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 “"Polynomial Dynamical Systems"”.
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On Equilibria and Feasibility of Ecological Polynomial Dynamical Systems
… and predicting the behavior of ecological systems has been one of the greatest challenges in ecology. One promising route to accomplish this challenge has been based on the mathematical modeling of species abundances over time. However, finding a compromise between tractability and realism …
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Algebraic theory for discrete models in systems biology
… 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 variable is given …
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A Mathematical Model of a Denitrification Metabolic Network in Pseudomonas aeruginosa
… and testable hypotheses generation using polynomial dynamical systems and stochastic discrete dynamical systems. Analysis of the long-term behavior of the system changing the concentration level of oxygen, nitrate, and phosphate suggests that phosphate highly affects the denitrification …
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Optimization and Optimal Control of Agent-Based Models
… the study of agent-based models; presentation as polynomial dynamical systems is presented as a viable option. Algorithms are adapted and presented for use in this framework.
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Polynomial Models for Systems Biology: Data Discretization and Term Order Effect on Dynamics
Systems biology aims at system-level understanding of biological systems, in particular cellular networks. The milestones of this understanding are knowledge of the structure of the system, understanding of its dynamics, effective control methods, and powerful prediction capability. The complexity …
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State Estimation in Dynamical Robotic System with Non-Gaussian Noise
… algorithms that perform state estimation in dynamical systems with arbitrary noise and prove their theoretical guarantees. We tackle two challenging state estimation problems: multi-model point cloud registration and state estimation in polynomial dynamical systems, both contaminated by …
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A Systems Biology Approach to Microbiology and Cancer
Systems biology is an interdisciplinary field that focuses on elucidating complex biological processes (systems) by investigating the interactions among its components through an iterative cycle composed of data generation, data analysis and mathematical modeling. Our contributions to systems …
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Algorithms for modeling and simulation of biological systems; applications to gene regulatory networks
Systems biology is an emergent field focused on developing a system-level understanding of biological systems. In the last decade advances in genomics, transcriptomics and proteomics have gathered a remarkable amount data enabling the possibility of a system-level analysis to be grounded at a …
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An Algebraic Approach to Reverse Engineering with an Application to Biochemical Networks
One goal of systems biology is to predict and modify the behavior of biological networks by accurately monitoring and modeling their responses to certain types of perturbations. The construction of mathematical models based on observation of these responses, referred to as reverse engineering, is …