Master Theses

Below are a couple of examples of current master master theses. If these examples catch your interest, or if you have an idea of your own, you are welcome to contact us at mathcore@wolfram.com.

Iterative learning control framework in Mathematica

controlsystem (10K) Number of students: 1
Education: Y or similar, with specialization in control systems
Supervisor/Examiner: TBD
Supervisor Wolfram MathCore: TBD

Wolfram SystemModeler combines object-oriented physical modeling with Wolfram Mathematica's powerful tools for analysis and documentation of systems.

Iterative learning control (ILC) is a method for computing optimal input signals to a system such as an industrial robot, that will perform the same task over and over again. The method iteratively improves the entire input trajectory by comparing the entire output trajectory with a desired output trajectory. The process is often applied to physical robots, but it is also of interest for computing optimal input signals to a simulated robot model.

The goal of this work is to create an ILC framework in Mathematica, and use it to demonstrate how optimal input signals can be computed for some non-trivial robot model. The framework should allow easy evaluation and comparison of different ILC schemes.

You should be a M.Sc. student with good understanding modeling and simulation, have a strong interest in automatic control, easily adapt to new software systems, and have good grades.

The task should be performed at our office in Linköping.

Improving model based techniques for pharmaceutical trials.

controlsystem (10K) Title: Improving model based techniques for pharmaceutical trials.
Number of students: 1
Education: TB, Y, I-Bio
Supervisor/Examiner: Olof Dahlqvist Leinhard, Linköpings universitet
Supervisor Wolfram MathCore: Mikael Forsgren

Wolfram SystemModeler combines object-oriented physical modeling with Wolfram Mathematica's powerful tools for analysis and documentation of systems.

Model-based development and analysis is a growing part of the pharmaceutical companies development processes, and on MathCore we have ongoing projects with both life science research as well as the pharmaceutical industry. One of the large pharmaceutical companies' have been researching the use of medical imaging with a contrast agent in order to try to measure the any damage to the liver caused by pre-clinical trials of new drugs. In parallel, a group at Linköping University Hospital investigated similar processes for clinical diagnostics.

The goal of this work is to evaluate specific modifications of the model used to estimate liver function, in terms of how different transport mechanisms should be described and also, to investigate parameter uncertainty in the model given the experimental data. The work will be performed with data from the pharmaceutical company that is collected from rats.

You should be a M.Sc. student in Engineering Biology, Applied Physics, or Industrial Engineering. Your studies should be aimed towards modeling and simulation, and you should have an interest in mathematics and life science as well as having good grades.

The task should be performed at our office in Linköping.