Global Sensitivity Analysis of Biochemical Reaction Networks via Semidefinite Programming (2009)
Steffen Waldherr, Rolf Findeisen, Frank Allgöwer
Abstract: We study the problem of computing outer bounds for the region of steady states of biochemical reaction networks modelled by ordinary differential equations, with respect to parameters that...
Estimation of biochemical network parameter distributions in cell populations (2009)
Waldherr, Steffen, Hasenauer, Jan, Allgöwer, Frank
Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To...
Global Sensitivity Analysis of Biochemical Reaction Networks via Semidefinite Programming (2009)
Waldherr, Steffen, Findeisen, Rolf, Allgöwer, Frank
We study the problem of computing outer bounds for the region of steady states of biochemical reaction networks modelled by ordinary differential equations, with respect to parameters that are...
Waldherr, Steffen, Allgöwer, Frank
Bifurcations leading to complex dynamical behaviour of non-linear systems are often encountered when the characteristics of feedback circuits in the system are varied. In systems with many unknown or...
Poster Submission Title: Preservation of bistability in the reduction of an apoptosis model (2008)
Steffen Waldherr, Thomas Eissing, Madalena Chaves, S. Waldherr, T. Eissing, M. Chaves, ...
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A feedback approach to bifurcation analysis in biochemical networks with many parameters (2007)
Waldherr, Steffen, Allgower, Frank
Feedback circuits in biochemical networks which underly cellular signaling pathways are important elements in creating complex behavior. A specific aspect thereof is how stability of equilibrium...
Bistability preserving model reduction in apoptosis (2007)
Waldherr, Steffen, Eissing, Thomas, Chaves, Madalena, Allgower, Frank
Biological systems are typically very complex and need to be reduced before they are amenable to a thorough analysis. Also, they often possess functionally important dynamic features like...
Eissing, Thomas, Waldherr, Steffen, Allgöwer, Frank, Scheurich, Peter, Bullinger, Eric
Recently, a mathematical model of the mitochondrial apoptotic pathway was proposed. In that study, the robustness of different simplified signaling models with respect to parameter changes was also...
Steady state and (bi-) stability evaluation of simple protease signalling networks (2007)
Eissing, Thomas, Waldherr, Steffen, Allgöwer, Frank, Scheurich, Peter, Bullinger, Eric
Signal transduction networks are complex, as are their mathematical models. Gaining a deeper understanding requires a system analysis. Important aspects are the number, location and stability of...
Eissing, Thomas, Waldherr, Steffen, Gondro, Cedric, Bullinger, Eric, Sawodny, Oliver, Allgöwer, Frank, ...
Proc. of the IEEE Conference on Control Applications
Observability analysis and observer design for controlled population dynamics (2005)
The diploma thesis studies the design of nonlinear observers with exactly linear error dynamics via transformation or immersion into an appropriate observer canonical form. A model for the dynamics...
Observability analysis and observer design for controlled population dynamics (2005)
The diploma thesis studies the design of nonlinear observers with exactly linear error dynamics via transformation or immersion into an appropriate observer canonical form. A model for the dynamics...
Es werden zwei Verfahren zur Zuflussregelung an Schnellstraßenauffahrten verglichen: Das ALINEA-Verfahren und die Fuzzy-Zuflussregelung nach Bogenberger. Beide Verfahren wurden dazu für ein in der...
Es werden zwei Verfahren zur Zuflussregelung an Schnellstraßenauffahrten verglichen: Das ALINEA-Verfahren und die Fuzzy-Zuflussregelung nach Bogenberger. Beide Verfahren wurden dazu für ein in der...