Dresden 2006 – wissenschaftliches Programm

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CPP: Chemische Physik und Polymerphysik

CPP 8: SYMPOSIUM Nonequilibrium Phenomena in Soft-Condensed Matter

CPP 8.1: Vortrag

Dienstag, 28. März 2006, 14:00–14:15, ZEU Lich

Optimal control of self-organized dynamics in cellular signaling — •Dirk Lebiedz — IWR, Im Neuenheimer Feld 368, 69120 Heidelberg

Recently, increasing experimental evidence has become available supporting the significance of self-organization and pattern formation for information processing in cellular signal transduction. The underlying complex mechanisms can only be understood by help of detailed mathematical modeling and simulation. In that context, model based control studies of self-organized dynamics are promising for two major reasons. First, to study potential dynamic regulatory mechanisms, and second, to explore possibilities for specific manipulation of biochemical system dynamics by external stimuli and targeted modifications realized for example by tailored drug application. Optimal control allows the general formulation of inverse problems with time-varying input parameters as well as specific control aims in the form of objective functionals to be minimized. We present applications of advanced numerical optimization to ordinary and partial differential equation models for cellular signal transduction systems and demonstrate how optimal control can be exploited for studying both inherent regulatory mechanisms and specific external manipulations. [1] D. Lebiedz, U. Brandt-Pollmann, Manipulation of self aggregation patterns and waves in a reaction-diffusion-system by optimal boundary control strategies, Phys. Rev. Lett. 91, 208301 (2003) [2] D. Lebiedz, S. Sager, H.G. Bock, P. Lebiedz. Annihilation of limit-cycle oscillations by identification of critical perturbing stimuli via mixed-integer optimal control, Phys. Rev. Lett., 95, 108303 (2005)