Sökning: "systems of ordinary differential equations"

Visar resultat 1 - 5 av 52 avhandlingar innehållade orden systems of ordinary differential equations.

  1. 1. Runge-Kutta Solution of Initial Value Problems: Methods, Algorithms and Implementation

    Författare :Hans Olsson; Institutionen för datavetenskap; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Computer science; stiffness; software; computational process; differential algebraic equations; ordinary differential equations; Runge-Kutta; initial value problems; time-stepping; system; kontroll; numerisk analys; Datalogi; control; numerical analysis; systems;

    Sammanfattning : 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. LÄS MER

  3. 2. Computation of Parameters in some Mathematical Models

    Författare :Gunilla Wikström; Umeå universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; inverse problems; parameter estimation; systems of ordinary differential equations; short-cut methods; separable nonlinear least squares problems; Matlab toolbox for nonlinear least squares ; linear systems of equations; pseudoinverse solution; perturbation theory; singular value decomposition; experimental error analysis; Computer science; Datavetenskap;

    Sammanfattning : 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. LÄS MER

  4. 3. Exploring the Boundaries of Gene Regulatory Network Inference

    Författare :Andreas Tjärnberg; Erik Sonnhammer; Richard Bonneau; Stockholms universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; GRN; gene regulatory network; network inference; signal to noise ratio; model selection; variable selection; data properties; reverse engineering; ordinary differential equations; gene networks; linear regression; lasso; Biochemistry towards Bioinformatics; biokemi med inriktning mot bioinformatik;

    Sammanfattning : 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. LÄS MER

  5. 4. A Numerical Study of the Lorenz and Lorenz-Stenflo Systems

    Författare :Tommy Ekola; Michael Benedicks; Robert MacKay; KTH; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Mathematics; Warwick Tucker; Strange attractor; Lorenz equations; Lorenz-Stenflo equations; Lorenz attractor; Lorenz-Stenflo attractor; Dynamical systems; Normal form theory; MATEMATIK; MATHEMATICS; MATEMATIK;

    Sammanfattning : 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. LÄS MER

  7. 5. Model-Based Hypothesis Testing in Biomedicine : How Systems Biology Can Drive the Growth of Scientific Knowledge

    Författare :Rikard Johansson; Gunnar Cedersund; Tomas Strömberg; Peter Strålfors; Marija Cvijovic; Linköpings universitet; []
    Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; systems biology; modeling; ODE; hypothesis testing; falsificationism; insulin signaling; yeast; population heterogeneity; cell-to-cell variation; facilitation; pyramidal; synaptic; bootstrapping; personalized medicine; omics;

    Sammanfattning : 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. LÄS MER