Physical Sciences and Mathematics Commons^™

A Numerical Study Of Construction Of Honey Bee Comb, Pamela Guerrero, Pamela C. Guerrero

Murray State Theses and Dissertations

We use finite difference methods in the treatment of an existing system of partial differential equations that captures the dynamics of parallel honeycomb construction in a bee hive. We conduct an uncertainty analysis by calculating the partial rank correlation coefficient for the parameters to find which are most important to the outcomes of the model. We then use an eFAST method to determine both the individual and total sensitivity index for the parameters. Afterwards we examine our numerical model under varying initial conditions and parameter values, and compare ratios found from local data with the golden mean by fitting images …

Habitat Modeling And Vegetation Mapping Of Mammoth Cave National Park Using Lidar Data And Multispectral Imagery, Hongli Yang

Murray State Theses and Dissertations

An up-to-date and detailed vegetation map provides critical information for habitat management. In addition, a habitat model is necessary for Park’s Fire Management, for classification of fuel types, and for delineation of fire management units. Several attempts to map the vegetation at the Mammoth Cave National Park were conducted in 1934, 1975, 1997 and 2011. This essential goal of this study was to produce a new vegetation habitat model and update the vegetation map for the Park. Landsat-8 Operational Land Imager (OLI) imagery, LiDAR and bedrock dataset were used for habitat model configuration and vegetation mapping at Mammoth Cave National …

Kinetic Analysis And Mechanochemical Syntheses Of Palladium Complexes, Jonathon Zachary

Murray State Theses and Dissertations

Mechanochemical synthesis is a rapidly developing, more environmentally friendly alternative to traditional solution based syntheses. Mechanochemical methods often result in higher overall yields, minimize undesirable side reactions, and present cleaner more concise methods for compound preparation. This work will address the syntheses of three dialkyl 2,2′-bipyridyl-4,4′-dicarboxylate complexes of palladium(II) iodide and the kinetics of these reactions. Then, this work will address the improved synthesis and purification of 1,3-dimethyl-1H-benzimidazolium iodide and the synthesis of diiodo-bis(1,3-dimethyl benzimidazol-2-ylidene) palladium(II).

The successful synthesis of dialkyl 2,2′-bipyridyl-4,4′-dicarboxylate complexes of palladium(II) iodide was carried out under solvent free ball milling conditions and the kinetic analysis was …

A Quartz Crystal Microbalance Study Of Thiol:Ene Poly(Ionic Liquid) Polymerization And Gas Absorption, Yueming Wu

Murray State Theses and Dissertations

ABSTRACT

The polymerization process of, and gas absorption by, imidazolium-containing thiol:ene poly (ionic liquid)s (PILs), prepared from bisallylimidazolium bis(trifluoromethyl sulfonyl)imide [NTf₂^-] and pentaerythritoltetrakis(3 mercaptopropionate), was studied. The thiol:ene PILs examined were recently reported by groups at Murray State University. The advantage of thiol:ene PILs over other reported PILs is that thiol:ene polymers are made rapidly by UV exposure and exhibit high mechanical and thermal stability due to high cross-linking. The properties of interest for the thiol:ene PILs were studied using a quartz crystal microbalance (QCM). QCM techniques are based on the piezoelectric effect, where certain crystals (e.g., …

Neural Network Predictions Of A Simulation-Based Statistical And Graph Theoretic Study Of The Board Game Risk, Jacob Munson

Murray State Theses and Dissertations

We translate the RISK board into a graph which undergoes updates as the game advances. The dissection of the game into a network model in discrete time is a novel approach to examining RISK. A review of the existing statistical findings of skirmishes in RISK is provided. The graphical changes are accompanied by an examination of the statistical properties of RISK. The game is modeled as a discrete time dynamic network graph, with the various features of the game modeled as properties of the network at a given time. As the network is computationally intensive to implement, results are produced …

Potential For Asymmetric Competition Among Co-Inhabiting Invasive Silver Carp And Native Shad Species In The Lower Midwest, Dalton D. Lebeda

Murray State Theses and Dissertations

In the United States, Silver Carp are an invasive voracious planktivorous fish that are capable of competing with many native fish species. Until the last decade, very little was known about how Silver Carp would interact with native fish species or how quickly their populations would expand. In the early 2000’s, established Silver Carp populations were reported in Kentucky Lake although they were reported in the Tennessee River much earlier (1987). Kentucky Lake is the first large flood storage reservoir that has been invaded by a reproducing population of Silver Carp in the United States. To date, control measures for …