Now showing items 36-55 of 151

    • The evolution of mimicry in parasites 

      Hurford, Amy Louise (2011-04-06)
      Parasites may express proteins that mimic host proteins such that the host immune system cannot discriminate between host and parasite. An immune response to host proteins results in autoimmunity, and therefore, mechanisms ...
    • Evolutionarily Stable Learning and Foraging Strategies 

      Cownden, Daniel (2012-02-01)
      This thesis examines a series of problems with the goal of better understanding the fundamental dilemma of whether to invest effort in obtaining information that may lead to better opportunities in the future versus ...
    • Evolvability and Pleiotropic Constraint 

      Rowe, Taylor
      Evolvability is a population's ability to change its underlying genetic makeup through natural selection, to evolve. Most measures of short-term evolvability relate genetic change to the abundance and geometry of standing ...
    • An example with interesting controllability and stabilisation properties 

      Hirschorn, Ron M.; Lewis, Andrew D. (2005)
      A simple three-state system with two inputs is considered. The system's controllability is determined using properties of vector-valued quadratic forms. The quadratic structure is then used as the basis for the design of ...
    • Exploring the Evolutionary Relationship Between Virulence and Drug Resistance 

      van den Hoogen, Josée
      One of the many possible negative outcomes of pathogen evolution is the emergence of a virulent drug resistant strain. A pathogen may exploit plasmid-mediated gene transfer to gain drug resistance and virulence genes in ...
    • Feedback Stabilisation of Locally Controllable Systems 

      Isaiah, Pantelis (2012-09-25)
      Controllability and stabilisability are two fundamental properties of control systems and it is intuitively appealing to conjecture that the former should imply the latter; especially so when the state of a control system ...
    • Filter Stability, Observability and Robustness for Partially Observed Stochastic Dynamical Systems 

      Mcdonald, Curtis
      Filter stability refers to the correction of an incorrectly initialized filter for a partially observed stochastic dynamical system with increasing measurements. In this thesis, we study the filter stability problem, develop ...
    • Forecasting and Non-Stationarity of Surgical Demand Time Series 

      Moore, Ian (2014-02-04)
      Surgical scheduling is complicated by naturally occurring, and human-induced variability in the demand for surgical services. We used time series methods to detect, model and forecast these behaviors in surgical demand ...
    • A Framework for the Meta-Analysis of Survey Data 

      Fox, Karla Michelle Phillips Cooper (2011-12-06)
      The research outlined in this thesis covers various different statistical issues relating to meta-analysis of survey data. These issues include the creation of an original comprehensive methodological framework for combining ...
    • Generalization of Ruderman's Problem to Imaginary Quadratic Fields 

      Rundle, Robert John (2012-04-13)
      In 1974, H. Ruderman posed the following question: If $(2^m-2^n)|(3^m-3^n)$, then does it follow that $(2^m-2^n)|(x^m-x^n)$ for every integer $x$? This problem is still open. However, in 2011, M. R. Murty and V. K. Murty ...
    • Geodesic reduction via frame bundle geometry 

      Bhand, Ajit (2007-07-25)
      Reduction theory for systems with symmetry deals with the problem of understanding dynamics on a manifold with an action of a Lie group. In geometric mechanics, this problem can be formulated in the Lagrangian, Hamiltonian ...
    • A Geometric Approach to Energy Shaping 

      Gharesifard, Bahman (2009-09-02)
      In this thesis is initiated a more systematic geometric exploration of energy shaping. Most of the previous results have been dealt wih particular cases and neither the existence nor the space of solutions has been discussed ...
    • Geometric Jacobian Linearization 

      Tyner, David (2007-12-21)
      For control systems that evolve on Euclidean spaces, Jacobian linearization is a common technique in many control applications, analysis, and controller design methodologies. However, the standard linearization method ...
    • Geometric local controllability: second-order conditions 

      Hirschorn, Ron M.; Lewis, Andrew D. (2002)
      In a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from ...
    • Geometric sliding mode control: The linear and linearised theory 

      Hirschorn, Ron M.; Lewis, Andrew D. (2002)
      The idea of sliding mode control for stabilisation is investigated to determine its geometric features. A geometric definition is provided for a sliding submanifold, and for various properties of a sliding submanifold. Sliding ...
    • Geometry of Dirac Operators 

      Beheshti Vadeqan, Babak (2016-07-05)
      Let $M$ be a compact, oriented, even dimensional Riemannian manifold and let $S$ be a Clifford bundle over $M$ with Dirac operator $D$. Then \[ \textsc{Atiyah Singer: } \quad \text{Ind } \mathsf{D}= \int_M ...
    • The geometry of the Gibbs-Appell equations and Gauss's Principle of Least Constraint 

      Lewis, Andrew D. (1995)
      We present a generalisation of the Gibbs-Appell equations which is valid for general Lagrangians. The general form of the Gibbs-Appell equations is shown to be valid in the case when constraints and external forces ...
    • The geometry of the maximum principle for affine connection control systems 

      Lewis, Andrew D. (2000)
      The maximum principle of Pontryagin is applied to systems where the drift vector field is the geodesic spray corresponding to an affine connection. The result is a second-order differential equation whose right-hand side ...
    • Global Fluctuations of Random Matrices and the Second-Order Cauchy Transform 

      Diaz Torres, Mario
      In this thesis we study the global fluctuations of random matrices (i.e., the covariance of two traces) from a second-order free probability perspective, putting a particular emphasis on block Gaussian matrices. Our main ...
    • Group structures in a class of control systems 

      Lewis, Andrew D. (1992)
      We investigate two classes of control systems, one of Brockett and one of Murray and Sastry. We are able to show that these two systems may be formulated in the language of principle fibre bundles. Controllability of ...