PCR as Thermal Cycling

Ten-Cycle Ladder

repeated doublings add up

A small number of ideal cycles already gives a large toy count. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

A repeated doubling grows quickly

The same ideal rule with 10 cycles uses the power 2 to that count.

N=1⋅210N=1\cdot 2^{10}
PCR cycle ladderIdeal cycle stages are shown without claiming chemistry kinetics.copiesideal doubling

Ten ideal cycles give a precise toy count

The final count is 1024 copies.

N=1024N=1024
PCR cycle ladderIdeal cycle stages are shown without claiming chemistry kinetics.copiesideal doubling

Intermediate doublings explain the final count

The final count is easier to scan after smaller milestones. The same ideal doubling rule produces every row.

cN1224532101024\begin{array}{c|c}c&N\\1&2\\2&4\\5&32\\10&1024\end{array}
PCR cycle ladderIdeal cycle stages are shown without claiming chemistry kinetics.copiesideal doubling