Automatic Segmentation of Mechanically Inhomogeneous Tissues Based on Deformation Gradient Jump

Colleen M. Witzenburg, Rohit Y. Dhume, Spencer P. Lake, Victor H Barocas

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

Variations in properties, active behavior, injury, scarring, and/or disease can all cause a tissue's mechanical behavior to be heterogeneous. Advances in imaging technology allow for accurate full-field displacement tracking of both in vitro and in vivo deformation from an applied load. While detailed strain fields provide some insight into tissue behavior, material properties are usually determined by fitting stress-strain behavior with a constitutive equation. However, the determination of the mechanical behavior of heterogeneous soft tissue requires a spatially varying constitutive equation (i.e., one in which the material parameters vary with position). We present an approach that computationally dissects the sample domain into many homogeneous subdomains, wherein subdomain boundaries are formed by applying a betweenness based graphical analysis to the deformation gradient field to identify locations with large discontinuities. This novel partitioning technique successfully determined the shape, size and location of regions with locally similar material properties for: (1) a series of simulated soft tissue samples prescribed with both abrupt and gradual changes in anisotropy strength, prescribed fiber alignment, stiffness, and nonlinearity, (2) tissue analogs (PDMS and collagen gels) which were tested biaxially and speckle tracked (3) and soft tissues which exhibited a natural variation in properties (cadaveric supraspinatus tendon), a pathologic variation in properties (thoracic aorta containing transmural plaque), and active behavior (contracting cardiac sheet). The routine enables the dissection of samples computationally rather than physically, allowing for the study of small tissues specimens with unknown and irregular inhomogeneity.

Original languageEnglish (US)
Article number7151819
Pages (from-to)29-41
Number of pages13
JournalIEEE Transactions on Medical Imaging
Volume35
Issue number1
DOIs
StatePublished - Jan 1 2016

Fingerprint

Tissue
Constitutive equations
Materials properties
Dissection
Rotator Cuff
Anisotropy
Tendons
Speckle
Thoracic Aorta
Collagen
Cicatrix
Loads (forces)
Gels
Stiffness
Technology
Imaging techniques
Fibers
Wounds and Injuries

Keywords

  • Biaxial testing
  • Biomechanics
  • Elastography
  • Graph Theory
  • Heterogeneity
  • Inverse methods
  • Pattern recognition
  • Subdomain method
  • Tissue mechanics

Cite this

Automatic Segmentation of Mechanically Inhomogeneous Tissues Based on Deformation Gradient Jump. / Witzenburg, Colleen M.; Dhume, Rohit Y.; Lake, Spencer P.; Barocas, Victor H.

In: IEEE Transactions on Medical Imaging, Vol. 35, No. 1, 7151819, 01.01.2016, p. 29-41.

Research output: Contribution to journalArticle

Witzenburg, Colleen M. ; Dhume, Rohit Y. ; Lake, Spencer P. ; Barocas, Victor H. / Automatic Segmentation of Mechanically Inhomogeneous Tissues Based on Deformation Gradient Jump. In: IEEE Transactions on Medical Imaging. 2016 ; Vol. 35, No. 1. pp. 29-41.
@article{4768635b229d40b4af89c86c10268aa0,
title = "Automatic Segmentation of Mechanically Inhomogeneous Tissues Based on Deformation Gradient Jump",
abstract = "Variations in properties, active behavior, injury, scarring, and/or disease can all cause a tissue's mechanical behavior to be heterogeneous. Advances in imaging technology allow for accurate full-field displacement tracking of both in vitro and in vivo deformation from an applied load. While detailed strain fields provide some insight into tissue behavior, material properties are usually determined by fitting stress-strain behavior with a constitutive equation. However, the determination of the mechanical behavior of heterogeneous soft tissue requires a spatially varying constitutive equation (i.e., one in which the material parameters vary with position). We present an approach that computationally dissects the sample domain into many homogeneous subdomains, wherein subdomain boundaries are formed by applying a betweenness based graphical analysis to the deformation gradient field to identify locations with large discontinuities. This novel partitioning technique successfully determined the shape, size and location of regions with locally similar material properties for: (1) a series of simulated soft tissue samples prescribed with both abrupt and gradual changes in anisotropy strength, prescribed fiber alignment, stiffness, and nonlinearity, (2) tissue analogs (PDMS and collagen gels) which were tested biaxially and speckle tracked (3) and soft tissues which exhibited a natural variation in properties (cadaveric supraspinatus tendon), a pathologic variation in properties (thoracic aorta containing transmural plaque), and active behavior (contracting cardiac sheet). The routine enables the dissection of samples computationally rather than physically, allowing for the study of small tissues specimens with unknown and irregular inhomogeneity.",
keywords = "Biaxial testing, Biomechanics, Elastography, Graph Theory, Heterogeneity, Inverse methods, Pattern recognition, Subdomain method, Tissue mechanics",
author = "Witzenburg, {Colleen M.} and Dhume, {Rohit Y.} and Lake, {Spencer P.} and Barocas, {Victor H}",
year = "2016",
month = "1",
day = "1",
doi = "10.1109/TMI.2015.2453316",
language = "English (US)",
volume = "35",
pages = "29--41",
journal = "IEEE Transactions on Medical Imaging",
issn = "0278-0062",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "1",

