CARRIAGE OF GASES BY THE BLOOD AND ACID/BASE BALANCE

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8

CARRIAGE OF GASES BY THE BLOOD AND ACID/BASE BALANCE

Introduction

The survival of the cells of our bodies requires the expen-diture of energy. This energy is obtained by the oxidation of food, mainly in the form of glucose:

image (Equation 8.1)

This equation represents the reaction that takes place when we burn sugar (glucose), and when sugar is burned it releases its energy in a single burst, producing a high temperature. Of course this does not happen as a crude single step in our bodies: the reaction takes place in a series of small steps within the mitochondria of the cells, and most of the energy released is immediately stored as adenosine triphosphate (ATP), a high-energy molecule which is made by combining adenosine diphosphate (ADP) with inorganic phosphate:

image (Equation 8.2)

Chemical oxidation can be by the addition of O2 or by the removal of hydrogen (as H+, a proton), and the latter is the mechanism used in the mitochondria. This removal of hydrogen cannot continue indefinitely, as a build-up of H+ would stop the reaction, so the hydrogen is combined with O2 to form water, as in Equation 8.1. This removal of hydrogen leaves behind the elements of CO2 from the glucose. This simplistic description explains why the oxidative metabolism of our mitochondria, which keeps our cells alive, requires O2 and produces CO2 and water.

Oxygen moves into our cells and CO2 moves out by the process of diffusion. In Chapter 6 we learned that there must be a difference in concentration of the diffusing substance for overall diffusion to take place. Outside the cell must have a higher concentration of O2 and a lower concentration of CO2 than inside the cell. High concentrations of O2 and low concentrations of CO2 are the conditions found in the air around us and, to a lesser extent, in the alveolar air. It is the business of the circulation to bring these conditions close to the individual cells.

Blood is a liquid tissue (plasma) containing formed elements (cells). The red blood cells (RBC, erythrocytes) play an important part in the transport of O2 to and CO2 away from the tissues. RBC should strictly be called corpuscles, because they contain no nucleus, but the term cell is in general use.

This exchange of gases between the cells and blood at our tissues is a repeat of the exchange between air and blood at the lungs, and results in the differences in composition between venous and arterial blood shown in Table 8.1. Although the RBCs play an important role in this carriage and exchange (carrying the majority of O2 and processing CO2 at both lungs and tissues), the gases must first enter into simple solution in the plasma before being carried or processed by the RBCs.

Oxygen in the blood is mainly carried in loose combination with haemoglobin (Hb) within the RBC. Carbon dioxide is carried partly in solution, partly in combination with proteins (particularly Hb), but mainly as bicarbonate in the plasma. The carrier mechanisms in blood have evolved so that the uptake or loss of O2 promotes the loss or uptake of CO2 and vice versa, a most useful arrangement.

The addition of CO2 to the blood at the tissues would cause a dangerously large change in acidity if the blood did not contain efficient buffering systems, in particular protein, bicarbonate and phosphate, which take up hydrogen ions added to the blood and release them when the blood becomes more alkaline, thereby buffering (resisting) changes in acidity.

Oxygen transport

Haemoglobin (Hb)

Because we are large and complicated animals most of the cells of our bodies are far removed from the atmosphere. Oxygen has therefore to be carried from the lungs to these cells in the blood. All gases dissolve in water to a greater or lesser extent, but O2 dissolves only to the extent of 3 mL L−1 in the watery plasma leaving the lungs.

While exercising vigorously we may need up to 3 L of O2 per minute. This implies that if O2 was only carried to the tissues in simple solution we would need a blood flow of 1000 L min−1 to supply our bodies with O2. Olympic athletes can increase the output of their hearts to about 30 L min−1 which you can see is still several hundred times too little to supply their tissues with O2. The answer to this problem is that, like all other vertebrates, we have evolved a carrier molecule in the blood which picks up and then releases a great deal of O2. In us this molecule is haemoglobin (Hb).

Haemoglobin has remarkable O2-carrying properties which are related to its molecular structure (Fig. 8.1).

Each haemoglobin molecule consists of a protein (globin) and haem (protoporphyrin and ferrous iron). The globin is made up of four polypeptide chains, each carrying a haem group. This structure is repeated four times in each molecule, which means there are four sites, each capable of carrying one O2 on each Hb molecule. This explains many of the properties of Hb, as we will see in a moment. Each of the four chains can vary in a way which will vary the O2-carrying properties of the blood. The chains are described chemically as α or β, depending on their structure. The types of polypeptides that make them up give rise to the various forms of normal and abnormal Hb.

Adult Hb consists of two α and two β chains, with 141 and 146 amino acid residues per chain, respectively. Each Hb molecule thus has 574 amino acids and four haems, which gives the molecule a weight of about 64 500. Fetal Hb is slightly, but importantly, different. Men have about 150 g L−1 Hb in their blood, women about 130 g L−1.

Oxygen combination with haemoglobin

This reversible reaction can be summarized as follows:

image (Equation 8.3)

which will be driven to the right (to HbO2) by increased Po2 and to the left by low Po2. The Hb of this equation is deoxyhaemoglobin – often, and incorrectly, referred to as ‘reduced haemoglobin’, despite the fact that the Hb is not chemically reduced. The HbO2 in this equation is oxyhaemoglobin, and by the same token that Hb is not chemically oxidized, the combination between Hb and O2 is oxygenation, a much looser combination than oxidation.

Case 8.1   Carriage of gases by the blood and acid/base balance: 2

Why carbon monoxide is poisonous

Carbon monoxide (CO) is a colourless, odourless, tasteless gas formed from the incomplete combustion of organic substances. Poisoning with CO may be the result of inhalation of fumes from a faulty heating system, or the inhalation of smoke from house fires.

CO produces its toxic effect by causing hypoxia in peripheral tissues. It does this by interfering with the transport of oxygen by haemoglobin, and also by interfering with cellular respiration.

CO binds to haemoglobin with an affinity about 250 times that of oxygen, to form carboxyhaemoglobin. Carboxyhae-moglobin cannot carry oxygen, and so the amount of haemoglobin available for the carriage of oxygen is reduced. This means that even if the partial pressure of oxygen in arterial blood is normal and therefore the oxygen saturation of the available haemoglobin is maintained, the oxygen content of the blood is reduced because the amount of haemoglobin available to carry oxygen is reduced. Furthermore, in the presence of carboxyhaemoglobin the oxygen–haemoglobin dissociation curve is distorted and shifted to the left. As a result of this, oxygen tends to remain bound to haemoglobin in the peripheral circulation rather than being released into the tissues. In other words, less oxygen is carried in the circulation, and of the oxygen that is carried, much remains bound to haemoglobin and is not available for tissue respiration.

In addition to these effects on oxygen carriage by the blood, CO also interferes with electron transport in mitochondria and with other cellular processes. Overall, then, its effect is to reduce oxygen delivery to peripheral tissues, and also to reduce the ability of these tissues to use what oxygen they obtain. Cellular ATP levels fall and vital cellular functions begin to fail. In severe cases of poisoning this may lead to impairment of the respiratory and cardiovascular systems, which exacerbates oxygen transport even more.

