Figure - PMC

Skip to main content

An official website of the United States government

Here's how you know

Here's how you know

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you've safely connected to the .gov website. Share sensitive information only on official, secure websites.

View full-text article in PMC

. 2017 Dec 12;7:17435. doi: 10.1038/s41598-017-17582-w

Search in PMC
Search in PubMed
View in NLM Catalog
Add to search

© The Author(s) 2017

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

PMC Copyright notice

Multicompartment models of agar gel phantom and brain. (a) Cylindrical phantom with 140 mM sodium chloride (NaCl) in variably concentrated concentrically disposed agar gel compartments. In cross section: 0% agar in the center, 8% agar in the inner ring, and 4% agar in the outer ring. Sodium ions in the 8%, 4%, and 0% agar gel compartments are considered to show similar relaxation characteristics to ²³Na in intracellular, extracellular, and CSF compartments in brain, respectively (matching colors). (b) Four-compartment model for brain tissue. ²³Na ions are present in the intracellular (1), extracellular (2) and CSF (3) compartments of the human brain. Sodium signal from the solid compartment (4) is negligible. Notations are, for j = 1 to 4: C _j = sodium concentrations, V _j = volumes, α _j = volume fractions, w = water fraction. Assumptions for brain model: w = α ₁ + α ₂ + α ₃, with w = 0.8, total volume V _t = V ₁ + V ₂ + V ₃ + V ₄, and C ₂ = C ₃ = 140 mM. Unknown values of interest are in red: C ₁, α ₁, α ₂, and α ₃.