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Filtering by: Subject Differentiable dynamical systems Remove constraint Subject: Differentiable dynamical systems Advisor Scheel, Arnd Remove constraint Advisor: Scheel, Arnd Degree Field Mathematics Remove constraint Degree Field: Mathematics

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  • Localized Structures in a Diffusive Run-and-Tumble Model of Myxococcus xanthus

    Creator:
    Flynn, Patrick Thomas
    Abstract:
    The bacteria Myxococcus xanthus clusters into fruiting bodies in the absence of food. The movement of M. xanthus has three aspects: self-propulsion (run), change of direction due to collision (tumble), and Brownian fluctuations in movement. We propose a minimalist PDE model for the concentrations of left and right moving agents...
    Resource Type:
    Honors College Thesis
    Full Text:
    stationary solutions to this equation, utilizing geometry and dynamical systems theory to show existence of