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Recent Submissions

  • Mathematical Models of Quorum Sensing 

    Ueda, Hana (2016)
    Mathematical models of biological phenomena are constructed in order to further the understanding of the known and unknown interactions that result in the behaviors of dynamical systems. We present mathematical models ...

    Rourke, Oliver (2016)
    The cerebral cortex has remarkable computational abilities; it is able to solve prob- lems which remain beyond the most advanced man-made systems. The complexity arises due to the structure of the neural network which ...
  • Conic Economics 

    Raissi, Maziar (2016)
    Modern general equilibria under uncertainty are modeled based on the recognition that all risks cannot be eliminated, perfect hedging is not possible, and some risk exposures must be tolerated. Therefore, we need to define ...
  • Phase transitions in gene networks evolved under different selection rules 

    Pushkar, Alexandra (2016)
    Mathematical models of gene regulation are a powerful tool for understanding the complex features of genetic control. While various modeling efforts have been successful at explaining gene expression dynamics, much less ...
  • Multiscale Modeling and Simulation of Stepped Crystal Surfaces 

    Schneider, Joshua Peter (2016)
    A primary goal of this dissertation is to understand the links between mathematical models that describe crystal surfaces at three fundamental length scales: The scale of individual atoms, the scale of collections of atoms ...

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