The spiraeum is also replicating during cell division, forming two exact copies of the cell state (not just the genome state, which is on longer time scales. )
An exponential rate for spiraeum replication via tree-like microtubule nucleation
Branching nucleation is an ideal mechanism for replicating the spiraeum during the prophase of mitosis, new daughter microtubules can form at the side of existing parent microtubules, resulting in the accelerated formation of the total length of copied microtubules within the parallel microtubule structure of the mitotic spindle.
With 30 nm/s extension rate of microtubules, each branch forms two coil turns per second, 9 blocks of memory which can be seen as 9 append-only inputs per second. If prophase is 2 hours, 7200 seconds * 9 blocks per second = 64800 memory blocks copied during prophase, 77 kilobytes per branch within the mitotic spindle, a spindle apparatus with 100 branches could at a very low growth rate of 30 nm/s replicate 7.7 mb in just 2 hours.
The replication could be ongoing from the moment the mitotic spindle appears, centrioles replicate during the S phase of "interphase" that precedes mitosis, and move apart during prophase and microtubules form the mitotic spindles between the centrioles.
The image below in early prophase shows the replication of the cell state.
and in late interphase, just preceding prophase and replication of the "cell computer",
