4

AIRFLOW IN THE RESPIRATORY SYSTEM

Chapter objectives

After studying this chapter you should be able to:

1. Define airway resistance.

2. State the relationship between airway radius and airway resistance.

3. Describe the distribution of airway resistance throughout the respiratory tract.

4. Explain why airway resistance is a dynamic property.

5. Outline the physiological factors that determine airway resistance.

6. List factors influencing bronchial smooth muscle tone and their implications in asthma.

7. Relate the concept of an equal pressure point to the collapse of airways, particularly in emphysema.

8. Explain how pattern of breathing relates to work of breathing.

9. Differentiate between reversible and non-reversible obstructive disease.

10. Explain the basis of clinical tests to differentiate between these diseases.

Introduction

The lungs of mammals are structures which have evolved as part of the process of taking our delicate respiratory surface within the protection of our bodies. They are blind-ended structures with only one entrance or exit, the trachea.

This means that air must be moved into the lungs and then removed when the exchange of gas between air and blood is complete. Some of the most important diseases that interfere with this movement of air through the airways are known as chronic obstructive pulmonary diseases (COPD). There are a variety of these diseases, which make up one of the major causes of morbidity and mortality in the industrialized world.

Although many patients present with a combination of more than one type of disease, making diagnosis difficult, obstruction of the airways (other than by foreign bodies or neoplasms) can be generally attributed to:

• blocking of the airway by secretions, e.g. in bronchitis

• reduction in airways diameter due to contraction of smooth muscle in its walls or swelling due to inflammation, e.g. in asthma and bronchitis

• collapse of the airways due to disruption of the supporting parenchyma, e.g. in emphysema, or changes in intrapleural pressure, as in cough.

We saw in the previous chapter that negative intrapleural pressure holds the lungs ‘stretched’ against the chest wall. The degree of stretch, and hence lung volume, depends on the compliance of the lungs and the intrapleural pressure. If intrapleural pressure remained constant the lungs would remain at constant volume and breathing would not take place. To breathe we alter intrapleural pressure, making it more negative to bring about inspiration and allowing it to become less negative to allow expiration to take place.

During the dynamic process of breathing intrapleural pressure is to all intents and purposes made up of two parts, the part required to hold the lungs open (the static component) plus a component to move the air into or out of the lungs. The latter overcomes airways resistance to flow. Pressure to overcome the viscosity of the tissues is only a small part (less than 20%) of the total, and the inertia of the system need not be considered unless the system is moving very violently, as in sneezing or coughing.

How airflow is brought about

Our model from the previous chapter, which represents the respiratory system as a balloon inside a container like a syringe, is often used to illustrate the two components of intrapleural pressure mentioned above and illustrated in Figure 4.1. The plunger of the syringe represents the diaphragm, the walls of the syringe represent the chest wall, the balloon represents the alveoli, and the narrow tube represents the airways of the lung.

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Fig. 4.1 A balloon inside a syringe is a good model of the human lungs and chest wall. To hold the ‘lungs’ stationary requires a certain negative pressure inside the syringe; to hold them at a larger volume requires a more negative pressure. These changes in intrapleural pressure bring about breathing, and are themselves brought about by movement of the diaphragm.

It is obvious that to hold the balloon inflated requires a certain effort; to draw air into the balloon (inspiration) requires more effort.

There are three further things that are not so obvious which can be deduced from this excellent model of breathing, and they all have clinical relevance:

1. The changes in intrapleural pressure that bring about breathing can be superimposed on a small lung volume (the balloon being only slightly inflated) or on a large lung volume (the balloon very inflated). Understandably, to hold the balloon at a large volume requires greater effort, and this is what happens, for example, in asthma, where the patient breathes at an increased lung volume to keep his airways open.

2. Airflow only takes place from a region of high pressure to a region of low pressure along the airway. Therefore, at two times in each respiratory cycle (when inspiration has just ceased and is about to become expiration, or when expiration has just ceased and is about to become inspiration) there is no flow, and pressure is the same all the way from the lips to the alveoli. This fact can be used to measure dynamic lung compliance (see Fig. 3.17). It should also be noted that under conditions of normal breathing the pressure in the airways is much closer to atmospheric pressure than the pressure in the intrapleural space.

3. Recoil of the lungs produces a pressure which resists inspiration but assists expiration. This is analogous to pushing a car up a hill: the weight of the car represents recoil pressure and resists going up (inspiration). The weight of the car would, however, assist going down (expiration). This effect of helping expiration and hindering inspiration is seen in flow/volume loops used to test lung function.

The nature of airflow

Gas flows from regions of high pressure to regions of lower pressure. This flow may be laminar, where the movement is orderly and streamlined, or turbulent, where movement is chaotic.

Flow in most, but not all, of the respiratory system can be considered laminar as a first approximation. Important exceptions include the nose, where turbulence causes inhaled particles to be thrown out of the airstream, and the larynx, where turbulence contributes to the production of sound.

Flow in a long straight smooth tube becomes turbulent when Reynolds’ Number, which is calculated as 2rvd/η (r = radius of tube, v = velocity of flow, d = gas density, η = gas viscosity) exceeds 2000. Under turbulent conditions flow varies with the square root of the driving pressure, i.e. it is very much more difficult to produce the same flow when flow is turbulent (Fig. 4.2).

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Fig. 4.2 Flow of gas in a tube, half of which is smooth and half of which is rough to produce turbulence. This demonstrates that the pressure gradient that exists when flow is turbulent is greater than when flow is laminar, although the flow in both tubes must be the same.

It is therefore important when designing breathing apparatus to avoid turbulence, which would increase the subject’s work of breathing.

The major determinant of flow – radius

Laminar flow has been extensively investigated by scientists, one of whom, Poiseuille, defined the relationship between driving pressure (ΔP) and flow (image) as:

image

where r is the radius of the tube, η is the viscosity of the gas, and l is the length of the tube. This relationship applies to gas flow in the long straight smooth tubes under stable conditions – hardly conditions that apply to the lungs. However, it can be roughly applied to breathing, and you may notice that the most important factor affecting airflow in this equation is the radius of the tube, which is raised to the fourth power (r4). This means that if you reduce the radius by half and keep everything else constant, the flow will be reduced to image.

Laminar flow in a tube can be represented as a series of cylinders moving down the tube, with the central cylinder moving fastest. The outermost cylinder is stationary and is in fact a layer of the original gas in the tube left behind as the new gas moves forward, as shown in Figure 4.4.

