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.
Results
Showing 1 to 20 of 32 for “"compartmental model"”.
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Mathematical solutions to problems in radiological protection involving air sampling and biokinetic modelling
… developed, enabling non-recycling and recycling compartmental models to be solved. Their accuracy and speed were investigated, and methods of dealing with partitioning, continuous intake, and radioactive progeny were discussed. Analytical, rather than numerical, methods were used. These are …
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Green's Functions of Discrete Fractional Calculus Boundary Value Problems and an Application of Discrete Fractional Calculus to a Pharmacokinetic Model
… of fractional difference equations, and to model problems in pharmacokinetics. We claim that the discrete fractional calculus yields the best prediction performance compared to the continuous fractional calculus in the application of a one-compartmental model of drug concentration. In …
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Resource constraints in an epidemic: a goal programming and mathematical modelling framework for optimal resource shifting in South Africa
… new decision making territory. Developing models which are capable of producing realistic projections of disease spread under extreme uncertainty has been paramount for supporting decision making by many levels of government. In South Africa, this role has been fulfilled by the South …
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Quantitative Studies of Intracellular Trafficking of Two Classes of Resident Golgi Apparatus Proteins
… protein were determined and used to develop a compartmental model for pH sensitive trafficking in the bypass pathway. The spatial Golgi distribution of the protein during retrograde transport to the Golgi following endosomal exit was also investigated. This research lies at the interface of …
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The control of frequency of a conditional oscillator simultaneously subjected to multiple oscillatory inputs
… may be mismatched. We derive a mathematical model of the gastric mill network and deduce that the difference in timing between the pyloric and modulatory inputs is crucial in determining what effect it will have on the frequency of the gastric mill network. Over a certain range of the time …
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Nonlinear Dynamics, Stochastic Methods, And Predictive Modelling For Infectious Disease: Application To Public Health And Epidemic Forecasting
Statistical models must adapt to the evolving nature of many processes over time. This thesis introduces flexible models and statistical methods designed to infer data-generating processes that vary temporally. The primary objective is to develop frameworks for efficient estimation and prediction …
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Analyzing Cholera Dynamics in Homogeneous and Heterogeneous Environments
… next outbreaks are not adequate. Mathematical models play a critical role in predicting and understanding disease mechanisms, and have long provided basic insights in the possible ways to control infectious diseases. This dissertation is concerned with mathematical modeling and analysis of …
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A Lattice Boltzmann method model of diffusion-weighted magnetic resonance imaging in skeletal muscle
… diffusion coefficient via a Lattice Boltzmann model (LBM). Specifically, we aim to characterize how variations in microstructure and mass transport properties affect the local apparent diffusion coefficient of water measured with Diffusion Tensor Imaging (DTI). A numerical model is developed to …
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Spillover and emergence of bat-origin viral infections
… are comprised of four quantitative analyses: a compartmental model comparison of stochastic henipavirus serological dynamics in captive bats (Eidolon helvum in Ghana), a quantitative literature review of domesticated animals as bridging hosts of henipavirus and filovirus spillover, a statistical …
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Rapid diffusion in the brain extracellular space - biophysical constraints and physiological implications
Physiological experiments backed by biophysical models have shown that, in central glutamatergic synapses, changes in extracellular diffusivity or glutamate transporter functions exert significant influences on the excitatory transmission. Failures of transporter functions have also been related to …
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Novel model of cerebrospinal fluid dynamics based on hemodynamically driven cyclic brain compliance variation
… comprehension of the mechanism, a conceptual model, mathematical model and computer model are described. To capture the essence of CSF dynamics a three compartmental model is created representing: the ventricular system, the intracranial subarachnoideal space, and the spinal subarachnoideal …
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Modeling of [¹⁸F]-FHBG in tumor and normal tissues
… and tumor were plotted for all three groups. A 3-Compartmental Model for the kinetics of [¹⁸F]FHBG accumulation within each of the organs was coded using MATLAB, with COMKAT implementation. The time-activity curves were fitted and the kinetic parameters k1, k2, and k3 were calculated. A unified …
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Optimization and decision strategies for medical preparedness and emergency response
… research focuses on developing mathematical models, real-time algorithms, and computerized decision support systems that enable (1) systematic coordination to tackle multifaceted nature of mass dispensing, (2) fast disease propagation module to allow immediate mitigation response to on-site …
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METABOLIC AND PHARMACOKINETIC STUDIES OF BENZTROPINE AND TRIHEXYPHENIDYL
… were also estimated based on either non-compartmental model or compartmental model analyses. The RIAs developed in this work are by far the most sensitive methods for the analysis of benztropine and trihexyphenidyl. They are the only methods 1 capable of investigating the pharmacokinetics …
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Mathematical Models of Quorum Sensing
Mathematical models of biological phenomena are constructed in order to further the understanding of the known and unknown interactions that result in the behaviors of dynamical systems. We present mathematical models dealing with quorum sensing, which is the biological process of communication in …
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Statistical methods for longitudinal medical data with applications
… data. They range from generalized mixed- effect models, growth and evolution modeling (often combined with the mixed- effects structures), to time-to-events analyses. However, such statistical methodologies might sometimes involve complicated issues to deal with, especially those related to …
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Emergent properties of heterogeneous decomposition networks
… Historically, mass dynamics are predicted by a compartmental model consisting of various degradation processes. This approach provides a complete picture of mass in the model system, but includes extra information unnecessary for modeling overall mass dynamics. Furthermore, these models quickly …
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Mathematical modelling of emerging and re-emerging infectious diseases in human and animal populations
… other but they all deal with the mathematical modelling of emerging infectious diseases which, beyond being the leitmotiv of this thesis, is an important research area in the field of epidemiology and public health. A minor but significant part of the thesis has a theoretical flavour. This part …
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THE ECOLOGY OF TICK-BORNE RELAPSING FEVER IN WESTERN NORTH AMERICA
… investigations were combined with mathematical modeling and genetics to gain a clearer understanding of the interactions and mechanisms responsible for disease maintenance, distribution, and genetic diversity. The objectives of this research were to: 1) identify mammals associated with …
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THE ECOLOGY OF TICK-BORNE RELAPSING FEVER IN WESTERN NORTH AMERICA
… investigations were combined with mathematical modeling and genetics to gain a clearer understanding of the interactions and mechanisms responsible for disease maintenance, distribution, and genetic diversity. The objectives of this research were to: 1) identify mammals associated with …
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