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Coupled reaction-diffusion transport into a core-shell geometry.

Clarence C King1, S P Beckman1

  • 1School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164, USA.

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Summary
This summary is machine-generated.

This study models glucose and oxygen transport in core-shell systems, finding high glucose saturation reduces system viability radius by 13.8%. This research aids in understanding nutrient diffusion in biological and engineered structures.

Keywords:
CoupledDiabetesModelingPancreas

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Area of Science:

  • Biomedical Engineering
  • Chemical Engineering
  • Mathematical Modeling

Background:

  • Understanding nutrient transport (glucose, oxygen) is crucial for core-shell structures like spheroids or microcapsules.
  • Coupled reaction-diffusion dynamics govern nutrient availability and consumption within these geometries.
  • Metabolic interactions significantly influence cellular viability and system performance.

Purpose of the Study:

  • To model the coupled reaction-diffusion transport of glucose and oxygen in a core-shell geometry.
  • To investigate the impact of metabolic modulation on nutrient consumption.
  • To explore the relationship between system parameters and the maximum viable radius.

Main Methods:

  • Dimensionless parameterization of reaction-diffusion equations.
  • Incorporation of a metabolic modulation function coupling oxygen and glucose consumption.
  • Application of a Bayesian-Ridge model for parameter space exploration and data generation.
  • Analysis of non-linear correlations between nutrient concentrations.

Main Results:

  • The study presents the non-linear correlation between oxygen and glucose concentrations.
  • System parameters were explored, revealing their effects on transport dynamics.
  • A maximum decrease of 13.8% in the viable system radius was observed under high glucose saturation conditions.

Conclusions:

  • The developed model provides a framework for analyzing coupled nutrient transport in core-shell systems.
  • High glucose saturation can significantly limit the size of viable core-shell systems.
  • The Bayesian-Ridge model facilitates efficient exploration of the parameter space for such systems.