Graduation Semester and Year
Summer 2024
Language
English
Document Type
Dissertation
Degree Name
Doctor of Philosophy in Mathematics
Department
Mathematics
First Advisor
Jianzhong Su
Second Advisor
Hristo V. Kojouharov
Third Advisor
Ren-Cang Li
Fourth Advisor
Pedro D. Maia
Abstract
Models of glucose metabolism in the brain often focus on chemical exchanges and reactions that occur as part of the tricarboxylic acid cycle (TCA cycle). Experiments involving nuclear magnetic resonance (NMR) spectroscopy to detect and measure carbon-labeled isotopomers of metabolites such as glutamate in vivo inform kinetic, mechanistic models used to study metabolic pathways. In the present work, a new model with two compartments, astrocytic and neuronal, is developed using known biochemical processes and fit to experimental data coming from fully labeled glucose infusions. A gradient descent method is introduced and employed to obtain optimal flux parameter values involved in the TCA cycle.
Keywords
Metabolic parametrization, Brain metabolism, Glucose metabolism model
Disciplines
Ordinary Differential Equations and Applied Dynamics
License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
Lubbe, Alice, "A NEW MECHANISTIC MODEL OF BRAIN METABOLISM WITH OPTIMAL PARAMETRIZATION" (2024). Mathematics Dissertations. 165.
https://mavmatrix.uta.edu/math_dissertations/165
Comments
Acknowledgements: