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Dissertations / Theses on the topic 'Mathematical Modelling'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Bergman, Ärlebäck Jonas. "Mathematical modelling in upper secondary mathematics education in Sweden." Doctoral thesis, Linköpings universitet, Tillämpad matematik, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-54318.

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The aim of this thesis is to investigate and enhance our understanding of the notions of mathematical models and modelling at the Swedish upper secondary school level. Focus is on how mathematical models and modelling are viewed by the different actors in the school system, and what characterises the collaborative process of a didactician and a group of teachers engaged in designing and developing, implementing and evaluating teaching modules (so called modelling modules) exposing students to mathematical modelling in line with the present mathematics curriculum. The thesis consists of five pa

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2

Cinquin, Olivier. "Mathematical modelling of development." Thesis, University College London (University of London), 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.424702.

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3

Chalmers, Alexander David. "Mathematical Modelling of Atherosclerosis." Thesis, The University of Sydney, 2015. http://hdl.handle.net/2123/14986.

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In atherosclerosis, the arterial lining undergoes a specific sequence of inflammatory responses to an injury to the cells that line the blood vessel and to low density lipoprotein (LDL) particles from the blood stream that penetrate through this injury into the arterial wall. We model the events that take place inside the blood vessel wall that occur immediately after such an injury with a system of partial differential equations that involve the LDL particles, two proinflammatory cytokines, monocyte-derived macrophages and their lipid-filled counterparts, foam cells. The model includes the ch

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4

Nurtay, Anel. "Mathematical modelling of pathogen specialisation." Doctoral thesis, Universitat Autònoma de Barcelona, 2019. http://hdl.handle.net/10803/667178.

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L’aparició de nous virus causants de malalties està estretament lligada a l’especialització de subpoblacions virals cap a nous tipus d’amfitrions. La modelització matemàtica proporciona un marc quantitatiu que pot ajudar amb la predicció de processos a llarg termini com pot ser l’especialització. A causa de la naturalesa complexa que presenten les interaccions intra i interespecífiques en els processos evolutius, cal aplicar eines matemàtiques complexes, com ara l’anàlisi de bifurcacions, al estudiar dinàmiques de població. Aquesta tesi desenvolupa una jerarquia de models de població per poder

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5

Tacon, Geoffrey Reginald Russell. "Mathematical modelling of liver kinetics /." [St. Lucia, Qld.], 2005. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19399.pdf.

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6

Du, Peng 1985. "Mathematical modelling of gastric electrophysiology." Thesis, University of Auckland, 2011. http://hdl.handle.net/2292/10234.

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This thesis investigates the electrophysiology of the stomach, using a joint experimental and mathematical modelling approach. Normal gastrointestinal (GI) motility is coordinated by multiple cooperating mechanisms, both intrinsic and extrinsic to the GI tract. A fundamental component of the GI motility is an omnipresent electrical activity termed slow waves, which are initiated and propagated by the interstitial cells of Cajal (ICCs) and smooth muscle cells (SMCs). The role of ICC and/or SMC pathophysiology in GI motility disorders is an area of on-going research. This thesis begins wit

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7

Memon, Sohail Ahmed. "Mathematical modelling of complex dynamics." Thesis, University of Central Lancashire, 2017. http://clok.uclan.ac.uk/20497/.

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Soft materials have a wide range of applications, which include the production of masks for nano–lithography, the separation of membranes with nano–pores, and the preparation of nano–size structures for electronic devices. Self–organization in soft matter is a primary mechanism for the formation of structure. Block copolymers are long chain molecules composed of several different polymer blocks covalently bonded into a single macromolecule, which belong to an important class of soft materials which can self–assemble into different nano–structures due to their natural ability to microphase sepa

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8

Abdullah, Zia. "Mathematical modelling of casting processes." Thesis, University of Ottawa (Canada), 1988. http://hdl.handle.net/10393/21048.

