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Weak Base Solutions03:21

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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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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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Convolution Properties II01:17

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The important convolution properties include width, area, differentiation, and integration properties.
The width property indicates that if the durations of input signals are T1 and T2, then the width of the output response equals the sum of both durations, irrespective of the shapes of the two functions. For instance, convolving two rectangular pulses with durations of 2 seconds and 1 second results in a function with a width of 3 seconds.
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Network Covalent Solids02:18

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Network covalent solids contain a three-dimensional network of covalently bonded atoms as found in the crystal structures of nonmetals like diamond, graphite, silicon, and some covalent compounds, such as silicon dioxide (sand) and silicon carbide (carborundum, the abrasive on sandpaper). Many minerals have networks of covalent bonds.
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Titration of a Weak Acid with a Weak Base01:08

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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.
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Titration Calculations: Weak Acid - Strong Base03:55

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Calculating pH for Titration Solutions: Weak Acid/Strong Base
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Weakly-supervised convolutional neural networks for multimodal image registration.

Yipeng Hu1, Marc Modat2, Eli Gibson3

  • 1Centre for Medical Image Computing, Department of Medical Physics and Biomedical Engineering, University College London, London, UK; Institute of Biomedical Engineering, Department of Engineering Science, University of Oxford, Oxford, UK.

Medical Image Analysis
|July 15, 2018
PubMed
Summary
This summary is machine-generated.

This study introduces a novel method for multimodal image registration, inferring voxel-level transformations from anatomical labels. This approach enables accurate, automated registration without ground truth data, improving medical imaging analysis.

Keywords:
Convolutional neural networkImage-guided interventionMedical image registrationProstate cancerWeakly-supervised learning

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Area of Science:

  • Medical Imaging
  • Computer Vision
  • Machine Learning

Background:

  • Supervised learning for multimodal image registration faces challenges due to the lack of ground-truth voxel-level spatial correspondence.
  • Anatomical labels offer a more reliable and practical alternative for obtaining correspondence information.

Purpose of the Study:

  • To develop a method for inferring voxel-level transformation from higher-level anatomical label correspondence.
  • To create an end-to-end convolutional neural network for predicting displacement fields to align labelled structures.

Main Methods:

  • An end-to-end convolutional neural network was designed to predict displacement fields for aligning multimodal images using anatomical labels during training.
  • The network utilizes unlabelled image pairs for inference, enabling automated and real-time 3D deformable image registration.
  • Network architecture variants were evaluated for registering T2-weighted MRI and 3D transrectal ultrasound images in prostate cancer patients.

Main Results:

  • The proposed method achieved a median target registration error of 3.6 mm on landmark centroids.
  • A median Dice similarity coefficient of 0.87 was obtained for prostate glands.
  • Cross-validation experiments on 108 image pairs from 76 patients demonstrated high-quality registration.

Conclusions:

  • The developed strategy effectively infers voxel-level transformations from anatomical labels, overcoming the ground-truth data limitation in supervised learning for image registration.
  • The real-time, automated registration algorithm is versatile, utilizing diverse anatomical labels and performing without initialisation or labels at inference.