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Journal Articles Mathematical Modelling of Natural Phenomena Year : 2012

Modeling Biological Rhythms in Cell Populations


Biological rhythms occur at different levels in the organism. In single cells, the cell division cycle shows rhythmicity in the way its molecular regulators, the cyclin dependant kinases (CDKs), modulate their activity periodically to ensure a healthy progression. In tissues, cell proliferation is driven by the circadian clock, which modulates the progression through the cell cycle along the day. The circadian clock shows endogenous rhythmicity through a robust network of transcription-translation feedback loops that create sustained oscillations. Rhythmicity is preserved in cell populations by the coordination of the clocks among cells, through rhythmic synchronization signals. Here we discuss mechanisms for generating rhythmic activities in cell populations by reviewing some of the mathematical models that deal with them. We discuss the implication of biological rhythms for tissue growth and the possible application to chronomodulated cancer treatments.

Dates and versions

hal-00847008 , version 1 (22-07-2013)



Raouf El Cheikh, Thomas Lepoutre, Samuel Bernard. Modeling Biological Rhythms in Cell Populations. Mathematical Modelling of Natural Phenomena, 2012, 7 (6), pp.107--125. ⟨10.1051/mmnp/20127606⟩. ⟨hal-00847008⟩
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