Oxygen travels from the atmosphere to a mitochondrion by two different mechanisms used in
alternation: bulk flow where distances are large, and diffusion where they are small. The
whole journey is downhill in partial pressure, and identifying where each mechanism takes
over is the key to the account.
Bulk flow into the lungs. The diaphragm and external intercostals
contract, increasing thoracic volume. The pleural fluid holds the lungs against the chest
wall so they expand with it, and by Boyle's law the pressure of the air inside them falls
below atmospheric. Air flows in down that pressure difference, which is bulk flow: the
whole gas mixture moves together. It passes nose, pharynx, larynx, trachea, bronchi and
bronchioles, being warmed, humidified and filtered on the way.
Where the mechanism changes. Bulk flow stops at the terminal bronchioles.
Beyond that point the airways are so numerous that the total cross-sectional area is
enormous and the velocity of the air falls essentially to zero. From there to the alveolus
the gas moves by diffusion. This is why the conducting zone's 150 milliliters is dead
space and why the transition matters.
Why alveolar oxygen is 104 and not 160. Document 1 shows inspired air at
160 mmHg and alveolar air at 104. Two things account for the drop. Inspired air is
humidified, and the added water vapor contributes its own partial pressure, reducing
everything else proportionally. And alveolar air is not replaced completely with each
breath: a 500 milliliter tidal volume, of which 350 reaches the alveoli, mixes into a
functional residual capacity of about 2,400 milliliters. Alveolar composition is therefore
buffered and stable, which is an advantage, since it means arterial gas levels do not
swing with each breath.
Diffusion across the respiratory membrane. Alveolar oxygen is at 104
mmHg and blood arriving from the body is at 40, so there is a gradient of 64 mmHg driving
oxygen into the blood. It crosses the alveolar epithelium, the fused basement membranes
and the capillary endothelium, a total of about half a micrometer, and the area available
is about 70 square meters. Large area and short distance are exactly what Fick's
relationship requires, and the blood leaves equilibrated at 104 mmHg.
Loading onto hemoglobin. Oxygen is barely soluble in plasma, so only
about 1.5 percent travels dissolved. The rest binds the iron of the four heme groups of
each hemoglobin molecule, four oxygen molecules per hemoglobin, roughly 250 million
hemoglobins per red cell. Document 2 shows that at 100 mmHg saturation is 98 percent,
and at 80 it is still 95 percent. That flat upper region is a safety margin: loading is
nearly complete and is robust against a substantial fall in alveolar oxygen.
Bulk flow to the muscle. The blood returns via pulmonary veins to the
left atrium, through the bicuspid valve to the left ventricle, out through the aortic
semilunar valve into the aorta. Arterial oxygen is 100 rather than 104 because a small
amount of blood from the bronchial circulation drains into the pulmonary veins without
having been oxygenated. The blood travels by bulk flow, driven by the pressure the left
ventricle generates, through progressively smaller arteries to the arterioles supplying
the calf.
Local control at the arteriole. Working muscle releases metabolites that
dilate its own arterioles, and sympathetic activity dilates the vessels supplying skeletal
muscle while constricting those supplying gut and skin. Blood flow to this muscle
therefore increases substantially, delivering more oxygen per minute without any change in
the concentration carried.
Unloading, and the quantitative core of the answer. Document 1 gives a
working muscle cell at an oxygen partial pressure of 20 mmHg. On the normal curve,
document 2 shows that hemoglobin at 20 mmHg is 35 percent saturated, so blood arriving at
98 percent has released 63 percent of its load. But the working muscle is producing carbon
dioxide at 50 mmHg, has lowered its local pH and has raised its temperature, and all three
shift the curve right. On the shifted column, saturation at 20 mmHg is 22 percent, so the
blood has released 76 percent of its load rather than 63 percent. The shift alone delivers
an extra 13 percentage points of the total carried, at the same local oxygen partial
pressure.
Why the shift is elegant. The three factors that cause it, carbon
dioxide, acidity and heat, are the direct byproducts of the activity that created the
demand. Nothing measures the muscle's workload and nothing sends a signal. The waste
products act directly on the carrier molecule, so delivery is matched to demand locally,
instantly, and in proportion. An adjacent resting muscle produces none of these and
receives no such boost.
