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Home  /  ANZCA Primary  /  Study notes  /  Blood gas interpretation, acid-base and the Henderson-Hasselbalch equation

Blood gas interpretation, acid-base and the Henderson-Hasselbalch equation

ANZCA Primary LO BT_PO 1.78 1,644 words
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Overview and Importance

Precise regulation of blood pH is essential for normal cellular enzyme function, protein structure, oxygen delivery, and cardiac conductivity. The normal arterial blood pH is 7.35-7.45, corresponding to a hydrogen ion concentration $[\text{H}^+]$ of approximately 35-45 nmol/L. Values outside the range of pH 6.8-7.8 are generally incompatible with life.

The carbonic acid-bicarbonate buffer system is the central framework for understanding acid-base regulation, and three major systems work in concert to maintain pH homeostasis:

  1. Chemical buffers (immediate, within seconds)
  2. Respiratory compensation (rapid, minutes to hours)
  3. Renal compensation (slower, hours to days, the only true corrective mechanism)

The Henderson-Hasselbalch Equation

The relationship between pH, $\text{PCO}_2$, and bicarbonate is described by the Henderson-Hasselbalch equation:

$$\text{pH} = \text{pK}_a + \log \frac{[\text{HCO}_3^-]}{[\text{dissolved CO}_2]}$$

Where dissolved $\text{CO}_2 = 0.0225 \times \text{PCO}_2$ (in mmHg), and $\text{pK}_a = 6.1$ for the carbonic acid system.

The key equilibrium reaction is:

$$\text{CO}_2 + \text{H}_2\text{O} \rightleftharpoons \text{H}_2\text{CO}_3 \rightleftharpoons \text{H}^+ + \text{HCO}_3^-$$

This equilibrium is catalysed by carbonic anhydrase in red blood cells, renal tubular cells, and other tissues. Perturbation of either $\text{PCO}_2$ (respiratory component) or $[\text{HCO}_3^-]$ (metabolic component) will shift pH accordingly.


Normal Values

Parameter Normal Range
Arterial pH 7.35-7.45
$\text{PCO}_2$ 35-45 mmHg
$[\text{HCO}_3^-]$ 22-26 mmol/L
Base excess −2 to +2 mmol/L
$[\text{H}^+]$ 35-45 nmol/L

Classification of Acid-Base Disturbances

Disturbances are classified by their origin and direction:

Disturbance Primary Change pH Direction
Respiratory acidosis ↑ $\text{PCO}_2$
Respiratory alkalosis ↓ $\text{PCO}_2$
Metabolic acidosis ↓ $[\text{HCO}_3^-]$
Metabolic alkalosis ↑ $[\text{HCO}_3^-]$

Respiratory Acidosis and Alkalosis

Respiratory Acidosis

Respiratory acidosis results from any process that causes retention of CO₂, elevating $\text{PCO}_2$ above 45 mmHg. The increased $\text{CO}_2$ drives the carbonic acid equilibrium to the right, increasing $[\text{H}^+]$ and lowering pH.

Common causes: hypoventilation, airway obstruction, respiratory muscle weakness, CNS depression (e.g. opioid overdose), severe lung disease.

Respiratory Alkalosis

Any short-term lowering of $\text{PCO}_2$ below 35 mmHg (as occurs with hyperventilation) results in respiratory alkalosis. Decreased $\text{CO}_2$ shifts the carbonic acid-bicarbonate equilibrium to effectively lower $[\text{H}^+]$ and raise pH.

Common causes: anxiety, pain, mechanical overventilation, altitude, pregnancy, hepatic failure.


Metabolic Acidosis and Alkalosis

Metabolic Acidosis

Metabolic (non-respiratory) acidosis occurs when strong acids are added to the blood by non-respiratory mechanisms. For example, in an aspirin overdose, acids in the blood rapidly increase. The $\text{H}_2\text{CO}_3$ formed is converted to $\text{H}_2\text{O}$ and $\text{CO}_2$, which is excreted via the lungs.

Key feature: In uncompensated metabolic acidosis, pH changes occur along a $\text{PCO}_2$ isobar line, unlike respiratory acidosis, there is no primary change in $\text{PCO}_2$.

Common causes: diabetic ketoacidosis, lactic acidosis, renal failure, ingestion of acids, diarrhoea (loss of $\text{HCO}_3^-$).

Metabolic Alkalosis

Metabolic alkalosis results when the free $[\text{H}^+]$ level falls due to:

In uncompensated metabolic alkalosis, pH rises along the $\text{PCO}_2$ isobar line.

Common causes: vomiting, nasogastric suction, diuretic use, exogenous bicarbonate administration, hyperaldosteronism.


Compensatory Mechanisms

Uncompensated acidosis and alkalosis are seldom seen in clinical practice because compensatory systems activate rapidly. The two main systems are respiratory compensation and renal compensation.

1. Respiratory Compensation (Fast, Minutes to Hours)

The respiratory system compensates for metabolic disturbances by altering alveolar ventilation, directly changing $\text{PCO}_2$ and thus blood pH.

Metabolic Disturbance Respiratory Response $\text{PCO}_2$ Change
Metabolic acidosis ↑ Ventilation (Kussmaul breathing) ↓ (e.g. 40 → 20 mmHg)
Metabolic alkalosis ↓ Ventilation

Mechanism: Peripheral and central chemoreceptors detect changes in $[\text{H}^+]$ and $\text{PCO}_2$, sending signals to the respiratory centre in the medulla to adjust minute ventilation.

