Dissertation
Non-Linear Reaction-Diffusion of Oxygen in Biological Systems
Washington State University
Doctor of Philosophy (PhD), Washington State University
2023
DOI:
https://doi.org/10.7273/000004995
Abstract
Oxygen plays a vital role in all biological systems, from cells to organs to organisms. The presence of oxygen will determine not only whether or not a particular system survives, but also how effective it is in performing it’s function. Here, the non-linear reaction-diffusion of oxygen is modeled using mathematical and computational methods for a variety of biological systems. The general model assumes Fickian diffusion, Michaelis-Menten consumption, spherical symmetry, and a steady-state solution. The first system consists of a core-shell geometry and the systems and reactions become increasingly complex as the model is developed further. This model is solved and applied to various real world problems. The viability of an encapsulated artificial pancreatic islet is determined based on various experimental and ambient parameters. The reaction-diffusion of oxygen from the exterior to the nucleus of a cell is simulated and from this, the survival rates of various irradiated cancer cells are calculated. These survival rates are compared with experimentally measured results and found to have a reasonable agreement. The goal of this research is to provide guidance for future experimental research being done in these areas.
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Details
- Title
- Non-Linear Reaction-Diffusion of Oxygen in Biological Systems
- Creators
- Clarence King
- Contributors
- Scott P Beckman (Advisor)Soumik Banerjee (Committee Member)Yuehe Lin (Committee Member)Joao Seco (Committee Member)
- Awarding Institution
- Washington State University
- Academic Unit
- Mechanical and Materials Engineering, School of
- Theses and Dissertations
- Doctor of Philosophy (PhD), Washington State University
- Publisher
- Washington State University
- Number of pages
- 121
- Identifiers
- 99901019635601842
- Language
- English
- Resource Type
- Dissertation