AuthorsH. Finsberg, G. Balaban, M. E. Rognes, J. Sundnes and S. Wall
TitleOptimization of a Spatially Varying Cardiac Contraction parameter using the Adjoint Method
AfilliationScientific Computing, Center for Biomedical Computing (SFF), Scientific Computing, Scientific Computing
Project(s)Center for Biomedical Computing (SFF)
StatusPublished
Publication TypeProceedings, non-refereed
Year of Publication2016
Conference NameFEniCS'16
KeywordsAdjoint Method, Cardiac Mechanics, parameter estimation, PDE-constrained optimization
Abstract

A cardiac computational model is constrained using clinical measurements such as pressure, volume and regional strain. The problem is formulated as a PDE-constrained optimisation problem where the objective functional represents the misfit between measured and simulated data. The control parameter for the active phase is a spatially varying contraction parameter defined at every vertex in the mesh. This makes gradient calculations using the adjoint approach computationally advantageous over standard finite difference approximations.