339 citations · 845 across the 16 of their papers we have counts for
17 papers
Non-parametric model-based estimation of the effective reproduction number for SARS-CoV-2
Jacques Hermes, Marcus Rosenblatt, Christian Tönsing +1
Viral outbreaks, such as the current COVID-19 pandemic, are commonly described by compartmental models by means of ordinary differential equation (ODE) systems. The parameter value…
Detecting frequency modulation in stochastic time series data
Adrian L. Hauber, Christian Sigloch, Jens Timmer
We propose a new statistical test to identify non-stationary frequency-modulated stochastic processes from time series data. Our method uses the instantaneous phase as a discrimina…
On structural and practical identifiability
Franz-Georg Wieland, Adrian L. Hauber, Marcus Rosenblatt +2
We discuss issues of structural and practical identifiability of partially observed differential equations which are often applied in systems biology. The development of mathematic…
PEtab -- interoperable specification of parameter estimation problems in systems biology
Leonard Schmiester, Yannik Schälte, Frank T. Bergmann +26
Reproducibility and reusability of the results of data-based modeling studies are essential. Yet, there has been -- so far -- no broadly supported format for the specification of p…
Analyzing effective models: An example from JAK/STAT5 signaling
Martin Peifer, Jens Timmer, Christian Fleck
In systems biology effective models are widely used due to the complexity of biological system. They result from a coarse-graining process which employs specific assumptions. Frequ…
Cause and Cure of Sloppiness in Ordinary Differential Equation Models
Christian Tönsing, Jens Timmer, Clemens Kreutz
Data-based mathematical modeling of biochemical reaction networks, e.g. by nonlinear ordinary differential equation (ODE) models, has been successfully applied. In this context, pa…