Peristaltic aboral transport

A slow-wave phase gradient produces net aboral transport. Weak nearest-neighbour coupling on the segments' intrinsic frequencies builds a travelling occlusion wave; a mass-conserving pressure flux then carries a luminal bolus +12 segments downstream under a physiological proximal-fast gradient, and reverses to oral (−1) under a reversed-gradient control. Directed transport from a phase gradient is forced [V].

Weak Kuramoto coupling on FitzHugh–Nagumo segments builds a travelling occlusion wave; a mass-conserving pressure flux moves a bolus +12 segments aborally and −1 (oral) under a reversed gradient. Net directed transport from a phase gradient is forced [V], robust across coupling and flux-scale sweeps.

A slow-wave phase gradient produces net aboral transport: under a physiological proximal-fast gradient a luminal bolus moves 12.0 segments downstream, and under a reversed-gradient control it moves orally (-1.0 segments). Direction is set entirely by the sign of the frequency gradient.

Weak nearest-neighbour (Kuramoto) coupling on the segments' intrinsic frequencies builds a travelling phase wave; an occlusion indicator marks contracting segments, and a mass-conserving pressure flux moves content from more-occluded toward less-occluded neighbours. No content is created or destroyed — only transported.

Directed transport from a phase gradient is forced [V], and it is robust: net aboral displacement survives every combination of coupling strength {0.03,0.05,0.08} and flux scale {0.15,0.20,0.30}. The reversal under a flipped gradient is the control that rules out a coupling artefact — transport tracks the physiological gradient, not the coupling.