Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach

Karl Kunisch; Konstantin Pieper; Armin Rund

doi:10.1051/m2an/2015048

Time optimal control for a reaction diffusion system arising in cardiac electrophysiology – a monolithic approach

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an/2015048 ◽

2016 ◽

Vol 50 (2) ◽

pp. 381-414 ◽

Cited By ~ 9

Author(s):

Karl Kunisch ◽

Konstantin Pieper ◽

Armin Rund

Keyword(s):

Optimal Control ◽

Cardiac Electrophysiology ◽

Reaction Diffusion ◽

Time Optimal Control ◽

Reaction Diffusion System ◽

Diffusion System ◽

Time Optimal ◽

Monolithic Approach

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An Optimal Control Problem for a Predator-Prey Reaction-Diffusion System

Mathematical Modelling of Natural Phenomena ◽

10.1051/mmnp/20105609 ◽

2010 ◽

Vol 5 (6) ◽

pp. 180-195 ◽

Cited By ~ 1

Author(s):

N. C. Apreutesei

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Predator Prey

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External optimal control of self-organisation dynamics in a chemotaxis reaction diffusion system

Systems Biology ◽

10.1049/sb:20045022 ◽

2004 ◽

Vol 1 (2) ◽

pp. 222-229 ◽

Cited By ~ 15

Author(s):

D. Lebiedz ◽

H. Maurer

Keyword(s):

Optimal Control ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Self Organisation

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Optimal Control Problem for a Reaction-Diffusion System of Three Populations

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.281020.290421 ◽

2021 ◽

Vol 11 (4) ◽

pp. 808-828

Author(s):

global sci

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System

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Time optimal control of the monodomain model in cardiac electrophysiology

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxv010 ◽

2015 ◽

Vol 80 (6) ◽

pp. 1664-1683 ◽

Cited By ~ 6

Author(s):

K. Kunisch ◽

A. Rund

Keyword(s):

Optimal Control ◽

Cardiac Electrophysiology ◽

Time Optimal Control ◽

Monodomain Model ◽

Time Optimal

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Optimal Control Problem for Cancer Invasion Reaction–Diffusion System

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2018.1487453 ◽

2018 ◽

Vol 39 (14) ◽

pp. 1574-1593

Author(s):

Lingeshwaran Shangerganesh ◽

Puthur Thangaraj Sowndarrajan

Keyword(s):

Optimal Control ◽

Optimal Control Problem ◽

Control Problem ◽

Reaction Diffusion ◽

Cancer Invasion ◽

Reaction Diffusion System ◽

Diffusion System

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Optimal control for nonlocal reaction‐diffusion system describing calcium dynamics in cardiac cell

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7071 ◽

2020 ◽

Author(s):

Mostafa Bendahmane ◽

Elmahdi Erraji ◽

Fahd Karami

Keyword(s):

Optimal Control ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Calcium Dynamics ◽

Cardiac Cell ◽

Nonlocal Reaction

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Parametric sensitivity analysis in optimal control of a reaction-diffusion system – part II: practical methods and examples

Optimization Methods and Software ◽

10.1080/10556780410001654250 ◽

2004 ◽

Vol 19 (2) ◽

pp. 217-242 ◽

Cited By ~ 7

Author(s):

Roland Griesse

Keyword(s):

Optimal Control ◽

Sensitivity Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Parametric Sensitivity ◽

Parametric Sensitivity Analysis ◽

System Part

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Parametric Sensitivity Analysis in Optimal Control of a Reaction Diffusion System. I. Solution Differentiability

Numerical Functional Analysis and Optimization ◽

10.1081/nfa-120034120 ◽

2004 ◽

Vol 25 (1-2) ◽

pp. 93-117 ◽

Cited By ~ 13

Author(s):

Roland Griesse

Keyword(s):

Optimal Control ◽

Sensitivity Analysis ◽

Reaction Diffusion ◽

Reaction Diffusion System ◽

Diffusion System ◽

Parametric Sensitivity ◽

Parametric Sensitivity Analysis ◽

Solution Differentiability

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Stability and Time-Optimal Control of Hereditary Systems

10.1016/s0076-5392(09)x6009-1 ◽

1992 ◽

Keyword(s):

Optimal Control ◽

Time Optimal Control ◽

Time Optimal

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Hierarchical time-optimal control of a continuous copolymerization reactor during start-up or grade change operation using genetic algorithms

Computers & Chemical Engineering ◽

10.1016/s0098-1354(97)00186-5 ◽

1997 ◽

Vol 21 (1-2) ◽

pp. S1037-S1042

Author(s):

H Moo

Keyword(s):

Optimal Control ◽

Genetic Algorithms ◽

Time Optimal Control ◽

Grade Change ◽

Start Up ◽

Time Optimal ◽

Change Operation ◽

Grade Change Operation

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