Mathematical model of distal radius orientation

Cheng-Kuang Chen; Tai-Yin Wu; Yu-Ciao Liao; Chiou-Shann Fuh; Kuan-Hao Chen; Pei-Wei Weng; Jr-Yi Wang; Chih-Yu Chen; Yu-Min Huang; Chung-Pei Chen; Yo-Lun Chu; Kuei-Lin Yeh; Ching-Hsiao Yu; Hung-Kang Wu; Wei-Peng Lin; Tsan-Hon Liou; Mai-Szu Wu; Chen-Kun Liaw

doi:10.3389/fsurg.2022.1000404

Mathematical model of distal radius orientation

Front Surg. 2022 Oct 14:9:1000404. doi: 10.3389/fsurg.2022.1000404. eCollection 2022.

Authors

Cheng-Kuang Chen^{1

2}, Tai-Yin Wu^{3

4

5}, Yu-Ciao Liao⁶, Chiou-Shann Fuh⁶, Kuan-Hao Chen^{7

8}, Pei-Wei Weng^{7

8

9}, Jr-Yi Wang^{7

8}, Chih-Yu Chen^{7

8

9

10}, Yu-Min Huang^{7

8}, Chung-Pei Chen¹¹, Yo-Lun Chu^{1

2

12}, Kuei-Lin Yeh^{6

13

14}, Ching-Hsiao Yu^{15

16}, Hung-Kang Wu^{15

16

17}, Wei-Peng Lin^{16

18}, Tsan-Hon Liou¹⁹, Mai-Szu Wu²⁰, Chen-Kun Liaw^{7

8

9

21}

Affiliations

¹ Department of Orthopedics, Shin Kong Wu Ho-Su Memorial Hospital, Taipei, Taiwan.
² Department of Biomedical Engineering, National Taiwan University, Taipei, Taiwan.
³ Department of Family Medicine, Zhongxing Branch, Taipei City Hospital, Taipei, Taiwan.
⁴ Institute of Epidemiology and Preventive Medicine, National Taiwan University, Taipei, Taiwan.
⁵ General Education Center, University of Taipei, Taipei, Taiwan.
⁶ Institute of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan.
⁷ Department of Orthopedics, School of Medicine, College of Medicine, Taipei Medical University, Taipei City, Taiwan.
⁸ Department of Orthopedics, Shuang Ho Hospital, Taipei Medical University, New Taipei City, Taiwan.
⁹ Graduate Institute of Biomedical Optomechatronics, College of Biomedical Engineering; Research Center of Biomedical Device, Taipei Medical University, Taipei City, Taiwan.
¹⁰ International Ph.D. Program in Biomedical Engineering, College of Biomedical Engineering, Taipei Medical University, Taipei, Taiwan.
¹¹ Department of Orthopedics, Cathay General Hospital, Taipei, Taiwan.
¹² School of Medicine, College of Medicine, Fu Jen Catholic University, New Taipei City, Taiwan.
¹³ Department of Orthopaedics, Ditmanson Medical Foundation Chia-Yi Christian Hospital, Chia-Yi City, Taiwan.
¹⁴ Department of Long-Term Care and Management, WuFeng University, Chiayi County, Taiwan.
¹⁵ Department of Orthopaedic Surgery, Taoyuan General Hospital, Ministry of Health and Welfare, Taoyuan City, Taiwan.
¹⁶ Department of Orthopaedic Surgery, National Taiwan University Hospital, Taipei, Taiwan.
¹⁷ Department of Nursing, Yuanpei University of Medical Technology, Hsinchu City, Taiwan.
¹⁸ Department of Orthopedics, Postal Hospital, Taipei, Taiwan.
¹⁹ Department of Physical Medicine and Rehabilitation, School of Medicine, College of Medicine, Taipei Medical University, Taipei City, Taiwan.
²⁰ Division of Nephrology, School of Medicine, College of Medicine, Taipei Medical University, Taipei City, Taiwan.
²¹ TMU Biodesign Center, Taipei Medical University, Taipei, Taiwan.

Abstract

Distal radius orientation is important in evaluating Colles' fracture. In most cases, the wrist was protected by a bandage, splint, or cast. Therefore, it was difficult for the radiology technician to take perfect anteroposterior and lateral view radiographs. In this study, we build a mathematical model and calculate the pronation angle needed to produce dorsal tilt, which is a volar tilt in a perfect lateral view radiograph. The formulas are all incorporated into Excel to facilitate usage.

Keywords: distal radius inclination; distal radius volar tilt; pronation; rotation matrix; supination.