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The "Benumof Graph": Whose Curve Is It, Really?

Apneic hemoglobin desaturation across patient types — and the two different 1990s papers this one famous graph actually splices together.

Verdict on the source post: every number in the post is accurate. The one thing worth knowing before you cite this as "the Benumof graph" in a teaching slide: the desaturation curves themselves are not from Benumof's paper at all — they're from a separate 1996 model by Farmery and Roe. Benumof's own 1997 paper says so explicitly, in its own figure legend.
01

The Setup

This graph is really two papers, one year apart, stitched into a single teaching image — and only one of them is actually Benumof's.

Farmery AD, Roe PG. "A model to describe the rate of oxyhaemoglobin desaturation during apnoea." Br J Anaesth. 1996;76(2):284–291. This paper built a mathematical model of SaO2 vs. apnea duration, accounting for alveolar oxygen flux, shunt fraction, circulation time, and the Bohr shift, and used it to generate the four population curves shown here (healthy adult, child, obese adult, moderately ill adult).

Benumof JL, Dagg R, Benumof R. "Critical hemoglobin desaturation will occur before return to an unparalyzed state following 1 mg/kg intravenous succinylcholine." Anesthesiology. 1997;87(4):979–982. This is where the composite figure actually first appeared — Benumof's team took Farmery & Roe's desaturation curves and overlaid their own pooled succinylcholine-recovery data on top, to make the paper's central point: full paralysis from 1 mg/kg succinylcholine outlasts safe apnea time in a healthy adult. Benumof's own figure legend is explicit about this: "The SaO2 versus time curves were produced by the computer apnea model of [Farmery and Roe]."

So why does everyone call it "the Benumof graph"?

Because Benumof's paper is where this specific combined image was published and popularized — it's the figure clinicians actually encountered and started screenshotting. The name stuck to the composite, not to the correct attribution of each half. Worth knowing the difference if you're citing this for something more formal than a social post: the desaturation physiology is Farmery & Roe's model; the succinylcholine recovery-time data is Benumof's own contribution.

02

The Desaturation Curves, Confirmed

Farmery & Roe's model, at the same FAO2 the post cites.

At an initial fractional alveolar oxygen concentration (FAO2) of 0.87 — the number shown at the top of the graph — the model's healthy 70 kg adult curve reaches 60% SaO2 at 9.9 minutes of apnea. Drop that same patient's preoxygenation to room air (FAO2 0.13) and the same 60% threshold arrives at 2.8 minutes — the physiologic basis for why thorough preoxygenation, not just "some" preoxygenation, is what buys real apnea time.

Population (at FAO2 = 0.87)Relative desaturation speedWhy
Normal 70 kg adultSlowestBaseline reference curve
Moderately ill 70 kg adultFaster than healthy adultReduced FRC and/or increased shunt fraction from underlying illness
Normal 10 kg childFaster stillHigher metabolic rate relative to FRC — children consume oxygen faster per kilogram of reserve
Obese 127 kg adultFastestIncreased body mass and oxygen consumption combined with a mechanically reduced FRC
03

The Succinylcholine Recovery Data, Confirmed

Benumof's own contribution — and the numbers check out exactly.

Pooled from 6 prior studies, as reported in Benumof et al., 1997

Mean time to recovery of control single-twitch height following 1 mg/kg (or 40 mg/m²) IV succinylcholine: 6.8 minutes to 10% recovery, 8.5 minutes to 50% recovery, 10.2 minutes to 90% recovery — matching the post's "6.8–10.2 minutes" range exactly.

This is the entire clinical argument of the 1997 paper in one image: overlay the succinylcholine recovery timeline onto the healthy-adult desaturation curve, and full neuromuscular recovery (10% twitch height at 6.8 min) still arrives well after a healthy adult has already crossed critical desaturation thresholds if ventilation hasn't been reestablished. The paralysis reliably outlasts the safe apnea window — which is the paper's argument for why "the patient will just wake up and breathe" is not a valid failed-airway backup plan.

04

Why This Distinction Actually Matters

05

Bottom Line

Every number in the source post is accurate, and the clinical takeaways it draws — children and obese patients desaturate faster, succinylcholine paralysis outlasts safe apnea time in a healthy adult — are exactly right. The only correction worth filing away is attribution: this is a composite of two separate papers, and only the succinylcholine recovery-time overlay is actually Benumof's own data. The desaturation curves themselves belong to Farmery and Roe.

06

Sources