Multielement compartmental modeling is a powerful tool for depicting the global properties of gas transport in the microcirculation-tissue system. Since a compartmental model is the lumped format of the corresponding distributed model, the compartmental governing equations and the relevant lumped parameters of a compartmental model should be derived from the space-averaging of the corresponding distributed model. However, although several compartmental models for O₂ transport or for O₂-CO₂ coupled transport have appeared in the literature, none has been rigorously derived in this way. In addition, an O₂-CO₂ coupled transport process, rather than a single O₂ transport process, is essential for oxygen transport study. The systematic derivation presented in this thesis remedies the lack of a theoretical foundation of the multielement compartmental models for O₂-CO₂ coupled transport in a microcirculation-tissue system. Three computer models have been constructed in this way for either single O₂ transport or O₂-CO₂ coupled transport, and for steady state or time-varying behavior. These models can predict the distribution of O₂ partial pressure, CO₂ partial pressure, O₂-Hb binding saturation and pH values for both normal and hypoxic conditions. A comparison between these models and previous models appearing in the literature showed a significant difference both in value of individual lumped parameters and in the behavior of the resulting distributions of the compartmental gas partial pressures. The predictions of the derived models are supported by available experimental findings, and are more reasonable from a physiological point of view. Results also indicated that coupling O₂-CO₂ interaction into an oxygen transport model is important. The thesis includes suggestions of further experiments to validate the model, and suggestions for research applications.
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Title
Theoretical basis and computer realization of a compartmental model for O₂-CO₂ coupled transport in the microcirculation
Creators
Guo-Fan Ye
Contributors
Dov Jaron (Advisor) - Drexel University, Drexel University (1970-)
Thomas W. Moore (Advisor) - Drexel University, Drexel University (1970-)
Awarding Institution
Drexel University
Degree Awarded
Doctor of Philosophy (Ph.D.)
Publisher
Drexel University; Philadelphia, Pennsylvania
Number of pages
ix, 148 pages
Resource Type
Dissertation
Language
English
Academic Unit
Drexel University
Other Identifier
991021888971904721
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