Robustness analysis, prediction, and estimation for uncertain biochemical networks: An overview
Mathematical models of biochemical reaction networks are important tools in systems
biology and systems medicine, eg, to analyze disease causes or to make predictions for the …
biology and systems medicine, eg, to analyze disease causes or to make predictions for the …
Combining qualitative information and semi‐quantitative data for guaranteed invalidation of biochemical network models
P Rumschinski, S Streif… - International Journal of …, 2012 - Wiley Online Library
Mathematical models of complex biological networks are valuable to make predictions on
system properties and to identify therapeutic targets. However, development, validation and …
system properties and to identify therapeutic targets. However, development, validation and …
Estimation of consistent parameter sets for continuous-time nonlinear systems using occupation measures and LMI relaxations
Obtaining initial conditions and parameterizations leading to a model consistent with
available measurements or safety specifications is important for many applications …
available measurements or safety specifications is important for many applications …
Robustness analysis, prediction and estimation for uncertain biochemical networks
Mathematical models of biochemical reaction networks are important tools in systems
biology and systems medicine to understand the reasons for diseases like cancer, and to …
biology and systems medicine to understand the reasons for diseases like cancer, and to …
A state-space realization approach to set identification of biochemical kinetic parameters
Y Hori, RM Murray - 2015 European Control Conference (ECC), 2015 - ieeexplore.ieee.org
This paper proposes a set-based parameter identification method for biochemical systems.
The developed method identifies not a single parameter but a set of parameters that all …
The developed method identifies not a single parameter but a set of parameters that all …
Iteratively-Linearized Set-Based Parameter Estimation for Uncertain Nonlinear Systems
Y Ito - IFAC-PapersOnLine, 2023 - Elsevier
This study presents a set-based method to estimate unknown parameters of continuous-time
structured nonlinear systems under uncertainties. Sets containing the parameters are found …
structured nonlinear systems under uncertainties. Sets containing the parameters are found …
Set-based parameter estimation for symmetric network motifs
P Rumschinski, DS Laila, R Findeisen - IFAC Proceedings Volumes, 2011 - Elsevier
Deriving a predictive model in systems biology is a complex task. One major problem is the
typically large network size, which renders the analysis with standard methods difficult …
typically large network size, which renders the analysis with standard methods difficult …
[PDF][PDF] Verification of system properties of polynomial systems using discrete-time approximations and set-based analysis
P Rumschinski - 2015 - pure.mpg.de
Control and systems theoretical methods are employed to analyze and influence dynamical
systems in a desired way throughout science and practice. The basis of successfully …
systems in a desired way throughout science and practice. The basis of successfully …
[PDF][PDF] Set-membership Estimation, Analysis, and Experimental Design for Biological Systems
S Borchers - 2013 - pure.mpg.de
The question of origin, evolution, and functioning of life has always fascinated mankind and
influenced the way we think about and perceive ourselves. In 1665, Robert Hooke described …
influenced the way we think about and perceive ourselves. In 1665, Robert Hooke described …