Each of the four haem groups of the Hb molecule represents a site for combination with O2. It might be more correct to consider each haemoglobin molecule as Hb4, with which association or dissociation with O2 takes place in four steps, in which case Equation 8.3 should be written:

image (Equation 8.4)

It is conceptually useful to consider each Hb molecule as having only four ‘hooks’. On each hook can hang one O2.

The haem and the globin of each molecule are held in a fixed relationship to each other by links (salt bridges) between the polypeptide chains. In each of the steps in Equation 8.4, when a molecule of O2 binds to the iron atom in each haem the molecular shape is distorted, making the attachment of the next O2 molecule easier. This distortion is called an allosteric effect and, together with the fact that there are only four ‘hooks’ for O2 per molecule, explains the sigmoid shape of the graph obtained when we plot percentage saturation of Hb by O2 against Po2 (Fig. 8.2). This S-shaped curve is called the oxyhaemoglobin dissociation curve, and it is so important to our understanding of the transport of O2 that a description of how it is obtained is well worthwhile.

Obtaining a dissociation curve

If you take, say, five test tubes of blood and expose each of them to a different partial pressure of O2 (say 0, 2, 4, 8, 16 kPa O2, as in Fig. 8.2), in each tube a different percentage of haemoglobin will be converted to oxyhaemoglobin, depending on the partial pressure it has been exposed to. Each sample will have a different colour because oxyhaemoglobin is brighter red than haemoglobin (arterial blood is red; venous blood is purple). An instrument called a spectrophotometer can use this colour to measure what percentage of the Hb has been converted to HbO2, and so we can plot a graph of percentage saturation (percentage of the O2-carrying ‘hooks’ occupied) against the Po2 to which that particular sample of blood was exposed (Fig. 8.2A). We have talked about each Hb molecule having four hooks, each of which can carry one O2 molecule. This might suggest that blood can only be 25% (one hook), 50% (two hooks) 75% (three hooks occupied) or 100% (four hooks). This is true for each individual molecule, but would ignore the fact that even a drop of blood contains millions of Hb molecules, any one of which can be carrying from zero to four O2 molecules.

Properties of the oxyhaemoglobin dissociation curve

When 100% saturated (all ‘hooks’ occupied), 1 g of Hb carries about 2 mg – 1.36 ml – of O2 at normal body temperature. Therefore, 1 L of your blood, containing 150 g of Hb, can transport 200 ml of O2 as HbO2. Comparing this with the 3 ml carried in simple solution gives some idea of the advantage of having Hb in our blood.

The carriage of O2 in our blood is not quite as simple as hanging O2 molecules on hooks, like coats on a stand: evolution has refined this already efficient process even further. To understand these refinements requires the definition of four terms:

• Oxygen tension (Po2; kPa). We have met this term before, but revision of its meaning might be useful. Oxygen tension is sometimes called the partial pressure of O2 in solution. The difference in Po2 between two sites determines the rate and direction of diffusion of O2. This is because the partial pressures correspond to the concentrations in solution (Henry’s Law). Thus dissolved O2 will diffuse down its concentration (partial pressure) gradient. The Po2 of active skeletal muscle may be as low as 1 kPa. Arterial blood supplying that muscle has a Po2 of about 13 kPa, and this large pressure difference ‘pushes’ O2 strongly into the tissues.

Case 8.1   Carriage of gases by the blood and acid/base balance: 3

Signs and symptoms and diagnosis of carbon monoxide poisoning

On arrival at the Accident and Emergency department, Mr Jones was more awake, but was drowsy, with slurred speech. An arterial blood sample was taken for analysis of blood gas pressures. The sample revealed that the partial pressure of carbon dioxide in Mr Jones’ arterial blood was high, suggesting that he was hypoventilating. The partial pressure of oxygen in his blood was slightly higher than normal because he was breathing oxygen. However, his carboxyhaemoglobin level was measured at 52%, confirming the diagnosis of carbon monoxide poisoning.

Measurement of carboxyhaemoglobin levels is the key to diagnosing CO poisoning. The carboxyhaemoglobin is usually expressed as a percentage of total haemoglobin. In city dwellers up to 5% carboxyhaemoglobin is normal, and levels of up to 10% are very often found in smokers. In cases of CO poisoning levels of over 20% may be associated with symptoms, and levels in excess of 60% often result in coma. However, although measuring carboxyhaemoglobin levels is useful in diagnosing CO poisoning, it is often difficult to relate these measurements to the patient’s clinical condition. This is because once the patient is removed from the source of CO blood levels fall very quickly, and the clinical picture is thought to be more closely related to peak carboxyhaemoglobin levels.

The signs and symptoms of CO poisoning are all related to the tissue hypoxia that it causes. Many organs, but particularly the brain, the heart and the lungs, can be affected.

In mild cases of CO poisoning patients develop a frontal headache that may be associated with drowsiness or agitation and confusion, particularly in the elderly. Often these symptoms are associated with nausea or vomiting. In more severe cases of poisoning, patients may lose consciousness or start to fit.

CO may also affect the heart and cause ECG abnormalities, and is recognized as a cause of cardiac failure and myocardial infarction. Its effects on the lungs include hyperventilation and pulmonary oedema.

It may affect the nervous system, producing hemiplegia or peripheral nerve damage, and recovery from poisoning may be complicated by long-term psychiatric problems such as personality changes and memory loss, which are thought to be a consequence of hypoxic brain damage.

Classically, patients with CO poisoning are said to have pink skin and mucosae owing to the presence of carboxyhaemoglobin, which has a bright red colour. This is not a reliable sign, and in severe cases of CO poisoning associated with a failing circulation it may not be apparent.

• Haemoglobin content (Hb, g L−1). It is Hb that has the ‘hooks’ that carry the O2. The number of ‘hooks’ determines the maximum O2-carrying capacity per mL of blood. If blood has only 50% (say) of the normal amount of Hb (it is anaemic), it will only have 50% of the normal number of ‘hooks’, and even when fully saturated with O2 it will only be able to carry 100 mL rather than 200 mL of O2.

• Haemoglobin saturation (%). This is the percentage of the total number of ‘hooks’ that are in fact occupied. It is nothing to do with the number of ‘hooks’ present. The number present may be increased (polycythaemia), normal or reduced (anaemia). Measurement of Hb saturation is technically simple using the spectrophotometer as described (Obtaining a dissociation curve, p. 102) and gives useful information for clinical assessment as 100% saturation of arterial blood implies the lungs are doing a good job of gas exchange. However, other measurements, particularly Po2 and Hb content, are necessary to provide a complete picture.

    Students sometimes find it helpful to think of saturation as the ‘appetite’ haemoglobin has for O2. If haemoglobin finds itself in a Po2 where its saturation should be high (say 10 kPa in Fig. 8.2) it is ‘hungry’ and will readily accept O2 until it is appropriately saturated, ‘full’. At low Po2 (say 2 kPa in Fig. 8.2) it is not so hungry; in fact, it is overstuffed for these conditions and vomits off its excess oxygen.

