𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Theory of heterogeneous relaxation in compartmentalized tissues

✍ Scribed by Daniel Barsky; Benno Pütz; Klaus Schulten

Book ID
102956135
Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
925 KB
Volume
37
Category
Article
ISSN
0740-3194

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✦ Synopsis

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.

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