Abstract
Over the past decade, therapy for thoracic aneurysms involving the use of a stent-graft has gained popularity as an alternate therapy for surgical treatment. This therapy is considered to be safe and efficient, and realizes satisfactory short-to-midterm results. However, a clinical side effect called endoleak has often been observed after alternate therapy. Based on the empirical findings of doctors, if a stent-graft is inserted into the part of the large curvature on the aortic angiography of a patient, it is believed that there is an increased risk of endoleak formation. To understand the relationship between the risk and the aortic curvature, we set a two-class discriminant problem involving no-endoleak and endoleak groups, and apply linear discriminant analysis to the two-class discriminant problem with a quantitative dataset that is associated with the curvature of aortic angiography and the insertion position of a stent-graft. Next, we propose a procedure for the diagnostics based on the sign of the sample influence function for the average discriminant score in each class. In addition, we apply our proposed diagnostic procedure to the prediction result of the two-class linear discriminant analysis, and detect large influential individuals for the improvement of the prediction accuracy for endoleak groups. With our approach, we determine the relation between the curvature of the aorta and the risk of endoleak formation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Appoo, J. J., Moser, W. G., Fairman, R. M., Cornelius, K. F., Pochettino, A., Woo, E. Y., et al. (2006). Thoracic aortic stent grafting: improving results with newer generation investigational devices. The Journal of Thoracic and Cardiovascular Surgery, 131(5), 1087–1094.
Bortone, A. S., De Cillis, E., D’Agostino, D., & de Luca Tupputi Schinosa, L. (2004). Endovascular treatment of thoracic aortic disease: four years of experience. Circulation, 110, II262-II267.
Hampel, F. R., Ronchetti, E. M., Rousseeuw, P. J., & Stahel, W. A. (1986). Robust statistics: The approach based on influence functions (pp. 92–95). New York: Wiley.
Hastie, T., Tibshirani, R., & Friedman, J. (2001). The elements of statistical learning (pp. 84–88). New York: Springer.
Nakatamari, H., Ueda, T., Ishioka, F., Raman, B., Kurihara, K., Rubin, G. D., et al. (2011). Discriminant analysis of native thoracic aortic curvature: Risk prediction for endoleak formation after thoracic endovascular aortic repair. Journal of Vascular and Interventional Radiology, 22(7), 974–979.
Serag, A. R., Bergeron, P., Mathieu, X., Piret, V., Petrosyan, A., & Gay, J. (2007). Identification of proximal landing zone limit for proper deployment of aortic arch stentgraft after supra-aortic great vessels transposition. The Journal of Cardiovascular Surgery, 48(6), 805–807.
Tanaka, Y. (1994). Recent advance in sensitivity analysis in multivariate statistical methods. Journal of the Japanese Society of Computational Statistics, 7(1), 1–25.
Acknowledgment
This work was partly supported by the Core Research of Evolutional Science & Technology (CREST) of the Japan Science and Technology Agency (Project: Alliance between Mathematics and Radiology).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Hayashi, K. et al. (2014). Statistical Assessment for Risk Prediction of Endoleak Formation After TEVAR Based on Linear Discriminant Analysis. In: Vicari, D., Okada, A., Ragozini, G., Weihs, C. (eds) Analysis and Modeling of Complex Data in Behavioral and Social Sciences. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Cham. https://doi.org/10.1007/978-3-319-06692-9_16
Download citation
DOI: https://doi.org/10.1007/978-3-319-06692-9_16
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-06691-2
Online ISBN: 978-3-319-06692-9
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)