Lung compliance

Lung compliance, or pulmonary compliance, is a measure of the lung's ability to stretch and expand (distensibility of elastic tissue). In clinical practice it is separated into two different measurements, static compliance and dynamic compliance. Static lung compliance is the change in volume for any given applied pressure.[1] Dynamic lung compliance is the compliance of the lung at any given time during actual movement of air.

Low compliance indicates a stiff lung (one with high elastic recoil) and can be thought of as a thick balloon – this is the case often seen in fibrosis. High compliance indicates a pliable lung (one with low elastic recoil) and can be thought of as a grocery bag – this is the case often seen in emphysema. Compliance is highest at moderate lung volumes, and much lower at volumes which are very low or very high. The compliance of the lungs demonstrate lung hysteresis; that is, the compliance is different on inspiration and expiration for identical volumes.

Calculation

Pulmonary compliance is calculated using the following equation, where ΔV is the change in volume, and ΔP is the change in pleural pressure:

Compliance={\frac {\Delta V}{\Delta P}}

For example, if a patient inhales 500 mL of air from a spirometer with an intrapleural pressure before inspiration of −5 cm H₂O and −10 cm H₂O at the end of inspiration. Then:

Compliance={\frac {\Delta V}{\Delta P}}={\frac {.5\;{\ce {L}}}{-5\;{\ce {cm\,H2O}}-(-10\;{\ce {cm\,H2O}})}}={\frac {.5\;{\ce {L}}}{5\;{\ce {cm\,H2O}}}}=0.1\;{\ce {L}}\;\times \;{\ce {cm\,H2O^{-1}}}

Static compliance (C_stat)

Static compliance represents pulmonary compliance during periods without gas flow, such as during an inspiratory pause. It can be calculated with the formula:

C_{stat}={\frac {V_{T}}{P_{plat}-\mathrm {PEEP} }}

where

V_T = tidal volume;

P_plat = plateau pressure;

PEEP = positive end-expiratory pressure.

P_plat is measured at the end of inhalation and prior to exhalation by using an inspiratory hold maneuver. During this maneuver, airflow is transiently (~0.5 sec) discontinued, which eliminates the effects of airway resistance. P_plat is never bigger than PIP and is typically <10 cm H₂O lower than PIP when airway resistance is not elevated.

Dynamic compliance (C_dyn)

Dynamic compliance represents pulmonary compliance during periods of gas flow, such as during active inspiration. Dynamic compliance is always lower than or equal to static lung compliance because PIP − PEEP is always greater than P_plat − PEEP. It can be calculated using the following equation,

C_{dyn}={\frac {V_{T}}{\mathrm {PIP-PEEP} }}

where

C_dyn = Dynamic compliance;

V_T = tidal volume;

PIP = Peak inspiratory pressure (the maximum pressure during inspiration);

PEEP = Positive End Expiratory Pressure:

Alterations in airway resistance, lung compliance and chest wall compliance influence C_dyn.

Dimensionality and Physical Analogues

The dimensions of compliance in respiratory physiology are inconsistent with the dimensions of compliance in physics-based applications. In physiology,

[C_{\text{pulmonary}}]={\frac {[\Delta V]}{[\Delta P]}}={\frac {L^{3}}{ML^{-1}T^{-2}}}={\frac {L^{4}T^{2}}{M}},

whereas in newtonian physics, compliance is defined as the inverse of the elastic stiffness constant k,

[C_{\text{physics}}]={\frac {1}{[k]}}={\frac {[\delta x]}{[F]}}={\frac {L}{MLT^{-2}}}={\frac {T^{2}}{M}}.

Pulmonary compliance is analogous to Capacitance.

Clinical significance

Lung compliance is an important measurement in respiratory physiology.[2][3]

fibrosis is associated with a decrease in pulmonary compliance.
emphysema/COPD may be associated with an increase in pulmonary compliance due to the loss of alveolar and elastic tissue.

Pulmonary surfactant increases compliance by decreasing the surface tension of water. The internal surface of the alveolus is covered with a thin coat of fluid. The water in this fluid has a high surface tension, and provides a force that could collapse the alveolus. The presence of surfactant in this fluid breaks up the surface tension of water, making it less likely that the alveolus can collapse inward. If the alveolus were to collapse, a great force would be required to open it, meaning that compliance would decrease drastically. Lung volume at any given pressure during inhalation is less than the lung volume at any given pressure during exhalation, which is called hysteresis.[4]

Functional significance of abnormally high or low compliance

Low compliance indicates a stiff lung and means extra work is required to bring in a normal volume of air. This occurs as the lungs in this case become fibrotic, lose their distensibility and become stiffer.

