---
title: Basal oriented disks in simpson’s rule improves precision in volume estimations.
description: Accurate and reproducible assessment of LV  volumes from 2D echocardiography is critical for diagnosis of numerous cardiovascular diseases. Read the study.
---

[Proof ](https://www.ultromics.com/proof)

# [Basal oriented disks in simpson’s rule improves precision in volume estimations.](https://www.ultromics.com/proof/basal-oriented-disks-in-simpsons-rule-improves-precision-in-volume-estimations)

 Written by [Ultromics](https://www.ultromics.com/proof/author/ultromics) | Jun 18, 2021 12:44:00 PM

*Woo-Jin Cho Kim, Arian Beqiri, Adam Lewandovski, Esther Puyol, Deborah Markham, Andrew King, Paul Leeson, and Pablo Lamata.*<https://www.ultromics.com/hubfs/2022%20Website/PROOF/POSTERS/Basal-Oriented-Disks-in--Simpsons-Rule-Improves-precision-in-Volume-Estimations.jpg>

Poster of the study. Click image to open in new window.

## **Background**

Accurate and reproducible assessment of left ventricular (LV) volumes from 2D echocardiography is critical for diagnosis of numerous cardiovascular diseases. The Simpson’s bi-plane (SB) rule is considered the gold standard method for quantification but relies on a summation of discs approach that makes assumptions about LV orientation and cross sectional shape.

## **Methods**

Three retrospective cohorts representative of a young population (25 ± 3 y.o., n=200), an older population (62 ± 20 y.o., n=4100) and a heart failure population (n=50) were used to study the variations of LV orientation and cross-section ellipticity. Three methods to compute LV volume were studied (see Figure): the SB rule, the addition of a truncated basal cone (TBC) to SB, and a novel method of basal-oriented discs (BOD). In-silico idealised elliptical LV 3D models were used to systematically study the impact of the anatomical variations in the computation of volume.

## **Results**

LV basal slanting and cross-section eccentricity caused volume estimation errors with SB (up to 10 ml for slanting angles > 6°, and up to 10.8 ml for eccentricity of 1.1). These two characteristics were variable across the 3 populations with almost 60% of heart failure cases exhibiting high degrees of basal slanting (bθ > 12°). The BOD, unlike the TBC method, corrected for errors caused by basal slanting resulting in an average 1/3 reduction in the standard deviation of percentage volume errors across the cohorts. Eccentricity was a factor that changed not only subject to subject, but also slice to slice, and thus could not be corrected for with a bi-plane method.

## **Conclusion**

The summation of basal oriented disks, a novel interpretation of SB, is a more precise method for estimating LV volume.

[View full post](https://www.ultromics.com/proof/basal-oriented-disks-in-simpsons-rule-improves-precision-in-volume-estimations)

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