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9

MacDonald, Grant. "Mathematical modelling of semiconductor photocatalysis." Thesis, University of Strathclyde, 2016. http://oleg.lib.strath.ac.uk:80/R/?func=dbin-jump-full&object_id=27029.

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Semiconductor photocatalysis can be extremely effective in the complete mineralisation of hundreds of organic materials and has been utilised in various different commercial systems, for example, self-cleaning glass, purification of water, the purification of air, sterilisation/disinfection and detecting oxygen in food packaging. The aim of this thesis is to further the understanding of semiconductor photocatalysis using mathematical models. One of the main issues considered is the applicability of assuming that reaction intermediates remain in a steady-state throughout the majority of any rea

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10

Kura, K. "Mathematical modelling of dominance hierarchies." Thesis, City, University of London, 2016. http://openaccess.city.ac.uk/15838/.

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In this research we analyse the formation of dominance hierarchies from different viewpoints and various models of dominance hierarchy formation have been proposed, one important class being winner--loser models and another being Swiss tournaments. We start by understanding the structure of hierarchies emerging under the influence of winner and loser effects and two situations are considered: (i) when each individual has the same, fixed (unchanged) aggression threshold, meaning that all of them use the same rule when deciding whether to fight or retreat, and (ii) when individuals select an agg

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11

Caunce, James Frederick Physical Environmental &amp Mathematical Sciences Australian Defence Force Academy UNSW. "Mathematical modelling of wool scouring." Awarded by:University of New South Wales - Australian Defence Force Academy. School of Physical, Environmental and Mathematical Sciences, 2007. http://handle.unsw.edu.au/1959.4/38650.

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Wool scouring is the first stage of wool processing, where unwanted contaminants are removed from freshly shorn wool. In most scouring machines wool is fed as a continuous mat through a series of water-filled scour and rinse bowls which are periodically drained. The purpose of this project is to mathematically model the scour bowl with the aim of improving efficiency. In this thesis four novel models of contaminant concentration within a scour bowl are developed. These are used to investigate the relationships between the operating parameters of the machine and the concentration of contaminati

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12

Zhong, Guisong 1961. "Mathematical modelling of Osprey process." Thesis, McGill University, 2006. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=99554.

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Osprey process is a new kind of metal forming technology. In this process, a stream of liquid metal is atomized into a spray of molten droplets by a high velocity inert gas jet. The atomized droplets are accelerated towards a substrate of suitable shape and size. At the same time, they are rapidly cooled by the surrounding relatively cold gas and thereby partly solidified. After a certain flight distance, the droplets impinge on the cold substrate, and solidification continuous on the substrate. Near-net shaped products can be manufactured by this process.<br>In this study, a simple mathematic

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13

Duursma, Gail Rene. "Mathematical modelling of fluidization phenomena." Thesis, University of Oxford, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305995.

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14

Qi, Qi. "Mathematical modelling of telomere dynamics." Thesis, University of Nottingham, 2011. http://eprints.nottingham.ac.uk/12258/.

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Telomeres are repetitive elements of DNA which are located at the ends of chromosomes. During cell division, telomeres on daughter chromomeres shorten until the telomere length falls below a critical level. This shortening restricts the number of cell divisions. In this thesis, we use mathematical modelling to study dynamics of telomere length in a cell in order to understand normal ageing (telomere shortening),Werner’s syndrome (a disease of accelerated ageing) and the immortality of cells caused by telomerase (telomere constant length maintenance). In the mathematical models we compared four

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15

Li, Beibei. "Mathematical modelling of aortic dissection." Thesis, University of Glasgow, 2013. http://theses.gla.ac.uk/3968/.

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An aortic dissection is a tear of the intima of the aortic wall that spreads into the media or between the media and adventitia. In addition to the original lumen for blood flow, the dissection creates a new flow channel, the `false' lumen that may cause the artery to narrow or even close over entirely. Aortic dissection is a medical emergency and can quickly lead to death. The mechanical property of the aorta has been described by the strain energy function given by Holzapfel et al. [2000]. The aorta is idealized as an elastic axisymmetric thickwalled tube with 3 layers. We focus on the disse

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16

Parsons, Mark. "Mathematical modelling of evolving networks." Thesis, University of Reading, 2013. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.590673.

