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An ellipsoidal shell model for volume estimation of the right ventricle from magnetic resonance images
1South Carolina Children's Heart Center, Medical University of South Carolina, Charleston 29425-0680, USA.
Rationale And Objectives:
I developed a volume estimation technique for the crescentic volume of the right ventricle (RV) of the heart. A geometric model was desired to avoid the lengthy data collection and reduction required by Simpson's rule.
Methods:
An ellipsoidal shell model was developed that requires only simple mathematics and that resembles the RV shape. RV cast volumes were obtained by water displacement and Simpson's rule and model-based calculations using magnetic resonance (MR) imaging.
Results:
Model-based estimates correlated well with water displacement volumes (r = 0.924), with a slope not significantly different from unity. Simpson's rule results showed a higher correlation (r = 0.994), but it required longer acquisition and processing. Geometric irregularity in the RV shape required no modification in mathematics.
Conclusion:
The model provides reliable RV volume estimates from two MR image planes. The mathematics provides a simple approach to a relatively complex, crescentic shape. Short times for data acquisition and analysis suggest the potential for time savings during routine clinical measurements.
