title: Annihilation of limit-cycle oscillations by identification of critical perturbing stimuli via mixed-integer optimal control.
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.
authors.affiliation: Interdisciplinary Center for Scientific Computing, Heidelberg, Germany. iebiedz@iwr.uni-heidelberg.de
authors.forename: D
authors.initials: D
authors.lastname: Lebiedz
authors.forename: S
authors.initials: S
authors.lastname: Sager
authors.forename: H G
authors.initials: HG
authors.lastname: Bock
authors.forename: P
authors.initials: P
authors.lastname: Lebiedz
mesh_terms: D000255:Adenosine Triphosphate / Q000378:metabolism; D000818:Animals; D001683:Biological Clocks; D001693:Biological Transport, Active; D020013:Calcium Signaling / Q000502:physiology*; D000252:Calcium-Transporting ATPases / Q000378:metabolism; D003593:Cytoplasm / Q000378:metabolism; D004721:Endoplasmic Reticulum / Q000378:metabolism; D022781:Hepatocytes / Q000378:metabolism; D006801:Humans; D008954:Models, Biological
chemical_list: D000255:Adenosine Triphosphate; D000252:Calcium-Transporting ATPases