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Applied Physiology of Compliance
1. Definition and Formula
Compliance is the change in volume produced per unit change in pressure:
C = ΔV / ΔP
It is the inverse of elastance (stiffness). A highly compliant lung inflates easily (like a thin rubber band); a stiff, low-compliance lung requires much more pressure per unit volume change.
Normal values:
- Lung compliance alone: ~200 mL/cm H₂O
- Chest wall compliance alone: ~200 mL/cm H₂O
- Total respiratory system (lungs + chest wall in series): ~110 mL/cm H₂O
Because the lung and chest wall are in series, their compliances combine as reciprocals:
1/C_RS = 1/C_L + 1/C_W
Equivalently: Elastance_RS = Elastance_L + Elastance_W
(Murray & Nadel's Textbook of Respiratory Medicine; Costanzo Physiology 7th Ed., p. 208)
2. Elastic Forces Determining Compliance
Two distinct forces generate elastic recoil in the lung:
(a) Tissue Elastic Forces (~1/3 of total)
Elastin and collagen fibers within the lung parenchyma are kinked and contracted at low volumes. As the lung expands, they stretch and exert increasing recoil. A saline-filled lung (which eliminates the air-fluid interface) demonstrates these tissue forces alone - its compliance is ~3x higher than the same air-filled lung.
(b) Surface Tension Forces (~2/3 of total)
The air-fluid interface lining each alveolus creates an inward collapsing force. Using the Law of Laplace:
P = 2T / r
where P = collapsing pressure, T = surface tension, r = alveolar radius.
In a normal alveolus (radius ~100 µm) with surfactant, this generates ~4 cm H₂O. Without surfactant (pure water T = 72 dynes/cm), this rises to ~18 cm H₂O - demonstrating why surfactant is so important.
(Guyton & Hall Medical Physiology, p. 494-495)
3. The Pressure-Volume (Compliance) Curve and Hysteresis
Fig: Compliance of the lung. The air-filled lung shows hysteresis (different slopes for inspiration and expiration); the saline-filled lung (surface tension eliminated) shows nearly identical limbs. - Costanzo Physiology 7th Ed.
Hysteresis means the inspiration and expiration limbs of the pressure-volume loop are different. This occurs because of surface tension dynamics with surfactant:
- Inspiration limb: At low lung volumes, surfactant molecules are tightly packed. As inflation begins, new surfactant from type II cells enters but initially cannot match the increasing surface area - so surfactant density is low, surface tension is high, compliance is low, and the curve is initially flat. As inflation proceeds, surfactant density catches up and compliance increases.
- Expiration limb: Begins at high volume where intermolecular forces between fluid molecules are low. Surface area decreases faster than surfactant can be removed, so surfactant density stays high, surface tension stays low, and compliance is relatively higher than on the inspiration limb.
- Compliance is typically measured on the expiration limb because the inspiration limb is flattened at maximal volumes.
4. Lung and Chest Wall Interaction - FRC
The lung "wants" to collapse; the chest wall "wants" to spring outward. These opposing elastic forces pull on the intrapleural space, creating a negative intrapleural pressure (normally -5 cm H₂O at rest). This negative pressure prevents both lung collapse and chest wall from springing out.
FRC is the equilibrium point where the collapsing force of the lungs exactly equals the expanding force of the chest wall - no net force, airway pressure = atmospheric. This is the resting end-expiratory volume.
- At volumes below FRC: Chest wall recoil exceeds lung recoil → combined system "wants" to expand (airway pressure negative)
- At volumes above FRC: Lung recoil exceeds chest wall recoil → combined system "wants" to collapse (airway pressure positive)
- At very high volumes, both the lung and chest wall "want" to collapse
(Costanzo Physiology 7th Ed., p. 207)
5. Role of Surfactant
Surfactant is a complex phospholipid (predominantly dipalmitoyl phosphatidylcholine, DPPC) secreted by type II alveolar cells, which make up ~10% of the alveolar surface.
Key functions:
- Reduces surface tension from 50 dynes/cm (without surfactant) to 5-30 dynes/cm (normal range) - a 12 to 10-fold reduction
- Increases lung compliance, reducing work of breathing
- Stabilizes alveoli of different sizes: Without surfactant, by Laplace's law, smaller alveoli would have higher collapsing pressure and empty into larger ones. Surfactant preferentially reduces surface tension more in smaller alveoli (surfactant molecules pack more densely as radius decreases), equalizing pressure across alveolar sizes.
Absence of surfactant (e.g., Respiratory Distress Syndrome of the Newborn in premature infants born before 28-32 weeks, before surfactant secretion begins): lung compliance falls dramatically, alveoli collapse (atelectasis), ventilation-perfusion mismatch → hypoxemia. Treatment: exogenous surfactant + CPAP/mechanical ventilation.
