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Related Concept Videos

Deformations in a Transverse Cross Section01:21

Deformations in a Transverse Cross Section

187
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...
187
Deformations in a Symmetric Member in Bending01:18

Deformations in a Symmetric Member in Bending

166
When analyzing the deformation of a symmetric prismatic member subjected to bending by equal and opposite couples, it becomes clear that as the member bends, the originally straight lines on its wider faces curve into circular arcs, with a constant radius centered at a point known as Point C. This phenomenon helps to understand the stress and strain distribution within the member more clearly.
When the member is segmented into tiny cubic elements, it is observed that the primary stress...
166
Deformation of Member under Multiple Loadings01:11

Deformation of Member under Multiple Loadings

163
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...
163
Plastic Deformations of Members with a Single Plane of Symmetry01:21

Plastic Deformations of Members with a Single Plane of Symmetry

87
When a structural member undergoes plastic deformation due to bending, it is crucial to understand the position of the neutral axis and the stress distribution. This member, characterized by a single plane of symmetry, exhibits a uniform stress distribution, with negative stress above the neutral axis and positive stress below. Notably, the neutral axis does not align with the centroid of the cross-section. This misalignment is typical in cases where the cross-section is not rectangular or...
87
Temperature Dependent Deformation01:12

Temperature Dependent Deformation

147
In a nonhomogeneous rod made up of steel and brass, restrained at both ends and subjected to a temperature change, several steps are involved in calculating the stress and compressive load. Due to the problem's static indeterminacy, one end support is disconnected, allowing the rod to experience the temperature change freely. Next, an unknown force is applied at the free end, triggering deformations in the rod's steel and brass portions. These deformations are then calculated and added...
147
Deformation in a Circular Shaft01:10

Deformation in a Circular Shaft

284
One of the distinctive characteristics of circular shafts is their ability to maintain their cross-sectional integrity under torsion. In other words, each cross-section continues to exist as a flat, unaltered entity, simply rotating like a solid, rigid slab. To understand the distribution of shearing stress within such a shaft, consider a cylindrical section inside this circular shaft. This section has a length of L and a radius of R, with one end fixed. The radius of the cylindrical section is...
284

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Updated: Jun 25, 2025

Author Spotlight: Enhancing Diagnostic Strategies and Biomarker Development for Comprehensive Lung Function Analysis
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Deformable vector fields warping for modelling of irregular breathing∗.

Anna Chiara Giovannelli1,2, Andreas Köthe1,2, Alisha Duetschler1,2

  • 1Center for Proton Therapy, Paul Scherrer Institute, 5232 Villigen, Switzerland.

Biomedical Physics & Engineering Express
|May 21, 2024
PubMed
Summary

This study introduces a novel method to model breathing motion variability in lung cancer patients using multi-breath 4D CT. This approach enhances the definition of radiation therapy treatment volumes by accounting for intra-patient breathing variations.

Keywords:
4D imagingdeformable image registrationlung cancerorgan motion

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Area of Science:

  • Medical Imaging
  • Radiation Oncology
  • Computational Biology

Background:

  • 4D computed tomography (4DCT) is standard for imaging organ motion in radiotherapy but has limitations in capturing breathing variability.
  • Accurate imaging of respiratory motion is crucial for effective radiotherapy planning, especially for lung cancer patients.

Purpose of the Study:

  • To develop and validate a method for transferring breathing motion across longitudinal imaging datasets to incorporate intra-patient variability.
  • To improve the definition of treatment volumes and margins in radiation therapy by better understanding patient-specific breathing motion.

Main Methods:

  • Combined five repeated 4DCT scans from 6 non-small cell lung cancer patients into multi-breath datasets (m4DCT) using deformable image registration.
  • Quantified intra-patient differences by evaluating tumor center of mass displacement and volume changes.
  • Compared internal target volumes (ITVs) defined on m4DCT with those from conventional 4DCT.

Main Results:

  • The method successfully merged repeated imaging into a continuum, showing no discontinuity between successive breaths.
  • Tumor motion primarily occurred in the superior-inferior direction, with variability ranging from 14.4 mm to 0.1 mm depending on tumor location.
  • Tumor volume exhibited significant expansion (up to 65%) and contraction (up to 74%) during inhalation and exhalation phases, potentially enlarging the ITV by up to 8%.

Conclusions:

  • 4DCT can be extended to model variable breathing motion by synthesizing additional phases from multiple time-resolved images.
  • Incorporating improved knowledge of patient breathing variability allows for a more precise definition of treatment volumes and margins in radiation therapy.