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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.
Burglary Crime Analysis Using Logistic Regression, Daniel Antolos, Dahai Liu, Andrei Ludu, Dennis Vincenzi
Burglary Crime Analysis Using Logistic Regression, Daniel Antolos, Dahai Liu, Andrei Ludu, Dennis Vincenzi
Andrei Ludu
This study used a logistic regression model to investigate the relationship between several predicting factors and burglary occurrence probability with regard to the epicenter. These factors include day of the week, time of the day, repeated victimization, connectors and barriers. Data was collected from a local police report on 2010 burglary incidents. Results showed the model has various degrees of significance in terms of predicting the occurrence within difference ranges from the epicenter. Follow-up refined multiple comparisons of different sizes were observed to further discover the pattern of prediction strength of these factors. Results are discussed and further research directions …
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 …
Pressure Poisson Method For The Incompressible Navier-Stokes Equations Using Galerkin Finite Elements, John Cornthwaite
Pressure Poisson Method For The Incompressible Navier-Stokes Equations Using Galerkin Finite Elements, John Cornthwaite
Electronic Theses and Dissertations
In this thesis we examine the Navier-Stokes equations (NSE) with the continuity equation replaced by a pressure Poisson equation (PPE). Appropriate boundary conditions are developed for the PPE, which allow for a fully decoupled numerical scheme to recover the pressure. The variational form of the NSE with PPE is derived and used in the Galerkin Finite Element discretization. The Galerkin finite element method is then used to solve the NSE with PPE. Moderate accuracy is shown.