Henderson-Hasselbach
Blood gases and pH are vital for homeostasis
Acid-Base Balance
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Definition of Acids and Bases
- Acid: A substance that donates protons (\(H^+\))
- Base: A substance that accepts protons (\(H^+\))
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pH Scale
- \(pH = -log[H^+] = -log[H_3O^+]\)
- Ranges from 0 to 14, with 7 being neutral
- pH < 7: Acidic
- pH > 7: Basic (alkaline)
- Normal Blood pH: 7.35-7.45
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Importance of Acid-Base Balance
- Optimal enzyme function
- Maintenance of cell membrane integrity
- Appropriate protein structure and function
- Electrolyte balance
- Acidemia: Blood pH < 7.35
- Alkalemia: Blood pH > 7.45
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Major Buffer Systems in the Body
- Bicarbonate Buffer System: Primary buffer system in extracellular fluid
- Hemoglobin Buffer System: Buffers pH changes within red blood cells
- Phosphate Buffer System: Important in intracellular fluid and urine
- Protein Buffer System: Buffers pH changes in intracellular and extracellular fluid
Biochemical Theory
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Sources of Acids and Bases
- Volatile Acid: Carbon dioxide (\(CO_2\)), produced during metabolism, is converted to carbonic acid (\(H_2CO_3\))
- \(CO_2\) + \(H_2O\) ↔︎ \(H_2CO_3\) ↔︎ \(H^+\) + \(HCO_3^-\)
- The lungs regulate \(CO_2\) levels through ventilation
- Nonvolatile Acids: Produced from the metabolism of proteins and other organic compounds
- Examples: Sulfuric acid, phosphoric acid, lactic acid, ketoacids
- The kidneys excrete nonvolatile acids
- Bases: Generated through metabolic processes, but less significant than acid production
- Volatile Acid: Carbon dioxide (\(CO_2\)), produced during metabolism, is converted to carbonic acid (\(H_2CO_3\))
Regulation of Acid-Base Balance
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Buffer Systems
- Act immediately to resist pH changes
- Do not eliminate acids or bases from the body
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Respiratory System
- Regulates \(CO_2\) levels through ventilation
- Responds rapidly (within minutes) to pH changes
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Renal System
- Excretes nonvolatile acids and regenerates bicarbonate (\(HCO_3^-\))
- Responds slowly (over hours to days) to pH changes
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Compensation Mechanisms
- Respiratory Compensation: The lungs adjust ventilation to change \(CO_2\) levels in response to metabolic acid-base disturbances
- Renal Compensation: The kidneys adjust \(HCO_3^-\) excretion and \(H^+\) secretion to compensate for respiratory acid-base disturbances
Respiratory Control
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Ventilation
- Increased Ventilation: Blows off \(CO_2\), decreases \(H_2CO_3\), and raises pH
- Decreased Ventilation: Retains \(CO_2\), increases \(H_2CO_3\), and lowers pH
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Chemoreceptors
- Central Chemoreceptors: Located in the medulla oblongata and respond to changes in pH and \(CO_2\) levels in the cerebrospinal fluid (CSF)
- Peripheral Chemoreceptors: Located in the carotid and aortic bodies and respond to changes in pH, \(CO_2\), and \(O_2\) levels in the blood
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Response to Acidosis
- Increased ventilation to blow off \(CO_2\) and raise pH
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Response to Alkalosis
- Decreased ventilation to retain \(CO_2\) and lower pH
Renal Control
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Bicarbonate Reabsorption
- Most bicarbonate (\(HCO_3^-\)) is reabsorbed in the proximal tubule
- Involves the enzyme carbonic anhydrase and the secretion of \(H^+\) into the tubular lumen
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Acid Excretion
- \(H^+\) is secreted into the tubular lumen
- \(H^+\) combines with buffers such as phosphate (\(HPO_4^{2-}\)) and ammonia (\(NH_3\)) to form titratable acid (\(H_2PO_4^-\)) and ammonium (\(NH_4^+\))
