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Association: Name: The Mathematical Association of America MathFest URL: http://www.maa.org
Citation: URL: http://citation.allacademic.com/meta/p521905_index.html Direct Link: HTML Code:

Nelson, Mark. "How does the size of your stomach change during a meal?" Paper presented at the annual meeting of the The Mathematical Association of America MathFest, Lexington Convention Center, Lexington, KY, Aug 04, 2011 <Not Available>. 2013-05-21 <http://citation.allacademic.com/meta/p521905_index.html>

Nelson, M. I. , 2011-08-04 "How does the size of your stomach change during a meal?" Paper presented at the annual meeting of the The Mathematical Association of America MathFest, Lexington Convention Center, Lexington, KY <Not Available>. 2013-05-21 from http://citation.allacademic.com/meta/p521905_index.html

Publication Type: Conference Paper/Unpublished Manuscript Review Method: Peer Reviewed Abstract: Consider the humble ham and cheese sandwich. Chutney is optional. Nice. (Discard the ham if you are of the vegetarian persuasion). What happens within the human stomach after this sandwich has been digested? Many things happen. Following ingestion of the food, the pH within the stomach changes. Initially the pH increases to accommodate the activities of the salivary amylaseand gastric lipase. After digestion takes place, the pH of the stomach falls back to its original value due to continuous secretion of the acidic gastric juices. The time variation of the pH is known as the pH profile of the stomach. The pH within the stomach is a very strong indicator of its condition. Small changes in the pH profile can affect the the disintegration of coating materials and capsules, the interaction of the drug with gastric secretions, drug absorption and dosage performance. Therefore there is a need to develop models, both experimental and mathematical, to describe the change in pH of a `normal' stomach following digestion of a meal. The first step in modelling the pH profile is develop a model for how the `size' of the stomach change during the course of a meal. This model is developed by considering the processes that cause the stomach to increase or decrease its size. This leads to an ordinary differential equation in which the RHS consists of three Heaviside functions. To plot the solution we need appropriate values for experimental parameters. At this point, the plot thickens...

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