Mathematics & Statistics (School of): Recent submissions

Now showing items 1-5 of 354

    • Theoretical models of charged particle acceleration motivated by solar flares 

      Borissov, Alexei (University of St Andrews, 2019-06-25) - Thesis
      In this thesis we examine non-thermal particle behaviour in the presence of modelled electromagnetic fields motivated by various aspects of solar flares. We first investigate particle dynamics in magnetic reconnection ...

    • Orderings on words and permutations 

      McDevitt, Matthew (University of St Andrews, 2019-12-03) - Thesis
      Substructure orderings are ubiquitous throughout combinatorics and all of mathematics. In this thesis we consider various orderings on words, as well as the consecutive involvement ordering on permutations. Throughout ...

    • Methods in spatially explicit capture-recapture 

      Stevenson, Ben C. (University of St Andrews, 2016-06-24) - Thesis
      Capture-recapture (CR) methods are a ubiquitous means of estimating animal abundance from wildlife surveys. They rely on the detection and subsequent redetection of individuals over a number of sampling occasions. It is ...

    • The statistical development of integrated multi-state stopover models 

      Worthington, Hannah (University of St Andrews, 2016-06-24) - Thesis
      This thesis focusses on the analysis of ecological capture-recapture data and the estimation of population parameters of interest. Many of the common models applied to such data, for example the Cormack-Jolly-Seber model, ...

    • Mathematical modelling of tumour-immune competition tumour growth : discrete and continuum approaches 

      Macfarlane, Fiona Ruth (University of St Andrews, 2019-12-03) - Thesis
      The ability of the human immune system to detect and remove cancer cells is exploited in the development of immunotherapy techniques. However, further understanding of these mechanisms is required and can be achieved through ...