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Related Concept Videos

Gauss's Law01:07

Gauss's Law

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If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
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Correlation means that there is a relationship between two or more variables (such as ice cream consumption and crime), but this relationship does not necessarily imply cause and effect. When two variables are correlated, it simply means that as one variable changes, so does the other. We can measure correlation by calculating a statistic known as a correlation coefficient. A correlation coefficient is a number from -1 to +1 that indicates the strength and direction of the relationship between...
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Gauss's Law: Problem-Solving01:10

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Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain symmetries (spherical, cylindrical, or planar) in the charge distribution, the electric field can be deduced based on the knowledge of the electric flux. In these systems, we can find a Gaussian surface S over which the electric field has a constant magnitude. Furthermore, suppose the electric field is parallel (or antiparallel) to the area vector...
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Gauss's Law in Dielectrics01:17

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Consider a polar dielectric placed in an external field. In such a dielectric, opposite charges on adjacent dipoles neutralize each other, such that the net charge within the dielectric is zero. When a polar dielectric is inserted in between the capacitor plates, an electric field is generated due to the presence of net charges near the edge of the dielectric and the metal plates interface. Since the external electrical field merely aligns the dipoles, the dielectric as a whole is neutral. An...
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Correlation and Causation01:27

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Statistical tests can calculate whether there is a relationship, or correlation, between independent and dependent variables. An indirect relationship of the variables signifies a correlation, while a direct relationship shows causation. If it is determined that no connection exists between the variables, then the correlation is a coincidence.
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Solution Composition During Acid/Base Titrations01:17

Solution Composition During Acid/Base Titrations

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The titration of a weak acid with a strong base results in the formation of water and the conjugate base of the acid. For instance, titrating acetic acid with sodium hydroxide leads to the formation of water and sodium acetate. A solution of acetic acid and sodium acetate constitutes a buffer whose relative concentration at different stages of the titration is indicated by the α values, which represent percentages of the weak acid and its conjugate base.
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Related Experiment Video

Updated: Jan 26, 2026

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Three-dimensional static optical coherence elastography based on inverse compositional Gauss-Newton digital volume

Fanchao Meng1, Cheng Chen1, Shun Hui1

  • 1Department of Mechanical Engineering, Tianjin Key Laboratory of Modern Engineering Mechanics, Tianjin University, Tianjin, China.

Journal of Biophotonics
|April 23, 2019
PubMed
Summary

A new 3D optical coherence elastography (OCE) method using digital volume correlation (DVC) accurately measures tissue biomechanics. This technique reveals anisotropic properties in soft tissues, advancing physiological and pathological studies.

Keywords:
3D full-field displacement3D full-field straindigital volume correlationoptical coherence elastographyoptical coherence tomography

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Area of Science:

  • Biomedical Engineering
  • Optical Imaging
  • Materials Science

Background:

  • Characterizing three-dimensional (3D) mechanical properties of biological tissue is crucial for understanding physiological and pathological processes.
  • Biological tissues are often heterogeneous and anisotropic, requiring advanced methods for accurate biomechanical assessment.
  • Existing techniques may lack the resolution or 3D capability to fully capture complex tissue behaviors.

Purpose of the Study:

  • To develop and validate a novel 3D optical coherence elastography (OCE) method.
  • To measure 3D displacement and strain tensors in soft tissues with high accuracy.
  • To investigate the anisotropic biomechanical properties of biological tissues.

Main Methods:

  • Development of a digital volume correlation (DVC)-based 3D OCE technique.
  • Implementation of a DVC algorithm featuring zero-mean normalized cross-correlation, inverse compositional Gauss-Newton, and local ternary quadratic polynomial fitting.
  • Proposal and verification of a 3D optical coherence tomography (OCT) scanning protocol.
  • Evaluation of measurement errors using rigid body motion experiments.

Main Results:

  • The DVC-based 3D OCE method demonstrated measurement errors below 2.0 μm for displacement and 0.30% for strain.
  • Accurate 3D displacement and strain measurements were obtained for a phantom and chicken breast tissue under compression.
  • Phantom results showed excellent agreement with theoretical analysis and tensile testing.
  • Chicken breast tissue exhibited anisotropic strain patterns, confirming heterogeneous biomechanical properties.

Conclusions:

  • The developed DVC-based 3D OCE method is an effective tool for 3D biomechanical property studies of soft tissues.
  • This technique enhances the capabilities of 3D OCE for investigating complex tissue mechanics.
  • The findings contribute to a better understanding of soft tissue behavior in physiological and pathological contexts.