• Oxygen content (mL L−1). We have seen (‘Haemoglobin content’, above) that the amount of oxygen in a litre of arterial blood is limited by the amount of Hb it contains. It also depends on the Po2 of the air in the lungs driving O2 into the blood. This underlies the difference between ‘saturation’ and ‘content’, which is very important to understand. An analogy that might help is to consider the RBC as a cloakroom used to store coats. The number of coats (O2 molecules) that can be stored depends on the number of hooks (Hb molecules) present. The number that are actually stored (O2 content), up to the theoretical maximum when all hooks are occupied (100% saturation), depends on the size of the cloakroom (amount of Hb) and the pressure from customers wishing to leave their coats (Po2).

Case 8.1   Carriage of gases by the blood and acid/base balance: 4

Treatment of carbon monoxide poisoning

After the diagnosis of carbon monoxide poisoning had been made Mr Jones was treated with high concentrations of oxygen (60% inspired oxygen) and was closely monitored on the high-dependency ward. Gradually, he regained consciousness as the carbon monoxide was displaced from his blood by oxygen and the effects of the alcohol he had consumed began to wear off. The carboxyhaemoglobin levels in his blood were measured later that day and were found to be 12%.

Oxygen is the treatment of CO poisoning. By administering high concentrations of oxygen, carbon monoxide is dissociated from carboxyhaemoglobin, producing haemoglobin, which is then free to combine with oxygen. In some centres CO poisoning is treated with hyperbaric oxygen: in other words, the patient is placed in a pressurized chamber and breathes 100% oxygen. Under these circumstances, the partial pressure of oxygen is very high because the ambient pressure is high. The high partial pressure of oxygen leads to an even more rapid removal of CO. It is also possible that an improvement in oxygenation occurs because the administration of a high partial pressure of oxygen results in an increase in the amount of dissolved oxygen in the blood, possibly to a clinically significant level. The use of hyperbaric oxygen remains controversial, however, and it is only useful if it is quickly available, which is not the case in most centres.

So, if everything else is normal:

The shape of the curve (Fig. 8.2)

The oxyhaemoglobin dissociation curve (Fig. 8.2) can express the relationship between Po2 and saturation, which is independent of blood Hb content, or Po2 and O2 content which is not. In terms of content the curve is displaced downwards in anaemia (where Hb content is low).

Whether expressing the relationship between Po2 and saturation or content, the curves in Figure 8.2 have the same characteristic shape, which has an important influence on function. The major function of Hb is to load with O2 at the lungs and unload at the tissues. This function is carried out at the flat loading region at the top of the curve and at the steep unloading region. The difference in slope of the curve at these two points has the following consequences:

• Loading region (used at the lungs). Above about 10 kPa Hb cannot take up much more O2: it is saturated, because most of the molecules of Hb are carrying their full complement of four O2 molecules and this number cannot be exceeded however high the Po2. Alveolar ventilation can decrease by up to 25% or increase indefinitely without affecting O2 content significantly. O2 tension varies, however. The evolutionary advantage of this is that normal activities such as talking, sighing, coughing, etc. do not greatly alter the amount of O2 per litre of blood leaving the lungs for the tissues.

• Unloading region (used at the tissues). Blood in the capillaries of active tissues finds itself in an environment of low Po2. Oxygen diffuses from blood to tissues, and even a small fall in blood Po2 causes a large unloading of O2, i.e. the blood is working on the steep part of the HbO2 dissociation curve. If it stays in the tissue long enough blood Po2 will equilibrate with tissue Po2. If the blood is anaemic (low Hb content), however, removal of even a small amount of O2 causes a large fall in Po2 because there is little O2 in the blood to begin with. A situation is quickly reached where there is little possibility of further supply to the tissues and a reduced Po2 to drive it in. Thus anaemia can cause tissue hypoxia even though arterial blood has normal Po2 and Hb saturation.

To identify the position of the steep part of the oxyhaemoglobin dissociation curve (usually to see if it is being oxygenated properly) the Po2 at which 50% of the Hb is saturated is measured: this is called the P50 and is about 3.2 kPa for normal adult human arterial blood.

Displacement of the oxyhaemoglobin dissociation curve (Fig. 8.3)

The evolution of Hb with a dissociation curve of the shape described has been a wonderful advantage to the species that possess it. Even more wonderful is the displacement of this curve along the Po2 axis of the graph that takes place with each circuit of the blood between lungs and tissue and between tissue and lungs. This displacement of the dissociation curve represents cyclic changes in the properties of Hb which make it an even more efficient carrier of O2.

We have seen (Fig. 8.2) that abnormal amounts of Hb in the blood will displace the O2 content curve vertically but will not affect the saturation curve. We will now look at factors that displace the curve horizontally and the way in which this improves the supply of O2 to the tissues.

• Hydrogen ion concentration. Increased [H+] (decreased pH, increased acidity) displaces the curve to the right (Fig. 8.3). This Bohr shift is due to H+ acting on the Hb molecule to decrease its affinity for O2. This does not affect the loading region of the curve because it is horizontal, and so movement to left or right does not produce a change in saturation.

The steep unloading region of the curve is a different matter. In metabolizing tissues the release of acids or of CO2 (which increases [H+]) shifts the curve to the right. This has two major consequences, the first fairly obvious, the second less so:

1. Take a vertical line at some Po2 on the steep part of the curve, say 4 kPa in Figure 8.3. If the curve moves to the right the saturation appropriate for that Po2 will fall. The Hb has less ‘appetite’ for O2 and it ‘vomits off’ the excess (see Haemoglobin saturation, p. 104, above). This is clearly an advantage, liberating O2 to diffuse down the concentration gradient to the tissues.

2. What is not so immediately obvious but equally important is revealed if you take a horizontal line, at, say 50% saturation. When the curve moves to the right the Po2 appropriate for that saturation increases! This increases the partial pressure gradient driving O2 into the tissues.

These effects of acidity are so powerful that a decrease of 0.2 pH units can increase O2 release by 25% at low Po2.

• Carbon dioxide. In addition to its acid properties, which are dealt with above, CO2 reacts with Hb to form carbamino Hb. This also moves the curve to the right. If hypercapnia (increased Pco2) persists for several hours, with chronic acidosis, red cell 2,3,diphosphoglycerate (DPG, see below) is decreased, shifting the curve back to the left.

• Temperature. A decrease in temperature shifts the curve to the left. Blood therefore gives up its O2 less readily in cold tissues, and blood leaving them may be well oxygenated because of this effect. Also, cold will reduce the metabolic demand for O2. For this reason, children playing in the snow have pink ears and noses when their vasoconstricted skin might have been expected to turn blue. This effect is not very important in the lungs because the air in them is so well warmed. It is important, however, in patients made hypothermic during open heart surgery. In these patients, even if arterial Po2 is low the Hb is relatively well saturated and the patient does not look hypoxic.

• 2,3-Diphosphoglycerate (DPG). In most cells under anaerobic conditions 1,3-diphosphoglycerate (1,3-DPG) is converted to 3-phosphoglycerate, with the release of energy which is stored in the form of adenosine triphosphate (ATP).

In red cells, however, 1,3-DPG is converted to 2,3-DPG without the release of energy (Fig. 8.4), an apparently pointless metabolic reaction.

