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Oxygen Flux (Oxygen Delivery - DO₂) in Anaesthesia
Definition
Oxygen flux is synonymous with oxygen delivery (DO₂) - defined as the total amount of oxygen transported to the peripheral tissues per unit time by the cardiovascular system. It represents the supply side of the oxygen supply-demand equation and is the product of cardiac output and arterial oxygen content.
"Oxygen delivery, the rate at which oxygen is transported to the microcirculation, is the product of cardiac output and CaO₂ and is normally about 1,000 mL/min." - Mulholland & Greenfield's Surgery, 7e
Derivation of the DO₂ Formula
Step 1: Arterial Oxygen Content (CaO₂)
Oxygen is carried in blood in two forms:
- Bound to haemoglobin (Hb) - the dominant form
- Dissolved in plasma - minor but important at high PaO₂
$$\boxed{CaO_2 = (1.34 \times Hb \times SaO_2) + (0.003 \times PaO_2)}$$
Where:
- 1.34 mL/g = Hüfner's constant (oxygen-carrying capacity of 1 g of Hb; some texts use 1.36 or 1.39)
- Hb = haemoglobin concentration (g/dL)
- SaO₂ = arterial oxygen saturation (fraction)
- 0.003 = solubility coefficient of O₂ in plasma (mL/dL/mmHg)
- PaO₂ = partial pressure of O₂ in arterial blood (mmHg)
Normal CaO₂ ≈ 17-20 mL/dL (approximately 20 mL/dL)
Step 2: Oxygen Delivery (DO₂ / Oxygen Flux)
$$\boxed{DO_2 = CO \times CaO_2 \times 10}$$
Or expanded:
$$\boxed{DO_2 = CO \times [(1.34 \times Hb \times SaO_2) + (0.003 \times PaO_2)] \times 10}$$
Where:
- CO = cardiac output (L/min) = HR × SV
- ×10 = unit conversion factor (dL to mL)
Normal DO₂ ≈ 950-1,150 mL/min (conventionally ~1,000 mL/min)
Normal Values Table
(From Mulholland & Greenfield's Surgery, 7e - Table 10.1)
| Parameter | Equation | Normal Range | Units |
|---|
| Oxygen Delivery (DO₂) | CO × CaO₂ × 10 | 950-1,150 | mL/min |
| Arterial O₂ Content (CaO₂) | (SaO₂ × 1.38 × Hb) + (0.003 × PaO₂) | 17-20 | mL/dL |
| Oxygen Consumption (VO₂) | CO × (CaO₂ - CvO₂) × 10 | 200-250 | mL/min |
| Oxygen Extraction Ratio (OER) | VO₂/DO₂ × 100 | 22-30 | % |
| Mixed Venous SaO₂ (SvO₂) | (1 - VO₂/DO₂) × 100 | 60-80 | % |
| Cardiac Output (CO) | HR × SV/1000 | 4-8 | L/min |
Oxygen Consumption (VO₂) - The Demand Side
$$\boxed{VO_2 = CO \times (CaO_2 - CvO_2) \times 10}$$
Or: VO₂ = DO₂ × O₂ Extraction Ratio
- This is the Fick principle - the amount of O₂ consumed equals the difference between O₂ delivered and O₂ returned in venous blood
- Normal VO₂ ≈ 200-250 mL/min at rest
- In children: VO₂ ≈ 175 mL/min/m² (Miller's Anesthesia, 10e)
- Normal arteriovenous O₂ difference (a-vDO₂) = 4-6 mL/100 mL blood
Oxygen Extraction Ratio (OER / O₂ER)
$$\boxed{OER = \frac{VO_2}{DO_2} = \frac{CaO_2 - CvO_2}{CaO_2}}$$
- Normal OER = 22-30% (body normally extracts only ~25% of delivered O₂)
- Myocardium has the highest extraction ratio at ~75% - hence the heart is most vulnerable to reductions in DO₂
- Organs with high supply-to-demand ratios (kidney, skin, intestine) can increase extraction when DO₂ falls
DO₂-VO₂ Relationship: The Biphasic Curve (Critical Concept)
The relationship between oxygen delivery and consumption is biphasic:
1. Flow-Independent Zone (Physiological Range)
- VO₂ remains constant over a wide range of DO₂
- As DO₂ falls, compensatory increase in OER maintains VO₂
- Body uses compensatory mechanisms: increased HR, increased stroke volume, redistribution of blood flow
2. Critical DO₂ (DO₂ crit) - The Inflection Point
- The threshold below which VO₂ becomes dependent on DO₂
- In euvolemic adults with normal cardiac function: Critical DO₂ requires Hb ≥ 3-3.5 g/dL (Barash's Clinical Anaesthesia, 9e)
- Below this point: anaerobic metabolism begins, lactic acidosis develops
- "The level of oxygen delivery at which oxygen consumption begins to decrease is called critical oxygen delivery. At the critical oxygen delivery level, tissues begin to use anaerobic glycolysis, with resultant lactate production and metabolic acidosis." (Creasy & Resnik's Maternal-Fetal Medicine)
3. Flow-Dependent Zone (Pathological)
- VO₂ falls proportionally with DO₂
- Seen in: hemorrhagic shock, cardiogenic shock, severe anemia
- Lactic acidosis is the biochemical hallmark
State-Specific Changes (from Sabiston, Fig. 33.9):
| State | DO₂-VO₂ Relationship |
|---|
| Normal | VO₂ independent over wide range; plateau at ~250 mL/min |
| Sepsis | VO₂ appears supply-dependent at higher DO₂ levels (pathological O₂ supply dependency) |
| Hyperdynamic (recovery) | Elevated VO₂ - paying back "oxygen debt" incurred during ischemia |
Mixed Venous Oxygen Saturation (SvO₂)
Rearranging the Fick equation (Miller's Anesthesia, 10e):
$$\boxed{SvO_2 = SaO_2 - \frac{VO_2}{CO \times 1.36 \times Hb}}$$
- Measured from pulmonary artery via PA catheter (true mixed venous sample from SVC + IVC + coronary sinus)
- Normal SvO₂: 60-80% (pulmonary artery)
- Normal ScvO₂: 65-85% (central venous - superior vena cava; slightly higher than SvO₂)
- Monitored continuously via reflectance oximetry (fiberoptic PAC)
Four Causes of Low SvO₂ (Fick Equation Analysis):
| Cause | Mechanism | Examples |
|---|
| ↓ SaO₂ | Reduced arterial saturation | Hypoxemia, V/Q mismatch |
| ↓ Hb | Reduced O₂-carrying capacity | Anemia, hemorrhage |
| ↓ CO | Reduced cardiac output | Cardiogenic shock, hypovolemia |
| ↑ VO₂ | Increased O₂ consumption | Fever, shivering, seizures, hyperthyroidism |
High SvO₂ (>80%):
- Septic shock (shunting of blood past tissues - reduced extraction)
- Cyanide/carbon monoxide poisoning (inability to utilize O₂)
- Hypothermia (reduced metabolic demand)
- Cirrhosis, hyperdynamic states
Determinants of DO₂ and How to Optimize Each
$$DO_2 = \underbrace{HR \times SV}{\text{CO}} \times \underbrace{[(1.34 \times Hb \times SaO_2) + (0.003 \times PaO_2)]}{\text{CaO}_2} \times 10$$
| Determinant | Way to Increase |
|---|
| Heart Rate | Treat bradycardia (atropine, pacing) |
| Stroke Volume | Optimize preload (fluids), reduce afterload (vasodilators), improve contractility (inotropes) |
| Haemoglobin | Blood transfusion, erythropoietin |
| SaO₂ | Supplemental O₂, PEEP, treat respiratory disease |
| PaO₂ | FiO₂ increase (minor contributor at normal Hb) |
