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In animal cells, during the S phase, DNA replication begins in the nucleus, and the centriole duplicates in the cytoplasm.
${\mathrm{G}}_1$phase corresponds to the interval between mitosis and initiation of DNA replication. During ${\mathrm{G}}_1$phase the cell is metabolically active and continuously grows but does not replicate its DNA. 
During the ${\mathrm{G}}_2$phase, proteins are synthesised in preparation for mitosis while cell growth continues.
Cells in the ${\mathrm{G}}_0$stage remain metabolically active but no longer proliferate unless called on to do so depending on the requirement of the organism.