It was discovered that this DPG reacts with HbO2, causing a release of O2 by shifting the dissociation curve to the right, and this suggested that DPG was important:

Unfortunately, despite the excitement caused by the discovery of the action of DPG, it has yet to be demonstrated as having any significant effect under normal and pathological conditions. Even under the conditions cited above other physiological effects are much more important, and DPG remains an evolutionary oddity.

Myoglobin

Myoglobin is found in muscle and, in part, gives muscle its red colour. Unlike haemoglobin, with its four chains carrying oxygen, myoglobin consists of one molecule of haem and one polypeptide chain. Its dissociation curve is to the left of Hb (Fig. 8.5), so it readily takes up O2 from Hb in capillary blood. Myoglobin may act as a small store of O2 available during anaerobic conditions. This would be useful during the contraction of muscle, particularly heart muscle, because contraction cuts off blood flow. This effect is very limited in the case of sustained contraction of skeletal muscle because the oxygen stored in myoglobin is depleted in a few seconds.

Fetal haemoglobin

The human fetus, dependent on its mother for O2, is always threatened with hypoxia. To alleviate this threat, fetal haemoglobin has a high affinity for O2 and this facilitates transfer from mother to fetus. Fetal Hb has two γ-polypeptide chains in place of the β chains of adult Hb, and inside red cells fetal Hb has a greater affinity for O2 than does adult Hb (Fig. 8.5). Fetal blood in the uterine/placental circulation takes up O2 mainly because its Po2 is lower than that of the maternal uterine arterial blood. In addition, inspection of Figure 8.5 will show that, because its dissociation curve is to the left of the maternal one, at most Po2 fetal blood is more saturated – ‘hungry’ for O2. The transfer of O2 from mother to fetus is aided by a further mechanism produced by the unloading of CO2 in the other direction, from fetus to mother. We have seen above (Displacement of the oxyhaemoglobin curve, p. 105) that the acidic effects of CO2 cause the release of O2 from oxyhaemoglobin. The effect of the transfer of CO2 from fetus to mother first moves the fetal dissociation curve to the left (CO2 is leaving this blood), and then the same CO2 moves the mother’s dissociation curve to the right (CO2 is being added to this blood). The overall effect of this double Bohr shift is to widen the gap between the two dissociation curves, shifting the balance of transfer to the fetus. The mechanisms that make fetal haemoglobin so efficient at obtaining O2 from the mother also make it less efficient at releasing it at the fetal tissues. This results in a degree of hypoxia, which the fetal tissues are better able to withstand than those of the adult. Furthermore, because fetal Hb is more acid than adult Hb it is less able to carry CO2, and so the fetus tends toward acidosis.

There is a mixture of fetal and adult haemoglobin in fetal blood. The fetal form is gradually replaced in the first few months after birth, except in the hereditary disorder thalassaemia, which as the name suggests (Greek, thalassa, sea) is particularly prevalent in Mediterranean peoples. In this disease the persistence of fetal haemoglobin means the blood releases its O2 less readily. Thalassaemia is treated by blood transfusion at 4–6-week intervals throughout life.

Abnormal haemoglobins

• Carboxyhaemoglobin (HbCO). Carbon monoxide (CO) binds to Hb 250 times more strongly than does O2 and competes with it for sites on Hb to form HbCO. This means that as there is 21% O2 in air it only takes 0.1% CO to ‘compete’ on equal terms for the O2-carrying sites on Hb and results in arterial blood having 50% HbO2 and 50% HbCO, which is useless to the tissues. This is equivalent to being 50% anaemic. For this low concentration of CO to come into equilibrium with the blood takes over an hour, but once there the CO takes equally long to be cleared from the blood. Ventilation with 100% O2 will speed the elimination of CO because the high Po2 displaces the CO more efficiently than atmospheric Po2.

    Carbon monoxide displaces the HbO2 dissociation curve to the left, so the poisoned blood less readily gives up the little O2 it has.

    When domestic gas was made from coal it contained a large amount of CO as does the untreated exhaust of petrol engines. These fumes were at one time popular methods of suicide. Since the advent of natural gas, which does not contain CO, and catalytic converters for cars which change CO to CO2, these methods have ceased to be available. The cherry-red colour of HbCO gives patients poisoned by CO a deceptively pink and healthy appearance.

• Methaemoglobin (Met-Hb). Methaemoglobin is formed by the oxidation of the ferrous atom of Hb into the ferric form. This can occur because of a congenital defect or as a result of oxidizing poisons, such as nitrites. The Met-Hb cannot combine with O2. The methaemoglobin reductase found in red blood cells slowly converts Met-Hb back into Hb.

• Genetically abnormal haemoglobins. More than 100 different types of human Hb have been discovered, with variants of the peptide patterns in the four polypeptide chains. Some of these Hbs have abnormal dissociation curves because the Hb itself is changed, or because the changes lead to changes in the red cell, such as abnormal DPG content. Abnormalities of Hb may change the shape of the red cell and make it more fragile, as in sickle cell disease.

Sickle cell disease

Most variations in the structure of haemoglobin consist of the substitution of a single amino acid in the globin chain, the haem group being normal. These differences are usually identified electrophoretically and only a few result in clinical manifestations. In the genetically determined sickle cell disease deoxygenation of the abnormal haemoglobin (HbS) causes it to polymerize and distort the red blood corpuscle into the shape of a sickle.

Heterozygotes for this disease are said to carry the trait for sickle cell: about 40–50% of their total Hb is HbS and they are asymptomatic except under hypoxic conditions. Homozygotes always manifest the disease, which may be fatal in childhood. The disease is found in regions where falciparum malaria is endemic, and people who carry the sickle cell gene are protected against malaria.

Clinical symptoms develop at about 6 months old. They include bone pain and painful vaso-occlusive crises caused by sickled erythrocytes blocking small blood vessels. Leg ulceration is common, and splenic infarction results in splenic atrophy.

Fetal haemoglobin reduces the risk of sickling, which explains why symptoms do not develop before the age of 6 months, by which time HbF has been almost completely replaced by adult Hb.

No specific therapy has been found to prevent sickling. The steady state of anaemia in this condition frequently requires no treatment. Acute attacks require intravenous fluids, oxygen, and antibiotics if necessary. Transfusions are only given if there is severe anaemia. Genetic counselling should be given to prospective parents who carry the trait.

Dissolved oxygen: do we really need Hb and why keep it in red cells?

Having Hb isolated from the plasma by packaging it in red cells has the following advantages:

1. The presence of DPG displaces the dissociation curve to the right and so aids the unloading of O2 at active tissues.

2. If the 150 g L−1 Hb were free in plasma it would raise the viscosity to intolerable values, and colloid osmotic pressure would also increase considerably. The viscosity effect would be particularly important in capillaries, where containing the Hb in red cells gives blood an anomalously low viscosity (the Fahraeus–Lindqvist effect).

3. Hb molecules are just small enough to escape from the blood through the glomeruli of the kidneys and thus be lost in the urine.

4. There are enzyme systems in the red cells which help prevent Hb breakdown. For example, methaemoglobin reductase converts ferric methaemoglobin back to ferrous haemoglobin.

