Browsing University of Galway Theses (PhD Theses) by Subject "Mathematics"
Now showing items 21-39 of 39
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Investigation of T cell receptor and immunoglobulin repertoire through next generation sequencing data
(2017-08-08)The diversity of the immunological repertoire has long been a subject of research focus, providing important insights into the adaptive immune system. Rapid developments in next generation sequencing technologies ... -
Machine learning and high-performance computing: Infrastructure and algorithms for the genome-scale study of genetic and epigenetic regulatory mechanisms with applications in neuroscience
(2014-06-30)The advent of next-generation sequencing (NGS) has fundamentally changed modern genomics re-search. These sequencers generate terabytes of data and necessitate the use, not only of high-performance compute (HPC) clusters ... -
Mathematical Analysis of Some Models for Drug Delivery
(2012-08-27)This thesis is concerned with the mathematical modelling of controlled drug release from a number of delivery systems. There are two major strands to the work: (i) modelling release from affinity-based systems, and, (ii) ... -
Mathematical models for the kinetics of some carbohydrate enzymes
(NUI Galway, 2019-10-17)In this thesis, some mathematical models for the mechanism of action of carbohydrate enzymes are developed and analysed. Chapter 1 provides a general introduction to enzymes and their applications. In Chapter 2, ... -
Mathematical models of centromere associating proteins
(2014-07-11)This thesis describes the development and analysis of new mathematical models of Centromere Protein A (CENP-A) incorporation in mammalian centromeres, intermolecular autophosphorylation and Aurora B kinase activity in ... -
Maths was fine until they brought the alphabet into it: An examination of Irish 14-year-olds' knowledge of initial algebra
(NUI Galway, 2021-02-26)The aim of this research is to establish what second-year students (age approximately 14 years) in Ireland know about initial algebra. To measure this knowledge, a standardised criterion referenced screener has been ... -
Meseanchymal stem cell mediated sodium iodide symporter gene therapy of breast cancer
(2014-05-07)Introduction: The Sodium Iodide Symporter (NIS) facilitates iodide accumulation in the thyroid and radioiodide imaging and treatment of thyroid disease. Studies have suggested that elevated levels of NIS expression in ... -
A modified depth function for outlier detection in multivariate data with applications
(NUI Galway, 2020-09-24)Data Science is the new and exciting interdisciplinary response that has emerged as a consequence of the staggering amounts of data generated in many new forms from digital images to audio to text. It is an interdisciplinary ... -
Noise in nonsmooth dynamical systems
(NUI Galway, 2020-01-24)This article-based thesis comprises a collection of four articles, each of which constitutes a chapter, written and formatted in pre-print manuscript form. The general aim underlying these articles is to understand how ... -
Non-cut points in Hausdorff continua
(NUI Galway, 2019-02-07)The worlds of metric and non-metric continuous curves show disparity with regards to the existence and non-existence of special types of non cut points. The thesis focuses on shore points, non block points and strong non ... -
On the collection of topologies, generalised metrics and continuity spaces
(2013-09-27)This article-based thesis comprises a collection of four papers, each of which constitutes a chapter written in manuscript form. The elemental theme behind the first three chapters is the study of several collections of ... -
On the table of marks of a direct product of finite groups
(2016-02-10)The table of marks was first introduced by William Burnside in his book "Theory of groups of finite order" in 1955. The table of marks counts the number of fixed points one subgroup has in the action of the cosets of ... -
Parabolic and equal-rank subroot systems with applications to symmetric spaces and flag manifolds
(2016-06-20)Using the algebraic structure of subroot systems in the root system of a complex simple Lie algebra g, we prove a generalization for compact homogeneous spaces with positive Euler characteristic of the 'strange formula' ... -
Preconditioning techniques for singularly perturbed differential equations
(2015-09-23)This thesis considers computer methods for solving singularly perturbed differential equations. Standard algorithms are very inefficient when applied to these problems, although the exact reasons for this have not ... -
Sparse grid methods for singularly perturbed problems
(2016-05-09)This thesis is concerned with the design, analysis and implementation of sparse grid finite element methods applied to singularly perturbed partial differential equations, in two and three dimensions. Typically, sparse ... -
Sparse surface graphs
(NUI Galway, 2019-12-20)This thesis is concerned with building certain classes of sparse and tight surface graphs via suitable sets of inductive moves from specified sets of irreducible surface graphs. In particular, we derive topological ... -
Theoretical and numerical analysis of rigid-body impacts with friction
(2015-11-19)This thesis gives a flavour of the area of rigid body impacts with friction, an area which has far reaching applications in engineering, sports science and every day life. The focus of this work will be on the two main ... -
Thinning instabilities in biological and electroactive membranes
(NUI Galway, 2018-10-31)This thesis addresses several problems in the mathematical modelling of biological and electroactive membranes. We begin with a review of the necessary scientific background of biological and electroactive membranes. ... -
Zhu reduction theory for vertex operator algebras on Riemann surfaces
(NUI Galway, 2019-08-21)In this thesis we first develop a recursive relation for $n$-point functions for Vertex Operator Super Algebras (VOSAs) on a genus two Riemann surface constructed by sewing two tori. This relation is used to develop formal ...