MA/MS Theses
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Comparative Analysis Of Various Continuous-time Deterministic Models Of Tumor-immune Interactions
Cancer is historically a leading cause of death in the United States. In 2013,cancer was the second leading cause of death with 584,881 deaths \cite{CDC}.Having solely been responsible for 22.5\% of all deaths in 2013 ... -
Solving The Optimization Control Problem For Lunar Soft Landing Using Minimization Technique
(Mathematics, 2013-10-23)Minimizing fuel consumption in lunar missions has been a well studied and documented optimization problem. In this paper two cases of the lunar Lander are studied. The first case is the one dimensional problem where the ... -
Nonlinear Dynamics And Stochasticity Of Core Genetic Regulation
(Mathematics, 2012-07-25)"Bacillus subtilis" is one of the very well-studied organisms in biology. Recent results show that an alternative competence regulation circuit for this bacterium, differing only in the order of the composite negative ... -
Predictive Model For Bigheaded Carps In Mississippi River
(Mathematics, 2012-04-11)Bigheaded carps refer to two species of fish called Silver carp and Bigheaded carp which have invaded the Upper Mississippi River System and are causing nuisance to the native fish like catfish, paddlefish and gizzard Shad ... -
A Mathematical Model For Swine Flu 2009 With Vaccination
(Mathematics, 2011-10-11)H1N1 influenza is one of the deadliest diseases in human's history. Swine Flu 2009 is the same virus and it was named in 2009. Vaccination is of the most common ways to control a disease. We offer a new vaccination model ... -
A Snapshot Of Advanced High School Students' Understanding Of Continuity
(Mathematics, 2011-07-14)We report on a study of sixteen high school calculus and seven precalculus students' concept image and concept definition of continuity after one-trimester of instruction at a large suburban high school in the southwestern ... -
An Investigation Of The Conceptual Understanding Of Continuity And Derivatives In Calculus Of Emerging Scholars Versus Non-emerging Scholars Program Students
(Mathematics, 2011-07-14)The Emerging Scholars Program (ESP) has been adapted at colleges and universities across the nation in efforts to increase student access to Science, Technology, Engineering and Mathematics (STEM) disciplines. This study ... -
Cuspidal Modules Of The Lie Superalgebras Osp(1|2n)
(Mathematics, 2010-11-01)The classification of all bounded weight modules for the classical Lie superalgebras is an open question. Only recently, in fact, has the question been closed for the Lie algebras (see Mathieu). We give a differential ... -
Multiple Linear Regression Model Of Visceral Leishmaniasis In Bihar, India
(Mathematics, 2009-09-16)Visceral Leishmaniasis (VL) is one of the world's worst parasitic killers, second only to Malaria, claiming nearly 500,000 lives each year. The disease attacks the spleen, liver, and bone marrow, and if left untreated is ... -
High Order Weighted Compact Boundary Condition
(Mathematics, 2008-09-17)In multi-dimension flows, we expect to have problems at the boundaries when a shock hits or reflects at the boundary wall the remedy to this would be to develop weighted boundary conditions similar to the Weighted Compact ... -
The Impact Of Vaccination And Multiple Types Of HPV On Cervical Cancer
(Mathematics, 2008-09-17)Understanding the relationship between multiple strains of human papillomavirus and cervical cancer may play a key role in vaccination strategies for the virus. In this article we formulate a model with two strains of ... -
On The Image Of The Totalling Functor
(Mathematics, 2007-08-23)Let A denote a DG algebra and k a field. The totalling functor, from the category of chain complexes over the graded A-modules to the catagory of DG modules over A, can be extended to one between their derived categories. ...