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The difference in DNA replication rate between prokaryotes and eukaryotes is still under current research, but the basics are understood. It is very much a matter of complexity, as eukaryotes are more complex in many different ways. I found a very useful reference for this and other kinds of related questions. Briefly, some possible reasons:
[...] in ...
4
For the logistic equation,
$$\frac{\mathrm{d}N(t)}{\mathrm{d}t} = rN(t)\left(\frac{K - N(t)}{K}\right)$$ the solution that allows you to calculate population population size at any time is:
$$N(t) = \frac{N(0)Ke^{rt}}{K - N(0) + N(0)e^{rt}}.$$ Looking at this equation algebraically with a set of knowns—$K$, $t$, and $N(t)$—and a set of unknowns—$r$ and $N(0)$...
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