Analytical Theory of Susceptibility Induced NMR Signal Dephasing in a Cerebrovascular Network

V. G. Kiselev; S. Posse

doi:10.1103/PhysRevLett.81.5696

Analytical Theory of Susceptibility Induced NMR Signal Dephasing in a Cerebrovascular Network

V. G. Kiselev and S. Posse

Phys. Rev. Lett. 81, 5696 – Published 21 December 1998; Erratum Phys. Rev. Lett. 83, 1487 (1999)

Abstract

A deterministic analytical model which describes the time course of NMR signal relaxation in media where the magnetic field is perturbed by stochastic low-density inclusions having one-dimensional extent is developed. Both static and diffusion dephasing mechanisms are included. The model is applied to a simulation of a living tissue where the inclusions are identified with blood microvessels. This application is a ground for quantitation of signal changes during brain activation measured by functional magnetic resonance imaging. The results are consistent with previous Monte Carlo simulations.