Mathematical Algorithmic Optimization - Otto-von-Guericke-University Magdeburg

Manuel Tetschke

Manuel Tetschke

PhD Student in the MathOpt research group
at the Faculty of Mathematics
at the Otto von Guericke University Magdeburg


Universitätsplatz 2, 02-221a
39106 Magdeburg, Germany

phone: +49 391 67 51449
fax: +49 391 67 41171

Short CV

A long version is available on request.


July 2015
– present:
PhD student and research assistent
Oct. 2011
– July 2014:
Otto-v.-Guericke-University (Magdeburg)
Master of Science in Mathematics, specialized in Optimal Control
Apr. 2009
– Dec. 2012:
Otto-v.-Guericke-University (Magdeburg)
Bachelor of Science in Computermathematics
Oct. 2007
– March 2009:
Martin-Luther-University (Halle)
Teacher training (mathematics and computer science)


March 2014
– June 2015:
IBM Services Center, Magdeburg, Germany
Application Development and project lead
April 2013
– Jan. 2014:
Volkswagen AG, Wolfsburg, Germany
Master thesis and internship: Non-linear model-predictive control applied to the example of a cooling-cycle of a car

Research interests

Selected publications

Heil, P., Neubauer, H., Tetschke, M. & Irvine, D. R. F. A Probabilistic Model of Absolute Auditory Thresholds and Its Possible Physiological Basis 2013 Basic Aspects of Hearing   inproceedings
Abstract: Detection thresholds for auditory stimuli, specified in terms of their ­amplitude or level, depend on the stimulus temporal envelope and decrease with increasing stimulus duration. The neural mechanisms underlying these fundamental across-species observations are not fully understood. Here, we present a ``continuous look'' model, according to which the stimulus gives rise to stochastic neural detection events whose probability of occurrence is proportional to the 3rd power of the low-pass filtered, time-varying stimulus amplitude. Threshold is reached when a criterion number of events have occurred (probability summation). No long-term integration is required. We apply the model to an extensive set of thresholds measured in humans for tones of different envelopes and durations and find it to fit well. Subtle differences at long durations may be due to limited attention resources. We confirm the probabilistic nature of the detection events by analyses of simple reaction times and verify the exponent of 3 by validating model predictions for binaural thresholds from monaural thresholds. The exponent originates in the auditory periphery, possibly in the intrinsic Ca2+ cooperativity of the Ca2+ sensor involved in exocytosis from inner hair cells. It results in growth of the spike rate of auditory-nerve fibers (ANFs) with the 3rd power of the stimulus amplitude before saturating (Heil et al., J Neurosci 31:15424--15437, 2011), rather than with its square (i.e., with stimulus intensity), as is commonly assumed. Our work therefore suggests a link between detection thresholds and a key biochemical reaction in the receptor cells.
  author = {Heil, Peter and Neubauer, Heinrich and Tetschke, Manuel and Irvine, Dexter R. F.},
  title = {A Probabilistic Model of Absolute Auditory Thresholds and Its Possible Physiological Basis},
  booktitle = {Basic Aspects of Hearing},
  publisher = {Springer New York},
  year = {2013},
  editor = {Moore, Brian C. J. and Patterson, Roy D. and Winter, Ian M. and Carlyon, Robert P. and Gockel, Hedwig E},
  pages = {21--29},
  address = {New York, NY}
Tetschke, M. Nichtlineare Modell--prädiktive Regelung am Beispiel eines PKW--Kühlkreislaufes 2014 School: Otto-von-Guericke Universität Magdeburg   mastersthesis
  author = {Tetschke, M.},
  title = {{N}ichtlineare {M}odell--pr\"adiktive {R}egelung am {B}eispiel eines {PKW}--{K}\"uhlkreislaufes},
  school = {Otto-von-Guericke Universit\"at Magdeburg},
  year = {2014}
Tetschke, M., Lilienthal, P., Pottgiesser, T., Fischer, T., Schalk, E. & Sager, S. Mathematical Modeling of RBC Count Dynamics after Blood Loss 2018 Processes   article DOI
  author = {Tetschke, M. and Lilienthal, P. and Pottgiesser, T. and Fischer, T. and Schalk, E. and Sager, S.},
  title = {Mathematical Modeling of {RBC} Count Dynamics after Blood Loss},
  journal = {Processes},
  year = {2018},
  volume = {6},
  number = {9},
  pages = {157--185},
  doi = {}

Further references of the MathOpt group can be found on this page.

Last Modification: 2018-11-08 - Contact Person: Manuel Tetschke - Impressum