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HLT-RESP80-02 · Lesson 3 · 40 clock hours · lab

Mechanics of Breathing: Pressure, Volume, and the Work of Breathing

Objective. Students will measure and record lung compliance and airway resistance values using a classroom spirometry model and explain how changes in each affect the work of breathing.

⚠ Pending professional review

This lesson, its worked examples and its practice questions has not yet been verified by a licensed clinician in the field or by a certification or approval body. It is a study draft and may contain errors. Do not use it to make decisions about any patient or medication. Always follow your instructor, your supervising professional, and current official references and regulations.

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Mechanics of Breathing: Pressure, Volume, and the Work of Breathing

Understanding how air moves in and out of the lungs requires a firm grasp of three interrelated concepts: pressure gradients, lung compliance, and airway resistance. Together, these factors determine how much effort—or work—the respiratory muscles must produce with every breath. As a respiratory therapist, you will use these principles daily when you assess patients, set ventilator parameters, and interpret pulmonary function data.

Pressure Gradients and Airflow

Air flows from an area of higher pressure to an area of lower pressure. During a normal spontaneous inhalation, the diaphragm and external intercostal muscles contract, increasing thoracic volume. This expansion lowers alveolar pressure below atmospheric pressure, and air flows in. During exhalation, the muscles relax, the chest wall recoils, alveolar pressure rises above atmospheric, and air flows out.

Three pressure values matter most in clinical practice:

Transpulmonary pressure (Ptp) is the difference between alveolar pressure and pleural pressure (Ptp = Palv − Ppl). It is the pressure that keeps the alveoli open and is central to understanding compliance.

Lung Compliance

Compliance describes the distensibility of the lung—how easily it stretches in response to a given pressure change. It is calculated as:

Static Compliance (Cst) = ΔVolume ÷ ΔPressure

The units are milliliters per centimeter of water (mL/cm H₂O). In a healthy adult, static compliance of the respiratory system (lung plus chest wall together) is approximately 60–100 mL/cm H₂O. The lung alone is typically around 200 mL/cm H₂O.

Decreased compliance (stiff lungs) means more pressure is required to deliver the same tidal volume. Conditions such as pulmonary fibrosis, acute respiratory distress syndrome (ARDS), pulmonary edema, and atelectasis all reduce compliance. On a pressure-volume (P-V) curve, a stiff lung produces a flatter, rightward-shifted curve: the slope is less steep because volume changes little for a given pressure change.

Increased compliance is seen in emphysema, where destruction of alveolar walls reduces elastic recoil. The P-V curve becomes steeper. While this sounds like less work to inflate, the loss of recoil means air trapping and difficulty exhaling.

Airway Resistance

Resistance (Raw) is the opposition to airflow caused by friction between air molecules and the airway walls. It is expressed as cm H₂O per liter per second (cm H₂O/L/s). Normal total airway resistance in an adult is approximately 0.5–2.5 cm H₂O/L/s.

Resistance is governed by Poiseuille's law: it is inversely proportional to the fourth power of airway radius. Halving the radius increases resistance sixteenfold. This is why bronchospasm, secretions, mucosal edema, or a partially kinked endotracheal tube can dramatically increase the work of breathing.

The Work of Breathing

Work of breathing (WOB) is the energy the respiratory muscles expend to overcome both elastic forces (compliance) and resistive forces (airway resistance) during ventilation. Normally, WOB is low and the respiratory muscles consume only a small fraction of total body oxygen. In patients with stiff lungs or obstructed airways, WOB rises significantly. At extreme levels, the respiratory muscles themselves can fatigue and ventilatory failure can result—a key reason for initiating mechanical ventilation.

On a P-V loop (the dynamic curve traced during a full breath), the area enclosed by the loop represents resistive work. The triangle under the static compliance line represents elastic work. Clinicians and ventilator monitoring systems use these loops to guide therapy.

Today's Lab Overview

In this lab you will use a mechanical lung model to simulate normal and decreased compliance. You will record the pressure needed to deliver a set tidal volume, plot P-V curves on graph paper or a spreadsheet, and calculate static compliance from your data. Compare your results to the reference ranges in Egan's Fundamentals of Respiratory Care.

Safety and Professional Practice Points

Key terms8

Static Compliance (Cst)The distensibility of the lung or respiratory system measured under no-flow (static) conditions; calculated as the change in volume divided by the change in pressure, expressed in mL/cm H₂O.
Transpulmonary Pressure (Ptp)The pressure difference across the lung wall, calculated as alveolar pressure minus pleural pressure; the driving force that keeps alveoli open.
Airway Resistance (Raw)The opposition to airflow caused by friction between gas molecules and the walls of the airways, expressed in cm H₂O per liter per second.
Work of Breathing (WOB)The total energy expended by the respiratory muscles to overcome both elastic and resistive forces during ventilation; increases when compliance decreases or resistance increases.
Pressure-Volume (P-V) CurveA graphical representation of the relationship between airway pressure and lung volume; the slope of the curve represents compliance, and the enclosed loop area during dynamic breathing represents resistive work.
Elastic RecoilThe tendency of the lung to return to its resting volume after being stretched; generated by the elastin fibers and surface tension within alveoli; reduced in emphysema, increased in fibrosis.
Tidal Volume (VT)The volume of air inhaled or exhaled in a single normal breath; approximately 500 mL in a healthy resting adult, often expressed as 6–8 mL/kg of ideal body weight in mechanical ventilation.
Poiseuille's LawA physical principle stating that airway resistance is inversely proportional to the fourth power of the airway radius; explains why small reductions in airway diameter cause large increases in resistance.