5. Carbonic andhydrase is restricted to the red cells and is crucial in the role of red cells in CO2 transport.

Although red blood cells are clearly of great importance in the transport of O2 the only way O2 can get to the red cells in the lungs, or leave them in the tissues, is by going into solution in plasma and tissue fluid. These fluids are essentially water, and O2 is not very soluble in water. Henry’s Law tells us that the amount dissolved is proportional to the pressure of O2 (its partial pressure in a mixture such as air). Normal arterial blood contains only 3 mL of O2 per litre in solution, compared to 200 mL attached to haemoglobin (about 180 mL in women, because they have less Hb). So, about 60 times as much O2 is carried by Hb as in solution.

However, by Henry’s Law the amount dissolved can be increased by increasing the pressure (unlike the amount attached to Hb, which reaches a maximum at atmospheric pressure). If a subject breathes pure oxygen the alveolar and arterial Po2 increases over sixfold, and the amount of O2 in solution rises to 20 mL per litre of blood. Table 8.1 illustrates the important point that we do not extract all the oxygen present in arterial blood. Mixed venous blood is still 75% saturated with O2, and there is an arteriovenous content difference of 50 mL O2 per litre of blood. If a subject breathes pure O2 at 3 atmospheres pressure he can theoretically obtain sufficient O2 from that dissolved in plasma, and Hb is not necessary as an O2 transporter.

Readers interested in even wilder speculation on the importance of Hb might consider an alternative system of supplying our tissues with O2 simply by increasing the flow of Hb free plasma carrying O2 in solution – and speculate what we would look like having cardiovascular systems 60 times larger than they are.

Carbon dioxide transport

Carbon dioxide is a major product of our metabolism. It is a most potent acid substance and has to be removed from our bodies.

Almost all the CO2 in the blood comes from tissue metabolism. Just like O2 moving in the opposite direction, CO2 diffuses down its concentration gradient from the cell interior to extracellular fluid, to plasma and into the red cell. Here its chemical conversion into bicarbonate (image) is accelerated, and the bicarbonate so formed is stored largely in the plasma. At the lungs the whole process is reversed, releasing CO2 to the alveolar air. Carbon dioxide in the blood is found in simple solution, in the form of image and combined with the amino groups of proteins. Very small amounts of carbonic acid (H2CO3) and carbonate ion (image) are also present.

Carbon dioxide in plasma

Plasma water reacts with CO2 to form image and H+:

image (Equation 8.5)

Like any chain reaction the overall speed of this reaction is determined by its slowest step.

In plasma the first stage of this reaction is slow, taking 100 s to reach 90% equilibrium at body temperature (this impediment is relieved within the RBC, as we will see below). One of the products of reaction 8.5 is H+ (a proton), and to prevent unacceptable increases in acidity [H+] this has to be buffered. A chemical buffer is a substance that accepts or releases H+ and so minimizes changes in [H+].

The H+ formed in Equation 8.5 is buffered by plasma proteins which take up or release H+.

The amino groups of plasma proteins themselves carry CO2 in the form of carbamino compounds:

image (Equation 8.6)

and this H+ has to be buffered.

Carbon dioxide in whole blood

The first part of the reaction described by Equation 8.5 (image) is normally slow, and the second part of the equation (image) rather limited in plasma. Adding even small quantities of CO2 to whole blood will therefore increase plasma Pco2 appreciably, and as this occurs at the tissues CO2 will diffuse into the red blood cells (Fig. 8.6).

Reaction 8.5 also occurs inside the red cells, but with important differences. The presence of the enzyme carbonic anhydrase, not found in plasma, accelerates the normally slow formation of H2CO3 from CO2 and H2O. Thus in the red cell reaction 8.5 goes quickly to the right, increasing [H+] and [image]. These ions are quickly removed, allowing the reaction to continue moving to the right. [H+] is mopped up by Hb and image diffuses out of the cell into the plasma down its concentration gradient. The image ions carry a negative charge out of the cell and, to maintain electrical neutrality in the cell, chloride ions (Cl) move in. This exchange of ions is called the chloride shift (Fig. 8.6). If this did not occur image would be held in the red cell by its negative charge, reaction 8.5 would be blocked by the build-up of image and less CO2 could be converted to image. The proteins involved in reaction 8.6 include, most importantly, haemoglobin, which has a three times greater affinity for CO2 and is present at four times a greater concentration than plasma proteins in blood. Carbaminohaemoglobin is formed by the combination of CO2 and Hb at the tissues (Equation 8.7). This is a special case of the reaction represented by Equation 8.6:

image (Equation 8.7)

It releases CO2 very readily at the lungs, and the first 30% of the total CO2 released at the lungs is from this source (Fig. 8.7).

The H+ formed in the red cells is buffered by Hb, and because deoxygenated Hb is a weaker acid than HbO2 it has more sites available to accept H+ (protons). It therefore absorbs more H+ and reaction 8.7 shifts to the right. In other words, the release of O2 from HbO2 into active tissues allows the Hb to take up and carry more CO2 for the same Pco2. This effect of deoxygenation increasing the ability of blood to carry CO2 is called the Haldane effect, and should be considered along with the Bohr effect (p. 105), when the beauty of the interaction of these two effects in augmenting the transport of the two most important respiratory gases will be appreciated.

Gas exchange at the lungs

At the lungs the processes taking place at the tissues are reversed (Fig. 8.6). As CO2 is blown off, reactions 8.5, 8.6 and 8.7 move to the left and the chloride shift is reversed. The oxygenation of Hb aids the release of CO2 from the red cells into the plasma and alveoli. It should be remembered that, as with O2 moving in the opposite direction, although the amount in simple solution in plasma water is small, before CO2 can move from red cell to air it must enter into solution in plasma.

The quantities of transported carbon dioxide

The quantities of the forms of CO2 carried in venous blood are shown in Figure 8.7 and Table 8.1. Although the total amount of CO2 carried in the red cells is much less than that carried in the plasma, the chemical reactions of CO2 in the red cells and the buffering of H+ produced are much greater than in the plasma. The red cells act like factories, processing CO2 and producing image to be stored in the plasma. Thus the exchange of CO2 at lungs and tissues depends more on the processing power of the red blood cells than the plasma content. This is clearly demonstrated by inhibiting carbonic anhydrase in the red cells with a suitable drug. Carbon dioxide entering the blood is then only slowly converted to image and the amounts of CO2 in solution and as plasma carbamino compounds build up, causing acidosis.

The dissociation curve for carbon dioxide

The relationship between Pco2 and the concentration of CO2 in whole blood is shown in Figure 8.8. This plot is similar to that for oxygen (Fig. 8.2), except that for CO2 we cannot plot saturation against partial pressure because in the case of CO2 there is no carrier molecule (Hb in the case of O2) to be saturated.

