Related Experiment Video
Updated: Jul 9, 2026

Analysis of Cell Cycle Position in Mammalian Cells
Published on: January 21, 2012
An age-and-cyclin-structured cell population model for healthy and tumoral tissues
Fadia Bekkal Brikci1, Jean Clairambault, Benjamin Ribba
1Projet BANG, UR Rocquencourt, Institut de Recherche en Informatique et en Automatique, BP 105, Le Chesnay Cedex, 78150, France.
Abstract:
We present a nonlinear model of the dynamics of a cell population divided into proliferative and quiescent compartments. The proliferative phase represents the complete cell cycle (G (1)-S-G (2)-M) of a population committed to divide at its end. The model is structured by the time spent by a cell in the proliferative phase, and by the amount of Cyclin D/(CDK4 or 6) complexes. Cells can transit from one compartment to the other, following transition rules which differ according to the tissue state: healthy or tumoral. The asymptotic behaviour of solutions of the nonlinear model is analysed in two cases, exhibiting tissue homeostasis or tumour exponential growth. The model is simulated and its analytic predictions are confirmed numerically.
Related Concept Videos
Molecular Factors Affecting Cell Division
Several proteins function as internal regulators to ensure each cell cycle stage is completed faithfully before proceeding to the next. Regulator molecules may act directly or influence the activity or production of other...
What is the Cell Cycle?
What is the Cell Cycle?
The Cell Cycle Control System
Cyclins and cyclin-dependent kinases (Cdks) are the primary cell cycle regulators and function at the cell...
The Cell Cycle Control System
Inhibition of Cdk Activity

