Phase-Resolved Molecular Timing Channels under Pulsatile Drift: Volterra Characterization and Corrected Inverse-Gaussian Approximation

Pulsatile drift makes molecular arrival times depend on the release phase. We study a one-dimensional absorbing timing channel with constant diffusivity and positive-mean sinusoidal drift. A moving-boundary formulation yields an exact Volterra characterization of the phase-conditioned first-hitting