Cardiac Output Equations Step 1

Cardiac output (CO) reflects the amount of blood pumped by the heart per minute and is a fundamental measure of cardiovascular function. It is influenced by stroke volume (SV) and heart rate (HR) and can be calculated using various physiological formulas.

1. Stroke Volume (SV): The Amount of Blood Ejected Per Beat

SV=EDV−ESVSV = EDV – ESVSV=EDV−ESV

Where:

  • EDV (End-Diastolic Volume): The volume of blood in the ventricle before contraction.
  • ESV (End-Systolic Volume): The volume of blood remaining in the ventricle after contraction.

🔹 Clinical Relevance:

  • Increased SV: Seen in exercise, positive inotropic states (e.g., catecholamines, digoxin).
  • Decreased SV: Occurs in heart failure (HF), cardiogenic shock, or increased afterload (hypertension, aortic stenosis).

2. Ejection Fraction (EF): A Measure of Ventricular Contractility

EF=SVEDV×100=EDV−ESVEDV×100EF = \frac{SV}{EDV} \times 100 = \frac{EDV – ESV}{EDV} \times 100EF=EDVSV​×100=EDVEDV−ESV​×100

  • Normal EF: 55-70%
  • Reduced EF: Seen in systolic heart failure (HFrEF, EF < 40%).
  • Preserved EF: Seen in diastolic heart failure (HFpEF, EF ≥ 50%) due to impaired filling rather than contraction.

3. Cardiac Output (CO): Total Blood Flow per Minute

CO=SV×HRCO = SV \times HRCO=SV×HR

  • At Rest: ~5 L/min
  • During Exercise: Can increase up to 20-35 L/min in trained athletes.

🔹 Fick Principle (Alternative CO Calculation):CO=O₂ Consumption RateArterial O₂ Content−Venous O₂ ContentCO = \frac{\text{O₂ Consumption Rate}}{\text{Arterial O₂ Content} – \text{Venous O₂ Content}}CO=Arterial O₂ Content−Venous O₂ ContentO₂ Consumption Rate​

  • Used in critical care settings to measure CO via arterial and venous blood gas analysis.

🔹 Exercise Effects on CO:

  • Early Exercise: CO increases due to ↑ SV and ↑ HR.
  • Later Exercise: SV plateaus, and CO is maintained by ↑ HR alone.
  • Extremely High HR (e.g., Ventricular Tachycardia): Reduces diastolic filling time, lowering SV and CO.

4. Pulse Pressure (PP): Indicator of Arterial Stiffness and Stroke Volume

PP=SBP−DBPPP = SBP – DBPPP=SBP−DBP

  • Directly proportional to stroke volume.
  • Inversely proportional to arterial compliance.

🔺 Increased PP:

  • Aortic regurgitation
  • Aortic stiffening (e.g., isolated systolic hypertension in elderly)
  • Obstructive sleep apnea (due to ↑ sympathetic tone)
  • High-output states (e.g., anemia, hyperthyroidism, exercise – transient effect)

🔻 Decreased PP:

  • Aortic stenosis
  • Cardiogenic shock
  • Cardiac tamponade
  • Advanced heart failure

5. Mean Arterial Pressure (MAP): A Key Measure of Organ Perfusion

MAP=CO×TPRMAP = CO \times TPRMAP=CO×TPR MAP=DBP+13PPMAP = DBP + \frac{1}{3}PPMAP=DBP+31​PP

  • MAP at resting HR: Weighted toward diastolic pressure, as the heart spends more time in diastole.
  • MAP < 60 mmHg suggests inadequate perfusion to vital organs (e.g., brain, kidneys).

Clinical Implications:

  • Hypertension (↑ MAP): Increases afterload, leading to LV hypertrophy and potential HF.
  • Hypotension (↓ MAP): Can indicate shock, sepsis, or severe heart failure, requiring immediate intervention.
  • Managing CO and MAP:
    • Beta-blockers lower HR, reducing myocardial O₂ demand.
    • Vasodilators (ACE inhibitors, ARBs, nitrates) reduce afterload, improving CO in HF patients.
    • Fluids & Inotropes (e.g., dobutamine) increase CO in shock states.

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