Showing papers by "Andreas Kremling published in 2008"
TL;DR: A family of mathematical models is presented, varying with respect to their degree of complexity (number of reactions that are taken into account, number of parameters) that show a structurally and quantitatively robust behavior.
Abstract: Motivation: In Escherichia coli, the phosphoenolpyruvate: carbohydrate phosphotransferase system acts like a sensory element which is able to measure the flux through glycolysis. Since the output of the sensor, the phosphorylated form of protein EIIA, is connected to the activity of the global transcription factor Crp, the kinetic and structural properties of the system are important for the understanding of the overall cellular behavior.
Results: A family of mathematical models is presented, varying with respect to their degree of complexity (number of reactions that are taken into account, number of parameters) that show a structurally and quantitatively robust behavior. The models describe a set of experimental data that relates the output of the sensor to the specific growth rate. A central element that is responsible for the structural robustness is a feed-forward loop in the glycolysis, namely the activation of the pyruvate kinase reaction by a metabolite of the upper part of the glycolysis. The robustness is shown for variations of the measured data as well as for variations of the parameters.
Availability: MATLAB files for model simulations are available on http://www.mpi-magdeburg.mpg.de/people/kre/robust/ A short description of the files provided on this site can be found in the Supporting information.
Contact: kremling@mpi-magdeburg.mpg.de
49 citations
TL;DR: An interesting example is the carboydrate uptake in Escherichia coli that is described with two model variants: a very detailed and a reduced model.
Abstract: In der Systembiologie gewinnt die Entwicklung und Analyse von mathematischen Modellen immer mehr an Bedeutung. Die Erfolge bei der messtechnischen Erfassung der Genexpression und bei Metaboliten fuhren zu einer grosen Fulle von Informationen uber biologische Phanomene und erlauben es sehr detaillierte Modelle zur Beschreibung von Stoffwechsel, Signaltransduktion und Genexpression aufzustellen. Mathematische Modelle, die eine quantitative Beschreibung und Analyse ermoglichen, haben dabei eine entscheidende Bedeutung. Der Beitrag stellt am Beispiel der Kohlenhydrataufnahme bei Escherichia coli unterschiedliche Modellvarianten vor, die zur Bearbeitung spezifischer Fragestellungen entwickelt wurden. In Systems Biology the development and analysis of mathematical models becomes more and more important. Based on new measurement techniques, nowadays, experimental data from different sources are available that could be integrated into the models. An interesting example is the carboydrate uptake in Escherichia coli that is described wit ht wo model variants: a very detailed and a reduced model.