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Calculation of Volume of Solids by Integration01:27

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Volume calculation often begins with simple geometric solids. For example, the volume of a rectangular box is obtained by multiplying the area of its base by its height. This straightforward approach relies on the fact that the cross-sectional area of the box remains constant throughout its length. Many real-world objects, however, do not have uniform cross-sections, and their volumes cannot be determined using elementary geometric formulas.To address this limitation, the Slicing Method...
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For solids whose cross-sectional areas vary in a predictable way, volume can be determined by integrating these areas along an axis perpendicular to the slices. This approach is particularly useful for polyhedral solids, where classical geometric formulas may not be immediately applicable. A tetrahedron provides a clear example of how cross-sectional integration can be applied to a three-dimensional object with continuously changing geometry.Consider a tetrahedron with height h and a base that...
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Problem Solving: Volume01:13

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The volume of a fuel tank mounted on the wing of a jet aircraft can be modeled using the concept of solids of revolution. In this case, the tank is formed by rotating a two-dimensional region, defined by a mathematical function, about the x-axis. The region extends along the axis from zero to two meters, and the resulting three-dimensional shape is symmetric about the axis of rotation. Because the boundary curve lies directly against the axis, the disk method is an appropriate technique for...
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Clearance is a key pharmacokinetic parameter that quantifies the volume of body fluid from which a drug is entirely removed within a specific time frame. It is crucial in assessing how a drug is eliminated from the body and has critical clinical applications.
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Gastric volumetry: A simplified calculation method based on CT-scan.

Charlene Fohrer1, Aurelien Lambert2, Marion Demouron3

  • 1CHU Amiens-Picardie, Service de Chirurgie Digestive et Oncologique Site Sud, 1, rond-point du Professeur Christian-Cabrol, 80054 Amiens cedex, France; Université de Picardie Jules-Verne, Unité de recherche Clinique SSPC (Simplifications des Soins des Patients Complexes) UR UPJV 7518, Amiens, France.

Journal of Visceral Surgery
|October 15, 2025
PubMed
Summary

A quick CT scan method accurately measures gastric volume in adhesive small bowel obstruction patients. This aids decisions on nasogastric tube placement, reducing invasive procedures.

Keywords:
Adhesive small bowel obstructionGastric volumeNasogastric tubeNon operative management

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Area of Science:

  • Radiology
  • Gastroenterology
  • Surgical Critical Care

Background:

  • Computed tomography (CT) enables gastric volume calculation.
  • Initial gastric volume in adhesive small bowel obstruction (ASBO) can inform nasogastric tube (NGT) placement.
  • A rapid CT method for gastric volume assessment is needed.

Purpose of the Study:

  • To evaluate a fast CT technique for gastric volume measurement in ASBO patients.
  • To compare this quick method with traditional manual gastric contouring.
  • To assess the utility of CT-derived gastric volume in guiding NGT decisions.

Main Methods:

  • Gastric volumes were measured in 139 ASBO patients using contrast-enhanced CT scans.
  • Two methods were employed: manual gastric contouring and a novel two-diameter antral measurement.
  • Measurements were performed by two independent operators to assess correlation and reproducibility.

Main Results:

  • The two-diameter method showed strong correlation (r=0.88) with manual contouring.
  • The quick CT method significantly reduced measurement time (45 seconds vs. 365 seconds).
  • Intra-observer correlation was good (0.78), indicating reliability.

Conclusions:

  • A rapid CT measurement of gastric volume is feasible and accurate for ASBO patients.
  • This technique can assist in judicious nasogastric tube use.
  • It may help avoid unnecessary invasive procedures in ASBO management.