Ultrasound Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation

DOI10.1137/15M1026262zbMath1335.35291arXiv1506.06348MaRDI QIDQ2798651

Guillaume Bal, Francis J. Chung, John C. Schotland

Publication date: 13 April 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.06348

zbMATH Keywords

inverse problemcontrol theoryradiative transport equationhybrid inverse problemultrasound modulated bioluminescence tomography

Mathematics Subject Classification ID

Biomedical imaging and signal processing (92C55) Inverse problems for PDEs (35R30)

Related Items

Unique Reconstruction of the Heat-Reflection Indices at Solid Interfaces ⋮ A New Numerical Approach to Inverse Transport Equation with Error Analysis ⋮ Inverse Transport and Diffusion Problems in Photoacoustic Imaging with Nonlinear Absorption ⋮ Inverse Source Problem for Acoustically-Modulated Electromagnetic Waves ⋮ Inverse Transport and Acousto-Optic Imaging ⋮ Boundary control for transport equations ⋮ Radiative transport model for coherent acousto-optic tomography ⋮ On diffusive scaling in acousto-optic imaging ⋮ A Hybrid Inverse Problem in the Fluorescence Ultrasound Modulated Optical Tomography in the Diffusive Regime ⋮ Ultrasound modulated bioluminescence tomography with a single optical measurement ⋮ Instability of an Inverse Problem for the Stationary Radiative Transport Near the Diffusion Limit ⋮ Ultrasound Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation ⋮ Inverse transport problem in fluorescence ultrasound modulated optical tomography with angularly averaged measurements ⋮ Applications of kinetic tools to inverse transport problems ⋮ Solving inverse problems using data-driven models ⋮ An Acousto-electric Inverse Source Problem ⋮ Reconstructing the Thermal Phonon Transmission Coefficient at Solid Interfaces in the Phonon Transport Equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Recovery of the absorption coefficient in radiative transport from a single measurement
• Inverse diffusion problems with redundant internal information
• An inverse boundary value problem for the stationary transport equation
• Inverse diffusion from knowledge of power densities
• An inverse source problem in optical molecular imaging
• Ultrasound Modulated Bioluminescence Tomography and Controllability of the Radiative Transport Equation
• The Levenberg–Marquardt iteration for numerical inversion of the power density operator
• Reconstruction of Coefficients in Scalar Second-Order Elliptic Equations from Knowledge of Their Solutions
• Time reversal for radiative transport with applications to inverse and control problems
• 2D and 3D reconstructions in acousto-electric tomography
• Stabilizing inverse problems by internal data
• Imaging by Modification: Numerical Reconstruction of Local Conductivities from Corresponding Power Density Measurements
• Mathematics of thermoacoustic tomography
• Electrical Impedance Tomography by Elastic Deformation
• Calculating tissue shear modulus and pressure by 2D log-elastographic methods
• Inverse diffusion theory of photoacoustics
• Recovering the conductivity from a single measurement of interior data
• Impedance-Acoustic Tomography
• Inverse transport theory and applications
• Unique identifiability of elastic parameters from time-dependent interior displacement measurement
• Hybrid inverse problems and internal functionals
• AnL^ptheory for stationary radiative transfer
• Conductivity imaging with a single measurement of boundary and interior data
• Inverse Source Problems in Transport Equations