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Updated: Feb 23, 2026

Models and Methods to Evaluate Transport of Drug Delivery Systems Across Cellular Barriers
Published on: October 17, 2013
Optimal transport model for gas migration in the intestinal wall
Arturo Tozzi1, Raffaele Minella2
1Center for Nonlinear Science, Department of Physics, University of North Texas, 1155 Union Circle, #311427 Denton, Denton, TX, 76203-5017, USA.
This study models gas movement in pneumatosis intestinalis (PI), revealing early diffusion followed by tissue trapping and microbubble formation. This mathematical approach aids in understanding PI progression and severity.
Area of Science:
- Gastroenterology
- Mathematical Modeling
- Biophysics
Background:
- Pneumatosis intestinalis (PI) involves abnormal gas in the intestinal wall.
- Quantifying gas movement in PI is crucial for diagnosis and treatment.
- Optimal transport models offer a potential framework for PI gas quantification.
Purpose of the Study:
- To develop a mathematical model for gas transport in PI.
- To simulate gas diffusion, dispersion, and microbubble entrapment in the gut wall.
- To investigate the influence of biological and structural factors on gas retention.
Main Methods:
- Developed a diffusion-advection mathematical approach.
- Integrated circular gas diffusion with microbubble dispersion and entrapment.
- Incorporated tissue permeability, mucosal integrity, and bacterial factors.
Main Results:
- Modeled a radial gas concentration gradient decreasing from the lumen.
- Simulations showed a transition from diffusion to localized gas retention.
- Found significant correlations between microbubble distribution, pressure gradients, and permeability.
Conclusions:
- Gas migration in PI transitions from diffusion to trapping, forming microbubbles.
- Mathematical modeling provides insights into PI mechanisms and severity.
- This approach can refine PI diagnostic assessments and severity evaluations.
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