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Related Concept Videos

Excess Pressure Inside a Drop and a Bubble01:13

Excess Pressure Inside a Drop and a Bubble

The shape of a small drop of liquid can be considered spherical, neglecting the effect of gravity. This drop can further be considered as two equal hemispherical drops put together due to surface tension. The forces acting on the spherical drop are due to the pressure of the liquid inside the drop, the pressure due to air outside the drop, and the force due to the surface tension acting on the two hemispherical drops.
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Compartment Models: Two-Compartment Model01:20

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The two-compartment model divides the body into central and peripheral compartments to account for varying blood perfusion rates among organs and tissues, affecting drug distribution. The central compartment includes blood and highly perfused tissues with rapid drug distribution, while the peripheral compartment contains tissues with slower drug distribution. After a single IV bolus dose, the drug concentration is high in plasma and low in tissues. The drug distribution between compartments...
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Related Experiment Video

Updated: Jun 16, 2026

Multi-timescale Microscopy Methods for the Characterization of Fluorescently-labeled Microbubbles for Ultrasound-Triggered Drug Release
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Concentration distribution around a growing gas bubble in tissue.

S A Mohammadein1, K G Mohamed

  • 1Department of Mathematics, Faculty of Science, Tanta University, Tanta, Egypt. selimali2009@yahoo.com

Mathematical Biosciences
|January 21, 2010
PubMed
Summary

This study models nitrogen gas bubble growth in divers surfacing too quickly. It analyzes bubble concentration distribution during variable and constant decompression, crucial for understanding decompression sickness risks.

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Area of Science:

  • Physiology
  • Diving Medicine
  • Biophysics

Background:

  • Rapid ascent during diving can lead to gas bubble formation in tissues.
  • Understanding bubble dynamics is critical for preventing decompression sickness.
  • Existing models are modified to analyze nitrogen bubble growth under varying decompression conditions.

Purpose of the Study:

  • To analyze the concentration distribution around growing nitrogen gas bubbles in divers.
  • To investigate bubble growth dynamics during variable and constant decompression.
  • To present an analytical solution for gas bubble growth rate in tissues.

Main Methods:

  • Modification of the Sirinivasan et al. (1999) model.
  • Analytical solution of a mathematical model for bubble growth.
  • Introduction of concentration distribution analysis around the bubble.

Main Results:

  • The study provides an analytical solution for gas bubble growth rate post-decompression.
  • Concentration distribution around the growing bubble is determined.
  • Factors influencing bubble growth, including ascent rate and tissue diffusivity, are identified.

Conclusions:

  • The model offers insights into nitrogen bubble behavior in divers surfacing rapidly.
  • Understanding these dynamics can inform safer decompression strategies.
  • The research highlights the impact of ascent rate, diffusivity, and other factors on bubble formation.