An approach for dividing models of biological reaction networks into functional units

in Simulation: Trans. Society for Modeling and Simulation International (2003), 79(12), 703-716

Biological reaction networks consist of many substances and reactions between them. Like many other biological systems, they have a modular structure. Therefore, a division of a biological reaction ... [more ▼]

Biological reaction networks consist of many substances and reactions between them. Like many other biological systems, they have a modular structure. Therefore, a division of a biological reaction network into smaller units highly facilitates its investigation. The authors propose an algorithm to divide an ordinary differential equation (ODE) model of a biological reaction network hierarchically into functional units. For every compound, an activity function dependent on concentration or concentration change rate is defined. After performing suitable simulations, distances between the compounds are computed by comparing the activities along the trajectories of the simulation. The distance information is used to generate a dendrogram revealing the internal structure of the reaction network. The algorithm identifies functional units in two models of different networks: catabolite repression in Escherichia coli and epidermal growth factor (EGF) signal transduction in mammalian cells. [less ▲]

Der Einsatz neuer Medien in der regelungstechnischen Ausbildung

in Proceedings of GMA-Kongress (2003)

This paper reviews the use of new media for teaching of control engineering.

Model Reduction in Biological Systems Applied to a MAP Kinase Model

Conference (2002, November 04)

Context awareness for application sharing in teaching environment

in Int. Conf. Advances in Infrastructure for e-Business, e-Education, e-Science, and e-Medicine on the Internet (SSGRR 2002w) (2002, January)

On Deriving a Hybrid Model for Carbohydrate Uptake in Escherichia Coli

in Proc. 15th IFAC World Congress (2002)

Biosystems Engineering: Applying methods from systems theory to biological systems

in Proc. of the 3rd International Conference on Systems Biology (2001, November)

Adaptiver λ-Trajektorienfolgeregler für nichtlineare Systeme mit höherem relativen Grad

Conference (2001, February 16)

Adaptive λ-tracking for nonlinear systems with higher relative degree

Scientific conference (2001, January 29)

On Output feedback Nonlinear Model Predictive Control using high gain observers for a class of systems

in Proc. 6th IFAC Symposium on Dynamics and Control of Process Systems, DYCOPS-6 (2001)

Adaptive lambda -tracking for nonlinear systems with higher relative degree

in Proc. 39th IEEE Conference on Decision and Control (2000)

Previous results for adaptive lambda -tracker have focused on nonlinear systems with relative degree one or on linear systems with higher relative degree. We extend the adaptive lambda -tracker to lambda ... [more ▼]

Previous results for adaptive lambda -tracker have focused on nonlinear systems with relative degree one or on linear systems with higher relative degree. We extend the adaptive lambda -tracker to lambda -stabilize nonlinear system with higher relative degree. Only little structural information about the system to be controlled is needed. lambda -stability and convergence of the adaptation is proven for tracking a large class of reference trajectories. The design of the controller is very simple and intuitive, only few parameters have to be tuned [less ▲]