Science · FTP, power & testing

Lab power–duration from PPO, MAP, and P_LT2 (MuDo-PD)

When field MMP is thin, Koyaro predicts 1–60 min power from laboratory PPO, MAP, and lactate-threshold 2 power using Wahl & Ji 2026 mean decay constants. All-out MMP and eFTP still win when a field point exists. Missing lab landmarks → no invented curve.

Last reviewed · Part of Koyaro’s public science knowledge base — the same method notes the coaching engine cites.

Athlete summary

A lab test that reports peak sprint power (PPO), maximal aerobic power (MAP) from a ramp, and power at the second lactate threshold (P_LT2) can sketch your 30-second-to-60-minute power curve — useful when you do not yet have enough all-out field efforts.

Koyaro uses that sketch only to fill holes on your mean-maximal curve. If you already have an all-out 3-minute or 20-minute from rides, that field number stays. Estimated FTP from a ride (eFTP) still comes from field MMP, not from this lab curve.

Intensity domains also read the same lab file: VT1 / LT1 as the moderate→heavy turn, CP or P_LT2 as heavy→severe, MAP as the top of severe (power at V̇O2max). Unordered or missing landmarks are skipped — we do not invent a threshold.

Fatigued-VT1 prediction needs a logged baseline VT1 and V̇O2peak. Without both, that model stays silent.

Engine formulas (Wahl & Ji 2026)

Cite-locked piecewise exponential. Mean Study-1 decay constants (external validation path; n=75 independent athletes, ICC ≈ 0.99, bias 0 ± 18 W):

PO(t) = MAP + (PPO − MAP)  ekAnPR  t, for t ≤ 300 s
PLT2 + (MAP − PLT2)  ekAePR  (t−300), for 300 s < t ≤ 3600 s
kAnPR = −0.023 s−1,  kAePR = −0.0023 s−1

Worked example (paper typical athlete): PPO = 1271 W, MAP = 508 W, P_LT2 = 383 W → PO(180 s) = 520 W, PO(1200 s) = 400 W.

Need all three of PPO, MAP, P_LT2, and P_LT2 < MAP < PPO. Individual k is not fitted from field MMP (the paper found only a modest gain vs mean k).

What this is not

ConcernOwner
Field MMP / OmPD when all-out efforts existRide power curve + eFTP
Auto-applied CP/W′Accepted multi-effort fit only
CdA / Crr / TT physics
Plan bias from lab trends
Fatigued VT1 from decoupling

Literature

KeySourceLock
wahl-ji-2026-mudopdWahl P, Ji S. From diagnostics to prediction: development and validation of a multi-domain power-duration model. Eur J Appl Physiol. 2026. doi 10.1007/s00421-026-06142-8Piecewise AnPR/AePR; mean k; example 1271 / 508 / 383 W → 520 W @ 180 s, 400 W @ 1200 s; OmPD preferred when field MMP exists.

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