Annihilation of calcium oscillations with PLC activation inhibition
|Annihilation of calcium oscillations with PLC activation inhibition|
|Discrete control functions:||2|
|Interior point equalities:||4|
This control problem is closely related to Annihilation of calcium oscillations. The only difference is an additional control function, the inhibition of PLC activation. We state only the differences in this article.
For almost everywhere the mixed-integer optimal control problem is given by
Note that we write instead of and have an additional control function . The regularization parameters are set to .
A solution for this problem is described in [Lebiedz2005]Author: Lebiedz, D.; Sager, S.; Bock, H.G.; Lebiedz, P.
Journal: Physical Review Letters
Title: Annihilation of limit cycle oscillations by identification of critical phase resetting stimuli via mixed-integer optimal control methods
. A local minimum that is actually slightly worse than the solution provided for only one control, is shown in the next plots.
|[Lebiedz2005]||Lebiedz, D.; Sager, S.; Bock, H.G.; Lebiedz, P. (2005): Annihilation of limit cycle oscillations by identification of critical phase resetting stimuli via mixed-integer optimal control methods. Physical Review Letters, 95, 108303|