Commonly Utilized Equations in Echocardiography

General Body Measures

Body Mass Index

B M I = \frac{Weight}{H e i g h t^{2}}

$B M I = \frac{Weight}{H e i g h t^{2}}$

W weight (kg)
H height (cm)

Body Surface Area (Mosteller Formula)

B S A = \frac{\sqrt{W \times H}}{60}

$B S A = \frac{\sqrt{W \times H}}{60}$

W weight (kg)
H height (cm)

Echocardiography

Left and Right Ventricle

Left Ventricular Volume (Teicholz Formula)

L V E D V = [7 / (2.4 + L V E D D)] \cdot L V E D D^{3}

$L V E D V = [7 / (2.4 + L V E D D)] \cdot L V E D D^{3}$

LVEDV = LV end-diastolic volume (mL)
LVEDD = LV end-diastolic diameter (mm)
LVESD = LV end-systolic diameter (mm)

The same formula is used to calculate the left ventricular end-systolic volume (LVESV), substituting LVESD for LVEDD, and the percent difference is used to calculate the LVEF.

(See Fig. 14.4 , in which LVIDd = LVEDD and LVIDs = LVESD)

Left Ventricular Ejection Fraction (Simplified Quinones Equation)

L V E F = \frac{L V E D D^{2} - L V E S D^{2}}{L V E D D^{2}} \times 100 % + K

$L V E F = \frac{L V E D D^{2} - L V E S D^{2}}{L V E D D^{2}} \times 100 % + K$

LVEDD = LV end-diastolic diameter (mm)
LVESD = LV end-systolic diameter (mm)
K = correction for apical contraction
- +10% if normal
- +5% if hypokinetic
- +0% if akinetic
- −5% if dyskinetic
- −10% if aneurysmal

Left Ventricular Fractional Shortening

F S = \frac{L V E D D - L V E S D}{L V E D D} \times 100 %

$F S = \frac{L V E D D - L V E S D}{L V E D D} \times 100 %$

LVEDD = LV end-diastolic diameter (mm)
LVESD = LV end-systolic diameter (mm)

Left Ventricular Mass (Linear Method, Cube Formula)

L V M a s s = 0.8 (1.04 {(L V E D D + I V S d + P W d)}^{3} - L V E D D^{3}) + 0.6 g

$L V M a s s = 0.8 (1.04 {(L V E D D + I V S d + P W d)}^{3} - L V E D D^{3}) + 0.6 g$

LVEDD = LV end-diastolic diameter (mm)
LVESD = LV end-systolic diameter (mm)
IVSd = Interventricular septal thickness at end-diastole (mm)
PWd = Posterior wall thickness at end-diastole (mm)

Relative Wall Thickness

R W T = \frac{I V S d + P W d}{L V E D D}

$R W T = \frac{I V S d + P W d}{L V E D D}$

IVSd = Interventricular septal thickness at end-diastole (mm)
PWd = Posterior wall thickness at end-diastole (mm)
LVEDD = LV end-diastolic diameter (mm)

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