An inverse problem for a semilinear parabolic equation arising from cardiac electrophysiology
From MaRDI portal
Publication:4592692
DOI10.1088/1361-6420/aa8737zbMath1376.92015OpenAlexW2749975498MaRDI QIDQ4592692
Luca Ratti, Andrea Manzoni, Cecilia Cavaterra, Elena Beretta, M. Christina Cerutti
Publication date: 8 November 2017
Published in: Inverse Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6420/aa8737
Inverse problems for PDEs (35R30) Physiology (general) (92C30) Semilinear parabolic equations (35K58)
Related Items
Analysis of the heart-torso conductivity parameters recovery inverse problem in cardiac electrophysiology ECG modelling, On the determination of ischemic regions in the monodomain model of cardiac electrophysiology from boundary measurements, On the identification of multiple space dependent ionic parameters in cardiac electrophysiology modelling, Pollution sources reconstruction based on the topological derivative method, Experimental validation of a variational data assimilation procedure for estimating space-dependent cardiac conductivities, Singular geometry perturbation based method for shape-topology optimization in unsteady Stokes flow, Consistency of a phase field regularisation for an inverse problem governed by a quasilinear Maxwell system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Topological derivative strategy for one-step iteration imaging of arbitrary shaped thin, curve-like electromagnetic inclusions
- On the use of the resting potential and level set methods for identifying ischemic heart disease: An inverse problem
- Analysis of a class of degenerate reaction-diffusion systems and the bidomain model of cardiac tissue
- Reduced order model in cardiac electrophysiology with approximated Lax pairs
- Decoupled time-marching schemes in computational cardiac electrophysiology and ECG numerical simulation
- Existence and uniqueness of the solution for the bidomain model used in cardiac electrophysiology
- On uniqueness in inverse problems for semilinear parabolic equations
- Remarks on Hölder continuity for parabolic equations and convergence to global attractors
- Thermodynamically consistent orthotropic activation model capturing ventricular systolic wall thickening in cardiac electromechanics
- Identification of small inhomogeneities of extreme conductivity by boundary measurements: A theorem on continuous dependence
- Reconstruction of small inhomogeneities from boundary measurements
- Shape reconstruction of cardiac ischemia from non-contact intracardiac recordings: a model study
- Topological and shape gradient strategy for solving geometrical inverse problems
- Identifying a space dependent coefficient in a reaction-diffusion equation
- Integrated heart -- coupling multiscale and multiphysics models for the simulation of the cardiac function
- Mathematical cardiac electrophysiology
- An asymptotic formula for boundary potential perturbations in a semilinear elliptic equation related to cardiac electrophysiology
- A New Optimal Control Approach for the Reconstruction of Extended Inclusions
- Inverse boundary value problem for the heat equation with discontinuous coefficients
- Stability and Resolution Analysis for a Topological Derivative Based Imaging Functional
- A reconstruction algorithm based on topological gradient for an inverse problem related to a semilinear elliptic boundary value problem
- Stability analysis of the inverse transmembrane potential problem in electrocardiography
- Stable Determination of the Discontinuous Conductivity Coefficient of a Parabolic Equation
- Reconstruction of an unknown inclusion by thermography
- On Uniqueness of Recovery of the Discontinuous ConductivityCoefficient of a Parabolic Equation
- DYNAMICAL EFFECTS OF MYOCARDIAL ISCHEMIA IN ANISOTROPIC CARDIAC MODELS IN THREE DIMENSIONS
- A Coupled System of PDEs and ODEs Arising in Electrocardiograms Modeling
- Elliptic Partial Differential Equations of Second Order
- Identification of conductivity imperfections of small diameter by boundary measurements. Continuous dependence and computational reconstruction
- A general representation formula for boundary voltage perturbations caused by internal conductivity inhomogeneities of low volume fraction
- Convergence of the Galerkin approximation of a degenerate evolution problem in electrocardiology
- Large-scale parameter extraction in electrocardiology models through Born approximation
- Direct Algorithms for Thermal Imaging of Small Inclusions
- Computing the Electrical Activity in the Heart
- Inverse problems for partial differential equations
- Analytic semigroups and optimal regularity in parabolic problems
