Search for dissertations about: "systems of ordinary differential equations"
Showing result 1 - 5 of 52 swedish dissertations containing the words systems of ordinary differential equations.
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1. Runge-Kutta Solution of Initial Value Problems: Methods, Algorithms and Implementation
Abstract : The last decades have seen a strongly increasing use of computers for modeling larger and more complex systems. This has been made possible by a combination of increasing computer power and easy-to-use graphical modeling environments and libraries of components. READ MORE
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2. Computation of Parameters in some Mathematical Models
Abstract : In computational science it is common to describe dynamic systems by mathematical models in forms of differential or integral equations. These models may contain parameters that have to be computed for the model to be complete. READ MORE
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3. Exploring the Boundaries of Gene Regulatory Network Inference
Abstract : To understand how the components of a complex system like the biological cell interact and regulate each other, we need to collect data for how the components respond to system perturbations. Such data can then be used to solve the inverse problem of inferring a network that describes how the pieces influence each other. READ MORE
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4. A Numerical Study of the Lorenz and Lorenz-Stenflo Systems
Abstract : In 1998 the Swedish mathematician Warwick Tucker used rigorous interval arithmetic and normal form theory to prove the existence of a strange attractor in the Lorenz system. In large parts, that proof consists of computations implemented and performed on a computer. READ MORE
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5. Model-Based Hypothesis Testing in Biomedicine : How Systems Biology Can Drive the Growth of Scientific Knowledge
Abstract : The utilization of mathematical tools within biology and medicine has traditionally been less widespread compared to other hard sciences, such as physics and chemistry. However, an increased need for tools such as data processing, bioinformatics, statistics, and mathematical modeling, have emerged due to advancements during the last decades. READ MORE