Voxel magnetic field disturbance from remote vasculature in BOLD fMRI

Zikuan Chen, Zeyuan Chen, Vince Calhoun

Research output: Chapter in Book/Report/Conference proceedingConference contribution


The mechanism of blood oxygenation-level dependent (BOLD) functional magnetic resonance imaging (fMRI) lies in the detection of blood-induced magnetic field disturbance during brain activity. A magnetic dipole induces a magnetic field in 3D space, which is represented by a 3D kernel that shows orientation-dependent decay in space (with a radial distant decay factor of 1/r3), bipolar values, and revolution symmetry. By representing the intravascular blood space with a pack of magnetic dipoles, we can use the 3D kernel to calculate the BOLD fieldmap by a 3D convolution. In our implementation, a vasculature-laden voxel of interest (VOI) is represented by a matrix at a grid resolution(~1micron), and the intravascular space is filled with macroscopic blood magnetic dipoles (each is defined for a matrix element sitting in the blood space). Based on the magnetic dipole model of blood magnetization and the convolution algorithm, we calculate the effect of exterior vasculature (from nearest neighborhood as well as from farther or remote surrounding) on the BOLD fieldmap at the VOI. Our results show that only vessels at the VOI boundary region impose a noticeable influence, and this effect increases slightly with vessel size. The effect of remote vasculature (sitting in voxels outside the nearest neighborhood) is ignorable. We also discuss the case of asymmetrical surroundings.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2011
Subtitle of host publicationPhysics of Medical Imaging
StatePublished - May 13 2011
Externally publishedYes
EventMedical Imaging 2011: Physics of Medical Imaging - Lake Buena Vista, FL, United States
Duration: Feb 13 2011Feb 17 2011

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
ISSN (Print)1605-7422


OtherMedical Imaging 2011: Physics of Medical Imaging
Country/TerritoryUnited States
CityLake Buena Vista, FL


  • 3D convolution
  • magnetic dipole
  • neighborhood
  • remote vasculature
  • surrounding vasculature

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Biomaterials
  • Radiology Nuclear Medicine and imaging


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