"DO2 = CO × CaO₂; CO = HR × SV; CaO₂ = (Hb × 1.34 × SaO₂) + (0.003 × PaO₂). Commonly used ways of assessing both inadequate oxygen delivery and the response to treatment include SvO₂." - Scott-Brown's Otorhinolaryngology, Vol 1
Index Values (per m² Body Surface Area)
For comparison between patients of different sizes:
| Parameter | Indexed Value | Normal |
|---|
| DO₂I | DO₂/BSA | 520-570 mL/min/m² |
| VO₂I | VO₂/BSA | 110-160 mL/min/m² |
| Cardiac Index (CI) | CO/BSA | 2.5-4.0 L/min/m² |
Anaesthetic Implications
Intraoperative Effects on DO₂:
- General anaesthesia reduces CO by 10-20% (reduced preload, myocardial depression, vasodilation) → reduced DO₂
- Positive pressure ventilation reduces venous return and CO → reduces DO₂
- Volatile anaesthetics (halothane > isoflurane) reduce myocardial contractility → reduces CO
- Haemorrhage / blood loss → reduces Hb and CO → critical reduction in DO₂
- Hypothermia → reduces VO₂ (protective in cardiac/neuro surgery) but also reduces CO
- Vasopressors (noradrenaline) → increase afterload and MAP but may reduce CO at high doses
Clinical Monitoring of DO₂ Adequacy:
- SvO₂ monitoring via PAC (target >70%) - used in goal-directed therapy protocols (ERAS)
- ScvO₂ via central venous catheter (target >70%)
- Lactate - best surrogate for anaerobic metabolism (target <2 mmol/L)
- Base deficit on ABG
- NIRS (near-infrared spectroscopy) - regional cerebral/tissue oxygenation
- Urine output (>0.5 mL/kg/hr)
Transfusion Trigger (Barash's Clinical Anaesthesia, 9e):
- Stable, non-bleeding, euvolemic patients may tolerate Hb 6.0 g/dL
- Transfusion of some benefit between Hb 6-8 g/dL
- Rarely beneficial above Hb 10 g/dL
- Critical DO₂ requires minimum Hb 3-3.5 g/dL in normal cardiac function
Oxygen Debt and Shoemaker's Supranormalization
In 1980s, William Shoemaker showed that optimizing DO₂ beyond normal (supranormalization) improved outcome in high-risk surgical patients by repaying "oxygen debt" accumulated during shock. The DO₂ target was CO-driven optimization until VO₂ reached the flow-independent plateau (Sabiston Textbook of Surgery, 21e). This concept underpins modern goal-directed fluid therapy (GDFT) used in ERAS protocols.
Summary Points for AIIMS Exam
- DO₂ = CO × CaO₂ × 10 = normal ~1000 mL/min
- CaO₂ = (1.34 × Hb × SaO₂) + (0.003 × PaO₂) = normal ~20 mL/dL
- VO₂ = CO × (CaO₂ - CvO₂) × 10 = normal ~250 mL/min
- OER = VO₂/DO₂ = normal 22-30%; myocardium ~75%
- SvO₂ = 60-80% (PA); ScvO₂ = 65-85% (SVC)
- Critical DO₂ = threshold below which VO₂ becomes delivery-dependent; below Hb 3-3.5 g/dL in normal cardiac function
- Biphasic DO₂-VO₂ curve: flow-independent plateau → critical point → flow-dependent zone
- Low SvO₂ causes: ↓SaO₂, ↓Hb, ↓CO, ↑VO₂
- High SvO₂: sepsis (shunting), cyanide poisoning, hypothermia
- Anaesthesia reduces DO₂ via: ↓CO (myocardial depression, vasodilation), ↓preload (positive pressure ventilation), ↓Hb (blood loss)
References: Miller's Anesthesia 10e (blocks 13, 15, 31); Barash's Clinical Anaesthesia 9e (block 19, 20); Mulholland & Greenfield's Surgery 7e (block 3, Table 10.1); Sabiston Textbook of Surgery 21e (block 6, Fig 33.9); Fischer's Mastery of Surgery 8e (block 1); Scott-Brown's Otorhinolaryngology Vol 1 (Box 33.2)