In a highly compliant lung, as in emphysema, the elastic tissue is damaged by enzymes. These enzymes are secreted by leukocytes (white blood cells) in response to a variety of inhaled irritants, such as cigarette smoke. Patients with emphysema have a very high lung compliance due to the poor elastic recoil. They have extreme difficulty exhaling air. In this condition extra work is required to get air out of the lungs. In addition, patients often have difficulties inhaling air as well. This is due to the fact that a highly compliant lung results in many Atelectasis which makes inflation difficult. Compliance also increases with increasing age.

Both peak inspiratory and plateau pressure increase when elastic resistance increases or when pulmonary compliance decreases (e.g. during abdominal insufflation, ascites, intrinsic lung disease, obesity, pulmonary edema, tension pneumothorax). On the other hand, only peak inspiratory pressure increases (plateau pressure unchanged) when airway resistance increases (e.g. airway compression, bronchospasm, mucous plug, kinked tube, secretions, foreign body).[5]

Compliance decreases in the following cases:

Supine position
Laparoscopic surgical interventions
Severe restrictive pathologies
Chronic restrictive pathologies
Hydrothorax
Pneumothorax
High standing of a diaphragm
Acute asthma attacks, where increased compliance also occurs for an unclear reason[6]

References

Lung+compliance at the US National Library of Medicine Medical Subject Headings (MeSH)
Nikischin W, Gerhardt T, Everett R, Bancalari E (1998). "A new method to analyze lung compliance when pressure-volume relationship is nonlinear". Am J Respir Crit Care Med. 158 (4): 1052–60. doi:10.1164/ajrccm.158.4.9801011. PMID 9769260. article
Nosek, Thomas M. "Section 4/4ch2/s4ch2_21". Essentials of Human Physiology. Archived from the original on 2016-03-24.
West, John B. (2005). Respiratory physiology: the essentials. Hagerstown, MD: Lippincott Williams & Wilkins. ISBN 978-0-7817-5152-0.
Marino, Paul. The ICU Book. 3rd Edition. Pages 465–467.
West, John B. (2012). Respiratory physiology: the essentials (9th ed.). Philadelphia: Wolters Kluwer Health/Lippincott Williams & Wilkins. p. 99. ISBN 978-1-60913-640-6. OCLC 723034847.

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[1] Lung+compliance at the US National Library of Medicine Medical Subject Headings (MeSH)

[2] Nikischin W, Gerhardt T, Everett R, Bancalari E (1998). "A new method to analyze lung compliance when pressure-volume relationship is nonlinear". Am J Respir Crit Care Med. 158 (4): 1052–60. doi:10.1164/ajrccm.158.4.9801011. PMID 9769260. article

[3] Nosek, Thomas M. "Section 4/4ch2/s4ch2_21". Essentials of Human Physiology. Archived from the original on 2016-03-24.

[isbn0-7817-5152-7-4] West, John B. (2005). Respiratory physiology: the essentials. Hagerstown, MD: Lippincott Williams & Wilkins. ISBN 978-0-7817-5152-0.

[5] Marino, Paul. The ICU Book. 3rd Edition. Pages 465–467.

[6] West, John B. (2012). Respiratory physiology: the essentials (9th ed.). Philadelphia: Wolters Kluwer Health/Lippincott Williams & Wilkins. p. 99. ISBN 978-1-60913-640-6. OCLC 723034847.

Respiratory physiology
Respiration	breath inhalation exhalation obligate nasal breathing respiratory rate respirometer pulmonary surfactant compliance elastic recoil hysteresivity airway resistance bronchial hyperresponsiveness constriction dilatation mechanical ventilation
Control	pons pneumotaxic center apneustic center medulla dorsal respiratory group ventral respiratory group chemoreceptors central peripheral pulmonary stretch receptors Hering–Breuer reflex
Lung volumes	VC FRC Vt dead space CC PEF calculations respiratory minute volume FEV1/FVC ratio Lung function tests spirometry body plethysmography peak flow meter nitrogen washout
Circulation	pulmonary circulation hypoxic pulmonary vasoconstriction pulmonary shunt
Interactions	ventilation (V) Perfusion (Q) Ventilation/perfusion ratio V/Q scan zones of the lung gas exchange pulmonary gas pressures alveolar gas equation alveolar–arterial gradient hemoglobin oxygen–hemoglobin dissociation curve (Oxygen saturation 2,3-BPG Bohr effect Haldane effect) carbonic anhydrase (chloride shift) oxyhemoglobin respiratory quotient arterial blood gas diffusion capacity (DLCO)
Insufficiency	high altitude death zone oxygen toxicity hypoxia