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 29 for “"differential equation model"”.
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An impulsive differential equation model for Marek's disease
… well by what are referred to as impulsive differential equations, systems of differential equations coupled with discrete mappings in state space. In this thesis we employ impulsive differential equations to model disease transmission within an industrial livestock barn. In particular we …
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Analysis of a Partial Differential Equation Model of Surface Electromigration
<p>A Partial Differential Equation (PDE) based model combining surface electromigration and wetting is developed for the analysis of the morphological instability of mono-crystalline metal films in a high temperature environment typical to operational conditions of microelectronic interconnects. …
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A Numerical Study of a Delay Differential Equation Model for Breast Cancer
In this thesis we construct a new model of the immune response to the growth of breast cancer cells and investigate the impact of certain drug therapies on the cancer. We use delay differential equations to model the interaction of breast cancer cells with the immune system. The new model is …
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Application of a Numerical Method and Optimal Control Theory to a Partial Differential Equation Model for a Bacterial Infection in a Chronic Wound
… and a numerical method to a system of partial differential equations arising from a problem in wound healing. Optimal control theory is a generalization of calculus of variations, as well as the method of Lagrange Multipliers. Both of these techniques have seen prevalent use in the modern …
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A mathematical modelling approach for the elimination of malaria in Mpumalanga, South Africa
… local cases in recent years. Mathematical modelling may be used to study the incidence and spread of disease with an important benefit being the ability to enact exogenous change on the system to predict impact without committing any real resources. Three models are developed to simulate …
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Deterministic Parallel Global Parameter Estimation for a Model of the Budding Yeast Cell Cycle
… to find improved parameters for a system of differential equations designed to simulate the cell cycle of budding yeast. Comparing the model simulation results to experimental data is difficult because most of the experimental data is qualitative rather than quantitative. An algorithm to …
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Stochastic finite element analyses of uncertain nonlinear plane trusses under random excitations
… The constitutive law is based on an explicit differential equation model, and the model parameters are determined in terms of material property constants according to plasticity theory. Random excitations are modeled as Gaussian filtered white noises, whereas uncertain system parameters are …
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Modeling and Numerical Approximations of Optical Activity in the Chemical Oxygen-Iodine Laser
… The concern of this work is do develop a partial differential equation model describing optical behavior in the COIL. Optical behavior of the COIL has traditionally been investigated via a ray tracing method. Photons are represented as discrete particles, and their behavior is described by the …
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Modeling the dynamics of user adoption and abandonment for a single product
We introduce a compartmental differential equation model to study the dynamics of user adoption and abandonment for a single product. The model integrates two forms of abandonment: infectious, driven by user interactions, and non-infectious, prompted by external influences. Notably, the infectious …
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Reliability of copper interconnects in integrated circuits
… by implementing the one-dimensional non-linear differential equation model first described by Korhonen et al. By applying an implicit method (Backward Euler method), the calculation time was significantly reduced, and stability increased, compared to previous tools based on explicit methods …
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The evaluation and modification of a prediction model for road surface temperatures
One version of a Surface Temperature Prediction Model has been evaluated and modified to precisely predict road temperatures and road conditions during winter nights under all weather conditions at rural, suburban, and urban sites. The Partial Differential Equation approach gives encouraging …
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Mathematical Analysis on the PEC model for Thixotropic Fluids
… yield stress fluid using a viscoelastic model under the limit that the ratio of retardation time versus relaxation time approaches zero. The differential equation model (the PEC model) describing the evolution of the conformation tensor is analyzed. We model the flow when simple shearing …
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Modeling and analysis of a three-species food web with facilitated and intraguild predation
… attention in ecological food webs. Mechanistic models have improved our understanding of these complex food web interactions. Here, focus is given to a three-species food web system with a beach dune natural community in mind. In the last decade, there has been a series of studies investigating …
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Dynamics of Naive and Memory CD4 T-cells in Chronically Infected HIV Patients Post-Injection of Down-Modulated CCR5 Memory CD4-Cells
… the effector memory state, a non linear ordinary differential equation model was used to model the experiment. Various data fitting techniques in Matlab Stan and Monolix software were used to estimate the model parameters (proliferation, death, transition and birth rates) before and after the …
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Integrating In-Silico Models with In-Vitro Data to Generate Novel Insights into Biological Systems
Models and computational predictions are useful in identifying certain key parameters that play a central role in defining the overall behavior of the system, and thus lead to new and more informative experiments. In this thesis, in-silico models are developed over a range of individual biological …
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Modelling the endothelial cell response to fluid flow
… and lead to a coordinated response. The flow is modelled over a 3D virtual cell, which naturally gives the force the flow exerts on the cell surface via a boundary integral representation. This force is coupled to a Kelvin-body model of mechano-transduction which links, via a focal adhesion …
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Evaluating the Prevalence of Tick-Borne Viruses Circulating in Virginia Using a One-Health Approach
… distribution and prevalence via a mathematical model. Here, we discuss the known literature relevant to tick-borne virus emergence; we assessed the presence of specific neutralizing antibodies against POWV, HRTV, and BRBV in wildlife and livestock sera collected from different health planning …
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Low-dimensional Models for Real-time Simulation of Internal Combustion Engines and Catalytic After-treatment Systems
… low-order fundamentals (first-principles) based models for each of the engine sub-systems, i.e. in-cylinder combustion processes, exhaust after-treatment systems, mechanical and electrical systems (for hybrid vehicles) and sensor and control systems. In this work, we develop a four-mode …
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Dynamics of the innate immune response to infection: a mathematical modelling approach
… In this dissertation, I use mathematical modelling approaches to elucidate two linked processes which are key to the innate immune response to Salmonella infection. First, I consider the inflammasome, a large protein complex which forms in cells following infection. The inflammasome is …
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A control theoretic approach to mitigate viral escape in HIV
… perspective. We present a deterministic ordinary differential equation model that is able to represent the three main stages in HIV infection. The mechanism behind this model suggests that macrophages could be long-term latent reservoirs for HIV and may be important in the progression to AIDS. To …
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