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 9 of 9 for “"reaction-diffusion models"”.
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Reaction-Diffusion Models of Cancer Dispersion
… and temporal evolution of one-dimensional models of cancer dispersion are studied. The models discussed pertain primarily to the transition of a tumor from an initial neoplasm to the dormant avascular state, i.e. just prior to the vascular state, whenever that may occur. Initiating the …
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Applications of Field Theory to Reaction Diffusion Models and Driven Diffusive Systems
… density. Two of the fit parameters, namely the diffusion constant and the noise strength, deviate from their naive bare values [6]. In particular, the former increases significantly with the system size. Since this behavior can only be caused by nonlinear effects, we calculate the lowest order …
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Mathematical modeling and sparse identification of delay-driven dynamical systems with applications to gene regulatory networks
… the dissertation develops and analyzes delayed reaction–diffusion models motivated by the Hes1 gene regulatory system. A spatiotemporal framework is proposed to describe the interaction between Hes1 mRNA and protein, explicitly incorporating nuclear–cytoplasmic structure, diffusion, and …
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Global Existence of solutions to Reaction-Diffusion Systems with Mass Transport type Boundary Conditions
We consider coupled reaction-diffusion models, where some components react and diffuse on the boundary of a region, while other components diffuse in the interior and react with those on the boundary through mass transport. We proved if vector fields are locally Lipschitz functions and satisfies …
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Mathematical Models of Biofilm in Various Environments
… In this thesis, we studied several mathematical models of biofilm in the human body and marble environment. Some related background of biofilm growth and some basic existing numerical models were introduced in the first chapter. In the first project, we introduced how biofilm affects the local …
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Spatiotemporal Model of the Asymmetric Division Cycle of Caulobacter crescentus
… model of the cell cycle regulatory network. Our reaction-diffusion models provide additional insight into specific mechanism regulating different aspects of the cell cycle. We describe a molecular mechanism by which the bifunctional histidine kinase PleC exhibits bistable transitions between …
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Mathematical modelling of negative feedback signal transduction processes
… this thesis we present mathematical models for negative feedback signal transduction processes. Signal transduction pathways are often equipped with negative feedbacks. Negative feedback loops are important components that exhibit oscillations in concentrations of the substances …
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Packed bed reactors at the pellet scale: magnetic resonance studies of hydrodynamics, mass transport and reaction
… industries to facilitate heterogeneous catalytic reactions. Despite the widespread use of packed bed reactors in industry, the flow, transport, and reaction phenomena occurring at the scale of individual catalyst pellets is poorly understood due to a lack of experimental techniques capable of …
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Aspects of population dynamics
… through relatively simple population dynamics models. There is a plethora of models describing deterministic models of ecological systems evolving in a constant environment. However, stochasticity can lead to extinction or fixation events, noise-stabilized patterns, and nontrivial correlations. …