Renal cell carcinoma and the smoking dose response

Smoking raises renal cell carcinoma risk through cumulative barrier-lowering. The kernel reproduces a monotone, saturating dose-response: RR ≈ 1.39 at ~20 pack-years and ≈ 2.00 at 50, tracking the Hunt 2005 meta dose bands (1.60/1.83/2.03). Anchor [L]; shape [V]; absolute incidence [O].

Mapping pack-years to a sustained drive on the kidney R19 switch yields RR(dose) = exp(Δbarrier/D). The curve is monotone and saturating, giving RR ≈ 1.39 (20 PY) and ≈ 2.00 (50 PY) — inside the cited smoking bands; absolute incidence stays open.

Pack-years lower the barrier

Renal cell carcinoma risk rises with tobacco exposure. Cumulative pack-years map to a sustained drive that lowers the kidney switch barrier; the Arrhenius crossing rate then gives the relative risk.

Monotone, saturating, in-band

The dose-response is monotone and sigmoidal (saturating at high exposure), with RR ≈ 1.39 near the 20 pack-year ever-smoker mark and ≈ 2.00 at 50 pack-years. The 30/40/50 PY values 1.60/1.81/2.00 track the Hunt 2005 meta dose-dependence (1.60/1.83/2.03). The shape is forced by the barrier law; only the dose→drive scale is calibrated [CAL], and the absolute incidence per 100k remains [O] pending a population baseline hazard.