Coupled reaction-diffusion transport into a core-shell geometry

Clarence C King; S P Beckman

doi:10.1016/j.jtbi.2022.111138

Coupled reaction-diffusion transport into a core-shell geometry

J Theor Biol. 2022 Aug 7:546:111138. doi: 10.1016/j.jtbi.2022.111138. Epub 2022 Apr 30.

Authors

Clarence C King¹, S P Beckman²

Affiliations

¹ School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164, USA.
² School of Mechanical and Materials Engineering, Washington State University, Pullman, WA 99164, USA. Electronic address: scott.beckman@wsu.edu.

PMID: 35504309
DOI: 10.1016/j.jtbi.2022.111138

Abstract

The coupled reaction-diffusion transport of glucose and oxygen into a core-shell geometry is modeled using dimensionless parameterization. The consumption of oxygen and glucose are coupled by a metabolic modulation function. The results are fit to a Bayesian-Ridge model that can be easily applied to generate large data sets spanning the parameter space. The non-linear correlation between the oxygen and glucose concentrations are presented and the effect of system parameters is explored. The maximum radius of a viable system is shown to decrease by up to 13.8% with high glucose saturation.

Keywords: Coupled; Diabetes; Modeling; Pancreas.

MeSH terms

Bayes Theorem
Diffusion
Glucose / metabolism
Oxygen Consumption*
Oxygen* / metabolism

Substances

Glucose
Oxygen