TY - JOUR
T1 - Mathematical Modeling of the Heart Using Magnetic Resonance Imaging
AU - Creswell, Lawrence L.
AU - Wyers, Stephan G.
AU - Piro, John S.
AU - Pasque, Michael K.
AU - Perman, William H.
AU - Vannier, Michael W.
N1 - Funding Information:
Manuscript received November 25, 1991; revised March 10, 1992. This work was supported in part by the National Institutes of Health under Grant HL445 1 1. L. L. Creswell, S. G. Wyers, J. S. Pirolo, and M. K. Pasque are with the Department of Surgery, Division of Cardiothoracic Surgery, Barncs Hospital, St. Louis, MO 63110. W. H. Perman and M. W. Vannier are with The Mallinckrodt Institute of Radiology, Washington University, St. Louis, MO 631 10. IEEE Log Number 9201736.
PY - 1992/12
Y1 - 1992/12
N2 - A hybrid three-dimensional solid mathematical model of cardiac ventricular geometry was developed using magnetic resonance (MR) images of the in vivo canine heart. The modeling techniques were validated using MR images of an ex vivo heart and direct measurements of cardiac geometry and mass properties. A spin-echo MR sequence with in-plane resolution of 1.0 mm was used to image the canine heart in 11 short-axis planes at contiguous 5 mm intervals. Contours points on the epicardial, left ventricular (LV), and right ventricular (RV) boundaries were selected manually at each slice level. A boundary representation geometric model was constructed by fitting third-order nonuniform rational B-spline (NURBS) surfaces through each set of surface points. Validation was performed with a formalin-preserved ex vivo canine heart. Compared to the anatomic specimen (AS), volume errors of the ex vivo model were 0.3, 1.5, and 5.8% for the LV cavity, RV cavity, and total enclosed volumes, respectively. Comparison of cross-sectional areas of the AS and the model at 10 levels demonstrated mean model errors of 4.1, 2.5, and 2.9% for the LV, RV, and epicardial boundaries, respectively. The methodology is relatively noninvasive, provides acceptable geometric accuracy, and is clinically applicable.
AB - A hybrid three-dimensional solid mathematical model of cardiac ventricular geometry was developed using magnetic resonance (MR) images of the in vivo canine heart. The modeling techniques were validated using MR images of an ex vivo heart and direct measurements of cardiac geometry and mass properties. A spin-echo MR sequence with in-plane resolution of 1.0 mm was used to image the canine heart in 11 short-axis planes at contiguous 5 mm intervals. Contours points on the epicardial, left ventricular (LV), and right ventricular (RV) boundaries were selected manually at each slice level. A boundary representation geometric model was constructed by fitting third-order nonuniform rational B-spline (NURBS) surfaces through each set of surface points. Validation was performed with a formalin-preserved ex vivo canine heart. Compared to the anatomic specimen (AS), volume errors of the ex vivo model were 0.3, 1.5, and 5.8% for the LV cavity, RV cavity, and total enclosed volumes, respectively. Comparison of cross-sectional areas of the AS and the model at 10 levels demonstrated mean model errors of 4.1, 2.5, and 2.9% for the LV, RV, and epicardial boundaries, respectively. The methodology is relatively noninvasive, provides acceptable geometric accuracy, and is clinically applicable.
UR - http://www.scopus.com/inward/record.url?scp=0001402054&partnerID=8YFLogxK
U2 - 10.1109/42.192695
DO - 10.1109/42.192695
M3 - Article
C2 - 18222901
AN - SCOPUS:0001402054
SN - 0278-0062
VL - 11
SP - 581
EP - 589
JO - IEEE Transactions on Medical Imaging
JF - IEEE Transactions on Medical Imaging
IS - 4
ER -