5 citations · 12 across the 7 of their papers we have counts for
7 papers · 1 filter
Well-posedness of a Pulsed Electric Field Model in Biological Media and its Finite Element Approximation
Habib Ammari, Dehan Chen, Jun Zou
This work aims at providing a mathematical and numerical framework for the analysis on the effects of pulsed electric fields on biological media. Biological tissues and cell suspen…
Magnetic resonance-based reconstruction method of conductivity and permittivity distributions at the Larmor frequency
Habib Ammari, Hyeuknam Kwon, Yoonseop Lee +2
Magnetic resonance electrical property tomography is a recent medical imaging modality for visualizing the electrical tissue properties of the human body using radio-frequency magn…
Stability Analysis for Magnetic Resonance Elastography
Habib Ammari, Alden Waters, Hai Zhang
We consider the inverse problem of finding unknown elastic parameters from internal measurements of displacement fields for tissues. The measurements are made on the entirety of a…
Electrical impedance tomography-based pressure-sensing using conductive membrane
Habib Ammari, Kyungkeun Kang, Kyounghun Lee +1
This paper presents a mathematical framework for a flexible pressure-sensor model using electrical impedance tomography (EIT). When pressure is applied to a conductive membrane pat…
Spectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
When perfectly conducting or insulating inclusions are closely located, stress which is the gradient of the solution to the conductivity equation can be arbitrarily large as the di…
Stability estimates for an inverse scattering problem at high frequencies
Habib Ammari, Hajer Bahouri, David Dos Santos Ferreira +1
We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the l…