Analytical solution of the Bloch-McConnell equations for steady-state CEST Z-spectra.

ABSTRACT:

Purpose

To derive an analytic expression for the steady-state Chemical Exchange Saturation Transfer (CEST) Z-spectra of a two-pool proton-exchanging system, facilitating simulations and expedited fitting of steady-state Z-spectra.

Method

The analytical expression is derived by directly solving the set of Bloch-McConnell differential equations in matrix form for a two-pool exchanging system, determining water magnetization under steady-state saturation across the entire Z-spectrum. The analytic solution is compared and validated against the numerical solution of Bloch-McConnell equations under prolonged saturation. The study also explores the line shape of a CEST peak, interpolating under-sampled Z-spectra, and Z-spectral fitting in the presence of noise.

Results

The d

SUBMITTER: Shaghaghi M 

PROVIDER: S-EPMC11463197 | biostudies-literature | 2024 Jun

REPOSITORIES: biostudies-literature