MIRA University of Twente
Applied Analysis

PhD Projects

Finished Projects

Deterministic wave modelling and simulationf ro offshore and harbour applications Coastal zone simulations with Optimized Variational Boussinesq model - Post Doc Didit Adytia Desynchronization of Parkinsonian oscillations in the subthalamic Desynchronization of Parkinsonian Bursts in the Basal Ganglia-Thalamocortical Circuit - Bettina C. Schwab Deterministic wave modelling and simulation for offshore and harbour applications - Mathematical models and numerical implementation for accurate coastal wave modeling - MSc Ruddy Kurnia Modelling and Simulation of Ocean surface waves In this project we will continue research on water waves using as simulation tools the AB and AB2 equation [1,5]. PAINSIGHT: Modelling and identification of the nociceptive system Deep brain stimulation (DBS) is a surgical treatment where an electrode is implanted to stimulate nerve cells in a specific brain region (nucleus). DBS is a well established treatment when medication is no longer effective for Parkinson’s disease (PD) Neuronal network behaviour resulting from brain stimulation Deep brain stimulation (DBS) is a surgical treatment where an electrode is implanted to stimulate nerve cells in a specific brain region (nucleus). DBS is a well established treatment when medication is no longer effective for Parkinson’s disease (PD). Coastal zone and tsunami simulations with Variational Boussinesq model Our aim is to further develop a water wave model, the so-called Variational Boussinesq Model (VBM) which is based on the Hamiltonian structure of gravity surface waves. In the VBM, the fluid potential in the expression of the kinetic energy is approximated by its value at the free surface plus a linear combination of the vertical potential profiles with horizontal spatially dependent functions as coefficients. Interactions of water waves with ship and offshore structures modelled by extensions of Variational Boussinesq Models The aim of this project is to calculate in an efficient and accurate way to calculate the interaction of multi-directional water waves with constructions such as moving ships and fixed structures as windmill fields, etc. This will include waves generated by moving ships that bounce back from nearby walls. Extreme surface waves: analytical modeling The aim of the project is to further develop a water wave model, the so-called AB-equation. The AB-equation is derived by approximating the kinetic energy functional up to a cubic term; the resulting model is an exact dispersive unidirectional wave equation which is accurate up to and including second order in wave height and conserves the energy and momentum. Modelling and simulation of extreme waves in hydrodynamic laboratories The Variational Boussinesq Model (VBM) for gravity surface waves on a layer of ideal fluid conserves mass, momentum, energy, and contains decreased dimensionality compared to the full problem. It is derived from a Hamiltonian formulation via an approximation of the kinetic energy, and has related approximate dispersion characteristics. From spiking neurons to brainwaves Epilepsy is a neuronal disorder, characterized by an increased probability of recurring seizures, that affects 1% of world population. Studying epilepsy is a complex task because most clinical data is obtained with electroencephalography with a very low spacial resolution: every electrode records the electrical activity of millions of neurons. Nearshore Tsunami Modelling & Simulations This project aims to increase our understanding of various aspects of nearshore tsunami flows using analytical and simulation tools. In particular, we aim to significantly improve predictions of the large spatial variability of tsunami waveheights along the coast.