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 47 for “"discrete models"”.
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Algebraic theory for discrete models in systems biology
This dissertation develops algebraic theory for discrete models in systems biology. Many discrete model types can be translated into the framework of polynomial dynamical systems (PDS), that is, time- and state-discrete dynamical systems over a finite field where the transition function for each …
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Discrete capacity choice problems in repeated and scaled investment
… of continuous modelling while more practical discrete models are restricted by the methodology of solutions. This thesis applies the discount factor methodology to solve two scaling capacity choice problems: one is the scaling capacity expansions without switching options raised from Dxit and …
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Algebraic Methods for Modeling Gene Regulatory Networks
So called discrete models have been successfully used in engineering and computational systems biology. This thesis discusses algebraic methods for modeling and analysis of gene regulatory networks within the discrete modeling context. The first chapter gives a background for discrete models and …
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An Algebraic Approach to Reverse Engineering with an Application to Biochemical Networks
… perturbations. The construction of mathematical models based on observation of these responses, referred to as reverse engineering, is an important step in elucidating the structure and dynamics of such networks. Continuous models, described by systems of differential equations, have been used to …
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The algebraic statistics of sampling, likelihood, and regression
This thesis is about statistical models and algebraic varieties. Algebraic Statistics unites these two concepts, turning algebraic structure into statistical insight. Featured here are three types of models that have such an algebraic structure. Linear Gaussian covariance models are continuous …
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Continuum Methods and Tightness Results for Non-Simple SLE and CLE: Existence, Interactions, and Metric Approximations
… in two-dimensional statistical physics models. In particular, we deal with the construction and interaction of SLEκ curves and CLEκ loops in the non-simple regime κ∈(4,8], where the curves are self-touching and CLE loops intersect themselves and each other. The first part of the thesis …
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Discrete epidemic models with arbitrarily distributed disease stages
<p>The use of discrete-time models (or discrete models) in the field of mathematical epidemiology has been limited while continuous-time models (or continuous models) are often times preferred, particularly because disease dynamics do occur continuously in time and more mathematical tools are …
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Issues in Credit Risk Assessment in Agricultural Credit Markets
… Classification accuracy is utilized with the discrete models, while RMSE is used with the continuous models. The importance of the estimated models is also examined by the marginal effects of the explanatory variables on the probability of default.
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Discrete, amorphous physical models
Discrete models of physical phenomena are an attractive alternative to continuous models such as partial differential equations. In discrete models, such as cellular automata, space is treated as having finitely many locations per unit volume. Physical processes are modelled by rules that typically …
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Mathematical Models of the Alpha-Beta Phase Transition of Quartz
We examine discrete models with hexagonal symmetry to compare the sequence of transitions with the alpha-inc-beta phase transition of quartz. We examine a model by Parlinski which employs interactions of nearest and next-nearest neighbor atoms. We numerically determine the configurations which lead …
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Design of robust feedback control laws for high-dimensioned systems
The design of feedback control laws for discrete models of flexible structures is addressed. Two strategies are proposed. First, a parameter optimization method is used, in which the behavior of the controller is described by a performance measure and numerically optimized. A second method, based …
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Fast execution of temporal plans with mixed discrete-continuous state constraints
… However, existing approaches use simple discrete models to achieve goal sequences and thus cannot provide a high-fidelity plan for complex plan specifications in terms of time and state. In this thesis, we deliver Amundsen, an efficient configuration manager that supports complex …
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Cagan Type Rational Expectations Model on Time Scales with Their Applications to Economics
… fifty years ago by John F. Muth. Many models in economics have been studied using the rational expectations idea. The most familiar one among them is the rational expectations version of the Cagans hyperination model where the expectation for tomorrow is formed using all the information …
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Neural mechanisms underlying the flexible and continuous allocation of visual short-term memory resources.
… short-term memory (VSTM) are maintained as discrete items or as a continuous resource. While much recent behavioral evidence has supported a continuous resource model, neurological support has lagged behind. In the current study, participants underwent fMRI while they completed a …
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Conformal loop ensembles and the Gaussian free field
The study of two-dimensional statistical physics models leads naturally to the analysis of various conformally invariant mathematical objects, such as the Gaussian free field, the Schramm-Loewner evolution, and the conformal loop ensemble. Just as Brownian motion is a scaling limit of discrete …
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Polynomial Models for Systems Biology: Data Discretization and Term Order Effect on Dynamics
… from data. In particular, construction of discrete models for reverse engineering of biological networks is receiving attention, with the goal of providing a coarse-grained description of such networks. In this dissertation we consider the modeling framework of polynomial dynamical systems …
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Configuration spaces of thick particles on graphs
… points on the graph. We also investigate discrete models for configuration spaces of two thick particles. Moreover, given a metric graph and the size parameter r, we provide an algorithm for computing the number of path-components of the configuration space of two thick particles.
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Entanglement entropy in integrable quantum systems
… systems using integrable tools in continuum and discrete models. In particular, in the first article we generalise the method described in the seventh article in order to take into account non unitary conformal systems. In the second article we use a form factor expansion to probe a non unitary …
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Electromechanical Wave Propagation in Large Electric Power Systems
… presents one-dimensional and two-dimensional discrete models to illustrate the propagation of electromechanical waves in a continuum system. The more realistic simulations of the non-uniform distribution of generators and boundary conditions are also studied. Numerical simulations, based on …
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Discrete Modeling and Sliding Mode Control of Piezoelectric Actuators
… this research is aimed at developing novel discrete models and discrete SMC (DSMC)-based control schemes for PEAs, along with their experimental validation. The first part of this thesis concerns with the modeling and control of one-degree of freedom (DOF) PEA, which can be treated as a …
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