The relationship between Pco2 and total CO2 in blood is approximately linear over the physiological range of Pco2s: from mixed venous (6.1 kPa) to arterial blood (5.3 kPa). Oxyhaemoglobin has a weaker affinity for CO2 than has deoxygenated haemoglobin. This means that oxygenation of blood causes the curve to be displaced to the right (the Haldane shift). Also HbO2 is a stronger acid than deoxygenated Hb and releases H+, which drives reactions 8.5, 8.6 and 8.7 to the left with the formation of free CO2. The Haldane shift results in the ‘functional’ CO2 dissociation curve (the normal range of blood Pco2 over which we function) being steeper than would be expected, because it joins points a and image on Figure 8.8. We have seen for oxygen that a steep curve improves unloading, and as a result of this shift at any Pco2 blood loads and unloads extra CO2 when it is unloading or loading with O2. Because the quantity of Hb in a sample of blood is fixed, the O2 capacity of that blood is also fixed. Because the CO2 dissociation curve cannot be saturated, the CO2 content of our blood is much more variable, even in health, than its O2 content.

Case 8.1   Carriage of gases by the blood and acid/base balance: 5

Interpretation of arterial blood gases

The analysis of blood gas tensions, usually in arterial blood, provides key information about a patient’s respiratory system. Generally a blood gas analyzer measures the partial pressures of oxygen and carbon dioxide in the blood as well as its pH. From these measurements the machine then calculates other values such as actual and standard bicarbonate concentrations and the base excess. An example of blood gas results from a patient without respiratory disease is given below, with normal ranges for the measured variables:

Normal range
pH 7.1 (7.35–7.45)
[H+] 40 nmol.l−1 (36–44)
Pco2 5.3 kPa (4.4–6.0)
Po2 12.4 kPa (12.0–14.0)
HCO3 act 24 mmol.l−1
HCO3 std 24 mmol.l−1
Base excess 0.1 mmol.l−1

In this example, pH has been given alongside hydrogen ion concentration [H+]. pH is related to [H+] by the equation:

image

In other words, a change in pH of one unit is equivalent to a 10-fold change in hydrogen ion concentration. This makes the pH scale very versatile in fields of chemistry where hydrogen ion concentrations may vary widely. In medicine, blood hydrogen ion concentrations vary comparatively little and for this reason a logarithmic scale is not necessary. However, pH and [H+] are both still used in medical practice and both are quoted in the following examples. Remember that a [H+] of 10 nmol.l−1 is equivalent to a pH of 8.0 and a [H+] of 100 nmol.l−1 is equivalent to a pH of 7.0.

Plasma bicarbonate is calculated from pH and Pco2 using the Henderson–Hasselbalch equation. Two values of bicarbonate are often quoted: the actual bicarbonate (HCO3 act in this example) and the standard bicarbonate (HCO3 std). The actual bicarbonate is calculated at the Pco2 measured in the blood sample and standard bicarbonate is calculated using a ‘normal’ value for Pco2 (often 5.3 kPa). In other words, the actual bicarbonate is an estimate of the bicarbonate concentration in the sample and the standard bicarbonate is what the concentration of bicarbonate would be, if the Pco2 were normal. The purpose of calculating these two values is to differentiate between respiratory and metabolic acidaemia and alkalaemia. If a patient has a purely respiratory acidosis, then his actual bicarbonate will be abnormal but his standard bicarbonate will be normal since all the abnormalities in the bicarbonate are due to the abnormal Pco2. On the other hand, a metabolic acidosis or alkalosis will tend to cause a change to the standard bicarbonate.

Another way to differentiate between respiratory and metabolic acidaemia and alkalaemia is to calculate the base excess. This is defined as the amount of hydrogen ions that need to be added to a litre of blood to bring the pH back to normal at a normal Pco2. The key part of this definition is ‘at a normal Pco2’: in other words the base excess is a measure only of metabolic abnormalities in acid–base status. If a patient has an acidosis, then the base excess will be negative, since hydrogen ions will have to be removed to return the pH to normal.

Armed with all this information, you should be able to answer the following questions about a patient by studying their blood gases:

Does the patient have a metabolic acidosis or alkalosis?

This question is answered by looking at either the standard bicarbonate or the base excess. A low standard bicarbonate indicates a metabolic acidosis whereas a raised standard bicarbonate indicates a metabolic alkalosis. Similarly, a large negative base excess indicates a metabolic acidosis and a large positive base excess indicates a metabolic alkalosis.

These principles are best illustrated by a few examples:

Analysis of results example 1

Normal range
pH 7.26 (7.35–7.45)
[H+] 55.6 nmol.l−1 (36–44)
Pco2 8.84 kPa (4.4–6.0)
Po2 7.66 kPa (12.0–14.0)
HCO3 act 28.7 mmol.l−1
HCO3 std 24.1 mmol.l−1
Base excess −0.3 mmol.l−1 (+2.0–2.0)

This patient suffered from severe chronic obstructive pulmonary disease. She had sustained a fractured leg and had been given rather a lot of morphine to control her pain. At the time this sample was taken, she was receiving oxygen with an inspired concentration of 35%.

These results show:

The combination of this patient’s respiratory disease and opioid administration had resulted in hypoxia and carbon dioxide retention. The carbon dioxide retention had led to a respiratory acidosis.

These are the results for the same patient 36 hours later. The patient is still breathing 35% oxygen. However, the patient is no longer receiving opioid drugs and analgesia is now being provided by an epidural local anaesthetic, which does not cause respiratory depression:

Normal range
pH 7.40 (7.35–7.45)
[H+] 40.0 nmol.l−1 (36–44)
Pco2 6.43 kPa (4.4–6.0)
Po2 9.5 kPa (12.0–14.0)
HCO3 act 29.1 .l−1
HCO3 std 27.6 mmol.l−1
Base excess +3.5 mmol.l−1 (+2.0–2.0)

The patient is clearly improving: her oxygenation is better since her opioids were stopped and her Pco2 is coming back towards normal. She has developed a metabolic alkalosis which in this case has compensated fully for her respiratory acidosis. Note that this has taken many hours – a metabolic alkalosis develops in response to increased acid excretion by the kidneys and this takes time. It is unusual for a metabolic alkalosis to compensate completely for a respiratory acidosis: in this lady’s case it is likely that her respiratory acidosis was improving anyway.

Acid–base balance

A little chemistry

Our metabolism is largely aerobic – i.e. it uses oxygen. The word oxygen means ‘acid producer’ in Greek, and acids are continually being produced in our bodies. Oxidation of proteins and nucleic acids produces sulphuric and phosphoric acids, CO2 is hydrated to carbonic acid and, in the absence of oxygen, lactic and other acids are released in anaerobic metabolism of fats and carbohydrates, for example in heavy exercise. These acids dissociate (ionize) to increase the [H+] (H+ concentration) of the blood. H+ is a proton and acids, by definition, are proton donors. When an acid releases a proton it forms a base which, as an anion, is a proton acceptor.

image (Equation 8.8)

In aqueous solution acids increase [H+] and the H+ combines with H2O to form H3O+, but it is conventional, and more convenient, to speak of hydrogen ions, H+.

Because the concentration of [H+] in a solution involves very small numbers, chemists sometimes express it in terms of pH, which makes the numbers manageable and understandable:

image

(Logs because that compresses the scale, thus log 10 = 1, log 1 000 000 = 6, etc., and negative because the raw numbers are less than 1, which would result in negative logs, which is awkward, so we use the mathematical trick of

image

In this system pH 7.0 represents neutrality, higher pH represents alkalinity, and lower pH represents acidity.)

