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This paper presents a three dimensional finite-difference time-domain (FDTD) scheme in cylindrical coordinates with an improved algorithm for accommodating the numerical singularity associated with the polar axis. The regularization of this singularity problem is entirely based on Ampere's law. The proposed algorithm has been detailed and verified against a problem with a known solution obtained from...
Diffusion MRI allows the obtaining of an approximation of the water displacement's probability density function (PDF) and orientation distribution function (ODF). Examples of techniques used in obtaining these distributions being q-space imaging (QSI), and q-ball imaging (QBI), respectively. Shannon information quantifies the discriminative power of a symbol based on its probability. We quantified...
Dynamic contrast-enhanced magnetic resonance imaging (DCE-MRI) is performed by obtaining sequential MRI images, before, during, and after the injection of a contrast agent. T1 weighted MR imaging is used to observe the exchange of contrast agent between the vascular space and extravascular extracellular space (EES), providing information about blood volume and microvascular permeability. Signal intensity...
This paper investigates the applicability of multilevel macroscopic models for simulating solid tumor growth in the invasive glioblastoma multiforme (GBM) case. The continuum case approach tumor model based on the diffusion reaction equation is evaluated on a pre-segmented tomographic atlas where all tissue properties are known a priori. The atlas is further registered on a real clinical case where...
Through the combination of intensity and fuzzy edge strength measures, a new partial volume averaging (PVA) quantification technique for FLAIR MRI with white matter lesions (WML) is developed. It is focused on an edge-based approach, which “probes” for PVA voxels via a global estimate for the change in the proportion of tissues α'. This estimate is refined according to a probabilistic threshold, and...
Magnetoacoustic tomography with magnetic induction (MAT-MI) is a recently introduced method for imaging electrical impedance properties, which integrates classic electrical impedance tomography and ultrasonic technique. In this paper, a new method is proposed to avoid the singularity of the divergence of Lorentz force on the interfaces between two kinds of medium. A two-dimensional model was used...
One of the major functions of the human brain is to mediate interactions with other people. Until recently, studying brain social interactions has not been possible due to the lack of measurable methods to observe two interacting minds simultaneously. We have developed a novel dual-head MRI coil that can scan two subjects' brains simultaneously while the subjects are socially interacting in one MRI...
The topologically correct and geometrically accurate reconstruction of the cerebral cortex from magnetic resonance (MR) images is an important step in quantitative analysis of the human brain structure, e.g. in cortical thickness measurement studies. Limited resolution of MR images, noise, intensity inhomogeneities, and partial volume effects can all contribute to geometrical inaccuracies and topological...
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