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Network theory is a long standing, rapidly changing and highly motivated field. However, historically its results have been centred on static networks, leaving the area of evolving networks relatively less explored. In this thesis we draw from those existing results and extend them to the case of evolving networks to develop new analytical tools and representations. We do this through the introduction of an importance, or activity, metric for evolving networks, and the creation of a general framework for their models, allowing us to easily define, represent and classify them. We identify obser

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17

Dyson, Rosemary. "Mathematical Modelling of Curtain Coating." Thesis, University of Oxford, 2007. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.489434.

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18

Harris, John Richard. "Mathematical modelling of mechanical alloying." Thesis, University of Nottingham, 2002. http://eprints.nottingham.ac.uk/10018/.

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This thesis applies Smoluchowski's coagulation-fragmentation equations to model the mechanical alloying process. Mechanisms operating during the milling process are reviewed. In the first instance, models are developed that predict the size distribution of a single milled powder while ignoring mixing phenomena. A methodology is developed that allows experimentally measured sieve-fractions to be converted into volumetric cluster size distributions. Model parameters describing the rate of aggregation and fragmentation are obtained by fitting the model's predicted average particle size data over

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19

Cocks, David. "Mathematical modelling of dune formation." Thesis, University of Oxford, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.442818.

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This study is concerned with the mathematical modelling of the formation and subsequent evolution of sand dunes, both beneath rivers (fluvial) and in deserts (Aeolian). Dunes are observed in the environment in many different shapes and sizes; we begin by discussing qualitatively how and why the different forms exist. The most important aspect of a successful model is the relationship between the bed shape and the shear stress that the flow exerts on the bed. We first discuss a simple model for this stress applied to fluvial dunes, which is able to predict dune-like structures, but does not pre

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20

Ahmad, Mohammad Najeeb. "Mathematical modelling of fermentation systems." Thesis, Queen's University Belfast, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.296797.

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21

Woodroffe, P. J. "Mathematical modelling of cell signalling." Thesis, University of Nottingham, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.416886.

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22

Clark, John Malcolm. "Mathematical modelling of G.F.M. forging." Thesis, University of Sheffield, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.266125.

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23

Daae, Elisabeth Bull. "Mathematical modelling of biochemical pathways." Thesis, University College London (University of London), 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.327023.

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24

Gorrod, Martin John. "Mathematical modelling of Be stars." Thesis, University of Southampton, 1992. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.385099.

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25

Rata, Scott. "Mathematical modelling of mitotic controls." Thesis, University of Oxford, 2018. https://ora.ox.ac.uk/objects/uuid:7bef862c-2025-4494-a2bb-4fe93584d92a.

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The mitotic cell cycle is fundamental to eukaryotic life. In mitosis, replicated chromosomes are segregated to form two new nuclei. This is essential to ensure the maintenance of chromosome number between parent and daughter cells. In higher eukaryotes, numerous cytological changes occur to facilitate the separation of the genetic material: the nuclear envelope breaks down, the mitotic spindle assembles, and the cell rounds-up. There is a well-conserved control network that regulates these processes to bring about the entry into mitosis, the separation of the genetic material, and the reversal

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26

Prieto, Curiel Rafael. "Mathematical modelling of social systems." Thesis, University College London (University of London), 2018. http://discovery.ucl.ac.uk/10057708/.

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Mobility and migration patterns, the concentration of crime and opinion dynamics observed on the fear of crime are all examples of social systems in which complex patterns emerge that subsequently feed back into the overall system. This thesis describes new methods established to analyse such patterns which appear in social systems. The main application area is in the field of crime science, but the methods developed here have wider applications within other social systems, some of which are also explored in the thesis, such as migration or road accidents. Based on new assessments of data, by

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27

Grandjean, Thomas R. B. "Mathematical modelling of transporter kinetics." Thesis, University of Warwick, 2013. http://wrap.warwick.ac.uk/61779/.

