Honors Theses Open Access
 
Filters: Department: "Mathematics" School Or College: "College of Science" Collection: "ir_htoa" Year Graduated: "2015"
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1 Ellingson, DrewBitangent lines to planar quartic curves in algebraic and tropical geometryBitangents are lines which are tangent to a curve at two points. The bitangents of a classical quartic are well understood, and a result originally due to Cayley tells us that there are always precisely 28 bitangents to a generic quartic plane curve. When looking at Tropical Geometry, the situation ...Tropical geometry; Curves, Quartic; Curves, Algebraic; Bitangents2015-04
2 Beams, AlexanderImplications of antibiotic use for co-infections when a fitness trade-off for resistance is presentHow much does indiscriminate antibiotic use promote the spread of antibiotic-resistant infections in a population? Assuming a fitness trade-off for resistance exists, it is possible for an antibiotic-vulnerable strain to outlast a resistant type within an untreated host carrying both. That means pru...Drug resistance in microorganisms -- Mathematical models Co-infections2015
3 Allam, JeremyLow-energy satellite transfer from Earth to MarsA new type of satellite transfer that uses half the amount of fuel as conventional transfers has been discovered. This transfer, called a low-energy transfer, proved to work in 1991 when a Japanese satellite successfully went in orbit around the moon using this technique. Since then, more research h...Space vehicles -- Dynamics -- Mathematics Space flight to Mars -- Mathematics2015-04
4 Tuft, MarieQuantitative analysis of virus trafficking in a biological cellVirus replication is a complex process that is important to understand. If a virus is to successfully infect a host cell it must travel from the cell wall to the nucleus by hijacking that cell's existing transport system of microtubules. This motion occurs as two iterated steps: passive diffusion th...Viruses -- Reproduction -- Mathematical models; Virus trafficking2015-05
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