Dresden 2017 – wissenschaftliches Programm

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BP: Fachverband Biologische Physik

BP 29: Posters - Multi-Cellular Systems

BP 29.6: Poster

Dienstag, 21. März 2017, 14:00–16:00, P2-EG

Controllability of discrete pattern formation by local inputs — •Stephan Kremser¹, Tiago Ramalho¹, Hao Wu², and Ulrich Gerland¹ — ¹Physics of Complex Biosystems, Physics Department, Technical University of Munich, James-Franck-Str. 1, 85748 Garching, Germany — ²LOEWE Zentrum für Synthetische Mikrobiologie, Philipps-University-Marburg, Hans-Meerwein-Str. 6, 35043 Marburg, Germany

Controllability is a fruitful concept to explore the extent to which a dynamical system can be steered by external inputs or internal feedback signals. Although it has been applied to a diverse range of problems in science and engineering, the controllability of a large class of dynamical systems, those that describe pattern formation processes, is not well understood, despite the fundamental role of controled pattern formation in biology and technology. Here, we propose a minimal system for studying the control of discrete patterning, based on a one-dimensional cellular automaton model, which has only a finite set of possible update rules that specify its dynamics. The control signals are given by individual cells that are located either within the system or at its boundary. We consider two different control schemes and determine the extent to which the pattern formation process is controllable under a given control scheme.