These apparently esoteric considerations have important consequences in respiratory medicine. For example, adequate ventilation of the alveoli of the lungs can be achieved with a surprisingly small tidal volume, provided a high enough frequency of ‘breathing’ is used. This phenomenon is seen in clinical conditions when high-frequency artificial ventilation of the lungs is used where we want to avoid movements of the chest wall – in trauma victims with a crushed chest, for example. The patient is successfully artificially ventilated with a tidal volume less than his or her anatomical dead space (see p. 64) and frequencies up to 50 Hz. A ‘spear’ of fresh air in the centre of the airways penetrates deeper into the lungs than might be expected and provides adequate ventilation.

Airways resistance and obstructive pulmonary disease

We have established that it takes a greater pressure to inflate the lungs than simply to hold them in a steady inflated state. This extra pressure is required to produce flow in the airways. We have also seen that the relationship between pressure and volume on slowly inflating and deflating the lungs is not a straight line, as you would get with a rubber balloon, but rather a loop, with a greater pressure needed to inflate the lungs to a given volume than that which exists at the same volume when they are being allowed to deflate (Fig. 4.3).

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Fig. 4.3 Dynamic and pseudostatic lung inflation. The different relationships between volume and inflating pressure in an excised lung when inflation is in a series of steps (with pressure measured under static conditions after each step), or dynamically, with air flowing continuously into or out of the lung. The pressure at any volume is greater than the static value when the lung is being inflated dynamically, and less when it is deflating dynamically.

The small dotted loop in Figure 4.3 was produced by inflating and deflating the lungs extremely slowly, a situation that is called pseudostatic. If we were to carry out this inflation and deflation at a normal breathing rate (12 times per minute, say) the loop would be wider (the solid line), with inflation pressures required for a given volume being greater than under the static conditions and deflation pressures being less.

This situation arises because energy is used up to propel the air along the airways; the airways can be said to resist flow in a phenomenon known as airways resistance. This resistance during laminar flow can be thought of as the friction between the layers of air as they are pushed down the airway. Pushing a pile of typing paper or a pack of cards across a table gives a good idea of what is happening (Fig. 4.4).

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Fig. 4.4 A model of laminar flow. Laminar flow of air in a tube (A) consist of very thin layers of air (laminae) sliding over each other, with the layer nearest the wall being stationary. It can be compared to a pile of paper on a surface being pushed along (B).

As its name implies, airways resistance is analogous to electrical resistance. To measure the electrical resistance of a length of wire you need to know two things, the potential difference (voltage) between the two ends of the wire, and the current flowing in the wire. Using reasonable currents (that do not overheat the wire) we find that the relationship between voltage (V) and current (I) is a straight line (Fig. 4.5).

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Fig. 4.5 The analogy between electrical and airway resistance, and how they are measured.

This is Ohm’s Law, and the slope of the line (V/I) is the resistance of the wire in ohms.

Just as when describing the static properties of the lung we use the term compliance, rather than its reciprocal elastance, when considering airways resistance we frequently use its reciprocal, conductance. Airways conductance = 1/Airways resistance.

To measure the airways resistance of a tube you also need to know two things, the driving pressure (the difference in pressure) between the two ends of the tube, and the airflow of the tube. Using flows that do not produce turbulence, we find that the relationship between pressure (P) and flow (image) is also a straight line, like electrical resistance.

The slope of the line is the airway resistance of the tube in kPa 1−1 s.

The airways resistance of an adult breathing quietly is about 0.2 kPa 1−1 s, which means that a normal sort of flow of 0.5 1−1 s is brought about by a pressure difference of 0.1 kPa between the lips and the alveoli.

Two important points arise from this apparently innocuous statement:

1. Airways resistance is a dynamic property and can only be measured when flow is taking place.

2. The figures used above to arrive at the figure of 0.2 kPa 1−1 apply equally well if flow is in an inspiratory or an expiratory direction: they are a property of the tube, not the direction of the flow.

Summary 1

• Flow only takes place from high to low pressure.

• Radius is the most important determinant of flow in a tube.

• Airway resistance only exists when air is flowing.

The clinical situation

Airways resistance changes in disease and its measurement has been the focus of interest of doctors for many years. Measurement of airflow is not difficult and is usually accomplished using an instrument known as a pneumotachograph, which itself illustrates the principle of airways resistance. The pneumotachograph consists of a tube through which the subject breathes (Fig. 4.6).

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Fig. 4.6 The pneumotachograph, which is used to measure airflow, consists of a tube containing a gauze with low resistance to airflow through it. The pressure difference across the gauze can be measured and is proportional to the flow. In the direction shown P1 > P2 in reverse direction of flow P1 < P2.

The tube contains a resistance to flow. The pressure difference across the resistance is measured and is proportional to the flow.

Flow can then be instantaneously integrated (which is adding up moment by moment all the measurements of flow) to give volume.

Measurement of the driving pressure from alveoli to lips, or lips to alveoli, in a subject or patient is more difficult.

One way of getting round the problem of measuring the driving pressure is to use the fact that it is the change in alveolar pressure that brings about flow and stretches the lungs against recoil pressure. Consider the changes in intrapleural pressure and recoil pressure due to the elasticity of the lungs in a single respiratory cycle (Fig. 4.7).

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Fig. 4.7 Determination of airways resistance (Raw) by measurement of airflow and intrapleural pressure, which is measured by the rather unpleasant procedure of getting the subject to swallow a small air-filled balloon on the end of a catheter. The swallowed balloon is withdrawn from the stomach into the oesophagus, where it measures changes in pressure that match changes in intrapleural pressure.

Subtract changes in recoil pressure from changes in intrapleural pressure and you are left with the changes in alveolar pressure that produce changes in airflow – the two variables we are interested in to measure resistance. This subtraction process can be done instantaneously electronically, and so we need to know the changes in recoil pressure, which can be worked out from lung compliance, and the changes in intrapleural pressure, which we obtain by measuring changes in the pressure inside the oesophagus passing through the intrapleural space.

Measuring pressure inside the oesophagus involves swallowing a pressure-measuring device, which initially goes down into the stomach and is then pulled back into the oesophagus. You can imagine that this is not very comfortable, and other techniques are generally used with patients.

The interrupter technique

This depends on interrupting the flow of air out of the lungs with a rapidly closing shutter in the tube through which the subject is breathing. The pressure at the lips very rapidly rises to equal alveolar pressure, and you can say that the pressure you measure at the lips is the pressure in the alveoli a fraction of a second before the shutter closes. This is the pressure that was producing flow just before the shutter closed. Using these values of pressure and flow, airways resistance is calculated.

