Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 362 for “"Mathematical modelling"”.
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Mathematical modelling of droplet evaporation
This thesis concerns the theoretical modelling and analysis of sessile droplets of liquids as they evaporate in different modes of evaporation. The thesis focuses on diffusion limited evaporation in which the diffusion of vapour in the surrounding atmosphere governs the evaporation rate of the …
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Mathematical Modelling of Fungal Interactions
… unit of growth is measured in microns. The mathematical models described and constructed in this thesis naturally link these different growth scales and includes the interactions experienced by growing fungi, thus complementing experimental approaches.<br/><br/>A set of previously published …
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Mathematical modelling of autophagy pathway.
A system modelling autophagy is a new area of research. Current understanding of each step in this biochemical pathway is limited. The study of this mechanism is interesting in several aspects: autophagy plays an important role in physiological cellular processes, is a survival mechanism under …
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Mathematical modelling of dominance hierarchies
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 …
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Mathematical modelling of complex dynamics
… role in achieving a proper structure factor in modelling methods of block copolymers. The novel models have been developed by implementing CDS via more stable implicit methods, including backward Euler, Crank–Nicolson (CN) and Alternating Direction Implicit (ADI) methods. The CN scheme were …
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Mathematical Modelling of Animal Navigation
Animals navigate all over the world at many different scales. Among their navigation abilities is an intriguing skill which allows them to navigate in the absence of familiar landmarks or outward journey information. This skill is hypothesised to be an ability to use a map and compass. Animals are …
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Mathematical Modelling of Smectic Liquid Crystals
… liquid crystal molecules near interfaces using mathematical models and numerical integration. In particular,we predict the behaviour of the physical system for smectic liquid crystals. Smectic liquid crystals are considered in various geometries including planar (Cartesian), cylindrical (i.e. …
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Mathematical modelling of mammalian mitochondrial metabolism
… Biology” or “Systems Biology”. Mathe-matical modelling is a method to study a biological system using computer-aided tools. A mathematical model of any biological system consists of a set of biochemical (or other) reactions – complete with reaction mechanisms, substrate, product, and e˙ector …
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Mathematical modelling of blood glucose regulation
… for validating the incorporation of glucagon. Mathematical models are used as tools within biological applications as they allow for an investigation into the dynamics that are involved in complex regulatory processes. The mathematical models in this thesis serve as accurate tools to predict …
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Mathematical modelling and brain dynamical networks
In this thesis, we study the dynamics of the Hindmarsh-Rose (HR) model which studies the spike-bursting behaviour of the membrane potential of a single neuron. We study the stability of the HR system and compute its Lyapunov exponents (LEs). We consider coupled general sections of the HR system to …
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Multiscale Mathematical Modelling of Cancer Invasion
… cell types. Prote- olytic degradation and remodelling of the extracellular matrix is essential for cancer cells to be able to invade. Important matrix degrading enzymes include the matrix metalloproteases (MMP) and the urokinase plasminogen activator (uPA).<br/><br/>This thesis has …
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Mathematical modelling of an annealing furnace
… nonlinear variables can be improved using modelling to calculate furnace and strip temperatures as a result of control actions in real time, which cannot otherwise be measured or predicted. It is shown that a three-dimensional model is capable of accurately calculating furnace temperatures …
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Mathematical modelling in batch emulsion polymerization
… be operated with or without internal baffles. A mathematical model covering stages I,II and III of emulsion polymerisation has been proposed and its predictions have been compared with experimental data. Classical models do not present satisfactory predictions for the case of low soap …
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Mathematical Modelling of Tower Fermentation Processes
… increasingly dependent upon the availability of mathematical models for use in simulation studies. The research described in the thesis has been concerned with the analysis and modelling of some of these microbial processes, in particular those involving tower fermenters. Because of the nature of …
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Mathematical modelling of unsteady contact melting
The work in this thesis deals with the heat transfer and fluid flow problem encountered in the analysis of an unsteady contact melting process. Chapters 2 and 3 deal with only the heat transfer problem without fluid flow. In Chapter 2 the pre-melting problem is treated. The focus is to obtain the …
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Mathematical modelling studies of human locomotion
This thesis was almost wholly conducted in the confines of the Department of Bio-engineering and Medical Physics, University of Cape Town and the Bio-engineering Unit, Princess Alice Orthopaedic Hospital, Cape Town. It is an interdisciplinary thesis in that an effort has been made to bridge and …
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Mathematical modelling of pulsatility in neuroendocrine systems.
The work described in this thesis concerns the mathematical description of the characteristic oscillatory electrical behaviour of certain neurosecretory cells found in the hypothalamus of the mammalian brain. This study concentrates on those cells which secrete the hormone oxytocin. A model first …
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Mathematical modelling of thixotropic and antithixotropic fluids
In this thesis we consider two fundamental flow problems, the Stokes problem and flow in a slowly-varying channel, for complex fluids. Specifically, we investigate these problems for thixotropic and antithixotropic fluids described by Mewis and Wagner's [Advances in Colloid and Interface Science, …
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Mathematical modelling of tissue metabolism and growth
… work presented in this thesis is concerned with modelling the growth of tissue constructs, with particular focus on the effects the local micro environment has on the cell cycle and metabolism. We consider two cases; multicellular tumour spheroids and orthopaedic tissue constructs. This thesis is …
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Data mining and mathematical modelling on diabetes
… of all types of DM disease. Since the 1960s, mathematical models of metabolism have been proposed in the literature. The majority of these models are glucose-based and have ignored the contribution of non-esterified fatty acid (NEFA) metabolism, which is an important source of energy for the …
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