Worked examples4

1. A student sets the mechanical lung model to deliver a tidal volume of 500 mL. At baseline (normal compliance setting), the plateau pressure is 10 cm H₂O and the PEEP is 0 cm H₂O. Calculate static compliance.
  1. Write the formula: Cst = ΔVolume ÷ ΔPressure
  2. Identify ΔVolume: 500 mL (the tidal volume delivered)
  3. Identify ΔPressure: plateau pressure minus PEEP = 10 − 0 = 10 cm H₂O
  4. Divide: 500 mL ÷ 10 cm H₂O = 50 mL/cm H₂O
Answer: Static compliance = 50 mL/cm H₂O. This falls within the lower end of the normal adult range, indicating moderately compliant lungs.
2. The student then switches the model to the 'fibrosis' stiffness setting. The same 500 mL tidal volume now requires a plateau pressure of 25 cm H₂O with PEEP still at 0 cm H₂O. Calculate the new static compliance and determine the percent decrease from the baseline value.
  1. Apply the formula: Cst = ΔVolume ÷ ΔPressure
  2. ΔVolume = 500 mL; ΔPressure = 25 − 0 = 25 cm H₂O
  3. Cst = 500 ÷ 25 = 20 mL/cm H₂O
  4. Calculate percent decrease: ((50 − 20) ÷ 50) × 100 = (30 ÷ 50) × 100 = 60%
Answer: Static compliance = 20 mL/cm H₂O, which is 60% lower than the baseline value of 50 mL/cm H₂O, consistent with the significantly stiff lung represented by the fibrosis setting.
3. A student graphs two data points for the normal compliance setting: Point A (pressure = 5 cm H₂O, volume = 250 mL) and Point B (pressure = 10 cm H₂O, volume = 500 mL). Calculate the compliance from these two points and state what the slope of the line between them represents.
  1. Apply the formula: Cst = ΔVolume ÷ ΔPressure
  2. ΔVolume = 500 − 250 = 250 mL
  3. ΔPressure = 10 − 5 = 5 cm H₂O
  4. Cst = 250 mL ÷ 5 cm H₂O = 50 mL/cm H₂O
  5. The slope of the line connecting A and B on the P-V curve equals compliance; a steeper slope means higher compliance (easier to inflate), while a flatter slope means lower compliance (stiffer lung).
Answer: Compliance = 50 mL/cm H₂O. The slope of the P-V curve line between these two points represents static compliance; steeper slopes indicate more compliant (easier to distend) lungs.
4. Using PEEP of 5 cm H₂O and a plateau pressure of 20 cm H₂O, a tidal volume of 480 mL is delivered. Calculate static compliance.
  1. Formula: Cst = ΔVolume ÷ ΔPressure
  2. ΔVolume = 480 mL
  3. ΔPressure = plateau pressure − PEEP = 20 − 5 = 15 cm H₂O
  4. Cst = 480 ÷ 15 = 32 mL/cm H₂O
Answer: Static compliance = 32 mL/cm H₂O, which is below the normal reference range and suggests reduced lung compliance, warranting further clinical assessment.

The math in this lesson2

Learners compute static compliance as tidal volume divided by the pressure change in cm H₂O.
6.RP.3A-SSE.1
Brush up in the math halls at newSchoolWorks.com:
In class: Instructor demonstration of a mechanical lung model showing normal versus decreased compliance; students observe pressure and volume readings and record data in a structured lab worksheet. · Paired lab activity: students take turns adjusting model parameters (stiffness settings representing fibrosis or normal lung) and measuring the pressure required to deliver the same tidal volume, graphing results on a pressure-volume curve. · Calculation exercise: using recorded data, students compute static compliance (change in volume divided by change in pressure) and compare values to normal reference ranges from Egan's.
Materials: Mechanical lung model or analogous classroom simulation device; spirometry teaching software; graph paper or spreadsheet template; Egan's Fundamentals of Respiratory Care reference tables; lab worksheet.
Check: Completed and signed lab worksheet with correctly plotted pressure-volume curves and compliance calculations within 10% of expected values; instructor reviews each worksheet before the student leaves the lab session.

Practice check8

Answer each question, then check it. Nothing is recorded; this is your own practice.

Cardiopulmonary Anatomy & Physiology
1. A student increases the stiffness setting on the mechanical lung model while keeping tidal volume constant. Which change in the pressure-volume curve should the student expect to observe?
Cardiopulmonary Anatomy & Physiology
2. Static compliance is calculated using which formula?
Patient Assessment
3. A plateau pressure is 18 cm H₂O, PEEP is 3 cm H₂O, and the delivered tidal volume is 450 mL. What is the static compliance?
Cardiopulmonary Anatomy & Physiology
4. According to Poiseuille's law, if the radius of an airway is reduced by half, airway resistance will increase by a factor of:
Cardiopulmonary Anatomy & Physiology
5. Which condition is most likely to result in decreased lung compliance?
Therapeutic Procedures
6. On a dynamic pressure-volume loop recorded during mechanical ventilation, what does the area enclosed within the loop primarily represent?
Cardiopulmonary Anatomy & Physiology
7. A patient's work of breathing increases dramatically after a bronchospasm episode. The primary cause of this increase is:
Patient Assessment
8. During today's lab, a student records a compliance value that is 15% higher than the expected reference value. According to the lab check-off criteria, what is the acceptable margin of error from the expected value?
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