The physiology
Two branches, two speeds.
The heart is under constant dual control. Vagal (parasympathetic) fibres slow the sinus node within a single beat through acetylcholine acting on fast muscarinic channels. Sympathetic fibres speed it up more slowly, over several seconds, through noradrenaline and cAMP signalling. Because the two branches act at different speeds, their influence appears at different frequencies in the beat-to-beat rhythm. Breathing adds a third rhythm: heart rate rises on inhalation and falls on exhalation (respiratory sinus arrhythmia), almost entirely through vagal modulation. Blood pressure regulation through the baroreflex adds a slower oscillation near 0.1 Hz. Reading these oscillations is the basis of frequency-domain HRV.