- Ammonia is produced from glutamine in the proximal tubule
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Response to Acidosis
- Increased \(H^+\) secretion
- Increased bicarbonate reabsorption
- Increased ammonia production
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Response to Alkalosis
- Decreased \(H^+\) secretion
- Decreased bicarbonate reabsorption
Acid-Base Imbalances
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Acidosis: A condition in which the blood pH is below the normal range (< 7.35)
- Respiratory Acidosis: Caused by increased \(CO_2\) levels (decreased ventilation)
- Metabolic Acidosis: Caused by decreased \(HCO_3^-\) levels or increased nonvolatile acid production
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Alkalosis: A condition in which the blood pH is above the normal range (> 7.45)
- Respiratory Alkalosis: Caused by decreased \(CO_2\) levels (increased ventilation)
- Metabolic Alkalosis: Caused by increased \(HCO_3^-\) levels or decreased nonvolatile acid levels
Henderson-Hasselbalch Equation
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Equation
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\(pH = pKa + \log \left( \frac {[A^-]} {[HA]} \right)\)
- \(pH\): Measure of acidity or basicity
- \(pKa\): The negative log of the acid dissociation constant (Ka), indicating the strength of an acid
- [\(A^-\)]: Concentration of the conjugate base
- [\(HA\)]: Concentration of the weak acid
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\(pH = pKa + \log \left( \frac {[A^-]} {[HA]} \right)\)
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Application to Bicarbonate Buffer System
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\(pH = 6.1 + \log \left( {\frac {[HCO_3^-]} {0.03 \times PaCO_2}} \right)\)
- 6.1 = \(pKa\) of carbonic acid (\(H_2CO_3\))
- [\(HCO_3^-\)] = Concentration of bicarbonate in mmol/L
- Pa\(CO_2\) = Partial pressure of carbon dioxide in mmHg
- 0.03 = Solubility coefficient of \(CO_2\) in blood (converts Pa\(CO_2\) to [\(H_2CO_3\)])
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\(pH = 6.1 + \log \left( {\frac {[HCO_3^-]} {0.03 \times PaCO_2}} \right)\)
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Clinical Significance
- The Henderson-Hasselbalch equation describes the relationship between pH, bicarbonate, and Pa\(CO_2\) in the blood
- It is used to assess acid-base balance and to determine the cause of acid-base disturbances
- Changes in bicarbonate and Pa\(CO_2\) affect the pH, and the body uses compensation mechanisms to maintain the pH within the normal range
Key Terms
- Acid: A substance that donates protons (\(H^+\))
- Base: A substance that accepts protons (\(H^+\))
- pH: A measure of the acidity or basicity of a solution
- Buffer: A solution that resists changes in pH
- Acidosis: A condition in which the blood pH is below the normal range
- Alkalosis: A condition in which the blood pH is above the normal range
- Bicarbonate (\(HCO_3^-\)): A major buffer in the blood
- Partial Pressure of Carbon Dioxide (Pa\(CO_2\)): A measure of the carbon dioxide level in the blood
- Ventilation: The process of moving air into and out of the lungs
- Respiratory Compensation: The adjustment of ventilation to correct metabolic acid-base disturbances
- Renal Compensation: The adjustment of renal excretion of acid or base to correct respiratory acid-base disturbances
- Anion Gap: The difference between measured cations and anions in serum, used to assess metabolic acidosis
- Henderson-Hasselbalch Equation: An equation that describes the relationship between pH, bicarbonate, and Pa\(CO_2\)
- Hyperventilation: Increased rate and depth of breathing
- Hypoventilation: Decreased rate and depth of breathing
- Bohr Effect: The effect of pH and \(CO_2\) on the oxygen-binding affinity of hemoglobin
- Carbonic Anhydrase: The enzyme that catalyzes the interconversion of carbon dioxide and bicarbonate
- Normoventilation: The state of normal breathing, with an appropriate balance of oxygen and carbon dioxide
- Hypoxemia: Deficiency in the saturation of oxygen in arterial blood