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Carriage of oxygen and the oxyhaemoglobin dissociation curve

● ANZCA Primary LO BT_PO 1.31 1,627 words
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Overview of Oxygen Carriage in Blood

Dissolved Oxygen

Oxygen dissolves in plasma obeying Henry's Law, the amount dissolved is directly proportional to the partial pressure of oxygen ($P_{O_2}$).

$$\text{Dissolved } O_2 = 0.003 \text{ mL} \cdot 100\text{mL}^{-1} \cdot \text{mmHg}^{-1}$$

At a normal arterial $P_{O_2}$ of 100 mmHg (13.3 kPa):

$$\text{Dissolved } O_2 = 0.003 \times 100 = 0.3 \text{ mL} \cdot 100\text{mL}^{-1}$$

Oxygen Bound to Haemoglobin

Form Arterial Blood Venous Blood
Dissolved $O_2$ 0.3 mL·dL⁻¹ ~0.12 mL·dL⁻¹
Haemoglobin-bound $O_2$ ~20 mL·dL⁻¹ ~15 mL·dL⁻¹
Total ~20.3 mL·dL⁻¹ ~15.1 mL·dL⁻¹

Haemoglobin Structure and Types

Haemoglobin S (HbS) has valine substituted for glutamic acid in the β-chains, producing the pathological sickle cell form.


The Oxyhaemoglobin Dissociation Curve

Shape and Mechanism

Key Points on the Curve

Point $S_{O_2}$ $P_{O_2}$
Arterial point 100% 13.3 kPa (100 mmHg)
Mixed venous point 75% 5.3 kPa (40 mmHg)
$P_{50}$ 50% 3.5 kPa (26.3 mmHg)

Mathematical Description

The simplified Kelman equation describes the curve at $P_{O_2}$ values >4 kPa:

$$S_{O_2} = \frac{P_{O_2}^3 + 2.667 \cdot P_{O_2}^2 + 2.667 \cdot P_{O_2}}{P_{O_2}^3 + 2.667 \cdot P_{O_2}^2 + 2.667 \cdot P_{O_2} + 55.47} \times 100$$

This equation (with $P_{O_2}$ in kPa) is automatically computed by modern blood gas analysers.


Factors Affecting the Oxyhaemoglobin Dissociation Curve

Factor Left Shift (↑ affinity, ↓ P₅₀) Right Shift (↓ affinity, ↑ P₅₀)
Temperature ↓ Temperature ↑ Temperature
pH ↑ pH (alkalosis) ↓ pH (acidosis), Bohr effect
$P_{CO_2}$ ↓ $P_{CO_2}$ ↑ $P_{CO_2}$, Bohr effect
2,3-DPG ↓ 2,3-DPG ↑ 2,3-DPG
Haemoglobin type HbF, COHb HbS (mild)

The Bohr Effect

2,3-Diphosphoglycerate (2,3-DPG)

2,3-DPG is produced in red blood cells (RBCs) during glycolysis and binds to deoxyhaemoglobin, stabilising the low-affinity (tense) conformation and causing a right shift.


Oxygen Stores in Blood

Quantitative Summary

Compartment Approximate Store
Haemoglobin-bound $O_2$ (arterial) ~20 mL·dL⁻¹
Haemoglobin-bound $O_2$ (venous) ~15 mL·dL⁻¹
Dissolved $O_2$ (arterial) ~0.3 mL·dL⁻¹

Oxygen Delivery and Consumption

$$\dot{D}O_2 = CO \times CaO_2$$

$$\dot{D}O_2 = CO \times \left([Hb] \times 1.39 \times S_aO_2 + 0.003 \times P_aO_2\right)$$


Abnormal Haemoglobin Forms

Carboxyhaemoglobin (COHb)

Carbon monoxide binds haemoglobin with approximately 300 times greater affinity than oxygen. The consequences are twofold:

  1. Direct reduction of oxygen-carrying capacity, 20% COHb reduces blood $O_2$ content by ~20%
  2. COHb causes a left shift of the dissociation curve of remaining oxyhaemoglobin (partly via reduced 2,3-DPG), impairing $O_2$ offloading to tissues

This is in stark contrast to anaemia, where P₅₀ is increased (right shift), partially compensating for reduced carrying capacity by enhancing tissue oxygen unloading.

Carboxyhaemoglobin dissociates extremely slowly compared with oxyhaemoglobin.

Methaemoglobin (MetHb)

When haem iron is oxidised from Fe²⁺ to Fe³⁺, it cannot bind oxygen. Normal physiological metHb reductase systems exist:

System Contribution
NADH-metHb reductase (via glycolysis) >2/3 of reducing activity, most important
Ascorbic acid (direct chemical reduction) Minor, slow
Glutathione-based enzymes Small
NADPH-dehydrogenase (pentose phosphate pathway) Reserve, almost no effect physiologically

MetHb causes a left shift of the dissociation curve of remaining functional haemoglobin, further impairing tissue oxygenation.

Foetal Haemoglobin (HbF)


Myoglobin


Clinical Relevance

Pulse Oximetry Limitations

Pulse oximetry cannot distinguish oxyhaemoglobin from carboxyhaemoglobin, $S_{pO_2}$ may read falsely normal in CO poisoning.

Pre-oxygenation Before Induction

Anaemia and Transfusion Triggers

Anaemia reduces $O_2$ delivery in direct proportion to haemoglobin concentration. Compensatory mechanisms include:

Carbon Monoxide Poisoning

Left Shift in Clinical Settings

Hypothermia, alkalosis, and stored blood (which is depleted of 2,3-DPG) all cause left shifts, reducing $O_2$ offloading to tissues. This is relevant in:

Aerobic vs Anaerobic Metabolism

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What is the normal total oxygen content of arterial blood (CaO₂) in a healthy adult?

Approximately 20 mL O₂ per 100 mL blood (20 mL·dL⁻¹), of which ~19.7 mL is bound to haemoglobin and ~0.3 mL is dissolved in plasma.

Write the equation for oxygen content of blood (CaO₂).

CaO₂ = (Hb × 1.34 × SaO₂) + (PaO₂ × 0.023)

Where:

  • Hb = haemoglobin concentration (g·dL⁻¹)
  • 1.34 = Hüfner's constant (mL O₂ per gram Hb at full saturation)
  • SaO₂ = arterial oxygen saturation (as a fraction)
  • 0.023 mL O₂ per 100 mL per kPa (or 0.003 per mmHg) = solubility coefficient for O₂ in plasma
What is Hüfner's constant and what does it represent?

Hüfner's constant is 1.34 mL O₂ per gram of haemoglobin. It represents the maximum volume of oxygen that can be carried by 1 gram of fully saturated haemoglobin. The theoretical maximum is 1.39 mL/g, but the clinical value of 1.34 accounts for a small proportion of haemoglobin that is unavailable for oxygen binding (e.g., methaemoglobin).

What is the P₅₀ of normal adult haemoglobin, and what does it signify?

The P₅₀ is approximately 3.5 kPa (26-27 mmHg). It is the partial pressure of oxygen at which haemoglobin is 50% saturated, and is used as a standard measure of haemoglobin's affinity for oxygen. A higher P₅₀ indicates lower affinity (right shift); a lower P₅₀ indicates higher affinity (left shift).

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