Systems biology is a lively interdisciplinary research field that has received considerable attention in recent years. While traditional molecular biology studies the various components of a biological system (genes, RNAs, proteins,...) in isolation, systems biology aims to understand how these components interact in order to perform higher-level functions. Mathematical modeling then plays a major role not only in capturing and analyzing complex networks governing biological processes, but also as a way to verify hypotheses based on observational evidence and in designing efficient experiments to further the understanding of the system. The goal of this project is to pool our knowledge on discrete, deterministic and stochastic modeling of biological systems to pave the way towards efficient hybrid models (discrete/continuous, deterministic/stochastic) for elaborate biological networks.

Publications

2014
Numerical and Discrete Modeling of Reproductive Endocrinological Networks Doctoral thesis, Freie Universität Berlin, Peter Deuflhard (Advisor), 2014 Claudia Stötzel PDF
BibTeX
Mathematical Systems Biology
2013
Parameter identification in large kinetic networks with BioPARKIN CoRR - Computing Research Repository - arXiv.org, Vol.abs/1303.4928, 2013 Thomas Dierkes, Susanna Röblitz, Moritz Wade, Peter Deuflhard PDF
BibTeX
Mathematical Systems Biology
2012
A differential equation model to investigate the dynamics of the bovine estrous cycle Advances in Systems Biology, pp. 597-606, 2012 H. Marike T. Boer, Claudia Stötzel, Susanna Röblitz, Henri Woelders BibTeX
DOI
Mathematical Systems Biology
Candidate mechanisms underlying atypical progesterone profiles as deduced from parameter perturbations in a mathematical model of the bovine estrous cycle Journal of Dairy Science, 95(7), pp. 3837-3851, 2012 H. Marike T. Boer, Mochamad Apri, Jaap Molenaar, Claudia Stötzel, Roel F. Veerkamp, Henri Woelders BibTeX
DOI
Mathematical Systems Biology
2011
A mathematical model of the human menstrual cycle for the administration of GnRH analogues ZIB-Report 11-16 (Appeared in: Journal of Theoretical Biology 321 (2013) pp. 8-27) Susanna Röblitz, Claudia Stötzel, Peter Deuflhard, Hannah M. Jones, David-Olivier Azulay, Piet van der Graaf, Steven Martin PDF
BibTeX
URN
Mathematical Systems Biology
A simple mathematical model of the bovine estrous cycle Journal of Theoretical Biology, 278(1), pp. 20-31, 2011 (preprint available as ZIB-Report 10-06) H. Marike T. Boer, Claudia Stötzel, Susanna Röblitz, Peter Deuflhard, Roel F. Veerkamp, Henri Woelders PDF (ZIB-Report)
BibTeX
DOI
Mathematical Systems Biology
Advances in modelling of the bovine estrous cycle: Administration of PGF2alpha ZIB-Report 11-17 (Appeared in: Theriogenology 78 (2012), pp. 1415-1428) Claudia Stötzel, Julia Plöntzke, Susanna Röblitz PDF
BibTeX
URN
Mathematical Systems Biology
Mechanisms regulating follicle wave patterns in the bovine estrous cycle investigated with a mathematical model Journal of Dairy Science, 94(12), pp. 5987-6000, 2011 H. Marike T. Boer, Susanna Röblitz, Claudia Stötzel, Roel F. Veerkamp, Bas Kemp, Henri Woelders BibTeX
DOI
Mathematical Systems Biology