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Related Concept Videos

Weak Base Solutions03:21

Weak Base Solutions

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Some compounds produce hydroxide ions when dissolved by chemically reacting with water molecules. In all cases, these compounds react only partially and so are classified as weak bases. These types of compounds are also abundant in nature and important commodities in various technologies. For example, global production of the weak base ammonia is typically well over 100 metric tons annually, being widely used as an agricultural fertilizer, a raw material for chemical synthesis of other...
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Elastin is Responsible for Tissue Elasticity01:12

Elastin is Responsible for Tissue Elasticity

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Elastic fiber contains the protein elastin along with lesser amounts of other proteins and glycoproteins. The main property of elastin is that it will return to its original shape after being stretched or compressed. Elastic fibers are prominent in elastic tissues found in skin and the elastic ligaments of the vertebral column.
Ligaments and tendons are made of dense regular connective tissue, but in ligaments not all fibers are parallel. Dense regular elastic tissue contains elastin fibers and...
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Weak Acid Solutions04:02

Weak Acid Solutions

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Few compounds act as strong acids. A far greater number of compounds behave as weak acids and only partially react with water, leaving a large majority of dissolved molecules in their original form and generating a relatively small amount of hydronium ions. Weak acids are commonly encountered in nature, being the substances partly responsible for the tangy taste of citrus fruits, the stinging sensation of insect bites, and the unpleasant smells associated with body odor. A familiar example of a...
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Inertia Tensor01:24

Inertia Tensor

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The concept of the inertia tensor is employed to depict the mass distribution and rotational inertia of a solid or rigid object. This tensor is expressed through a three-by-three matrix. Each component within this matrix corresponds to varying moments of inertia about specific axes.
The diagonal components of the inertia tensor matrix represent the moments of inertia concerning the principal axes of the object. These primary axes are defined as the axes where the object experiences the least...
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Titration of a Weak Acid with a Weak Base01:08

Titration of a Weak Acid with a Weak Base

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Weak acids and bases do not undergo dissociation completely, and titrations between these two are rarely studied. When such studies are performed, say, for the titration of a weak acid with a weak base, the titration curve plots the change in pH as a function of the volume of base added. Take the titration of acetic acid with ammonia, for instance. During the titration, these two species form ammonium acetate and water, but the pH change is slow and gradual.
As a result, there is no simple...
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Titration Calculations: Weak Acid - Strong Base03:55

Titration Calculations: Weak Acid - Strong Base

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Calculating pH for Titration Solutions: Weak Acid/Strong Base
For the titration of 25.00 mL of 0.100 M CH3CO2H with 0.100 M NaOH, the reaction can be represented as:
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Related Experiment Video

Updated: Feb 8, 2026

Tracking the Mammary Architectural Features and Detecting Breast Cancer with Magnetic Resonance Diffusion Tensor Imaging
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3D elastic tensor imaging in weakly transversely isotropic soft tissues.

M Correia1, T Deffieux, S Chatelin

  • 1Institut Langevin, ESPCI Paris, PSL Research University, CNRS UMR7587, INSERM U979, Paris 6 University and Paris 7 University, 17, Rue Moreau, 75012 Paris, France.

Physics in Medicine and Biology
|June 29, 2018
PubMed
Summary

3D elastic tensor imaging (3D ETI) uses ultrafast ultrasound to map tissue stiffness and anisotropy in weakly anisotropic soft tissues. This novel technique offers accurate, rapid volumetric quantitative analysis for improved medical imaging.

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Area of Science:

  • Biomedical Engineering
  • Medical Imaging
  • Ultrasound Technology

Background:

  • Accurate characterization of tissue mechanical properties is crucial for disease diagnosis.
  • Existing ultrasound elastography methods often lack volumetric capabilities or struggle with anisotropic tissues.

Purpose of the Study:

  • To introduce and validate 3D elastic tensor imaging (3D ETI), a novel ultrasound-based technique for quantitative volumetric mapping of tissue elastic properties.
  • To assess the capability of 3D ETI in characterizing stiffness and anisotropy in weakly anisotropic media.

Main Methods:

  • Utilized 4D ultrafast shear wave elastography (SWE) at high volume rates (>8000 Hz).
  • Employed volumetric shear wave velocity estimation via the eikonal equation.
  • Applied a generalized 3D elastic tensor-based approach for analysis.

Main Results:

  • Numerical simulations demonstrated accurate assessment of stiffness and anisotropy in homogeneous isotropic and transverse isotropic media.
  • Experimental validation in vitro showed good agreement between 3D ETI and conventional 2D SWE.
  • 3D ETI successfully quantified elastic properties in weakly transversely isotropic media (anisotropy coefficient < 0.34).

Conclusions:

  • 3D ETI provides accurate, quantitative volumetric mapping of elastic properties in weakly anisotropic soft tissues.
  • The technique achieves rapid acquisition (<20 ms for the entire volume).
  • 3D ETI holds significant potential for advancing diagnostic capabilities in medical ultrasound.