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Physiology

Acid-Base Physiology: Henderson-Hasselbalch Equation, Buffers, Respiratory and Renal Compensation, Mixed Disorders, Winter Formula, Expected Compensation Rules

Core Principle of Acid-Base Physiology
The body maintains pH within the narrow range of 7.35–7.45 through three integrated systems: chemical buffering (immediate), respiratory compensation (minutes to hours), and renal compensation (hours to days).
The Henderson-Hasselbalch equation describes the mathematical relationship between pH, bicarbonate (HCO₃⁻), and carbon dioxide (CO₂) that governs acid-base balance.
Primary disorders are classified as metabolic (HCO₃⁻ problem) or respiratory (CO₂ problem), each triggering predictable compensatory responses.
Board pearl: The body never overcompensates — compensation brings pH toward normal but never past normal into the opposite disorder.
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The Henderson-Hasselbalch Equation
pH = 6.1 + log([HCO₃⁻]/0.03 × PCO₂)
This equation reveals that pH depends on the ratio of HCO₃⁻ (metabolic component) to PCO₂ (respiratory component), not their absolute values.
At normal values (HCO₃⁻ = 24 mEq/L, PCO₂ = 40 mmHg), the ratio is 20:1, yielding pH 7.4.
A simplified clinical version: pH ∝ HCO₃⁻/PCO₂ — if the ratio increases, pH rises (alkalemia); if it decreases, pH falls (acidemia).
Board pearl: Questions rarely require calculation — focus on understanding how changes in HCO₃⁻ or PCO₂ shift pH.
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Chemical Buffer Systems
Bicarbonate buffer (HCO₃⁻/H₂CO₃): the most important extracellular buffer, accounting for 75% of buffering in plasma. Open system allowing CO₂ elimination via lungs.
Phosphate buffer (HPO₄²⁻/H₂PO₄⁻): primary intracellular and urinary buffer. Critical for renal H⁺ excretion.
Protein buffers: hemoglobin in RBCs (most important intracellular buffer), albumin in plasma. Histidine residues accept/donate H⁺.
Bone carbonate: chronic buffer reservoir, releases carbonate in chronic acidosis at the cost of bone demineralization.
Board pearl: The bicarbonate system is most effective because both components can be regulated — HCO₃⁻ by kidneys, CO₂ by lungs.
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Respiratory Compensation Mechanisms
Chemoreceptors detect pH changes: central chemoreceptors in medulla (respond to CSF pH/PCO₂), peripheral chemoreceptors in carotid/aortic bodies (respond to PO₂, PCO₂, pH).
Metabolic acidosis → hyperventilation → ↓PCO₂ → pH rises toward normal. Kussmaul respirations represent maximal compensation.
Metabolic alkalosis → hypoventilation → ↑PCO₂ → pH falls toward normal. Limited by hypoxic drive (PCO₂ rarely exceeds 55).
Compensation begins within minutes, maximal within 12–24 hours.
Board pearl: Respiratory compensation for metabolic disorders changes PCO₂ in the same direction as HCO₃⁻ (both fall in acidosis, both rise in alkalosis).
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Renal Compensation Mechanisms
Proximal tubule: reabsorbs 80% of filtered HCO₃⁻ via H⁺ secretion. Can increase reabsorption in acidosis or decrease in alkalosis.
Distal tubule/collecting duct: generates new HCO₃⁻ by excreting H⁺ bound to urinary buffers (titratable acid) and by producing ammonia (NH₃ → NH₄⁺).
Respiratory acidosis → kidney increases HCO₃⁻ reabsorption and H⁺ excretion → ↑HCO₃⁻ → pH rises toward normal.
Respiratory alkalosis → kidney decreases HCO₃⁻ reabsorption → ↓HCO₃⁻ → pH falls toward normal.
Full compensation takes 3–5 days.
Board pearl: Renal compensation for respiratory disorders changes HCO₃⁻ in the same direction as PCO₂.
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Winter Formula for Metabolic Acidosis
Expected PCO₂ = 1.5 × [HCO₃⁻] + 8 ± 2
This formula predicts the appropriate respiratory compensation for a pure metabolic acidosis.
If measured PCO₂ equals expected → simple metabolic acidosis with appropriate compensation.
If measured PCO₂ > expected → concurrent respiratory acidosis (mixed disorder).
If measured PCO₂ < expected → concurrent respiratory alkalosis (mixed disorder).
Board pearl: Winter formula only applies to metabolic acidosis — different rules govern compensation for other primary disorders.
