Table 1.

Summary of the physical role of the parameters

Parameters	Physical role
ωs	characteristic frequency setting the timescale τs = 1/ωs of the end of the ballistic regime
ω0	characteristic frequency of the transient confining potential
ξs	friction component coming from the instantaneous response
ξp	friction component coming from the retarded response; it is the leading term in the asymptotic diffusion coefficient
ξp + ξs	total macroscopic friction felt by the protein
τ	timescale of the retarded (elastic) response of the lipid membrane
δ, λ, ν	δλ = ν to asymptotically get the Brownian regime; they shape the transition from subdiffusive-to-Brownian regime