(Guyton & Hall, p. 495)
6. Disease States and Compliance
Fig: Compliance curves for chest wall (A), lung alone (B), and combined system (C) in normal, emphysema, and fibrosis. Note the shift in FRC. - Costanzo Physiology 7th Ed.
| Condition | Compliance | Mechanism | Effect on FRC | Clinical Features |
|---|
| Emphysema | ↑ Increased | Destruction of elastic fibers | ↑ Higher FRC | Barrel chest, pursed-lip breathing, air trapping |
| Pulmonary fibrosis | ↓ Decreased | Stiffening/scarring of lung tissue | ↓ Lower FRC | Increased work of breathing, restrictive pattern |
| Pulmonary edema | ↓ Decreased | Alveolar fluid, surfactant washout | ↓ Lower FRC | Hypoxemia, increased respiratory effort |
| ARDS | ↓ Decreased | Inflammatory exudate, surfactant loss, collapse | ↓ Lower FRC | Severe hypoxemia, requires PEEP |
| Obesity / supine position | ↓ Decreased | Abdominal contents pushing diaphragm up | ↓ Lower FRC | Increased work of breathing under anesthesia |
Emphysema in detail:
Loss of elastic fibers → compliance increases (steeper P-V slope). At the original FRC, the lung's collapsing force is now less than the chest wall's expanding force. To rebalance, volume is added until lung recoil again equals chest wall recoil - the new FRC is higher. Patients breathe at elevated lung volumes → barrel chest.
Fibrosis in detail:
Scar tissue stiffens the lung → compliance decreases (flatter P-V slope). The lung's collapsing force at the original FRC now exceeds the chest wall's expanding force. Volume is expelled until a new balance point is found at a lower FRC. Patients must generate greater inspiratory effort for the same tidal volume.
7. Clinical Applications
PEEP and Compliance
Patients with low lung compliance (e.g., ARDS, pulmonary fibrosis) may receive PEEP during mechanical ventilation to prevent alveolar derecruitment at end-expiration. PEEP increases end-expiratory volume toward (or above) the normal FRC, keeping alveoli open and improving oxygenation. However, not all PEEP is transmitted to the pleural space - the fraction transmitted depends on the ratio of chest wall elastance to total respiratory system elastance:
ΔPpl = PEEP × (Ew / ERS)
If lung compliance is very low (high EL) but chest wall compliance is normal (Ew), a smaller fraction of PEEP reaches the pleura, limiting hemodynamic impact.
Work of Breathing
Inspiratory work has three components:
- Compliance work (elastic work): overcoming elastic recoil of lungs and chest wall - predominant in low-compliance states
- Tissue resistance work: overcoming viscosity of lung/chest tissue
- Airway resistance work: overcoming resistance to airflow
In normal quiet breathing, the respiratory muscles use only 3-5% of total body energy expenditure. In low-compliance states (ARDS, fibrosis), compliance work increases dramatically. At high exercise intensity, respiratory work can increase 50-fold, becoming a limiting factor in exercise tolerance.
Time Constant
The time constant (τ) = R × C (resistance × compliance). It governs how quickly a lung unit fills or empties. In non-uniform compliance (e.g., heterogeneous ARDS), lung units with different time constants fill at different rates - a phenomenon important in selecting appropriate respiratory rate and I:E ratio during mechanical ventilation. Fast rates prevent adequate emptying of slow units (gas trapping) and may overdistend fast units.
Combined Lung-Thorax Compliance
In the intact thorax:
C_combined ≈ 110 mL/cm H₂O (roughly half C_lung alone)
This is because the rigid chest wall adds its own elastic load in series. At the extremes of volume (near TLC or RV), chest wall stiffness increases dramatically and combined compliance may fall to <20% of lung compliance alone.
8. Summary Table
| Parameter | Value | Notes |
|---|
| Lung compliance alone | 200 mL/cm H₂O | Measured in isolated or paralyzed subject |
| Chest wall compliance | 200 mL/cm H₂O | Measured separately |
| Combined (respiratory system) | ~110 mL/cm H₂O | Series combination |
| Alveolar surface tension (with surfactant) | 5-30 dynes/cm | Varies with lung volume |
| Alveolar surface tension (without surfactant) | ~50 dynes/cm | As in RDS |
| Normal intrapleural pressure at FRC | -5 cm H₂O | Created by opposing elastic forces |
| Respiratory energy at rest | 3-5% of total | Rises dramatically in stiff lungs |
Sources:
- Costanzo Physiology, 7th Ed., pp. 204-212 (Compliance of Lungs, Chest Wall, Diseases of Compliance, Surface Tension)
- Guyton and Hall Textbook of Medical Physiology, pp. 493-496 (Compliance, Surfactant, Surface Tension, Work of Breathing)
- Murray & Nadel's Textbook of Respiratory Medicine (Total Respiratory Compliance, PEEP and Pleural Pressure)