Lars Imsl, Frank Allgower, Bjarne A. Foss
Abstract: In recent years, nonlinear model predictive control schemes have been derived that guarantee stability of the closed loop under the assumption of full state information. However, only...
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, Allgower, Frank, Scheurich, Peter, Bullinger, Eric
Recently, a mathematical model of the mitochondrial apoptotic pathway was proposed. In that study, the robustness of different simpliļ¬ed 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, Allgower, 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...
Results towards identifiability properties of biochemical reaction networks (2006)
Farina, Marcello, Findeisen, Rolf, Bullinger, Eric, Bittanti, Sergio, Allgower, Frank, Wellstead, Peter
45th IEEE Conf. on Decision and Control
Adaptive lambda-tracking for nonlinear higher relative degree systems (2005)
Bullinger, Eric, Allgower, Frank
This paper proposes a relatively simple adaptive controller for nonlinear systems with higher relative degree. The controller achieves lambda-tracking for a large class of nonlinear systems, i.e. it...
Conzelmann, Holger, Saez-Rodriguez, Julio, Sauter, Thomas, Bullinger, Eric, Allgower, Frank, Gilles, Ernst Dieter
Biological systems and, in particular, cellular signal transduction pathways are characterised by their high complexity. Mathematical models describing these processes might be of great help to gain...
Bistability analyses of a caspase activation model for receptor-induced apoptosis (2004)
Eissing, Thomas, Conzelmann, Holger, Gilles, Ernst Dieter, Allgower, Frank, Bullinger, Eric, Scheurich, Peter
Apoptosis is an important physiological process crucially involved in development and homeostasis of multicellular organisms. Although the major signaling pathways have been unraveled, a detailed...
Kremling, Andreas, Fischer, Sophia, Gadkar, Kapil, Doyle, Francis J, Sauter, Thomas, Bullinger, Eric, ...
A benchmark problem is described for the reconstruction and analysis of biochemical networks given sampled experimental data. The growth of the organisms is described in a bioreactor in which one...
Imsland, Lars, Findeisen, Rolf, Bullinger, Eric, Allgower, Frank, Foss, Bjarne A
In recent years. nonlinear model predictive control (NMPC) schemes have been derived that guarantee stability of the closed loop under the assumption of full state information. However, only limited...
An adaptive high-gain observer for nonlinear systems (1997)
Bullinger, Eric, Allgower, Frank
Proc. of the 36th IEEE Conf. on Decision and Control