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The United States Air Force is interested in the potential side effects--at the cellular level--from exposure to mission-essential chemicals. Presently, Air Force toxicology studies are conducted to help shed light in identifying potential hazards to workers. However, it takes a considerable amount of money, resources, and time to obtain and analyze experimental results from toxicology studies. The necessity for innovative methods that enable researchers to more effectively generate and analyze data is apparent. Mathematical modeling is a viable option to become a valuable tool for the researcher. Mathematical models can rapidly generate informative predictions on how a cell reacts to a certain toxicant exposure. Moreover, information is readily available when generated by mathematical models. This research involves the study of one non-biological reaction system and four biological, intracellular reaction systems.