The problem with pH is that when hydrogen ion concentration rises (i.e. the solution gets more acid) the pH gets less. This does not lead to an intuitive grasp of what is happening when changes take place.

Also, because there is not a linear relationship between pH and [H+], increases or decreases of equal amounts of pH are brought about by different changes in [H+]. Thus a solution containing 40 nmol/L [H+] has a pH of 7.4. To raise the pH 4 points (to 7.8) we must remove 24 nmol/L of [H+], but to lower the pH 4 points (to 7.0) we need to add 60 nmol/L of [H+].

Life is only possible within a range of blood pH from 7.0 to 7.8, which represents only a sixfold range of [H+], from 10.0 × 10−8 to 1.6 × 10−8. It is therefore becoming more usual to express acidity directly as hydrogen ion concentration [H+], although we frequently resort to pH when describing the bigger chemical picture of the chemists.

The most immediate and serious effect of a build-up of [H+] in the body is to interfere with enzyme activity, which is obviously ‘a bad thing’. Changes in [H+] in the body are resisted by chemicals known as buffers. Buffers are chemicals, or combinations of chemicals, which ‘mop up’ or release H+ when acids or bases are added to them, and so resist changes in [H+]. Buffers within the cells and buffers in the blood neutralize H+, but their ability is limited and only give respite against the constant stream of acid produced by metabolism. Over the long term the body must get rid of as much acid as it produces. Buffers are a kind of ‘overdraft’ that enables the body to keep going, but eventually the acid ‘debt’ has to be got rid of.

Metabolic acids can be categorized as volatile acids (which are removed in gaseous form, and of which the only one of interest to us is carbonic acid, removed as CO2 by the lungs) and fixed or non-volatile acids, which are removed by the kidneys, in particular as sulphate and phosphoric acid. As the normal pH of urine is about 6.0 (acidic) the body is producing an excess of acid over that removed by respiration, although the acid load removed by the lungs is about four times greater than that removed by the kidneys. The lungs do not, of course, ‘excrete’ acid: they excrete CO2, which as you can see from Equation 8.5 is in equilibrium with H+ in the plasma. The [H+] determines pH, and it doesn’t matter where the H+ comes from or in what form it is removed: every H+ is equivalent to every other. When acids such as lactic acid are added to the blood they add H+, which displaces Equation 8.5 to the left, forming CO2 and water. Water is harmless and diffuses away; removal of CO2 by the lungs allows reaction 8.5 to continue moving to the left, removing H+ and limiting the acidosis.

More than 50 mmol of non-volatile acids are produced each day by a normal healthy man. It is essential that this be disposed of, but in quantitative terms this is very small compared to the 12 mol of CO2 that is produced each day. If acids formed by metabolism did not ionize in solution and could be excreted in their non-ionized form by the kidneys they would not present a problem; however, the only metabolic acids that do not ionize strongly are monobasic phosphoric acid, β-hydroxybutyric acid and creatinine. All others are almost completely ionized, producing the problem of excess H+. We cannot produce urine with a pH below about 4.5: at this pH no more H+ can be added, although some additional H+ can be buffered by ammonia secreted by the kidney. Under these conditions the power of the kidney to eliminate further acid is exhausted.

When you consider the relative amounts of acid disposed of by the lungs and by the kidneys you will understand why some respiratory physiologists dismiss the kidneys as mere minor extensions of the lungs.

Case 8.1   Carriage of gases by the blood and acid/base balance: 6

Analysis of results example 2

These results were obtained from a gentleman who had recently returned to the ward following major emergency surgery for an obstructed bowel:

Normal range
pH 7.29 (7.35–7.45)
[H+] 51.8 nmol.l−1 (36–44)
Pco2 6.27 kPa (4.4–6.0)
Po2 21.08 kPa (12.0–14.0)
HCO3 act 21.9 mmol.l−1
HCO3 std 20.6 mmol.l−1
Base excess −4.7 mmol.l−1 (+2.0–2.0)

Patient breathing 40% oxygen.

These results show:

This patient has both a respiratory and metabolic acidosis. The respiratory depression causing his respiratory acidosis may be due to the administration of postoperative opioids or as a result of drowsiness due to the hangover effects of the general anaesthetic. Notice that this degree of respiratory impairment in a man with healthy lungs does not cause a problem with oxygenation if he is breathing supplemental oxygen.

A metabolic acidosis is not unusual following major, emergency surgery. It is likely that the patient was relatively dehydrated prior to his surgery and this may have led to poor organ perfusion and oxygenation. This in turn often leads to the production of lactic acid.

Buffer compartments of the body

As this is a textbook of respiration we only consider acid–base control in relation to the effects of respiration on the blood. This is only one of the three fluid compartments of the body involved in buffering (blood, interstitial fluid and intracellular fluid), and in terms of total CO2, H+ and image the least important. In terms of purely chemical buffering, the cells of our bodies, with their high protein content, are by far the most important chemical buffer, but as we will see shortly this system is finite, whereas the mechanisms that have evolved for the respiratory system have an almost infinite capacity. We will see that the cell system is like a non-rechargeable battery: once used it is finished, but the system involving respiration is rechargeable and is used over and over again. To explain how this system works we can consider it in isolation, but in clinical situations the interactions between the three buffer compartments (blood, interstitial fluid, intracellular fluid) are of great importance.

Blood buffering

A strong acid is one that dissociates vigorously and almost completely in solution. Strong in this chemical sense should not be confused with concentrated. Hydrochloric acid, for example, is a strong acid and dissociates vigorously into H+ and Cl, whether it is in concentrated or dilute solution.

On the other hand a weak acid such as acetic acid (HAc) does not dissociate strongly into H+ and Cl (N.B. an undissociated molecule of acid does not have acidic properties, it is the H+ that it produces that is acidic.)

We have already noted that buffers are solutions that resist changes in [H+] when acids or bases are added to them. Buffers consist of a weak acid (H+B) which only weakly dissociates into H+ and anion B and its salt, in this case a sodium salt NaB, which dissociates more strongly into its ions Na+ and B. In an aqueous solution of the two the following reaction takes place with the equilibrium well to the left:

image (Equation 8.9)

The addition of a strong acid such as H+Cl will shift the equilibrium further to the left because of the strong affinity of B for the added H+. Thus the potential increase in H+ is minimized. The added Cl associates with Na+ to form neutral Na+Cl.

pK of a buffer

The pK of a buffer system is the pH at which the buffer works best to resist changes in either direction.

