Academic projects

Note

This page showcases the most important academic projects completed during the Master’s degree in Applied Mathematics.
It is not an exhaustive list, but rather a selection of the most relevant ones.

Impact of Aortic Aneurysm Endografts on Systemic Haemodynamics,

Individual project

Course: Computational Haemodynamics, Lecturer: Prof. Lucas Omar Muller

Using a 1D cardiovascular model, the results of 10.1002/cnm.2598 are reproduced. The same blood vessel network is replicated, an endograft and endoleak are modeled. Results are discussed and compared with the scientific literature in a 20-page report that meets the formatting requirements for paper submission.

Modelling the impact of Aortic Valve Stenosis,

Individual project

Course: Biomedical Applications of Mathematics, Lecturer: Prof. Lucas Omar Muller

An aortic valve stenosis is simulated using a closed-loop model, also taking into account the influence of baroreflex. In a 20-minute presentation, the main pressure indexes, as well as flow and pressure curves, are discussed, comparing what was obtained with the literature.

Fighting Tumor: General and Prostate Cancer Models Comparison,

Group project

Course: Mathemal Biology, Lecturer: Prof. Simone Pezzuto

Two models of tumor dynamics, immunotherapy and chemotherapy response, are studied. The results are reproduced and their accuracy and realism are discussed by comparing them with the scientific literature. The conclusions of the study are outlined in a 34-page report and a 48-slide presentation.

Computational Complexity Analysis of DNA Sequence Algorithms,

Individual project

Course: Scientific computing, Lecturer: Prof. Robert Nürnberg

Computational complexity of DNA sequence processing algorithms is studied by developing and analyzing Python functions. These functions identify frequent k-mers and their point mutations and locate specific SPET positions in DNA sequences. Theoretical complexity analysis and practical benchmarking are conducted to evaluate the performance of these algorithms.