Format

Send to

Choose Destination
Neuroimage. 2019 Jan 15;185:198-207. doi: 10.1016/j.neuroimage.2018.10.035. Epub 2018 Oct 15.

Rapid solution of the Bloch-Torrey equation in anisotropic tissue: Application to dynamic susceptibility contrast MRI of cerebral white matter.

Author information

1
UBC MRI Research Centre, University of British Columbia, 2221, Wesbrook Mall, Vancouver, BC, Canada; Department of Physics and Astronomy, University of British Columbia, 6224, Agricultural Road, Hennings Building, Room 325, Vancouver, BC, Canada. Electronic address: jdoucette@phas.ubc.ca.
2
UBC MRI Research Centre, University of British Columbia, 2221, Wesbrook Mall, Vancouver, BC, Canada; Department of Medical Biophysics, University of Toronto, Toronto, ON, Canada.
3
UBC MRI Research Centre, University of British Columbia, 2221, Wesbrook Mall, Vancouver, BC, Canada; Department of Pediatrics, University of British Columbia Faculty of Medicine, Rm 2D19, 4480, Oak Street, BC Children's Hospital, Vancouver, BC, Canada.
4
UBC MRI Research Centre, University of British Columbia, 2221, Wesbrook Mall, Vancouver, BC, Canada; Department of Physics and Astronomy, University of British Columbia, 6224, Agricultural Road, Hennings Building, Room 325, Vancouver, BC, Canada.
5
Department of Radiology and Hotchkiss Brain Institute, University of Calgary, Calgary, AB, Canada.
6
Center of Functionally Integrative Neuroscience (CFIN) and MINDLab, Department of Clinical Medicine, Aarhus University Hospital, Nørrebrogade 44, Building 10G, 5th floor, 8000, Aarhus C, Denmark.
7
UBC MRI Research Centre, University of British Columbia, 2221, Wesbrook Mall, Vancouver, BC, Canada; Department of Physics and Astronomy, University of British Columbia, 6224, Agricultural Road, Hennings Building, Room 325, Vancouver, BC, Canada; Department of Pediatrics, University of British Columbia Faculty of Medicine, Rm 2D19, 4480, Oak Street, BC Children's Hospital, Vancouver, BC, Canada.

Abstract

Blood vessel related magnetic resonance imaging (MRI) contrast provides a window into the brain's metabolism and function. Here, we show that the spin echo dynamic susceptibility contrast (DSC) MRI signal of the brain's white matter (WM) strongly depends on the angle between WM tracts and the main magnetic field. The apparent cerebral blood flow and volume are 20% larger in fibres perpendicular to the main magnetic field compared to parallel fibres. We present a rapid numerical framework for the solution of the Bloch-Torrey equation that allows us to explore the isotropic and anisotropic components of the vascular tree. By fitting the simulated spin echo DSC signal to the measured data, we show that half of the WM vascular volume is comprised of vessels running in parallel with WM fibre tracts. The WM blood volume corresponding to the best fit to the experimental data was 2.82%, which is close to the PET gold standard of 2.6%.

KEYWORDS:

Bloch-torrey equation; Brain perfusion; Cerebral blood flow; Cerebral blood volume; Diffusion; Functional MRI; Tissue anisotropy

[Indexed for MEDLINE]

Supplemental Content

Full text links

Icon for Elsevier Science
Loading ...
Support Center