Annihilation of limit-cycle oscillations by identification of critical perturbing stimuli via mixed-integer optimal
1Interdisciplinary Center for Scientific Computing, Heidelberg, Germany. iebiedz@iwr.uni-heidelberg.de
Abstract:
We present a novel model-based mixed-integer optimal control method to automatically identify the strength and timing of critical external stimuli leading to the transient annihilation of limit-cycle oscillators. Biochemical oscillators of this type play a central role in regulating cellular rhythms. Their specific manipulation is a promising perspective to control biological functions by drugs and tailored treatment strategies. We demonstrate our new optimal control approach in an application to a biochemical model for oscillatory calcium signal transduction.
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