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Aortic Root Z-Score (Boston Formula) Calculator

  • Body Surface Area (BSA)
  • Measured Aortic Root Diameter (cm)
  • Aortic Root Z-Score (Boston Formula): Explanation and Clinical Context
    The Aortic Root Z-score is a body size–adjusted measurement that quantifies how a patient’s aortic root dimension compares to population-based reference values. The Boston formula, derived from pediatric and young adult cohorts, provides a reliable way to normalize aortic root diameter according to body surface area (BSA).

    A Z-score represents the number of standard deviations a given measurement differs from the predicted mean for a particular BSA. A Z-score of 0 means the aortic root size is exactly average for that body size, whereas positive values indicate enlargement and negative values indicate smaller dimensions than expected.

    Clinically, Z-scores are critical in diagnosing and monitoring aortic root dilatation in congenital or acquired conditions such as Marfan syndrome, Loeys–Dietz syndrome, and bicuspid aortic valve. A Z-score above +2 typically suggests pathological dilatation requiring further evaluation, serial imaging, or medical management. Conversely, values below -2 may indicate aortic hypoplasia.

    In pediatric and young adult populations, the Boston formula has been validated for echocardiographic assessment across a wide range of BSA values and is recommended by major cardiology societies for standardized reporting.

    Reference:
    Lopez L, Colan SD, Frommelt PC, Ensing GJ, Kendall K, Younoszai AK, Lai WW, Geva T. Recommendations for quantification methods during the performance of a pediatric echocardiogram: a report from the Pediatric Measurements Writing Group of the American Society of Echocardiography Pediatric and Congenital Heart Disease Council. J Am Soc Echocardiogr. 2010;23(5):465–495. doi:10.1016/j.echo.2010.03.019