Viral Persistence and Transmission at the Skin--Mucosa Boundary:\\ A Boundary-Condition, Bandwidth, and Collapse Cadence Framework Applied to HSV and HPV

Abstract Herpes simplex viruses (HSV-1/2) and human papillomavirus (HPV) preferentially infect skin and mucosal boundaries and persist through immune-evasion strategies that minimize visibility rather than maximize replication. Although their virology is well characterized, transmission, shedding, and persistence are often described in fragmented terms across epidemiology, dermatology, and immunology. This work presents a boundary-condition and timing-based synthesis that reframes HSV shedding, HPV persistence, and wart chronicity as dynamical states of host--virus coupling at the skin--mucosa interface. Using a Sympathetic Harmonic Resonance Framework (SHRF) as an organizing lens, persistence is modeled as a…