Biology
Gene Regulation (Lac Operon Switch)
expression = xⁿ / (xⁿ + Kⁿ), n = 4
The cooperative Hill response of the lac operon behaves like an almost all-or-none switch; raising the threshold K demands more inducer before transcription flips decisively on.
Computed & rendered in pure C# on the frozen OnlyCSharp 1.8 library — animation baked to GIF with the library's own
Gif encoder (no GPU, no ffmpeg, no external packages).