}

TY - JOUR

T1 - Automatic Segmentation of Mechanically Inhomogeneous Tissues Based on Deformation Gradient Jump

AU - Witzenburg, Colleen M.

AU - Dhume, Rohit Y.

AU - Lake, Spencer P.

AU - Barocas, Victor H

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Variations in properties, active behavior, injury, scarring, and/or disease can all cause a tissue's mechanical behavior to be heterogeneous. Advances in imaging technology allow for accurate full-field displacement tracking of both in vitro and in vivo deformation from an applied load. While detailed strain fields provide some insight into tissue behavior, material properties are usually determined by fitting stress-strain behavior with a constitutive equation. However, the determination of the mechanical behavior of heterogeneous soft tissue requires a spatially varying constitutive equation (i.e., one in which the material parameters vary with position). We present an approach that computationally dissects the sample domain into many homogeneous subdomains, wherein subdomain boundaries are formed by applying a betweenness based graphical analysis to the deformation gradient field to identify locations with large discontinuities. This novel partitioning technique successfully determined the shape, size and location of regions with locally similar material properties for: (1) a series of simulated soft tissue samples prescribed with both abrupt and gradual changes in anisotropy strength, prescribed fiber alignment, stiffness, and nonlinearity, (2) tissue analogs (PDMS and collagen gels) which were tested biaxially and speckle tracked (3) and soft tissues which exhibited a natural variation in properties (cadaveric supraspinatus tendon), a pathologic variation in properties (thoracic aorta containing transmural plaque), and active behavior (contracting cardiac sheet). The routine enables the dissection of samples computationally rather than physically, allowing for the study of small tissues specimens with unknown and irregular inhomogeneity.

AB - Variations in properties, active behavior, injury, scarring, and/or disease can all cause a tissue's mechanical behavior to be heterogeneous. Advances in imaging technology allow for accurate full-field displacement tracking of both in vitro and in vivo deformation from an applied load. While detailed strain fields provide some insight into tissue behavior, material properties are usually determined by fitting stress-strain behavior with a constitutive equation. However, the determination of the mechanical behavior of heterogeneous soft tissue requires a spatially varying constitutive equation (i.e., one in which the material parameters vary with position). We present an approach that computationally dissects the sample domain into many homogeneous subdomains, wherein subdomain boundaries are formed by applying a betweenness based graphical analysis to the deformation gradient field to identify locations with large discontinuities. This novel partitioning technique successfully determined the shape, size and location of regions with locally similar material properties for: (1) a series of simulated soft tissue samples prescribed with both abrupt and gradual changes in anisotropy strength, prescribed fiber alignment, stiffness, and nonlinearity, (2) tissue analogs (PDMS and collagen gels) which were tested biaxially and speckle tracked (3) and soft tissues which exhibited a natural variation in properties (cadaveric supraspinatus tendon), a pathologic variation in properties (thoracic aorta containing transmural plaque), and active behavior (contracting cardiac sheet). The routine enables the dissection of samples computationally rather than physically, allowing for the study of small tissues specimens with unknown and irregular inhomogeneity.

KW - Biaxial testing

KW - Biomechanics

KW - Elastography

KW - Graph Theory

KW - Heterogeneity

KW - Inverse methods

KW - Pattern recognition

KW - Subdomain method

KW - Tissue mechanics

UR - http://www.scopus.com/inward/record.url?scp=84959423176&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959423176&partnerID=8YFLogxK

U2 - 10.1109/TMI.2015.2453316

DO - 10.1109/TMI.2015.2453316

M3 - Article

VL - 35

SP - 29

EP - 41

JO - IEEE Transactions on Medical Imaging

JF - IEEE Transactions on Medical Imaging

SN - 0278-0062

IS - 1

M1 - 7151819

ER -