Theory of heterogeneous relaxation in compartmentalized tissues

Daniel Barsky, Benno Pütz, Klaus Schulten

Research output: Contribution to journalArticle

Abstract

A new model of compartmentalized relaxation that-which occurs for spins (protons) exchanging between compartments of different relaxation rates-is presented. This model generalizes previous ones by allowing spatially dependent relaxation within compartments. Solutions for the diffusion-Bloch equations are found via an efficient numerical technique known as the generalized moment expansion, and they agree well with the solutions to the standard two-site exchange equations (TSEE) for many typical situations. Specific models are developed for liposomes, red blood cells, capillaries, and arteries with respect to applied contrast agents. A parameter derived from tissue characteristics is introduced to predict the nature of the solutions. A new method is proposed for using contrast agents to detect capillaries, which exploits their high surface-to-volume ratio relative to the other elements of the vasculature.

Original languageEnglish (US)
Pages (from-to)666-675
Number of pages10
JournalMagnetic Resonance in Medicine
Volume37
Issue number5
DOIs
StatePublished - May 1997

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Contrast Media
Liposomes
Protons
Arteries
Erythrocytes

Keywords

  • capillary deletion
  • contrast agents
  • generalized moment expansion
  • two-site exchange

ASJC Scopus subject areas

  • Radiology Nuclear Medicine and imaging
  • Radiological and Ultrasound Technology

Cite this

Theory of heterogeneous relaxation in compartmentalized tissues. / Barsky, Daniel; Pütz, Benno; Schulten, Klaus.

In: Magnetic Resonance in Medicine, Vol. 37, No. 5, 05.1997, p. 666-675.

Research output: Contribution to journalArticle

Barsky, Daniel ; Pütz, Benno ; Schulten, Klaus. / Theory of heterogeneous relaxation in compartmentalized tissues. In: Magnetic Resonance in Medicine. 1997 ; Vol. 37, No. 5. pp. 666-675.
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