From Molecular Biology of the Cell, Alberts 2003:
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For an animal cell to proliferate, nutrients are not enough. It must also receive stimulatory extracellular signals, in the form of mitogens...Mitogens act to overcome intracellular braking mechanisms that block progress through the cell cycle.
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In the absence of a mitogenic signal to proliferate, Cdk inhibition in G1 is maintained, and the cell cycle arrests. In some cases, cells partly disassemble their cell-cycle control systems and exit from the cycle to a specialized, non-dividing state called G0.
Most cells in our body are G0...neuron and muscle...terminally differentiated...liver cells...stimulated to divide if the liver is damaged...
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etc etc.
If you want to know more about any parts of the cell cycle, please ask, I need to know all of this stuff myself. Final exams are coming, and I plan on answering a question on this very topic