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Membrane transport proteins have recently been discovered to be ubiquitously expressed in the human body and of paramount importance in cellular uptake. Since all pharmaceutical compounds must pass through numerous cell membranes to travel and be absorbed by their target cells in order to achieve their desired therapeutic effects, transporters have attracted a lot of attention as a research field. As an emerging focus area, the precise mechanism of action of many of these transporters remains to be fully elucidated. In order to gain a detailed insight into these processes it is proposed to car

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28

Shabala, Alexander. "Mathematical modelling of oncolytic virotherapy." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:cca2c9bc-cbd4-4651-9b59-8a4dea7245d1.

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This thesis is concerned with mathematical modelling of oncolytic virotherapy: the use of genetically modified viruses to selectively spread, replicate and destroy cancerous cells in solid tumours. Traditional spatially-dependent modelling approaches have previously assumed that virus spread is due to viral diffusion in solid tumours, and also neglect the time delay introduced by the lytic cycle for viral replication within host cells. A deterministic, age-structured reaction-diffusion model is developed for the spatially-dependent interactions of uninfected cells, infected cells and virus par

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29

Fay, Gemma Louise. "Mathematical modelling of turbidity currents." Thesis, University of Oxford, 2012. http://ora.ox.ac.uk/objects/uuid:62bb9382-1c50-47f3-8f59-66924cc31760.

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Turbidity currents are one of the primary means of transport of sediment in the ocean. They are fast-moving, destructive fluid flows which are able to entrain sediment from the seabed and accelerate downslope in a process known as `ignition'. In this thesis, we investigate one particular model for turbidity currents; the `Parker model' of Parker, Pantin and Fukushima (1986), which models the current as a continuous sediment stream and consists of four equations for the depth, velocity, sediment concentration and turbulent kinetic energy of the flow. We propose two reduced forms of the model; a

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30

Krupp, Armin Ulrich. "Mathematical modelling of membrane filtration." Thesis, University of Oxford, 2017. http://ora.ox.ac.uk/objects/uuid:ae6dd9e4-a862-4476-a8d9-35156848297f.

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In this thesis, we consider four different problems in membrane filtration, using a different mathematical approach in each instance. We account for the fluid-driven deformation of a filtercake using nonlinear poroelasticity in Chapter 2. By considering feeds with very high and very low particle concentrations, we introduce a quasi-static caking model that provides a suitable approximation to the full model for the physically realistic concentration regimes. We illustrate the agreements and differences between our model and the existing conventional cake-filtration law. In Chapter 3, we introd

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31

Evans, Matthew. "Mathematical modelling of calcium signalling." Thesis, University of East Anglia, 2017. https://ueaeprints.uea.ac.uk/63285/.

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Calcium (Ca2+) plays an integral role in a vast array of signalling pathways within both animals and plants. The study of these pathways has proven to be a fruitful avenue of research for experimental biologists and mathematical modellers. While the signalling processes have been well studied in animals, the same cannot be said of plants. This work takes a mathematical look at two important Ca2+ signalling pathways in plants, with a focus on how these signals are generated. Nuclear Ca2+ oscillations in legumes occur at a key step in the development of symbioses. The oscillations occur both ins

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32

Evans, Thomas W. "Mathematical modelling of phage dynamics." Thesis, University of Liverpool, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.511077.

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33

El-Khairi, Muna. "Mathematical modelling of tuberculosis infection." Thesis, Imperial College London, 2013. http://hdl.handle.net/10044/1/10747.

