Rosalind Lovelace

The Physics of Healing

IX · High Altitude

The Air Keeps Its Oxygen and Loses Its Push

Altitude, muscle extraction, and the long supply chain behind one breath.

The air thins

The air keeps its oxygen and loses its push.

At sea level, O₂ makes up about one fifth of dry air. Climb a mountain and that fraction barely changes. Nitrogen does not steal O₂ from the sky. The whole atmosphere thins. Barometric pressure falls, so every gas contributes less partial pressure.

Air pressure falls roughly exponentially with height:

P(z)=P₀e−Mgz/RT

Real temperature changes complicate the curve, but pressure does not fall by one fixed number per kilometre.1,2

Inspired O₂ pressure is the O₂ fraction multiplied by dry-gas pressure. Humidification in the airways takes its share:

PIO₂=FIO₂(PB−PH₂O)

The alveolar gas equation subtracts a term for carbon dioxide. Hyperventilation lowers alveolar carbon dioxide and helps preserve alveolar O₂. Breathing therefore rises within minutes of ascent.1

The cascade spends pressure

O₂ must pass through outside air, humidified airways, alveoli, blood, circulation, capillaries, tissue, and mitochondria. Each step spends pressure. At altitude the cascade begins lower.

Pressure

Drives diffusion from air toward blood and tissue.

Content

Depends mainly on haemoglobin concentration and saturation.

Flow

Cardiac output carries O₂ content to the body.

Pulse oximetry measures the percentage of haemoglobin binding sites occupied by O₂. It does not directly measure partial pressure, haemoglobin amount, blood flow, or tissue extraction. Two people can share a saturation and carry different O₂ content.

The Fick equation can be rearranged but not cheated. If arterial content falls, O₂ use can be supported by more flow, more extraction, or less demand. Each response has limits.

A number at the end of the chain cannot tell you which link set the limit.

Acclimatization has many clocks

Ventilation changes over hours and days. Renal bicarbonate loss helps sustain hyperventilation. Erythropoietin rises early; new red-cell mass takes longer. Vascular and metabolic signals also change. Acclimatization is a stack of time constants, not one switch.3

Martin and colleagues measured five healthy people at sea level and after a week at 4,559 m. Resting arterial saturation fell from a median 97.9% to 87.1%. Peak O₂ uptake and work fell. Absolute arteriovenous O₂ difference at peak exercise fell, while extraction ratio did not change significantly.4

The result resists a simple story in which tissue always compensates by extracting more. Diffusion distance, capillary transit, blood distribution, mitochondrial demand, and achieved work can all enter.

Light into muscle

Near-infrared spectroscopy shines light into tissue and estimates changes in oxygenated and deoxygenated haemoglobin. Diffuse correlation spectroscopy can add a microvascular-flow index. Together they can estimate relative extraction and consumption.

These are local optical measures. Light crosses skin and fat before sampling part of a muscle. Adipose thickness, probe placement, movement, optical path, and analysis matter. Tissue saturation is not arterial pulse-oximeter saturation.

Shang and colleagues studied 14 postmenopausal women with fibromyalgia and 23 controls. Most flow and metabolic patterns were similar. During fatiguing knee exercise, relative extraction was lower in the fibromyalgia group. O₂ recovery after exercise and cuff occlusion was slower, while blood-flow recovery did not differ.5

The sample was small, some optical data were lost, and motion prevented clean measurement during contraction. The work suggests altered utilization under those tasks; it does not prove mitochondrial disease.

Flow and extraction

Lehto and colleagues used breath-by-breath gas analysis and impedance cardiography in 35 women with fibromyalgia and 23 controls. Peak O₂ uptake was 22.2 versus 31.1 mL·min⁻¹·kg⁻¹. Peak cardiac output and calculated arteriovenous difference were also lower.6

Yet slopes linking O₂ uptake to work and cardiac output to uptake were similar. Resting lactate and pyruvate were similar. Submaximal responses were largely alike, and pulse-oximeter saturation stayed normal through exercise.6

The authors concluded that flow and extraction contributed to lower peak uptake, but the pattern did not suggest primary muscle-metabolism disease. Lower moderate-to-heavy activity was a plausible contributor.

Evidence boundary: A lower peak arteriovenous difference can reflect extraction capacity, blood distribution, recruited muscle mass, workload, effort, or training state. A calculated difference is not a muscle biopsy.

Normal pulse oximetry does not prove that every muscle extracts O₂ normally. The finger sits upstream. Local tissue use can differ while it reads 97%.

Name the link

The high-altitude analogy works at the level of transport accounting. Altitude lowers the cascade at its entrance. Fibromyalgia studies probe possible differences farther downstream during selected tasks. Entrance pressure, blood content, flow, extraction, and cellular demand must not be folded into one word called oxygenation.

Fatigue does not prove O₂ starvation. Fatigue has neural, muscular, autonomic, sleep, mood, medication, and activity influences. An optical curve contributes evidence; it cannot become the whole symptom.

Above the last trees, the sky looks impossibly full. The gauge says otherwise. Blue is not pressure.

References

  1. Peacock AJ. Oxygen at high altitude. British Medical Journal. 1998;317(7165):1063–1066. doi:10.1136/bmj.317.7165.1063. Full text
  2. Grocott MPW, Montgomery HE, Vercueil A. High-altitude physiology and pathophysiology. Critical Care. 2007;11:203. doi:10.1186/cc5142. Full text
  3. Mallet RT, Burtscher J, Pialoux V, et al. Molecular mechanisms of high-altitude acclimatization. International Journal of Molecular Sciences. 2023;24:1698. Full text
  4. Martin DS, Cobb A, Meale P, et al. Systemic oxygen extraction during exercise at high altitude. British Journal of Anaesthesia. 2015;114(4):677–682. doi:10.1093/bja/aeu404. Full text
  5. Shang Y, Gurley K, Symons B, et al. Noninvasive optical characterization of muscle blood flow, oxygenation, and metabolism in women with fibromyalgia. Arthritis Research & Therapy. 2012;14:R236. doi:10.1186/ar4079. Full text
  6. Lehto T, Zetterman T, Markkula R, et al. Cardiac output and arteriovenous oxygen difference contribute to lower peak oxygen uptake in patients with fibromyalgia. BMC Musculoskeletal Disorders. 2023;24:541. doi:10.1186/s12891-023-06589-2. Full text