模式 A:t½=6 h,目标峰谷比 4 → τ = 12 h k = ln2/6 = 0.1155 h⁻¹;τ = ln(4)·6/ln2 = 2·6 = 12 h。每 12 h 给药可获得峰谷比 4。{"result":"τ = 12 h (k = 0.1155 h⁻¹) for a peak/trough ratio of 4. Method: τ = ln(P) · t½ / ln2.","metadata":{"input":{"mode":"ratio-to-tau","halfLife":6,"ratio":4},"result":{"dosingInterval":12,"dosingIntervalUnit":"h","k":0.1155,"kUnit":"h⁻¹","peakTroughRatio":4,"mode":"ratio-to-tau","method":"τ = ln(P) · t½ / ln2, k = ln2 / t½","model":"Linear one-compartment, steady state. Peak/trough ratio P = e^(kτ). Not medical advice."}}}
模式 B:t½=8 h,τ=8 h → 峰谷比 2 k = ln2/8 = 0.0866 h⁻¹;P = e^(k·τ) = e^(ln2) = 2。每半衰期给药一次,峰浓度是谷浓度的两倍。{"result":"Peak/trough ratio P = 2 (k = 0.0866 h⁻¹) for τ = 8 h. Method: P = e^(k·τ), k = ln2 / t½.","metadata":{"input":{"mode":"tau-to-ratio","halfLife":8,"interval":8},"result":{"dosingInterval":8,"dosingIntervalUnit":"h","k":0.0866,"kUnit":"h⁻¹","peakTroughRatio":2,"mode":"tau-to-ratio","method":"P = e^(k·τ), k = ln2 / t½","model":"Linear one-compartment, steady state. Peak/trough ratio P = e^(kτ). Not medical advice."}}}