Mathematics
http://hdl.handle.net/10139/773
2019-01-22T15:36:28ZStatistical Analysis of Stability of Repacked Pharmaceutical Products
http://hdl.handle.net/10211.3/207594
Statistical Analysis of Stability of Repacked Pharmaceutical Products
Lee, Seungju
Packaging/repackaging is essential to ensure pharmaceutical productâ€™s stability (i.e. efficacy and safety). Before processing to package/repackage products into container/closures, there must be evidence to verify its stability. The most common verification methods are real-time study and statistical analysis. Real-time study can be very accurate, but it is also timeconsuming, which is inadequate for industry use. On the other hand, statistical analysis is appropriate for industry use since it can take short-term data and obtain the results quickly. In particular, we apply regression analysis on pharmaceutical product container/closure data along its decision-making framework to determine a container height 95% confidence interval and estimate the shelf life. Using a freeware program R, we are able to conduct the analysis more quickly and efficiently.
2018-12-01T00:00:00ZMatrix Triplet Factorization of Polynomial Type
http://hdl.handle.net/10211.3/207593
Matrix Triplet Factorization of Polynomial Type
Toledo, Ivan
2018-12-01T00:00:00ZGraphwise Relatively Prime Densities
http://hdl.handle.net/10211.3/207185
Graphwise Relatively Prime Densities
Chen, Vickie V.
Recent progress has been made toward understanding the density that k integers are G-wise relatively prime as a limiting form of a uniform distribution motivate this work. Fix a positive integer k and let G be a simple graph with k vertices that are arbitrary integers. We say that these integers are G-wise relatively prime if for any pair of vertices joined by an edge, the corresponding integers are relatively prime. Observe that if G is a complete graph, then this reduces to the notion of integers being pairwise relatively prime. From this
foundation, we can compute the density that k integers are G-wise relatively prime. The main objective of this thesis is to extend the notion of G-wise relative primality to rings of algebraic integers and to rings of polynomials over a finite field.
2018-11-01T00:00:00ZExploring the Effects of Wolbachia-infected Mosquitoes on the Spread of the Zika Virus
http://hdl.handle.net/10211.3/203376
Exploring the Effects of Wolbachia-infected Mosquitoes on the Spread of the Zika Virus
Ferguson, Vincent
Exploring the Effects of Wolbachia-infected Mosquitoes on the Spread of the Zika Virus
by Vincent Ferguson
Recent efforts to stop the spread of Zika, a vector-borne disease, through pesticides and insecticides have not been successful. Research has shown that Zika can be spread via the Aedes aegypti mosquito and human sexual contact. We examine how the use of Wolbachia as a form of control can reduce the transmission rate between infectious mosquitoes and susceptible humans. Through analysis of our mathematical model, we find the reproductive number of Zika before and after including Wolbachia into our calculations. With this model, we are able to run simulations to show how fast Zika can spread in a population. Using local sensitivity analysis, we study how changes in different parameter values affect the reproductive number.
2018-05-01T00:00:00Z