The whole-body plethysmograph

This consists of an airtight box in which the subject sits. It depends on the principle that the total quantity of air in the box (inside the patient’s lungs and around him in the box) is the same throughout the measurement – the box is airtight. The patient first pants against a closed shutter while the pressure changes in his mouth and the pressure changes in the box are measured simultaneously. The pressure changes at his mouth are assumed to be the same as those in the alveoli (by the same arguments as in the interrupter technique above). Pressure changes in the box while the patient is panting because he is compressing and decompressing the air in his lungs and therefore changing the volume of his chest in the closed box. (Consider him like the syringe in Figure 4.8: when he compresses the air in his chest he decompresses the air in the box, and when he decompresses the air in his chest he compresses the air in the box.)

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Fig. 4.8 Measurement of airways resistance using a whole-body plethysmograph (body box). Calibration of the relationship between the alveolar pressure and box pressure is being determined in (A), where the subject pants against a closed shutter. Because there is no airflow while the shutter is closed, changes in pressure measured at the mouth are the same as changes in pressure at the alveoli. (B) Airway resistance (Raw) is being measured while the subject breathes through a pneumotachograph which measures flow, while changes in box pressure are converted into changes in alveolar pressure.

The pressure changes in the box are therefore related to pressure changes in the alveoli, and so by measuring box pressure change and flow while the patient breathes through a pneumotachograph, we can measure his airways resistance. Other uses of the whole-body plethysmograph are described in Chapter 11.

Sites of airways resistance

Total airways resistance becomes less during inspiration and greater during expiration owing to physical and reflex changes in almost all parts of the respiratory tract. Airways resistance is also not distributed uniformly along the respiratory tract: almost half the total resides in the nose, pharynx and larynx. The vocal folds of the larynx reflexly open during inspiration, reducing resistance, and come close together during expiration, forming an ‘expiratory brake’ preventing too-rapid collapse of the lungs. The significant resistance provided by the nose is a common experience, especially when the mucosa has become engorged because of the common cold. Even in health, where the resistance of breathing through the nose is approximately twice that of breathing through the mouth, we change to mouth breathing during exercise as a result of a reflex whose details are still not clear. An interesting point which may be raised here is that in babies the reverse distribution of resistance is the case, which is convenient as babies spend much of their time suckling.

Of the approximately half total airway resistance existing below the larynx 80% resides in the trachea and bronchi. This is difficult to reconcile with Poiseuilles’s law (p. 46, 156) that the airway resistance of a tube is proportional to the fourth power of its radius, as the trachea and main bronchi are the largest tubes in the bronchial tree. The explanation for this is that the number of airways doubles at each airway branching (each airway normally splits into two daughters), therefore the number (n) at each generation (g) (see p. 15) is n = g2, starting with the two main bronchi as generation 1 (Fig. 4.9). This rapid increase in numbers more than offsets the decrease in diameter of the individual members of each generation, and the total cross-sectional area increases dramatically. The bronchi extend from generation 1 to 16, with the small bronchi (generations 5–11; 3.5–1 mm diameter) not being directly attached to the lung parenchyma. They are supported against collapse by cartilage and the transmural pressure gradient, which it is now believed rarely reverses sufficiently to cause complete collapse of these airways.

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Fig. 4.9 Lung airway architecture. (A) How airway diameter and total cross-sectional area change with successive generations of the bronchial tree. (B) Change in total cross-sectional area represented three-dimensionally. (from data of Weibel, 1964)

The bronchi give rise to such an enormous number of bronchioles that less than 20% of the total resistance to flow resides in airways less than 2 mm diameter. For this reason a considerable number of these smaller airways must be damaged by disease before it has any effect on total airway resistance.

It is also very difficult to measure changes in their resistance, and so we are less informed about them than about the larger airways.

At the other extreme of the size range are the large airways, the trachea and main bronchi. Because these are few in number they form the narrowest part of the bronchial tree, but are well armoured against collapse by incomplete rings of cartilage in their walls. Even they can, however, be profoundly influenced by physiological conditions, such as cough, where positive pressure surrounding them squeezes them shut.

The most important parts of the bronchial tree in terms of physiological control of airways resistance are the smaller bronchi and bronchioles. Not only do they contain virtually no supporting cartilage, but innervated smooth muscle, which can contract to reduce their diameter, makes up a large part of their walls. In addition, they are found at a level in the bronchial tree where the increase in number of airways has not yet exerted its effect (generations 7–14; Fig. 4.9), and therefore cross-sectional area is relatively small. If the airways resistance of each generation is compared the small bronchi are seen to have less resistance than the larger generations (Fig. 4.10). However, the important point is that the resistance of these smaller airways is variable (particularly in disease) and is under the influence of bronchomotor tone. Their content of smooth muscle and lack of support by cartilage makes these airways prone to influence by neural and hormonal factors that affect their muscle tone, and physical factors such as the pull of surrounding tissue (radial traction, see p. 53). Their position at a relatively narrow part of the bronchial tree makes them particularly important in terms of obstruction by inflammatory swelling or mucus.

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Fig. 4.10 The resistance of airways making up individual generations. Note that the generations with the greatest resistance are not those made up of airways with the smallest diameter. (from data of Pedley et al., 1970)

Summary 2

• To calculate airways resistance we need to know driving pressure and rate of air-flow.

• About half airways resistance is found above the larynx, and half below.

• About 80% of the lower airways resistance is found in the trachea and main bronchi; this value is fairly fixed.

• The most variable portion of airways resistance is in the small bronchi and bronchioles whose diameter is controlled by smooth muscle bronchomotor tone.

Asthma and airways smooth muscle

Asthma affects more than 7% of the population of industrialized countries and its incidence is increasing. It can be described as a recurrent ‘reversible’ obstruction of the airways, an important component of which is spasm of bronchial smooth muscle. This is not the complete picture, however, because the characteristic features of asthma are bronchial hyperresponsiveness together with inflammatory changes in the airways, and it is becoming evident that the inflammatory changes may be causally related to the hyperresponsiveness. In all asthmatics the hyperresponsiveness of the airways extends to non-specific irritants such as cold air, smoke and exercise, which would not provoke a normal individual. Between attacks the patient frequently has no symptoms, although the inflammation persists.

A fall in FEV1, FEV1/FVC% and peak flow are all indicative of an asthma attack. The patient may be dyspnoeic, with breathing laboured and involving the accessory muscles of respiration. The picture the patient presents is clearly of someone labouring to breathe through a narrow tube. Any sputum produced is scant and viscid. Most asthma attacks can be divided into two phases:

• The immediate phase – due mainly to spasm of bronchial smooth muscle, and

• The late phase – an acute inflammatory reaction.

Rational treatment of the condition addresses the aetiology of these phases (see Pharmacological treatment of asthma, p. 50) and must involve an understanding of the origins of bronchomotor tone.

Case 4.1   Airflow in the respiratory system: 1

Asthma

Mr Graham is a 25-year-old man who suffers from asthma. He has had the condition since he was a boy. He finds that his asthma is brought on by domestic animals such as cats and dogs, as well as by cold or windy weather, or if he exercises too hard. However, his condition is kept under control with the inhalers that he takes. Twice a day he takes two inhaled doses of beclometasone, and he always keeps with him a salbutamol inhaler which he uses as and when he needs to, if he gets wheezy. The salbutamol inhaler nearly always relieves his asthma.

In this chapter we will consider:

1. The pathophysiology of asthma.

2. What provokes an asthma attack.

3. The drug treatment of asthma.

Bronchomotor tone

The tension in the walls of the bronchi is the major determinant of their diameter. This tension is in turn determined by bronchial smooth muscle tone.

Physiological control of airways smooth muscle involves several mechanisms (Fig. 4.11).

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Fig. 4.11 Factors that affect bronchomotor tone. These are implicated in early- and late-phase asthma. (NANC, non-adrenergic non-cholinergic nerve; VIP, vasoactive intestinal peptide; NO, nitric oxide; RAR, rapidly adapting pulmonary sensory receptor; PSR, slowly adapting pulmonary sensory receptor.)

Disordered physiological control of airway smooth muscle represents a major feature of asthma and other pathological conditions where the airways are hyperreactive. Multiunit smooth muscle is the motive force controlling the tension in the walls of the bronchi, and therefore in many cases their diameter. These muscle fibres are in turn controlled by:

• Parasympathic nerves. Efferent preganglionic fibres of this most important system run in the vagus nerve to ganglia located in the wall of the small bronchi. Postganglionic fibres release acetylcholine, which stimulates muscarinic receptors on the smooth muscle fibres, causing them to contract. Atropine blocks these receptors, and injections of atropine in a normal individual can reduce airways resistance by about 30%. This limited response demonstrates that parasympathetic nerves, though important, are not the only method of bronchomotor control.

• Sympathetic nerves. Most organs with a parasympathetic nerve supply also have a sympathetic input. In the case of the lungs this nerve supply does not extend as far as the bronchial smooth muscle. Any sympathetic effects seen in the lung are due to circulating catacholamines. The general lack of importance of nerves to lung function is demonstrated by the success of lung transplants, in which the donated lungs are completely denervated.

• Circulating catecholamines. The membrane of airways smooth muscle carries β2 receptors which, when stimulated by the naturally occurring catecholamine adrenaline (epinephrine), or drugs such as salbutamol, relax smooth muscle, inhibit the action of mast cells and improve mucociliary activity. They therefore form an important treatment for asthma. α-Adrenergic agents only cause contraction of bronchial smooth muscle in diseased states.

• Non-adrenergic non-cholinergic systems (NANC). The airways are also provided with an autonomic nerve supply which is neither adrenergic nor cholinergic. The efferent fibres run in the vagus nerves and mainly release an inhibitory neurotransmitter which relaxes the airways. The identity of the transmitter is still open to question, although vasoactive intestinal peptide (VIP) and nitric oxide are strong candidates. This NANC inhibitory system is the main neurotransmitter-mediated relaxant system of the airways. However, bronchoconstrictor NANC mediators can also be released by this system. They included substance P and neurokinin A, which may have a role in the delayed phase of asthma.

• Mast cell degranulation. Mast cells are plentiful in the walls of the airways. Allergens interact with IgE antibodies on their surface, causing them to undergo the process of degranulation, which is the rapid release (within 30 s) of preformed mediators, including histamine, heparin, serotonin, lysosomal enzymes and chemotactic factors. Prostaglandins and slow-reacting substances are synthesized and released some time later. It is now accepted that mast cell degranulation is responsible for less than 30% of the bronchoconstriction of asthma, let alone the physiological control of bronchiolar smooth muscle.

• Neutrophils and eosinophils. Although degranulation of mast cells is of limited importance in the physiological control of airway resistance, and its role restricted to the immediate phase of asthma, neutrophil and eosinophil chemotactic factors are of such importance in the late (inflammatory) phase that is has been suggested that asthma should be called ‘chronic desquamating eosinophilic bronchiolitis’, because of the degree of involvement of these cell types.

• Rapidly adapting pulmonary receptors (irritant and cough receptors). Stimulation of these receptors in the airways by inhalation of particles, chemicals, or by disease provokes contraction of airways smooth muscle by a reflex with both its arms in the vagus nerves. This contraction of the airways may improve the efficiency of coughing, but is not helpful in conditions of asthma.

• Slowly adapting pulmonary receptors. These receptors also have their afferent nerves in the vagus. Their activity reduces bronchomotor tone. They are stimulated by stretching the lungs, so a large breath – a sigh, for example – dilates the airways both by passive stretch and by this reflex effect.

• Carbon dioxide. This gas causes bronchodilation by direct relaxing action on the bronchial smooth muscle. In those parts of the lung that are underventilated carbon dioxide will build up, dilate the airways and improve ventilation locally.

The factors involved in the immediate and late phases of asthma which influence bronchomotor tone are illustrated in Figure 4.11.

Asthma and other hyperreactive airways diseases that change bronchomotor tone are said to be reversible – the physiological changes which are the manifestations of the disease can be reversed spontaneously or as a result of treatment.

Pharmacological treatment of asthma

Although asthma is frequently referred to as ‘reversible’ obstruction of the airways, as opposed to the ‘chronic’ obstruction of bronchitis, acute severe asthma (status asthmaticus) may last for several days and in some cases be so irreversible as to be fatal.

The treatment of asthma may address the early (bronchoconstrictor) or late (inflammatory) phases of the disease frequently with drugs delivered directly to the airway, as droplets produced by a nebulizer. One of the many types used in hospitals in shown in Figure 4.12.

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Fig. 4.12 A nebulizer. The flow of oxygen picks up droplets of the drug in the chamber of the nebulizer. Larger droplets are removed by directing the aerosol stream against a buffer. This leaves only fine droplets behind, which are able to reach the airways when inhaled from the mask.

