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Full-Text Articles in Physical Sciences and Mathematics
Analysis Of Mathematical Models Of The Human Lung, Cooper Racheal
Analysis Of Mathematical Models Of The Human Lung, Cooper Racheal
Theses and Dissertations
The processes of lung ventilation and perfusion, diffusion, and gas transport make up the system of breathing and tissue oxygenation. Here, we present several mathematical formulations of the essential processes that contribute to breathing. These models aid in our understanding and analysis of this complex system and can be used to form treatments for patients on ventilators. With the right analysis and treatment options, patients can be helped and money can be saved. We conclude with the formulation of a mathematical model for the exchange of gasses in the body based on basic reaction kinetics.
A Systems Biology Approach For Understanding Inflammation In The Gastrointestinal Tract Of A Crohn’S Patient, Gigi Meyer
A Systems Biology Approach For Understanding Inflammation In The Gastrointestinal Tract Of A Crohn’S Patient, Gigi Meyer
Theses and Dissertations
A system of ordinary differential equations is developed to model the effect of fatty acids on chronic intestinal inflammation that is typical of a Crohn’s patient. Several murine studies have shown an anti-inflammatory response when specific polyunsaturated fatty acids are included regularly in the diet. It is believed that the fatty acids serve as a specific ligand that activates the Peroxisome Proliferator Activated Receptor (PPAR) which is located on multiple cell types that are active in the inflammatory response. The binding of the PPAR results in a suppression of the inflammatory pathway. Results of the model indicate a muted inflammatory …