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Inverse Problems and Medical Imaging

Call for Papers

Many physical and engineering phenomena are modeled by partial differential equations and, traditionally, the major concern is the efficient solution of partial differential equations. An inverse problem arises whenever one seeks material properties, domain of interest, initial and/or boundary conditions, anomaly inside a known region, and source location, from (partial) knowledge of one or multiple solutions of the equation. Inverse problems have been applied to many areas including geophysical inspection, remote sensing, and nondestructive evaluation. The focus of this special issue is on medical imaging, which is one of the most important applications of inverse problems. The objective of this special issue is to report latest achievements in mathematical modeling, theoretical and numerical analysis for inverse problems, and diverse applications in medical imaging.

We cordially invite researchers to submit original research articles as well as review articles on various inverse problems and medical imaging.

Potential topics include, but are not limited to:

  • Mathematical modeling for inverse problems
  • Theoretical analysis for inverse problems including existence, uniqueness, and stability of inverse problems
  • Nonuniqueness of inverse problems and cloaking phenomena
  • Numerical analysis for inverse problems including regularization and optimization
  • Iterative algorithms and direct methods for inverse problems
  • Medical imaging modalities including electrical impedance tomography (EIT), diffuse optical tomography (DOT), electroencephalogram (EEG), magnetic resonance imaging (MRI), computed tomography (CT)
Manuscript DueFriday, 31 October 2014
First Round of ReviewsFriday, 23 January 2015
Publication DateFriday, 20 March 2015

Lead Guest Editor

  • Kiwoon Kwon, Dongguk University, Seoul, Republic of Korea

Guest Editors