Bronchodilators – early phase treatment

• β2 Adrenoreceptor agonists – These include salbutamol and terbutaline, which are usually given as an aerosol. These drugs act directly to relax bronchial smooth muscle, and also inhibit degranulation of mast cells.

• Xanthines – Of these, aminophylline is often the first choice of treatment for an acute attack. The mode of action of theophylline is still unclear, but may involve enzyme inhibition in bronchial smooth muscle.

• Muscarinic receptor antagonists – By blocking the activity of parasympathetic (vagal) nerves on the bronchial smooth muscle, drugs such as ipratropium bromide reduce any reflex component of an asthmatic attack.

Anti-inflammatories – late-phase treatment

• Glucocorticoids – given prophylactically as an aerosol, beclometasone, betamethasone or budesonide inhibit the late-phase response by inhibiting the generation of PAF (platelet-activating factor) and eicosanoids from mast cells, platelets, macrophages and eosinophils.

• Sodium cromoglicate – used prophylactically, cromoglicate appears to reduce hyperreactivity by depressing axon reflexes triggered by stimulation of rapidly adapting (irritant) receptors in the airways.

• Histamine receptor antagonists – H1 antagonists such as azelastine and ketotifen are being used in mild asthma as a supplement for other drugs used in the early phase.

Clinical definitions

In the spectrum of obstructive pulmonary disease, between the ‘reversible airway obstruction’ of asthma and irreversible diseases such as emphysema, which are permanent – in the case of emphysema, as a result of loss of lung tissue – comes chronic bronchitis, which is almost inevitably associated with a greater or lesser degree of emphysema. The bronchitic element of this combination of diseases is fairly easily diagnosed by the chronic production of mucus. The emphysematous component is much more difficult to quantify during life and so, if for no other reason, the term chronic obstructive pulmonary disease (COPD) is useful to describe this combination, if only to cover our uncertainty.

Case 4.1   Airflow in the respiratory system: 2

The physiology of asthma

Asthma is a disease of the airways characterized by short-term episodes of bronchoconstriction. These can be so severe that the flow of gas along the airways is significantly reduced, leading to difficulty in breathing.

Airway narrowing, which is the principal feature of asthma, is brought about by the contraction of smooth muscle in the walls of the airways. Bronchial smooth muscle can contract in all individuals and hence the diameter of the airways changes, but the effect on ventilation is usually negligible. In asthmatics, the changes in airways diameter are exaggerated and the airways respond to stimuli which in non-asthmatics would be innocuous. These two effects are together called bronchial hyperreactivity. Bronchial hyperreactivity is related to an underlying inflammation of the bronchial mucosa. The mucosa of asthmatics is thickened and infiltrated with inflammatory cells. During an asthma attack, chemical mediators released by the inflammatory cells cause contraction of the underlying bronchial smooth muscle. In addition, these secretions may also cause thickening of the mucosa and excessive mucous secretions in the airways which can lead to plugging of the smaller airways.

In many asthmatics bronchial hyperreactivity is closely associated with an increased sensitivity of the immune system to everyday substances in the environment. This increased sensitivity is called atopy. Atopy is also associated with conditions such as eczema. Clinically, this sensitivity may be demonstrated by a characteristic skin-wheal reaction to common environmental substances.

Atopic individuals readily produce antibodies of the IgE class to a variety of environmental allergens. It is thought that these antibodies attach to mast cells in the airways. Mast cells are part of the immune system, and when an antigen binds to IgE on their surface they release a range of substances, including prostaglandins, leukotrienes and histamine. It is thought that these substances are responsible for triggering bronchoconstriction in susceptible individuals. Asthma related to atopy is particularly common in children.

Asthma is not confined to atopic individuals and is not necessarily provoked by environmental antigens. This is particularly the case in asthmatics who are diagnosed later in life. Asthmatics who respond to environmental stimuli are sometimes referred to as having extrinsic asthma, whereas those who do not have intrinsic asthma.

Asthma is diagnosed on the basis of the symptoms of episodic wheeze, breathlessness, and often cough. These symptoms are often worse at night and may be brought on by trigger agents, as described above. Diagnosis is also helped by lung function tests, particularly forced expiration spirography and measurement of peak expiratory flow.

The principle behind measuring forced vital capacity (FVC) and forced expiratory volume in one second (FEV1) is explained in Chapter 11. Figure 4.13A shows a forced expiratory spirogram which Mr Graham made one day at the clinic when he was feeling a little wheezy. After making the recording Mr Graham used his salbutamol inhaler, which relieved his wheeziness. He then made a second forced expiratory spirogram, shown in Figure 4.13B.

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Fig. 4.13 Forced expiratory spirograms recorded from Mr Graham. Recording A was made while Mr Graham was feeling a bit wheezy. Recording B was made after Mr Graham had taken a dose of salbutamol from his inhaler. In recording A, the FEV1 is very much reduced although the FVC is essentially little different from normal. This means that the FEV1/FVC ratio is reduced, indicating an obstructive respiratory defect.

The spirogram in Figure 4.13A shows a reduced FEV1, although the FVC is not particularly abnormal. In other words, the FEV1/FVC ratio is reduced, indicating an obstructive abnormality. Following the administration of salbutamol the airway narrowing is reversed and the obstructive pattern on the spirogram improves. This reversibility of airway narrowing is characteristic of asthma.

Bronchitis and mucus

The airways are lined from nose to alveoli by a watery layer containing mucus. The normal mucus film within the lungs is approximately 5–10 μm thick and consists of two layers, the layer next to the airway wall is more watery to allow the cilia of the ciliary escalator to work, brushing the overlying more viscous layer, together with any foreign particles it contains, towards the mouth. Mucus is produced by ducted seromucous glands deep in the bronchial walls and goblet cells in the bronchial epithelium. The accumulation of mucus results from excess production, drying of the surface, failure of the ciliary escalator to clear it, or infection making it too viscous to be moved. This results effectively in a narrowing or total blockage of the airways (Fig. 4.14). The secretion of mucus is normally controlled by vagal reflexes and local chemical stimulation. Curry and other spicy foods provoke the vagal reflex, and tobacco smoke stimulates both mechanisms. In extreme cases of bronchitis mucus can solidify into tiny solid casts of the small airways, and chronic bronchitic patients cough up these casts.

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Fig. 4.14 Bronchitis with mucus totally blocking the airway lumen. (Source: Stevens et al., 2002.)