From Equation 8.9 you can see that the source of the ions on the left side is the acid, and on the right side the salt. For this buffer to work most efficiently at reducing changes of pH in either direction there should be equal amounts of acid or salt. If there is already a lot of acid in the buffer system it can resist the effects of added base very well, but cannot deal with the addition of more acid. If there is a lot of salt then the buffer system can deal with acid but not base. So, in the ideal state for resisting changes of pH in either direction, the system is ‘in the middle’, with the buffer salt and the acid both half dissociated; the pH at which a buffer system is in this ideal state is called its pK. Normal plasma has a pH of 7.40, and a buffer system with a pK of this value will be at its most powerful in the blood. Figure 8.9 illustrates the performance of the buffer systems for phosphate and image. It would seem that the image system, with its pK far from plasma pH, would be a poor buffer in the body, but it has other attributes that make it perhaps the most important buffer we have, and we will consider these a little later. The main buffers in the blood are bicarbonate, proteins – in particular haemoglobin – and phosphate.

Bicarbonate as a buffer

At the beginning of this section on CO2 transport we saw that:

Carbonic acid is formed when CO2 dissolves in water:

image (Equation 8.10)

Carbonic acid is a weak acid which dissociates:

image (Equation 8.11)

This is a buffer system: the addition of H+ will shift the reaction to the left, and because of the formation of undissociated H2CO3 the H+ will be taken up with little change in pH. Removal of H+ will shift the reaction to the right, producing more H+ and again minimizing the change in pH.

The Law of Mass Action describes the equilibrium of reversible reactions, such as Equation 8.7, as follows:

image (Equation 8.12)

where KA is the dissociation constant for H2CO3.

Equation 8.12 can be converted to a special equation relating CO2, image and pH in the blood: The Henderson–Hasselbalch Equation, as follows:

pH is the negative logarithm of [H+] so, taking logs of both sides of Equation 8.12 and transposing, we get:

image (Equation 8.13)

image (Equation 8.14)

image (Equation 8.15)

pH and pKA are the negative logarithms of [H+] and KA, respectively.

Therefore

image (Equation 8.16)

The problem with using this equation to calculate blood pH, or if we know pH blood [image], is that there is so little [H2CO3] in blood that it is very difficult to measure. However, this very small quantity means that the addition of H+ to whole blood shifts the reaction rapidly and almost completely to the left. Like water added to a container in Figure 8.10, H+ added on the right is soon mostly shared with container CO2 on the left, with very little being retained in the small container H2CO3 in the middle.

At equilibrium, which is reached very rapidly because of carbonic anhydrase in the red cells, [CO2] = 809[H2CO3]. Thus Equation 8.16 can be written:

image (Equation 8.17)

(pKA has changed to pK′ because we have changed from considering [H2CO3] to considering [CO2]).

The amount of CO2 dissolved [CO2] is proportional Pco2 (Henry’s Law), and the Henderson–Hasselbalch equation is usually written:

image (Equation 8.18)

where α is the solubility of CO2 in plasma per kPa Pco2 at body temperature (0.23 mmol kPa−1 L−1). Expressing the equation this way has the advantage that Pco2 is easy to measure in blood with a ‘CO2 electrode’.

Although this system buffers H+ added to the blood by other acids it is not a buffer system for CO2 for the following reason. Remember the reaction:

image

The reaction reaches equilibrium to the right, bicarbonate concentration [image] being 20 times greater than [CO2]. You can see from the equation that every molecule of CO2 involved forms not only a image but also an H+, and so this is not buffering of CO2.

It may seem illogical that CO2 and therefore H2CO3 can cause acidosis because each H+ (acid) produced is accompanied by the production of an image (base), but the effect of adding one H+ to a concentration of 40 mol/L hydrogen ion is much greater than adding one image to 26 mmol/L bicarbonate ion.

Although the system is not a good buffer in the chemical sense it is an excellent transport of CO2, and so by carrying CO2 for excretion by the lungs it performs the same function as a buffer very well. It minimizes the acidaemia that results from the addition of CO2 to the blood.

The ability of the blood to transport CO2 makes up for its weakness as a purely chemical buffer. By transporting CO2 to the lungs and image to the kidneys it ‘enlists their aid’ in controlling the levels of these substances and hence pH.

The lungs excrete or retain CO2 and the kidneys eliminate or reabsorb image: both work to maintain the image ratio at 20:1. Although not a buffer system in the chemical sense of the word, the kidney– image– lung combination is a more powerful controller of blood pH than excellent chemical buffers such as Hb. The ability of Hb to deal with excess acid or base is limited by the amount of Hb present. When that is ‘used up’ that is the end of its buffering. The kidneys and lungs, on the other hand, can deal with an almost infinite excess of acid or base because they simply pass them to the outside.

An analogy that students find helpful is that of a man in a leaky rowing boat. The water leaking in is the constant metabolic production of acid which, if allowed to accumulate, will lead to disaster (drowning). He is far worse off with a large supply of best-quality sponges (Hb), with which he can mop up the water but is not allowed to wring over the side, than he would be with two pumps (kidneys and lungs), with which he can eject the encroaching water simply by putting a little energy into them.

We must therefore modify the dismissive remarks about the kidneys as ‘mere minor extensions of the lungs’ (A little chemistry, p. 113) and admit them as full partners in the regulation of the image ratio and therefore of pH. Indeed, the Henderson–Hasselbalch equation (Equation 8.16) has been qualitatively rewritten (Gilman and Brazeau, 1953) as follows:

image

Calculation and illustration of acid–base status

The Henderson–Hasselbalch equation is important because if any two of the variables (pH, [image] or Pco2) is known the third can be calculated. Furthermore, theoretically it allows calculation of what would happen if one of the three variables were changed. For example, if CO2 were added to the blood, pH and/or [image] must change in a clearly defined way. Knowing the values of the three variables allows an accurate assessment of the acid–base status of the blood to be made. For example, normal arterial blood has a pH of 7.40 and pK = 6.10, and because

image

image

So, knowing pK and measuring pH, the [image]/CO2 ratio can be calculated. In patients with acid–base abnormalities the Henderson–Hasselbalch equation can be applied to discover the source of the abnormality. Many automated systems for analysing arterial blood now carry out these calculations to provide this information.

The figures provided by these systems are of little use if their relevance is not understood, and one of the most useful systems of displaying the relationship between pH, CO2 and [image] is known as the Davenport diagram.

The problem with displaying the Henderson–Hasselbalch relationship graphically on a page is that you have to display three variables on a two-dimensional surface. The Davenport diagram gets round this by displaying Pco2 as a series of isobars (lines consisting of points of equal partial pressure) plotted against plasma [image] and pH, laid out along axes as in a conventional graph (Fig. 8.11).

Disturbances in the normal acid–base situation may be acidosis or alkalosis and result from:

Clinical measurements

In the clinical situation [H+] and Pco2 are measured in arterial blood samples in an instrument known reasonably enough as a blood gas analyser which consists of a series of ion-sensitive electrodes. The blood samples are usually taken from the brachial or radial artery into a syringe containing an anticoagulant (heparin). It is important to exclude air from the sample, as the partial pressures between blood and air will equilibrate. If the sample is to be kept for any length of time before analysis it should be stored in ice to arrest metabolism of white cells.

Modern blood gas analysers measure [H+] and Pco2 directly and calculate a multitude of other values of varying importance. These include:

When interpreting acid–base results these biochemical measurements are only a means of quantifying the severity of the disorder. The patient’s clinical history is the most important factor in deciding the nature of the disorder, or whether more than one disorder is present.