Clock Systems { a Brief Discussion
1.3 Phase-locking of the Mammalian Circadian Clock and Cell Cycle
1.4 Models of the Mammalian Cell Cycle and Circadian Clock Oscillators
1.4.1 Cell Cycle Models
1.4.2 Circadian Clock Models
1.5 Principles, Methods and Goals
1.6 Work Overview
2 Modeling the Mammalian Cell Cycle 
2.1 A comprehensive reduced model of the mammalian cell cycle
2.1.1 Abstract
2.1.2 Introduction
2.1.3 A 7D intermediate model
2.1.4 Model Reduction and Calibration
2.1.5 Mathematical Analysis
2.1.6 Conclusion
2.1.7 Aknowledgments
2.2 Function Approximation in Cell Cycle Modeling
2.2.1 Graphical Function Approximation
2.2.2 Piecewise Quadratic Approximation
3 Modeling the Mammalian Circadian Clock
3.1 Timing of circadian clock regulatory inputs controls duration of activating and repressing phases in a transcriptional D-box-based model
3.1.1 Introduction
3.1.2 Model Design, Calibration and Robustness
3.1.3 Results and Discussion
3.1.4 Model Reduction
4 Coupling the Mammalian Cell Cycle and Circadian Clock Oscillators 
4.1 Coupling via MPF-induced phosphorylation of REV-ERB
4.2 Coupling via BMAL1-mediated wee1 activation (indirect repression of MPF)
4.2.1 Cell Cycle Period Control via the Clock
4.3 Bidirectional coupling
4.4 Coupling via GF-induced inhibition of R-box
4.5 Final Discussion
5 Conclusions and Perspectives 
5.1 Conclusions
5.2 Perspectives and Future Work
5.2.1 Design of Synthetic Oscillators
5.2.2 Clock and Cell Cycle Modeling
5.2.3 Experimental Studies