Bronchitis, known to the French as ‘the English disease’, is defined clinically by the excessive production of lung mucus. A firm diagnosis is based on expectoration on most days for at least 3 months during two successive years. The pathology that produces this excessive mucus is hypertrophy of the mucous glands of the large bronchi. The Reid Index (pp. 17–18), which is normally 0.4, may exceed 0.7. The smaller airways, which some authorities believe undergo the initial pathological changes, are narrowed and inflamed and show oedematous changes in their walls. The pathogenesis of bronchitis is clearly linked to tobacco smoking. Air pollution plays a secondary role.

Summary 3

• Bronchomotor tone is controlled by parasympathetic nerves, sympathetic nerves, circulating catacholamines NANC nerves, mast cells, neutrophils, pulmonary stretch and rapidly adapting receptors.

• Negative intrapleural pressure is transmitted to the outer wall of the airways by radial traction.

Emphysema and radial traction

The general connective tissue that surrounds the airways in the lungs is called the parenchyma. It forms a sort of scaffold round the airways, holding them open by what is called radial traction. As the lung expands during inspiration the traction increases as the fibres that make up the parenchyma are stretched. The importance of radial traction is grasped when you return to the concept of the airway resistance being inversely proportional to the fourth power of the radius of the airway. If the scaffold of the parenchyma was completely rigid (which of course it is not), doubling the length, breadth and height of a cube of lung tissue would increase its volume eight times, but this would theoretically (Poiseuille’s Law) increase the conductance of an airway in that cube 24 times, i.e. 16 times.

The effect of radial traction is less profound than this at the lung volumes involved in normal breathing, with changes in resistance due to this effect being proportional to lung volume. The effect is, however, of great importance at low lung volumes, with the airways collapsing when radial support disappears. At this point airways resistance begins to increase dramatically (Fig. 4.15).

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Fig. 4.15 The relationship between lung volume, airways resistance (Raw) and airways conductance (Gaw). Gaw, 1/Raw; Gaw is frequently used clinically in the form of specific conductance (Gaw. VL), which takes into account the different lung sizes of different subjects.

Because of the weight of overlying tissue this closure begins first in the lower lobes of the lungs at a volume known as closing capacity (CC). In young people closing capacity is less than FRC and so closing does not occur during normal breathing. At about 65 years it becomes equal to FRC in the upright position, and greater than FRC when supine. Under these conditions blood is shunted (see p. 97) through the lungs without coming into contact with air, and this is an important aspect of desaturation of arterial blood with increasing age. Closure of the airways can be prevented by increasing the pressure within them, and many patients whose airways are closing in this way intuitively exhale through pursed lips, the positive pressure within the airway produced by this ‘pursed lip breathing’ helping keep their airways open.

The support provided to the airway by radial traction is diminished in that important component of COPD, emphysema (bronchitis being the other component).

Emphysema is defined anatomically as an irreversible increase in the size of air spaces distal to the terminal bronchioles. The destruction of lung parenchyma that brings about this increase in size is now generally agreed to be due to uncontrolled action of proteolytic enzymes from leukocytes associated with pulmonary inflammation (Fig. 4.16). Cigarette smoke is again a major villain in the piece, stimulating elastase release from neutrophils. Lung elastase is normally inhibited by antiprotease enzymes, the most important of which is a1-antitrypsin. About 1 in 4000 people has a genetic deficiency of α1-antitrypsin, and therefore have a predisposition towards emphysema.

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Fig. 4.16 Normal (A) and emphysematous lungs (B). (Source: Stevens et al., 2002).

Airway collapse, owing to loss of radial traction, is exacerbated by changes in transmural pressure which brings about flow-related airway collapse, which we will consider next.

Case 4.1   Airflow in the respiratory system: 3

What provokes an asthma attack in patients with extrinsic asthma?

One day, Mr Graham suffered a particularly bad attack of asthma. He had had a cold for a week or so, but apart from that there did not seem to be any particular trigger for his attack. However, he became increasingly wheezy and found it more and more difficult to breathe. He found it especially difficult to exhale. He used his salbutamol inhaler several times but did not get any relief from it. Mr Graham’s wife became increasingly worried about him and decided to call an ambulance. In the ambulance, Mr Graham was given oxygen to breathe and he was taken to hospital, where he was examined by the emergency doctor. The doctor noted that Mr Graham’s respiratory rate was over 30 breaths per minute and that his chest was very expanded. On auscultation, the air entry into Mr Graham’s lungs was reduced and there were wheezes throughout his chest. The doctor asked Mr Graham to perform a peak expiratory flow test. Mr Graham’s peak expiratory flow was about two-thirds of his normal value.

In most patients with asthma, a range of ‘triggers’ provokes attacks of bronchoconstriction. Such triggers include specific allergens, other non-specific substances, exercise and drugs.

Allergens

Allergens are foreign substances that are able to provoke an immune response in susceptible individuals. In patients with extrinsic asthma, an attack of bronchoconstriction may be provoked by exposure either to a specific allergen or to a range of allergens. The commonest allergen responsible for provoking asthma is a protein derived from the faeces of the house-dust mite, which lives in warm locations such as bedding and feeds on scales of shed human skin. For many asthmatic patients the presence of animals, such as cats, dogs and birds, can provoke bronchoconstriction. In these cases, the allergen responsible is derived from animal skin, fur, feathers or excreta. Allergens derived from pollen, particularly grass pollen, can provoke asthma as well as causing hayfever. In such cases, asthma may be confined to certain seasons of the year. Although the allergen normally has to be inhaled to provoke bronchoconstriction, in a small number of patients an attack of asthma may be provoked by eating specific foods or chemicals.

Non-specific provokers of asthma

As well as reacting to specific allergens, the hyperreactive airways of asthmatic patients may also respond to a wide range of substances, including strong smells, dusts, vapours, smoke (including tobacco smoke) and airborne chemicals. These agents are thought to act directly on the airway itself, and an immune response is not provoked.

Exercise

In many patients, asthma may be provoked by exercise. The exact mechanism by which this occurs is not clear, but it is likely that cooling of hyperreactive airways may have an important role to play, as exercise-induced asthma often occurs more readily during cold weather. Drying of the airway mucosa may also play a role, as many asthmatics report that swimming is less likely to induce bronchospasm than other forms of exercise.

Drugs

A variety of drugs are known to induce asthma. Aspirin and other anti-inflammatory drugs can provoke bronchoconstriction in a small proportion of asthmatics. This action is probably brought about because these drugs interfere with the production of prostaglandins and leukotrienes, and an upset in the balance of these substances in the airway may cause bronchoconstriction. β-blocking drugs are also prone to producing bronchoconstriction in asthmatic patients, presumably by blocking β2 receptors on the bronchial smooth muscle, although these drugs may also influence cells of the immune system.