The last two steps to the mitochondrion. Oxygen released from hemoglobin
dissolves in plasma, diffuses across the capillary endothelium into interstitial fluid,
and then across the muscle fiber's sarcolemma, at every stage down a partial pressure
gradient. Inside the fiber, myoglobin binds oxygen with higher affinity than hemoglobin,
which keeps the intracellular partial pressure low and therefore maintains the inward
gradient, as well as providing a small local store. Finally oxygen diffuses into the
mitochondrion and to the inner membrane.
What oxygen does there. It is the final electron acceptor of the
electron transport chain, combining with electrons and hydrogen ions to form water. This
is why oxygen is required: the chain only runs if something removes the electrons from the
end of it. Without oxygen the chain backs up within seconds, the citric acid cycle that
feeds it stops, and only the small anaerobic yield of glycolysis remains. Oxygen
participates in exactly one step and the whole of aerobic metabolism depends on it.
Now the carbon dioxide, which is the more chemically interesting half.
Oxidizing fuel in the mitochondrion produces carbon dioxide, raising its partial pressure
inside the working muscle cell to 50 mmHg against 40 in arterial blood. It diffuses out
down that gradient into the capillary. From here it travels three ways.
Route one, dissolved, about 7 percent. Carbon dioxide is about twenty
times more soluble in plasma than oxygen, so a meaningful fraction simply dissolves. This
is why carbon dioxide does not need a dedicated carrier in the way oxygen does.
Route two, bound to hemoglobin, about 23 percent. It binds to the amino
groups of the globin protein chains, forming carbaminohemoglobin. It does not bind the
iron, which is why oxygen and carbon dioxide can be carried simultaneously. Hemoglobin
that has released its oxygen binds carbon dioxide more readily, so unloading oxygen at the
tissue directly assists carbon dioxide pickup.
Route three, as bicarbonate, about 70 percent. Carbon dioxide diffuses
into the red blood cell, where the enzyme carbonic anhydrase catalyzes its reaction with
water: CO2 + H2O ⇌ H2CO3 ⇌ H+ +
HCO3-. The bicarbonate leaves the cell for the plasma and a chloride
ion enters to maintain electrical neutrality, which is the chloride shift. The hydrogen
ions are taken up by hemoglobin, which is better able to bind them now that it has given
up its oxygen, so the blood does not become acidic.
Two mechanisms assisting each other. Oxygen release makes hemoglobin a
better carbon dioxide carrier and a better buffer for the hydrogen ions the conversion
produces, while the rising carbon dioxide and falling pH shift the curve and increase
oxygen release. Each gas improves the handling of the other, at exactly the place where
both are needed.
Return and elimination. Blood returns by bulk flow through venules and
veins to the venae cavae, aided by the skeletal muscle pump and the respiratory pump, into
the right atrium, through the tricuspid valve, the right ventricle and the pulmonary
semilunar valve, into the pulmonary arteries and to the lungs. At the alveolus the
gradient reverses: blood carbon dioxide is 45 mmHg against 40 in alveolar air, so it
diffuses out. Removing it pulls the carbonic anhydrase reaction backwards: bicarbonate
re-enters the red cell, recombines with hydrogen ions to form carbonic acid, and is
converted back to carbon dioxide and water. The chloride shift reverses too.
The final step. Expiration is passive at rest: the inspiratory muscles
relax, elastic recoil reduces thoracic volume, intrapulmonary pressure rises above
atmospheric, and the gas leaves by bulk flow. During exercise it becomes active, with
internal intercostals and abdominal muscles forcing it out faster.
Closing the loop. The carbon dioxide level in arterial blood is itself
what determines the rate of breathing. It crosses the blood-brain barrier into the
cerebrospinal fluid, forms carbonic acid, lowers the fluid's pH, and central
chemoreceptors in the medulla detect that fall and increase ventilation. The waste product
of the process controls the process that removes it, which is negative feedback, and it
means the entire journey described here is regulated by its own end product rather than by
the oxygen it delivers.
Check it against the frame. The phenomenon named first, then every scale transition made explicit with a mechanism saying how one level produces the next, figures quoted rather than gestured at, and no language suggesting anything happened in order to achieve an outcome.