Changing signal at a fixed half-signal constant shows receptor saturation numerically. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Signal six gives one half occupancy

Hold half-signal at 6. Signal 6 gives occupancy 1/2.

6/(6+6)=126/(6+6)=\frac{1}{2}
Receptor occupancy ledgerA half-signal constant turns signal into a bound fraction.61/2

Signal twelve gives two thirds occupancy

Raising the signal to 12 changes both numerator and denominator, giving 2/3.

12/(12+6)=2312/(12+6)=\frac{2}{3}
Receptor occupancy ledgerA half-signal constant turns signal into a bound fraction.122/3

Signal eighteen gives three fourths occupancy

Signal 18 gives occupancy 3/4. Three rows make saturation visible without a curve fit.

18/(18+6)=3418/(18+6)=\frac{3}{4}
Receptor occupancy ledgerA half-signal constant turns signal into a bound fraction.183/4