Emotions

In many patients a strong emotional response may result in an attack of bronchoconstriction. This is presumably mediated by a central neural mechanism.

Intrapleural pressure and cough

During normal quiet breathing intrapleural pressure is always considerably negative relative to the atmosphere. In the airway, right down to the alveoli during quiet breathing, the pressure is only slightly below atmospheric during inspiration and only slightly above during expiration.

This means the transmural pressure (across the airway wall) always tends to keep the airway open. This of course applies only to the airways surrounded by the intrapleural pressure, the intrathoracic airways. Part of the trachea, for example, is extrathoracic and does not come into the following discussion.

When breathing becomes vigorous and expiration becomes active, conditions change. Passive expiration comes about because the elastic recoil of the lungs draws in the chest wall, which tends to spring out during normal tidal breathing. This action maintains a negative intrapleural pressure (see Fig. 3.2). When expiration is active, however, the internal intercostals and the abdominal muscles ‘squash’ the air out of the lungs by making intrapleural pressure positive with respect to the air in the airways. This can lead to dynamic airway collapse, with its associated expiratory flow limitation.

Under conditions of dynamic collapse the airways behave like a Starling Resistor (named after the physiologist who first described it). The Starling Resistor arises when air is being driven through a flexible tube by a pressure which is applied to the outside of the tube as well as the inside (Fig. 4.17). Inside the tube the pressure is being used up to drive the air along, and therefore pressure inside the tube falls from left to right. Outside the tube the pressure stays the same along the whole length of the tube. At a point somewhere along the tube the outside pressure exceeds the inside pressure and the tube collapses.

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Fig. 4.17 A Starling Resistor. In this a flexible tube is surrounded by a uniform pressure. Pressure drives air along the tube. As this driving pressure is used up it falls until an equal pressure point is reached, where the internal and external pressures are equal. Downstream from that point the pressure around the wall of the tube is greater than the pressure inside, and causes it to collapse, frequently in an unstable vibrating manner.

The concept of equal pressure point, where the pressures inside and outside the airway are equal, is frequently used to describe the state of the lungs in obstructive disease. At the equal pressure point the rigidity of the wall and surrounding parenchyma is the only factor holding the airway open. As lung volume decreases during expiration the equal pressure point moves progressively toward the smaller airways as the contribution to the pressure within the airways from elastic recoil is reduced (Fig. 4.18).

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Fig. 4.18 Transmural pressure in intrathoracic airways. The pressure inside intrathoracic airways is usually not very far from atmospheric, which tends to keep them open because the pressure around the airways is usually negative (subatmospheric). During a forced expiration, however, the pressure may become positive and equal to that within the airway (an equal pressure point, EPP). The pressure within the airway downstream of the EPP is less than intrapleural pressure, and the airway there tends to collapse.

Collapsed areas trap air behind them, within the lung. Extra expiratory effort does not relieve this trapping, as it simply presses the collapsed area more firmly shut. In healthy lungs these conditions do not occur above functional residual capacity. In lungs affected by damage to the airway wall, or when the supporting parenchyma has been destroyed, collapse takes place at higher volumes. During expiration the collapsing segment vibrates and is a major source of the wheeze heard in many lung diseases. In emphysema the destruction of the supporting parenchyma is clearly the cause of loss of support of the airways; in asthma it is the high bronchomotor tone and oedema of the airways that augments collapse and increases the rate of pressure drop along the airway.

Case 4.1   Airflow in the respiratory system: 4

Treatment of asthma

After examining him, the emergency doctor gave Mr Graham some nebulized salbutamol, the same drug as in Mr Graham’s inhaler. However, whereas Mr Graham’s inhaler administers a dose of 100 μg each time it is used, the doctor put 5 mg of salbutamol into the nebulizer. The nebulizer produces a fine aerosol of drug in a flow of oxygen. Mr Graham inhaled the aerosol, although only a very small proportion of it would have reached his lungs. Figure 4.12 shows a nebulizer of the type that might be used. In addition, the doctor administered some intravenous steroids to Mr Graham.

Fortunately, Mr Graham’s condition began to improve with the nebulizer salbutamol. He was nevertheless admitted to hospital and received regular nebulized salbutamol. The next day he left hospital.

As we have already established there are a number of components to asthma. The airways are hyperreactive, resulting in constriction of the bronchial smooth muscle; there is a generalized inflammation of the airway mucosa, and in many cases the immune system is involved. Treatments for asthma are aimed at either:

1. relieving bronchoconstriction

2. reducing airway inflammation

3. influencing the immune system.

Relief of bronchoconstriction

Drugs that relieve bronchoconstriction act either to stimulate β2 adrenoceptors or to block cholinergic receptors on the membranes of bronchial smooth muscle cells.

β2-Adrenergic agonists

Activation of these receptors causes an increase in cyclic AMP in the cell cytoplasm, which triggers muscle relaxation. Drugs in this class include salbutamol and terbutaline, and they can be administered during attacks of bronchoconstriction or can be taken regularly to prevent attacks from occurring. They are generally administered with an inhaler or a nebulizer directly into the airways, although they may also be administered orally or even intravenously. In severe asthma attacks they are regarded as the first line of treatment.

Anticholinergic drugs

These drugs act by blocking the muscarinic acetylcholine receptors on the bronchial smooth muscle, reversing the bronchoconstriction produced by activation of these receptors. They may also reduce bronchial secretions by blocking the parasympathetic innervation of submucosal glands in the bronchial tree. Drugs of this class include ipratropium. They are usually administered with an inhaler or a nebulizer and are usually regarded as being more effective in older patients with asthma.

Aminophylline/theophylline

These drugs act on the bronchial smooth muscle. They increase the levels of cyclic AMP in the cytoplasm by blocking the enzyme phosphodiesterase, which is responsible for breaking down cyclic AMP. A rise in cyclic AMP in the smooth muscle cells causes them to relax.

Drugs that relieve airway inflammation

Corticosteroids

Steroids have an anti-inflammatory effect and are more effective in the prevention of asthma rather than in the treatment of an acute attack. They reduce the inflammation in the airways and also modulate the immune response to allergens. Steroids can be administered via an inhaler. In this way an effective dose is administered but many of the side effects of steroids can be avoided, as the blood concentration of the drug remains low. However, some patients need to take steroids orally. Whichever route is used, it is important that steroids are taken regularly to be effective. Although steroids are usually given during an acute attack, it probably takes some considerable time for them to have an acute effect.

