Applied Mathematics Theses and Dissertations

Theses and Dissertations for the Applied Mathematics department.

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Description:: Motile bacteria swim in fluid environments propelled by one or more flagella, spiral filaments that are attached to the cell body and a rotary motor. …
Year:: 2017
Contributor:: Kilikian, Virginia Eirini (creator); maxey, MARTIN (Advisor); Sandstede, Bjorn (Reader); Matzavinos, Anastasios (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Chemotaxis--Mathematical models; Random walks (Mathematics); Biology--Mathematical models; Bacteria; Monte Carlo method
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: A number of problems of interest in applied mathematics and biology involve the quantification of uncertainty in computational and real-world models. A recent approach to …
Year:: 2020
Contributor:: Larson, Karen Ruth (creator); Matzavinos, Anastasios (Advisor); Maxey, Martin (Reader); Olson, Sarah (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Biology--Mathematical models; Parameter estimation; Applied mathematics; Uncertainty Quantification
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The spread of infectious disease is strongly influenced by human interaction. In order to understand this connection and develop effective strategies against future outbreaks, it …
Year:: 2021
Contributor:: Mallory, Kristina (creator); Sandstede, Bjorn (Advisor); Maxey, Martin (Reader); Harrison, Matthew (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Epidemiology; Biology--Mathematical models; Applied mathematics; Infection; Influenza; Communicable diseases; COVID-19; Coronavirus infections; Contact tracing (Epidemiology); Social distancing (Public health); Influenza--Prevention; SARS-CoV-2; Emerging infectious diseases
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: The zebrafish (Danio rerio), a widely-studied model organism, is a small fish with distinctive black and yellow stripes on its body and fins. Numerous experimental …
Year:: 2017
Contributor:: Volkening, Alexandria (creator); Sandstede, Bjorn (Advisor); Bernoff, Andrew (Reader); Maxey, Martin (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Biology--Mathematical models; mathematical modelling; Pattern formation (Biology); Zebra danio; Self-organizing systems; dynamical systems; Pattern formation (Physical sciences)
Collection:: Applied Mathematics; Theses and Dissertations

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Description:: Systems of oscillatory and excitable media frequently express regular spiral and traveling wave patterns, but bifurcations to complex structures are also common. Spiral wave patterns …
Year:: 2019
Contributor:: Dodson, Stephanie (creator); Sandstede, Bjorn (Advisor); Mallet-Paret, John (Reader); Beck, Margaret (Reader); Brown University. Department of Applied Mathematics (sponsor)
Genre:: theses
Subject:: Biology--Mathematical models; Applied mathematics; Stability of spiral waves
Collection:: Applied Mathematics; Theses and Dissertations

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