Non-linear SHS phenomena: Experiment, theory, numerical modeling

Modeling Non-Linear Dynamic Phenomena in Biochemical Networks

Facilitated by the development of high-throughput techniques, the focus of biological research has changed in the last decades from the investigation of single cell components to a system-level approach, which aims at an understanding of interactions between these cell components. This objective requires modeling and analysis methods for these regulatory networks. In this thesis, we investigate...

pMDI Sprays: Theory, Experiment and Numerical Simulation

The inhalation therapy is a cornerstone in asthma treatment. A disease characterized by episodes of wheezing, breathing difficulties, chest tightness and coughing. Essentially it is a chronic inflammatory disorder associated with airway hyper responsiveness [1]. This disease already affects over 300 million people worldwide, growing at a rate of 50% per decade, and causes the death of 220 thous...

The Implications of Non-Linear Phenomena

Aging phenomena in spin glasses: theory, experiment, and simulation

We study numerically temperature-shift and field-shift aging protocols on the 3-dimensional (3D) Ising EdwardsAnderson (EA) spin-glass (SG) model focusing on respectively the temperature-chaos nature and the stability under a static field of the SG phase. The results of the latter strongly support the droplet theory which predicts the instability of the SG phase under the field. They are also d...

Numerical Stabilisation of Non-linear Systems: Exact Theory and Approximate Numerical Implementation

In this paper, a theoretical background is presented for the stabilisation of non-linear systems. A numerical implementation is then proposed. The class of systems concerned with the. proposed practical approach is quite large and contains all flat systems as a particular subset. The stabilising strategy is based on path generation strategy and avoids the integration of the differential system....