Drugs that influence the immune system

Sodium cromoglicate

The exact mode of action of this drug is not known, but it is thought that one of its actions is to ‘stabilize’ mast cells and prevent them from releasing bronchoconstrictor mediators. Like steroids, cromoglicate must be taken regularly and is a drug which is used to prevent asthma rather than to treat an acute attack.

Clinical tests for changes in resistance

Producing flow volume curves is rather the province of the specialized lung function laboratory, and tests used on a daily basis, either in the general practitioner’s clinic or in the patient’s home are usually Forced Expired Volume in 1 second (FEV1) or 0.75 seconds (FEV0.75), obtained from any one of a variety of types of spirometer, or Peak Expiratory Flow, where the patient’s maximum expiratory effort blows a paddle along the tube of a Peak-Flow Meter – the higher the peak flow the further the paddle goes.

A most useful test for obstructive diseases is the flow/volume curve, or loop, which is obtained by a method described in Chapter 11. The peak flow obtained at large lung volumes depends largely on effort (Fig. 4.19), but to-ward the end of expiration there is an effort-independent segment of the loop where expiratory flow is determined by airway collapse below the equal pressure point. The alteration in this loop by disease is also dealt with in Chapter 11.

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Fig. 4.19 Normal flow–volume loops. These were obtained using three different expiratory efforts. Note that all three loops meet in an effort-independent segment. Flow in this condition is being limited by airways collapse. A normal tidal volume breath is shown for comparison.

Work of breathing

Breathing requires work to be done, mainly to overcome airway resistance and to stretch the lungs and chest wall. It is interesting but not obvious that part of the work of expanding the lungs and chest during inspiration is recovered as the elastic recoil during expiration, which is used to expel the inspired air from the lungs (rather as an archer stores up elastic energy in his bow by pulling back the arrow in one direction, and releases it by allowing the arrow to go in the other direction). At rest the work of breathing accounts for less than 5% of our metabolic rate. This small fraction is not due to the efficiency of our respiratory systems, which is low: only 10% of the energy used is converted into useful work.

Work is defined in the physical sciences as the product of a force × the distance it moves its point of application. In a three-dimensional system such as the respiratory system this translates into:

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This is illustrated in Figure 4.20, where work in a lung is the product of the volume change and the pressure change producing it.

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Fig. 4.20 The work of breathing. This is the product of volume change × pressure change. If either of these remains the same (A), no work of breathing is done. Panel (B) is an artificial situation used to demonstrate how work of breathing is calculated: if the lung (or balloon, say) is completely non-elastic and is inflated from A to B it will stay there (like a piece of putty which has been stretched) and the work put into it will be the area ABC. If the lung or balloon is perfectly elastic, once the inflating pressure is released it will return from B to A, giving up all the energy that has been put into it. This straight diagonal line (shown dotted in subsequent panels) is the energy put into the compliance of the lung and is recovered in expiration. In normal quiet breathing (C), the work done in inspiration which is not recovered during expiration but is lost largely in overcoming airways resistance is to the right of the diagonal. If breathing is made deep and slow (E) or rapid and shallow (D), more work than normal is required to achieve the same ventilation as in (C).

In panel (a), if either volume or pressure does not change no useful work is done. In panel (b) a perfectly elastic lung is very slowly (pseudostatically) inflated. Here the work of inflation is the area of the figure ABC. In panels (c), (d) and (e) different patterns of breathing are seen to require different amounts of work to produce the same ventilation. This is because the work of breathing is made up of work against:

1. the elastic resistance of the tissues

2. airflow resistance.

Deep slow breathing (panel (e) in Fig. 4.20) requires the most work to be done against elastic resistance, whereas rapid shallow breathing (panel (d)) works largely against airways resistance.

So, if you begin breathing slowly and deeply and increase the frequency while reducing the volume, work against elastic resistance decreases and work to produce airflow increases (Fig. 4.21). We automatically choose the best pattern of breathing in terms of work, probably as a result of subliminal information received from mechanoreceptors in the lungs (see Chapter 11).

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Fig. 4.21 Total work of breathing. This is effectively the sum of work done against the elastic recoil of tissue plus the work to produce airflow. These change with frequency of breathing, shown with the sum reaching a minimum at the frequency where the two lines intersect.

This system is quite efficient at minimizing the expenditure of energy by the respiratory muscles (as a fraction of our total energy use), and in healthy subjects the work done in breathing provides ‘good value’ in providing extra oxygen. For example, exercise is rarely limited by the respiratory system using too much energy. In diseased lungs, however, the airway resistance, elastic properties or the control system may be compromised, and the extra work done by the respiratory muscles to provide extra oxygen to the rest of the body during exercise demands more oxygen than it provides (Fig. 4.22), which of course is an untenable situation that limits the exercise.

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Fig. 4.22 Work of breathing at different ventilations. The work of breathing in a normal individual is low until high levels of ventilation are reached, and then begins to rise steeply. Diseased lungs consume more energy at low ventilation, and their requirement increases more rapidly than normal.

Summary 4

• Forced expiration (cough) makes normally negative intrapleural pressure positive.

• When intrapleural pressure is positive there is an ‘equal pressure point’ somewhere along the intrathoracic airways above which transmeural pressure is collapsing the airways.

• The work of breathing is made up of work against elastic resistance of the tissues and against airways resistance.

Further reading

Hoppin, F. G., Hildebrandt, J. Mechanical properties of the lung. In: West J. B., ed. Bioengineering Aspects of the Lung. New York: Marcel Dekker, 1977.

Pedley, T. J., Schroter, R. C., Sudlow, M. F. Gas flow and mixing in airways. In: West J. B., ed. Bioengineering Aspects of the Lung. New York: Marcel Dekker, 1977.

Rodarte, J. R., Rehder, K., Dynamics of respirationMacklem, P. T., Mead, J., eds. Handbook of Physiology, Section 3 The Respiratory System. Vol III. Mechanics of Breathing, Part I. American Physiological Society, Bethesda, MD, 1986:131.

Orehek, J., Neurohumoral control of airway calibreWiddicombe, J. G., eds. MTP International Review of Physiology; Vol 23. University Park Press, Baltimore, 1981:1.

Stevens, A., Lowe, J. S., Young, B. Wheater’s Basic Histopathology, fourth ed. Edinburgh: Churchill Livingstone; 2002.