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Tuberculosis is one of the leading causes of death by infectious disease in the world today. However, the majority of individuals infected with Mycobacterium tuberculosis are able to contain bacterial growth and establish a latent infection. The aim of this thesis is to develop mathematical models to study the progression of disease in individuals infected with Mycobacterium tuberculosis. This work focuses on understanding bacterial and host defence mechanisms that govern the outcome of infection, and on identifying factors that affect the outcome of anti-tuberculosis chemotherapy. A detailed

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34

Macdougall, Lindsey C. "Mathematical modelling of retinal metabolism." Thesis, University of Nottingham, 2015. http://eprints.nottingham.ac.uk/30615/.

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Age-related macular degeneration and diabetic retinopathy, in which the cells at the back of the eye degrade due to age and diabetes respectively, are prevalent causes of vision loss in adults. We formulate mathematical models of retinal metabolic regulation to investigate defects that may be responsible for pathology. Continuum PDE models are developed to test whether rod photoreceptors, light detecting cells in the eye, may regulate their energy demand by adapting their length under light and dark conditions. These models assume photoreceptor length depends on the availability of nutrients,

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35

Domínguez, Hüttinger Elisa. "Mathematical modelling of epithelium homeostasis." Thesis, Imperial College London, 2014. http://hdl.handle.net/10044/1/47969.

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The body and organs of all animals are covered by epithelial tissues, such as the epidermis and the airway epithelium. Epithelial tissues play a key role in protecting the body from environmental aggressors. Failure to maintain a competent epithelium can lead to the onset of many diseases, including Atopic dermatitis (AD) and infection by Streptococcus pneumoniae. Treatment of AD is currently restricted to the relief of symptoms, mainly because the underlying mechanisms remain elusive. Antibiotic resistance threatens the effectiveness of the prevalent treatments for infection. Devising new and

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36

Brümmer, Anneke. "Mathematical modelling of DNA replication." Doctoral thesis, Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät I, 2010. http://dx.doi.org/10.18452/16212.

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Bevor sich eine Zelle teilt muss sie ihr gesamtes genetisches Material verdoppeln. Eukaryotische Genome werden von einer Vielzahl von Replikationsstartpunkten, den sogenannten Origins, aus repliziert, die über das gesamte Genome verteilt sind. In dieser Arbeit wird der zugrundeliegende molekulare Mechanismus quantitativ analysiert, der für die nahezu simultane Initiierung der Origins exakt ein Mal pro Zellzyklus verantwortlich ist. Basierend auf umfangreichen experimentellen Studien, wird zunächst ein molekulares regulatorisches Netzwerk rekonstruiert, welches das Binden von Molekülen an die O

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37

Jones, Tiffany. "Mathematical modelling of cancer growth." Thesis, Curtin University, 2014. http://hdl.handle.net/20.500.11937/2546.

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In this thesis we use optimal parameter selection techniques to optimise parameters for mathematical models describing both non-cancerous and cancerous growths. We use computational methods to implement the optimal parameter selection models and discuss our results. We develop a novel model to describe melanoma growth using a set of ordinary differential equations. We incorporate into our model the mutated Braf protein which to our knowledge has not been included in a modelling sense until now.

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38

Dargaville, Steven. "Mathematical modelling of LiFePO4 cathodes." Thesis, Queensland University of Technology, 2013. https://eprints.qut.edu.au/60800/4/Steven_Dargaville_Thesis.pdf.

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LiFePO4 is a commercially available battery material with good theoretical discharge capacity, excellent cycle life and increased safety compared with competing Li-ion chemistries. It has been the focus of considerable experimental and theoretical scrutiny in the past decade, resulting in LiFePO4 cathodes that perform well at high discharge rates. This scrutiny has raised several questions about the behaviour of LiFePO4 material during charge and discharge. In contrast to many other battery chemistries that intercalate homogeneously, LiFePO4 can phase-separate into highly and lowly lithiated p

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39

Olofsson, Thomas. "Mathematical modelling of jointed rock masses." Doctoral thesis, Luleå tekniska universitet, Byggkonstruktion och -produktion, 1985. http://urn.kb.se/resolve?urn=urn:nbn:se:ltu:diva-26756.