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Expected Compensation Rules
Metabolic acidosis: PCO₂ = 1.5 × [HCO₃⁻] + 8 ± 2 (Winter formula)
Metabolic alkalosis: PCO₂ increases by 0.7 mmHg for each 1 mEq/L rise in HCO₃⁻
Acute respiratory acidosis: HCO₃⁻ increases by 1 mEq/L for each 10 mmHg rise in PCO₂
Chronic respiratory acidosis: HCO₃⁻ increases by 3.5 mEq/L for each 10 mmHg rise in PCO₂
Acute respiratory alkalosis: HCO₃⁻ decreases by 2 mEq/L for each 10 mmHg fall in PCO₂
Chronic respiratory alkalosis: HCO₃⁻ decreases by 5 mEq/L for each 10 mmHg fall in PCO₂
Board pearl: Memorize Winter formula; other rules follow predictable patterns.
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Simple vs Mixed Disorders
Simple disorder: one primary disturbance with appropriate compensation. pH abnormal but moving toward normal.
Mixed disorder: two or more primary disturbances occurring simultaneously. Compensation is inappropriate or pH change is exaggerated.
Common mixed disorders: metabolic acidosis + respiratory alkalosis (salicylate toxicity), metabolic alkalosis + respiratory alkalosis (liver disease), metabolic acidosis + respiratory acidosis (cardiac arrest).
Board clue: If compensation seems inappropriate by the rules, suspect a mixed disorder.
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Approach to Acid-Base Problems
Step 1: Check pH — acidemia (<7.35) or alkalemia (>7.45)?
Step 2: Determine primary disorder — which change (HCO₃⁻ or PCO₂) explains the pH?
Step 3: Calculate expected compensation — does the compensatory change match predictions?
Step 4: If metabolic acidosis, calculate anion gap.
Step 5: If elevated anion gap, calculate delta-delta to check for additional disorders.
Board pearl: This systematic approach prevents missing mixed disorders, which are high-yield board fodder.
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Delta-Delta (Δ/Δ) Calculation
Used only in high anion gap metabolic acidosis to detect concurrent metabolic alkalosis or normal gap acidosis.
ΔAG = measured AG − normal AG (usually 12)
ΔHCO₃⁻ = normal HCO₃⁻ (24) − measured HCO₃⁻
If ΔAG/ΔHCO₃⁻ = 1–2: pure high AG metabolic acidosis
If ΔAG/ΔHCO₃⁻ > 2: concurrent metabolic alkalosis
If ΔAG/ΔHCO₃⁻ < 1: concurrent normal AG metabolic acidosis
Board pearl: Think of this as checking whether the rise in AG matches the fall in HCO₃⁻.
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Common Causes by Primary Disorder
Metabolic acidosis: high AG (MUDPILES: methanol, uremia, DKA, propylene glycol, iron/INH, lactic acidosis, ethylene glycol, salicylates) vs normal AG (diarrhea, RTAs, ureterosigmoidostomy)
Metabolic alkalosis: volume loss (vomiting, diuretics), mineralocorticoid excess, alkali ingestion
Respiratory acidosis: hypoventilation from CNS depression, neuromuscular disease, severe pulmonary disease
Respiratory alkalosis: hyperventilation from anxiety, pain, hypoxia, pregnancy, sepsis, liver disease, salicylates
Board pearl: Vomiting causes metabolic alkalosis (HCl loss), diarrhea causes metabolic acidosis (HCO₃⁻ loss).
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Triple Disorders
Rare but board-relevant: three simultaneous primary acid-base disturbances.
Classic example: alcoholic with vomiting (metabolic alkalosis) + withdrawal (respiratory alkalosis) + lactic acidosis (metabolic acidosis).
Recognition requires systematic analysis — pH may be normal despite severe derangements.
Another example: COPD patient (chronic respiratory acidosis) with diuretic use (metabolic alkalosis) who develops septic shock (lactic acidosis).
Board pearl: Normal pH with abnormal HCO₃⁻ and PCO₂ suggests either perfect compensation or multiple disorders.
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Respiratory Acidosis Patterns
Acute: pH drops 0.08 for every 10 mmHg rise in PCO₂. Minimal HCO₃⁻ compensation. Causes: sedation, acute neuromuscular weakness, severe asthma/COPD exacerbation.
Chronic: pH nearly normal due to renal compensation. HCO₃⁻ elevated. Causes: COPD, obesity hypoventilation, chronic neuromuscular disease.
