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 40 for “"Mathematical biology"”.
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Using Mathematical Biology to Model a Revolution
… political revolutions using adaptations of mathematical biology models. Existing models of similar social phe- nomena either lack recruitment terms from one population to another, or assume the entire population is a constant size, which is not realistic in this scenario. Therefore, we have …
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Piecewise smooth systems and monotonicity.
… of such systems, particulary drawing from the mathematical biology literature, in order to motivate the work in later chapters. We describe the mathematical theory behind our work in Chapters 3 and 4. In particular we review the theory of LTI systems, positive LTI systems and monotone systems, …
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Permanent Coexistence for Omnivory Models
One of the basic questions of concern in mathematical biology is the long-term survival of each species in a set of populations. This question is particularly puzzling for a natural system with omnivory due to the fact that simple mathematical models of omnivory are prone to species extinction. …
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Nonlinear Dynamics, Synchronisation and Chaos in Coupled FHN Cardiac and Neural Cells
… most challenging systems to investigate from a mathematically based approach. The �eld of mathematical biology is a relatively recent one when compared to physics. In this thesis I present an introduction to the physiological aspects needed to gain access to both cardiac and neural systems for a …
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Stability of Periodic Waves in Nonlocal Dispersive Equations
… applications, including water wave theory and mathematical biology. Specifically, we establish the existence and nonlinear stability of a special class of periodic bound state solutions of the Fractional Nonlinear Schrodinger Equation, where the nonlocality of the fractional Laplacian presents …
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Parameter Estimation for Delay Differential Equations: A New Galerkin Approximation Framework
… widely used in many applied fields, including mathematical biology, climate science, and engineering. These equations contain free parameters and integral kernels that must be optimized to fit the dynamics of the physical systems they model. In this thesis, we present a framework for …
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Parameter Estimation Methods for Ordinary Differential Equation Models with Applications to Microbiology
… these methods are still vastly underutilized in mathematical biology, and one potential reason for this is their sophisticated implementation. While this work focuses on applying principal differential analysis to microbiota data, we also provide comprehensive details regarding the derivation and …
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Point symmetry methods for Itô Stochastic Differential Equations (SDE) with a finite jump process
… jump-diffusion process which is very popular in mathematical modeling. In financial mathematics, they are used to describe the change of stock rates and bonanzas, and they are often used in mathematical biology modeling and population dynamics. In this thesis, we extended the Lie point symmetry …
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Modeling the interactions between the circadian clock, dopamine, and metabolism
<p>This dissertation includes three projects in mathematical biology: (1) Mathematical modeling of the circadian clock and dopamine, (2) Mathematical analysis of a circadian clock model, and (3) Mathematical modeling of sex differences in one-carbon metabolism. Circadian rhythms, dopamine, and …
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Multiscale Modelling of Environmentally Transmitted Infectious Diseases
In the field of mathematical biology, researchers are beginning to witness an overwhelming appreciation of multiscale modelling as an essential and suitable technique as opposed to a traditional single-scale modelling approach in predicting the dynamics of infectious disease systems. Yet, there is …
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Continuum models for fungal growth
… et al.(2007). These models are of a complex mathematical structure, comprising both parabolic and hyperbolic parts. Thus, their analytic and numerical properties are nontrivial. The objectives of this thesis are to: (i) obtain a solid understanding of the physiology of growth and function and …
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Stochastic singular control: existence, characterization and approximation of solutions in cost minimization problems and games
… aerospace engineering, or rational harvesting in mathematical biology. Models involving stochastic singular controls raise many unsolved mathematical issues which represent a relevant limitation to their theoretical understanding. In this thesis, we provide mathematical tools and structural …
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Using Modelling to Optimise the Use of Biological Control Agents Against Soil-Borne Plant Pathogens
… seen as commercially viable. This thesis uses mathematical modelling to explore the interactions between a soil- borne biocontrol agent, a soil-borne pathogen, and the roots of a host plant. Understanding the dynamics of these organisms in more detail can allow us to optimise the use of …
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Mathematical Models of Major Arterial Occlusion
… The aim of the present study is to use mathematical modeling to investigate the effects of major arterial occlusion in multiple tissues and vascular geometries. A network representing the vasculature of the rat hindlimb is used to study peripheral arterial disease characterized by …
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Using epidemiological principles and mathematical models to understand fungicide resistance evolution
… and loss of yield. In this thesis, we use mathematical modelling to investigate how the spread of fungicide resistant pathogen strains can be slowed, using epidemiological models to understand how application strategies can be optimised. A range of different fungicide application strategies …
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Mathematical Models of Immune Responses to Infectious Diseases
In this dissertation, we investigate the mechanisms behind diseases and the immune responses required for successful disease resolution in three projects: i) A study of HIV and HPV co-infection, ii) A germinal center dynamics model, iii) A study of monoclonal antibody therapy. We predict that the …
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A Two-Component Model For Bacterial Chemotaxis
… bacteria <i>E. coli</i>. Wedevelop a mathematical model of <i>E. coli</i> chemotaxis at the single cell level. The modelconsists of two modules: The first describes how the cell transduces the external signalinto an internal signal (i.e. the change of the concentration of the …
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Robust numerical methods to solve differential equations arising in cancer modeling
… without dysfunction in multiple systems. From a mathematical point of view, the sequence of gene-environment interactions often leads to mathematical models which are hard to solve analytically. Therefore, this thesis focuses on the design and implementation of reliable numerical methods for …
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Mathematical Modeling of Circadian Rhythms in Drosophila melanogaster
… requires an approach that integrates both mathematical and molecular biology. From the recent discoveries in molecular biology and through a mathematical approach, we propose that the mechanism of circadian rhythm is based upon the combination of both negative and positive feedback.
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Predicting the Spread and Management of the Cassava Brown Streak Disease Epidemic
Cassava Brown Streak disease (CBSD) is a viral disease of cassava that causes necrosis of the edible root tissue, which reduces both consumable and marketable yield. In 2004, CBSD emerged in Uganda and has since been spreading rapidly through previously unaffected regions of East Africa and into …
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