Demo 1 · How a reinforced loop becomes automatic
Each time a cue is followed by biting and then by immediate relief, the cue–biting link strengthens. Automaticity grows as a saturating function of the number of reinforced repetitions, A(n) = 1 − e−k n. Drag the number of repetitions and the reinforcement rate k, and watch why a long-standing habit feels impossible to stop by willpower: the curve is already near its ceiling.
Demo 2 · Dose–response to tissue damage
Tissue damage scales with the dose of biting: how many episodes a day, how forcefully, and over how many years. The schematic nail plate shortens and the cuticle recedes in proportion to a saturating model, damage index = 1 − e−0.5L, with load L = (episodes ÷ 5) × force × years. Breaching the cuticle is what invites paronychia.
Demo 3 · Spontaneous vs treated cessation
A competing response reliably executed at the cue converts a would-be reinforced repetition into a non-reinforced one, so automaticity decays: A(m) = A0 e−d m. Natural remission is slow; a bitter coating alone is a little faster; full habit reversal paired with differential reinforcement of other behavior (DRO) is fastest, because it targets the automaticity directly (Azrin & Nunn, 1973).