The cell division cycle is an important biological process, essential for the development and survival of all organisms. The eukaryotic cell cycle is controlled by an intricate network of genes and proteins, which can be described by mathematical equations. These mathematical models describe how the concentrations of the different components of the control network change over time and in space. In the cell cycle, these concentrations rise and fall periodically, each oscillation corresponding to one cycle. Moreover, in spatially extended systems, traveling waves of protein activity can be observed, which play a role in synchronizing the cell cycle in large cells. In this talk, I will discuss how bistability and time delay generate oscillations and traveling waves, and how these features are important in the coordination of the cell division cycle.
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