Important point: Because respiratory compensation begins almost simultaneously with the onset of metabolic acidosis, the large two-step pH swings depicted on theoretical diagrams overstate what occurs in practice. The compensatory response is invoked immediately, blunting the magnitude of pH change.

Limitation: Respiratory compensation cannot fully correct metabolic disturbances. It returns pH towards, but not completely to, normal. Complete restoration requires renal compensation.

2. Renal Compensation (Slow, Hours to Days)

Renal mechanisms are invoked for complete compensation from both respiratory and metabolic disturbances. The kidney is the only system capable of generating new $\text{HCO}_3^-$ and excreting fixed (non-volatile) acids.

Renal Response to Acidosis

Renal tubule cells contain active carbonic anhydrase and can produce $\text{H}^+$ and $\text{HCO}_3^-$ from $\text{CO}_2$.

In response to acidosis:

This mechanism is responsible for the graphical shift from acute to chronic respiratory acidosis, as the kidney progressively raises plasma $[\text{HCO}_3^-]$ to buffer the elevated $\text{PCO}_2$.

Renal Response to Alkalosis

In response to alkalosis:

This accounts for the shift from acute to chronic respiratory alkalosis, where renal $\text{HCO}_3^-$ wasting lowers plasma bicarbonate and returns pH towards normal.

Condition Renal $\text{H}^+$ Secretion $\text{HCO}_3^-$ Reabsorption Net Blood Effect
Acidosis ↑ $[\text{HCO}_3^-]$, ↓ $[\text{H}^+]$
Alkalosis ↓ $[\text{HCO}_3^-]$, ↑ $[\text{H}^+]$

Acute vs Chronic Disturbances

The distinction between acute (uncompensated) and chronic (compensated) disturbances is clinically important:

State Example $\text{pH}$ $\text{PCO}_2$ $[\text{HCO}_3^-]$
Acute respiratory acidosis Apnoea ↓↓ Minimal ↑ (buffering only)
Chronic respiratory acidosis COPD Near normal ↑↑ (renal compensation)
Acute respiratory alkalosis Hyperventilation ↑↑ Minimal ↓
Chronic respiratory alkalosis Altitude Near normal ↓↓ (renal compensation)
Uncompensated metabolic acidosis DKA (acute) ↓↓ Normal
Compensated metabolic acidosis DKA (with resp comp) ↓ (slight)

Summary of Compensation Rules

The expected degree of compensation can be estimated using standard formulae (for examination purposes):

Disturbance Expected Compensation
Metabolic acidosis $\text{PCO}_2 = 1.5 \times [\text{HCO}_3^-] + 8 \pm 2$ (Winter's formula)
Metabolic alkalosis $\text{PCO}_2$ rises ~0.7 mmHg per 1 mmol/L rise in $[\text{HCO}_3^-]$
Acute respiratory acidosis $[\text{HCO}_3^-]$ rises ~1 mmol/L per 10 mmHg rise in $\text{PCO}_2$
Chronic respiratory acidosis $[\text{HCO}_3^-]$ rises ~3.5 mmol/L per 10 mmHg rise in $\text{PCO}_2$
Acute respiratory alkalosis $[\text{HCO}_3^-]$ falls ~2 mmol/L per 10 mmHg fall in $\text{PCO}_2$
Chronic respiratory alkalosis $[\text{HCO}_3^-]$ falls ~5 mmol/L per 10 mmHg fall in $\text{PCO}_2$

Davenport Diagram

The Davenport (or Siggaard-Andersen) diagram plots $[\text{HCO}_3^-]$ against pH with $\text{PCO}_2$ isobars, allowing graphical representation of all four primary disturbances and their compensations:


Clinical Relevance

Anaesthetic Implications

1. Respiratory control during anaesthesia

2. Permissive hypercapnia

3. Opioid-induced respiratory depression

4. Hyperventilation and cerebral blood flow

5. Metabolic acidosis in the perioperative setting

6. Metabolic alkalosis

7. Renal considerations

8. Carbonic anhydrase inhibitors

9. Interpretation of arterial blood gases

10. Temperature correction


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What is the normal arterial blood pH range?

7.35 – 7.45 (hydrogen ion concentration approximately 35–45 nmol/L)

What are the normal values for PaCO₂, HCO₃⁻, and base excess in arterial blood?

PaCO₂: 35–45 mmHg; HCO₃⁻: 22–26 mmol/L; Base excess: −2 to +2 mmol/L

State the Henderson-Hasselbalch equation for the bicarbonate buffer system and identify its clinical utility.

pH = 6.1 + log([HCO₃⁻] / (0.03 × PaCO₂)) Allows calculation of pH from two measurable variables; reveals that pH is determined by the ratio of HCO₃⁻ (kidney-regulated) to PaCO₂ (lung-regulated). Normal ratio ≈ 20:1.

List the three main buffer systems involved in acid-base regulation and their relative contributions.
  • Bicarbonate/CO₂ system: ~53% of blood buffering; open system, physiologically regulated
  • Haemoglobin: ~35% of blood buffering; major intracellular buffer in red cells
  • Plasma proteins: ~7% of blood buffering; includes albumin with histidine residues
  • Phosphate (HPO₄²⁻/H₂PO₄⁻): minor role in blood, major role in renal tubular buffering and intracellular fluid
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