Conference proceeding
Sensitivity analysis of Jacobian determinant used in treatment planning for lung cancer
Progress in Biomedical Optics and Imaging - Proceedings of SPIE, Vol.10574, pp.1057418-1057418-9
03/02/2018
DOI: 10.1117/12.2293920
Abstract
Four-dimensional computed tomography (4DCT) is regularly used to visualize tumor motion in radiation therapy for lung cancer. These 4DCT images can be analyzed to estimate local ventilation by finding a dense correspondence map between the end inhalation and the end exhalation CT image volumes using deformable image registration. Lung regions with ventilation values above a threshold are labeled as regions of high pulmonary function and are avoided when possible in the radiation plan. This paper investigates a sensitivity analysis of the relative Jacobian error to small registration errors. We present a linear approximation of the relative Jacobian error. Next, we give a formula for the sensitivity of the relative Jacobian error with respect to the Jacobian of perturbation displacement field. Preliminary sensitivity analysis results are presented using 4DCT scans from 10 individuals. For each subject, we generated 6400 random smooth biologically plausible perturbation vector fields using a cubic B-spline model. We showed that the correlation between the Jacobian determinant and the Frobenius norm of the sensitivity matrix is close to -1, which implies that the relative Jacobian error in high-functional regions is less sensitive to noise. We also showed that small displacement errors on the average of 0.53 mm may lead to a 10% relative change in Jacobian determinant. We finally showed that the average relative Jacobian error and the sensitivity of the system for all subjects are positively correlated (close to +1), i.e. regions with high sensitivity has more error in Jacobian determinant on average.
Details
- Title: Subtitle
- Sensitivity analysis of Jacobian determinant used in treatment planning for lung cancer
- Creators
- Wei Shao - University of IowaSarah E Gerard - University of IowaYue Pan - University of IowaTaylor J Patton - University of Wisconsin–MadisonJoseph M Reinhardt - University of IowaOguz C Durumeric - University of IowaJohn E Bayouth - University of Wisconsin–MadisonGary E Christensen - University of Iowa
- Contributors
- Elsa D Angelini (Editor) - Imperial College LondonBennett A Landman (Editor) - Vanderbilt University
- Resource Type
- Conference proceeding
- Publication Details
- Progress in Biomedical Optics and Imaging - Proceedings of SPIE, Vol.10574, pp.1057418-1057418-9
- Publisher
- SPIE
- DOI
- 10.1117/12.2293920
- ISSN
- 1605-7422
- Language
- English
- Date published
- 03/02/2018
- Academic Unit
- Mathematics; Electrical and Computer Engineering; Roy J. Carver Department of Biomedical Engineering; Radiology; Radiation Oncology; Radiation Research Laboratory; The Iowa Institute for Biomedical Imaging; Advanced Pulmonary Physiomic Imaging Laboratory; Holden Comprehensive Cancer Center
- Record Identifier
- 9984196975502771
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