A principal component analysis-based framework for statistical modeling of bone displacement during wrist maneuvers

Brent H. Foster, Calvin B. Shaw, Robert D Boutin, Anand A. Joshi, Christopher Bayne, Robert M Szabo, Abhijit Chaudhari

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We present a method for the statistical modeling of the displacements of wrist bones during the performance of coordinated maneuvers, such as radial-ulnar deviation (RUD). In our approach, we decompose bone displacement via a set of basis functions, identified via principal component analysis (PCA). We utilized MRI wrist scans acquired at multiple static positions for deriving these basis functions. We then utilized these basis functions to compare the displacements undergone by the bones of the left versus right wrist in the same individual, and between bones of the wrists of men and women, during the performance of the coordinated RUD maneuver. Our results show that the complex displacements of the wrist bones during RUD can be modeled with high reliability with just 5 basis functions, that captured over 91% of variation across individuals. The basis functions were able to predict intermediate wrist bone poses with an overall high accuracy (mean error of 0.26 mm). Our proposed approach found statistically significant differences between bone displacement trajectories in women versus men, however, did not find significant differences in those of the left versus right wrist in the same individual. Our proposed method has the potential to enable detailed analysis of wrist kinematics for each sex, and provide a robust framework for characterizing the normal and pathologic displacement of the wrist bones, such as in the context of wrist instability.

Original languageEnglish (US)
Pages (from-to)173-181
Number of pages9
JournalJournal of Biomechanics
Volume85
DOIs
StatePublished - Mar 6 2019

Fingerprint

Principal Component Analysis
Wrist
Principal component analysis
Bone
Bone and Bones
Kinematics
Biomechanical Phenomena
Trajectories
Magnetic Resonance Imaging

Keywords

  • Principal component analysis
  • Sex differences
  • Statistical modeling
  • Wrist bone displacement

ASJC Scopus subject areas

  • Biophysics
  • Orthopedics and Sports Medicine
  • Biomedical Engineering
  • Rehabilitation

Cite this

A principal component analysis-based framework for statistical modeling of bone displacement during wrist maneuvers. / Foster, Brent H.; Shaw, Calvin B.; Boutin, Robert D; Joshi, Anand A.; Bayne, Christopher; Szabo, Robert M; Chaudhari, Abhijit.

In: Journal of Biomechanics, Vol. 85, 06.03.2019, p. 173-181.

Research output: Contribution to journalArticle

@article{5c3bf0837e574a38baa60fe5f4d5c45f,
title = "A principal component analysis-based framework for statistical modeling of bone displacement during wrist maneuvers",
abstract = "We present a method for the statistical modeling of the displacements of wrist bones during the performance of coordinated maneuvers, such as radial-ulnar deviation (RUD). In our approach, we decompose bone displacement via a set of basis functions, identified via principal component analysis (PCA). We utilized MRI wrist scans acquired at multiple static positions for deriving these basis functions. We then utilized these basis functions to compare the displacements undergone by the bones of the left versus right wrist in the same individual, and between bones of the wrists of men and women, during the performance of the coordinated RUD maneuver. Our results show that the complex displacements of the wrist bones during RUD can be modeled with high reliability with just 5 basis functions, that captured over 91{\%} of variation across individuals. The basis functions were able to predict intermediate wrist bone poses with an overall high accuracy (mean error of 0.26 mm). Our proposed approach found statistically significant differences between bone displacement trajectories in women versus men, however, did not find significant differences in those of the left versus right wrist in the same individual. Our proposed method has the potential to enable detailed analysis of wrist kinematics for each sex, and provide a robust framework for characterizing the normal and pathologic displacement of the wrist bones, such as in the context of wrist instability.",
keywords = "Principal component analysis, Sex differences, Statistical modeling, Wrist bone displacement",
author = "Foster, {Brent H.} and Shaw, {Calvin B.} and Boutin, {Robert D} and Joshi, {Anand A.} and Christopher Bayne and Szabo, {Robert M} and Abhijit Chaudhari",
year = "2019",
month = "3",
day = "6",
doi = "10.1016/j.jbiomech.2019.01.030",
language = "English (US)",
volume = "85",
pages = "173--181",
journal = "Journal of Biomechanics",
issn = "0021-9290",
publisher = "Elsevier Limited",

}

TY - JOUR

T1 - A principal component analysis-based framework for statistical modeling of bone displacement during wrist maneuvers

AU - Foster, Brent H.

AU - Shaw, Calvin B.

AU - Boutin, Robert D

AU - Joshi, Anand A.

AU - Bayne, Christopher

AU - Szabo, Robert M

AU - Chaudhari, Abhijit

PY - 2019/3/6

Y1 - 2019/3/6

N2 - We present a method for the statistical modeling of the displacements of wrist bones during the performance of coordinated maneuvers, such as radial-ulnar deviation (RUD). In our approach, we decompose bone displacement via a set of basis functions, identified via principal component analysis (PCA). We utilized MRI wrist scans acquired at multiple static positions for deriving these basis functions. We then utilized these basis functions to compare the displacements undergone by the bones of the left versus right wrist in the same individual, and between bones of the wrists of men and women, during the performance of the coordinated RUD maneuver. Our results show that the complex displacements of the wrist bones during RUD can be modeled with high reliability with just 5 basis functions, that captured over 91% of variation across individuals. The basis functions were able to predict intermediate wrist bone poses with an overall high accuracy (mean error of 0.26 mm). Our proposed approach found statistically significant differences between bone displacement trajectories in women versus men, however, did not find significant differences in those of the left versus right wrist in the same individual. Our proposed method has the potential to enable detailed analysis of wrist kinematics for each sex, and provide a robust framework for characterizing the normal and pathologic displacement of the wrist bones, such as in the context of wrist instability.

AB - We present a method for the statistical modeling of the displacements of wrist bones during the performance of coordinated maneuvers, such as radial-ulnar deviation (RUD). In our approach, we decompose bone displacement via a set of basis functions, identified via principal component analysis (PCA). We utilized MRI wrist scans acquired at multiple static positions for deriving these basis functions. We then utilized these basis functions to compare the displacements undergone by the bones of the left versus right wrist in the same individual, and between bones of the wrists of men and women, during the performance of the coordinated RUD maneuver. Our results show that the complex displacements of the wrist bones during RUD can be modeled with high reliability with just 5 basis functions, that captured over 91% of variation across individuals. The basis functions were able to predict intermediate wrist bone poses with an overall high accuracy (mean error of 0.26 mm). Our proposed approach found statistically significant differences between bone displacement trajectories in women versus men, however, did not find significant differences in those of the left versus right wrist in the same individual. Our proposed method has the potential to enable detailed analysis of wrist kinematics for each sex, and provide a robust framework for characterizing the normal and pathologic displacement of the wrist bones, such as in the context of wrist instability.

KW - Principal component analysis

KW - Sex differences

KW - Statistical modeling

KW - Wrist bone displacement

UR - http://www.scopus.com/inward/record.url?scp=85061034940&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85061034940&partnerID=8YFLogxK

U2 - 10.1016/j.jbiomech.2019.01.030

DO - 10.1016/j.jbiomech.2019.01.030

M3 - Article

C2 - 30738587

AN - SCOPUS:85061034940

VL - 85

SP - 173

EP - 181

JO - Journal of Biomechanics

JF - Journal of Biomechanics

SN - 0021-9290

ER -