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Related Concept Videos

Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

When a material is subjected to uniaxial stress, it elongates or contracts in the direction of the applied force, and also undergoes changes in the perpendicular directions. This behavior is crucial for understanding how materials behave under stress and is governed by mechanical properties such as Poisson's ratio v, which measures the ratio of transverse strain to axial strain.
As the material stretches, it expands or contracts in orthogonal directions to the load. This phenomenon varies...
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

When a rod is made of different materials or has various cross-sections, it must be divided into parts that meet the necessary conditions for determining the deformation. These parts are each characterized by their internal force, cross-sectional area, length, and modulus of elasticity. These parameters are then used to compute the deformation of the entire rod.
In the case of a member with a variable cross-section, the strain is not constant but depends on the position. The deformation of an...

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Diffusion Tensor Magnetic Resonance Imaging in the Analysis of Neurodegenerative Diseases
09:33

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Published on: July 28, 2013

Population based analysis of directional information in serial deformation tensor morphometry.

Colin Studholme1, Valerie Cardenas

  • 1Department of Radiology, University of California San Francisco, USA. colin.studholme@ieee.org

Medical Image Computing and Computer-Assisted Intervention : MICCAI ... International Conference on Medical Image Computing and Computer-Assisted Intervention
|November 30, 2007
PubMed
Summary

This study introduces a new method for analyzing brain volume changes using the full deformation tensor, revealing subtle structural patterns not seen in traditional scalar analyses. This approach enhances understanding of brain recovery, such as after alcohol abuse.

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Area of Science:

  • Neuroimaging
  • Brain anatomy
  • Morphometry

Background:

  • Deformation morphometry detects subtle brain volume changes.
  • Population studies use scalar volume changes to identify neurodegenerative patterns.
  • Current methods often analyze only the scalar determinant of the Jacobian, limiting insight.

Purpose of the Study:

  • To describe a novel approach for spatial normalization and analysis of the full deformation tensor.
  • To enable a more comprehensive understanding of brain structural changes.

Main Methods:

  • Spatial relocation and reorientation of individual subject tensors.
  • Linear modeling of clinical variable effects on deformation tensor components.
  • Analysis of the full deformation tensor, not just scalar volume change.

Main Results:

  • The new method reveals local structural patterns previously unapparent.
  • Significant patterns of volume change effects were identified in alcohol abuse recovery.
  • The orientation and significance of volume changes were analyzed.

Conclusions:

  • Analyzing the full deformation tensor provides richer insights than scalar methods.
  • This approach enhances the detection and characterization of brain changes in various conditions.
  • The method shows promise for understanding recovery processes, like in alcohol abuse.