Specific external forcing of spatiotemporal dynamics in reaction-diffusion systems.
Self-organization behavior and in particular pattern forming spatiotemporal dynamics play an important role in far from equilibrium chemical and biochemical systems. Specific external forcing and control of self-organizing processes might be of great benefit in various applications ranging from technical systems to modern biomedical research. We demonstrate that in a cellular chemotaxis system modeled by one-dimensional reaction-diffusion equations particular forms of spatiotemporal dynamics can be induced and stabilized by controlling spatially distributed influx patterns of a chemical species as a function of time. In our model study we show that a propagating wave with certain shape and velocity and static symmetrical and asymmetrical patterns can be forced and manipulated by numerically computing open-loop optimal influx controls.
Lebiedz
Dirk
D
Interdisciplinary Center for Scientific Computing, Im Neuenheimer Feld 368, D-69120 Heidelberg, Germany. lebiedz@iwr.uni-heidelberg.de
Brandt-Pollmann
Ulrich
U
D001703:Biophysics / Q000379:methods*; D004058:Diffusion; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D013597:Systems Analysis; D013598:Systems Theory; D013997:Time Factors