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In this thesis, a theoretical model of the mechanical behaviour of jointed rock masses is developed. An equivalent material approach is used to formulate the constitutive equations, where the structural components, intact rock and joints are assigned continuous material properties. The elastic and inelastic properties of the joints are modelled by an elasto-viscoplastic formulation. The model can be used to study general stress and strain paths for both two- and three-dimensional structures based on constitutive equations, i.e. stress-strain relations or in finite element codes. The rock mass

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40

Fatouros, Dimitrios Michael. "Mathematical modelling for international tax planning." Thesis, Imperial College London, 1998. http://hdl.handle.net/10044/1/7954.

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41

Reddyhoff, Dennis. "Mathematical modelling of acetaminophen induced hepatotoxicity." Thesis, Loughborough University, 2016. https://dspace.lboro.ac.uk/2134/23008.

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Acetaminophen, known as paracetamol in the UK and Tylenol in the United States, is a widespread and commonly used painkiller all over the world. Taken in large enough doses, however, it can cause fatal liver damage. In the U.S., 56000 people are admitted to hospital each year due to acetaminophen overdose and its related effects, at great cost to healthcare services. In this thesis we present a number of different models of acetaminophen metabolism and toxicity. Previously, models of acetaminophen toxicity have been complex and due to this complexity, do not lend themselves well to more advanc

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42

Perkins, Gregory Martin Parry Materials Science &amp Engineering Faculty of Science UNSW. "Mathematical modelling of underground coal gasification." Awarded by:University of New South Wales. Materials Science and Engineering, 2005. http://handle.unsw.edu.au/1959.4/25518.

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Mathematical models were developed to understand cavity growth mechanisms, heat and mass transfer in combination with chemical reaction, and the factors which affect gas production from an underground coal gasifier. A model for coal gasification in a one-dimensional spatial domain was developed and validated through comparison with experimental measurements of the pyrolysis of large coal particles and cylindrical coal blocks. The effects of changes in operating conditions and coal properties on cavity growth were quantified. It was found that the operating conditions which have the greatest im

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Depree, Nicholas Brian. "Mathematical modelling of an annealing furnace." Thesis, University of Auckland, 2010. http://hdl.handle.net/2292/5855.

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The metal coating line at New Zealand Steel relies on a large electric radiant furnace to heat steel strip before hot-dip galvanising in a continuous process. The temperature evolution of the strip inside the furnace is vital in ensuring the speci ed mechanical properties are achieved for a range of steel products. Ductile products require high temperatures su cient to cause recrystallisation of the steel microstructure, while stronger products must be heated without causing recrystallisation. Strip dimensions and desired properties are changed often and irregularly during operation, and

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44

Petrakis, Leonidas. "The mathematical modelling of tumour growth." Thesis, Brunel University, 2005. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427666.

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King, J. R. "Mathematical aspects of semiconductor process modelling." Thesis, University of Oxford, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.375274.

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46

Anderson, Jacob T. "Mathematical modelling of lake level fluctuations." Thesis, University of Oxford, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.302759.

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Terrill, E. L. "Mathematical modelling of some spinning processes." Thesis, University of Oxford, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.280001.

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48

Hewitt, Ian. "Mathematical modelling of geophysical melt drainage." Thesis, University of Oxford, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.509957.

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Fluid flows involving transport of a liquid phase in close proximity with its solid phase involve continuous transfer of mass and heat, which can influence the nature of the drainage that occurs. We consider mathematical models for two such situations; magma flow in the mantle and water flow beneath glaciers. In part I, we derive a model for porous flow within a partially molten column of mantle undergoing decompression melting. By ignoring composition effects, and by scaling the equations appropriately, approximate analytical solutions can be found for one-dimensional upwelling, which allow t

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49

Grills, Claire Melissa Emma. "Mathematical and statistical modelling of apoptosis." Thesis, Queen's University Belfast, 2010. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.517342.

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Sandbach, Steven D. "Mathematical and laboratory modelling of ventilation." Thesis, University of Manchester, 2009. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.506639.

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