Effect of Transverse Relaxation Rate on Time - Dependent Magnetic Resonance Imaging. African Journal of Physical Sciences

Abstract

Magnetic Resonance Imaging (MRI) developed from Nuclear Magnetic Resonance involves a non invasive medical approach towards studying the anatomy, physiology and pathology of human living tissues. In this study, attempt is made at expressing mathematically the processes involved in MRI for diagnosis and possible treatment of diseases within the human body. A time - dependent second order non-homogenous linear equation from the Bloch (NMR) equations is evolved. The parameters in the equations are equilibrium magnetization M_0, radio frequency rfB_1 (x,t) field, gyro-magnetic ratio of blood spin γ as well as T_1 and T_2 relaxation times. The solution obtained will be examined when the system is under an influence of a driving force, F_0 Coswt and γB_1 (t) = Coswt is the radio frequency field. However, for the purpose of this study, only T_2 relaxation times are varied and analyzed for the measurement of the signals in relation to its effect on human anatomy.