Board distinction: Acute presents with acidemia and altered mental status; chronic presents with normal pH and signs of chronic hypoxemia (polycythemia, cor pulmonale).
Treatment addresses underlying cause — avoid excessive O₂ in chronic CO₂ retainers.
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Respiratory Alkalosis Patterns
Acute: pH rises 0.08 for every 10 mmHg fall in PCO₂. Symptoms include perioral paresthesias, tetany (due to ↓ ionized Ca²⁺).
Chronic: pH normalizes through renal HCO₃⁻ wasting. Often asymptomatic.
High altitude adaptation is classic chronic respiratory alkalosis — hyperventilation due to hypoxia with compensatory HCO₃⁻ loss.
Board pearl: Pregnancy causes chronic respiratory alkalosis (progesterone stimulates respiratory center) with PCO₂ ~30 and HCO₃⁻ ~20.
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Metabolic Alkalosis Maintenance
Generation requires initial HCO₃⁻ gain or H⁺ loss, but maintenance requires impaired renal HCO₃⁻ excretion.
Volume depletion: ↑ proximal Na⁺ reabsorption → obligate HCO₃⁻ reabsorption. Urine Cl⁻ < 20 mEq/L.
Mineralocorticoid excess: ↑ distal H⁺ secretion. Urine Cl⁻ > 20 mEq/L.
Hypokalemia: drives intracellular H⁺ shift and ↑ renal H⁺ excretion.
Board pearl: Saline-responsive (low urine Cl⁻) vs saline-resistant (high urine Cl⁻) distinguishes volume depletion from mineralocorticoid excess.
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Contraction Alkalosis
Loss of fluid relatively poor in HCO₃⁻ concentrates the remaining HCO₃⁻ in a smaller extracellular volume.
Classic setting: loop diuretic use → loss of NaCl-rich, HCO₃⁻-poor fluid → [HCO₃⁻] rises in remaining ECF.
Maintained by volume depletion triggering aldosterone → K⁺ and H⁺ loss → perpetuates alkalosis.
Board pearl: The alkalosis persists until volume is restored with saline, breaking the aldosterone-mediated maintenance.
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Salicylate Toxicity: A Mixed Disorder
Direct respiratory center stimulation → respiratory alkalosis (early and persistent).
Uncoupling of oxidative phosphorylation → increased oxygen consumption, heat production, and metabolic acidosis (later).
Classic presentation: mixed respiratory alkalosis and high AG metabolic acidosis with relatively normal pH.
Additional clues: tinnitus, altered mental status, hyperthermia.
Board pearl: pH may be alkalemic early, normal with mixed disorder, or acidemic late (poor prognostic sign).
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Compensation Limits and Extremes
Compensation improves pH but has physiologic limits:
Metabolic acidosis: PCO₂ rarely falls below 10 mmHg (respiratory muscle fatigue)
Metabolic alkalosis: PCO₂ rarely exceeds 55 mmHg (hypoxic drive takes over)
Respiratory disorders: HCO₃⁻ rarely <10 or >40 mEq/L
Board pearl: Values beyond these limits suggest either a mixed disorder or laboratory error.
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Board Question Stem Patterns
Patient with vomiting + pH 7.50, HCO₃⁻ 35, PCO₂ 48 → metabolic alkalosis with appropriate compensation
COPD patient + pH 7.38, HCO₃⁻ 32, PCO₂ 55 → chronic respiratory acidosis with full compensation
Diabetic + pH 7.30, HCO₃⁻ 10, PCO₂ 23, AG 25 → calculate Winter formula: expected PCO₂ = 23, matches measured = simple high AG metabolic acidosis
Cirrhotic + pH 7.48, HCO₃⁻ 18, PCO₂ 25 → respiratory alkalosis (chronic, given normal HCO₃⁻ compensation)
Overdose + pH 7.40, HCO₃⁻ 15, PCO₂ 25, AG 20 → mixed respiratory alkalosis and metabolic acidosis (classic salicylates)
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One-Line Recap
Acid-base physiology integrates the Henderson-Hasselbalch equation (pH = 6.1 + log[HCO₃⁻/0.03PCO₂]), buffer systems, and compensation rules (Winter formula for metabolic acidosis: PCO₂ = 1.5[HCO₃⁻] + 8) to maintain pH 7.35–7.45, with systematic analysis revealing simple disorders with appropriate compensation versus mixed disorders with compensation mismatches.
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