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Case studies (Life Science Mathematics) in summer semester 2020

Registration required soon, see below

In this course, the participants, organised in small groups of 2-4 persons, model – largely independent – a biological system by methods taught in Biomathematics and Biostatistics classes. This includes literature research, formulation of the model, analysis and simulations of the model as well as the interpretation of the results and a final presentation of the project. The students are supervised intensely in the small groups and receive individual mentoring, support and training.

Within the scope of the case studies, introductions in soft skills like presentation techniques, literature research, and methods to set-up of realistic work schedule will be offered as preparation. Organisation and project work skills in a team will be acquired and tested on the basis of the own project.

A special focus is set on the connection of Mathematics with a concrete application from life sciences. Thereby, apart from the internal exchange concerning the progresses and results, also the project presentation for people from other disciplines or different educational background is trained.

The offered projects mainly are current interdisciplinary project, run in cooperation with groups from different faculties at TUM or other research institutions.

The course is offered for Master students of the Faculty of Mathematics, especially those enrolled in the study course "Mathematics" with major field of study "Biomathematics and Biostatistics" or study course "Mathematics in Biosciences".

Weekly hours: 4
ECTS credits: 7

Soon to come: more information about the application process (which runs before the start of the new semester)

We invite all interested students to an information meeting on Wednesday, 5th of February, 2020, at 13.15h in room 03.04.011. Here you can find the content of the general slides shown there:

The following projects will be offered: For a short description of these project, please see below.

Registration is still possible until March 15th, 2020 (extended), it is mandatory and binding, attendance is compulsory. For the registration please write a short email to kuttler@ma.tum.de providing the following information:

If you are also interested in the Case Studies Discrete Optimization or the Case Studies in Nonlinear Optimization (see also https://www.ma.tum.de/en/department/company-partnerships/case-studies/fallstudien-2020.html ), you can include projects from Optimization, too (in this case: please submit your application also to casestudies.or@tum.de ) - this option was only possible until March, 1st. We will then assign you to one of these courses while trying to respect your individual ranking.

After March, 1st, we still may have a limited number of places available for incomings from abroad and for master students coming from other universities and starting at TUM this summer. If this applies to you, please write an email to kuttler@ma.tum.de .

Tactic voting

Joint project with A. Tellier, V. Hösel.

Data about democratic elections incorporate an astonishingly high amount of regular patterns. For example, quite often the distribution of a party's vote share (in the many election districts) is well described by a Beta distribution. The zealot model (noisy voter model) is a mechanistic explanation for that finding.

Or, in proportional elections, the logarithm of the number of votes for a party is well explained by a linear relation with the rank of the party in the election. Also in this case, a neutral model (the voter model with party dynamics) is a good explanation for this finding.

However, if we look at the residuals (difference of model predictions and observed data), these residuals are not completely random, but a trend is visible. For example, in Germany, the parties directly below the 5% threshold get less, and those above the 5% threshold more votes than expected. We believe that this is observation a result from tactic voting: Voters wish that their votes have an influence. Parties that do not make it into the parliament will be less important and in this, a vote for these parties is kind of a loss.

This project aims to build a model to explain the effect of tactic voting in different election systems (with 5% threshold - Germany; without threshold - The Netherlands; Election with a second run - residential elections in France).

Lit.: V. Hösel, J. Müller, A. Tellier Universality of neutral models: Decision process in politics. Palgrave Communications, 2019 DOI: i.org/10.1057/s41599-019-02 https://www.nature.com/articles/s41599-019-0222-0

Analysis of dough rheology during kneading

The kneading of dough has a great impact on bakery products. So the sooner the properties of the dough and its rheological properties can be analyzed during the dough preparation, the sooner quality ensuring measurements can be taken during the production. The project deals with the analysis of such rheological data to assess product quality.

Dysphagia - Effectiveness of swallows?

Several types of dysphagia may cause severe health problems, wherease others are unproblematic. New sensor techniques allor for long time observations: continuous measurements of pressure and impedance over the whole length of the oesophagus. An algorithm for the detection of the swallows, based on the pressure data, is available. But the aim of this project is to use the impedance data to distinguish between effective and ineffective swallows and to characterise swallowing processes.

The project will run in close cooperation with Dr. Alissa Jell (Klinikum Rechts der Isar) and the team there.

-- ChristinaKuttler - 22 Jan 2020
Topic attachments
I Attachment Action Size Date Who Comment
fallstudien_folien_public_2020.pdfpdf fallstudien_folien_public_2020.pdf manage 108.0 K 10 Feb 2020 - 14:08 ChristinaKuttler Case Studies slides information meeting Feb. 2020