Spin Dephasing in Krogh's Capillary Model of the Myocardium

Abstract

The relation between the parameters of the microscopic structure of the myocardium and the spin dephasing is analyzed. The microscopic structure of the myocardium is described in terms of Krogh's capillary model. In this model the myocardium is reduced to a single capillary which is surrounded by a concentric tissue cylinder. In the tissue cylinder the dephasing and diffusion process occurs. Mathematically the dephasing process is described by the Bloch-Torrey-equation. Experimentally the Signal-time-decay was measured using a PRESS-sequence and a gradient-echo-sequence. Using the methods provided in this work, the relation between the capillary radius and the measured free induction decay can be given.