Based on the analytical methods and the computer programs presented in this book, all that may be needed to perform MRI tissue diagnosis is the availability of relaxometric data and simple computer program proficiency. These programs are easy to use, highly interactive and the data processing is fast and unambiguous. Laboratories (with or without sophisticated facilities) can perform computational magnetic resonance diagnosis with only T1 and T2 relaxation data. The results have motivated the use of data to produce data-driven predictions required for machine learning, artificial intelligence (AI) and deep learning for multidisciplinary and interdisciplinary research. Consequently, this book is intended to be very useful for students, scientists, engineers, the medical personnel and researchers who are interested in developing new concepts for deeper appreciation of computational magnetic resonance imaging for medical diagnosis, prognosis, therapy and management of tissue diseases.

Based on the analytical methods and the computer programs presented in this book, all that may be needed to perform MRI tissue diagnosis is the availability of relaxometric data and simple computer program proficiency. These programs are easy to use, highly interactive and the data processing is fast and unambiguous. Laboratories (with or without sophisticated facilities) can perform computational magnetic resonance diagnosis with only T1 and T2 relaxation data. The results have motivated the use of data to produce data-driven predictions required for machine learning, artificial intelligence (AI) and deep learning for multidisciplinary and interdisciplinary research. Consequently, this book is intended to be very useful for students, scientists, engineers, the medical personnel and researchers who are interested in developing new concepts for deeper appreciation of computational magnetic resonance imaging for medical diagnosis, prognosis, therapy and management of tissue diseases.

Various biological and physiological properties of living tissues can be studied by means of NMR techniques. However, the basic physics of extracting the relevant information from the solution of Bloch NMR equations to accurately monitor the clinical state of biological systems is still not fully understood. Presently, there are no simple closed solutions known to the Bloch equations for a general RF excitation. Therefore, an exponential type of solution of the equations presented in this study, which can be taken as definitions of new functions to be studied in detail, may reveal very crucial information from which various NMR flow parameters can be derived. In this study, we are concerned with finding a solution of the form to the Equations. We shall restrict our attention to cases where the radio frequency field can be treated by simple analytical methods. First, we shall derive a time-dependent second-order non-homogenous linear differential equation from the equations in term of the equilibrium magnetization Mo, RF B1(t) field, T1 and T2 relaxation times. Then, we would solve the differential equation for the cases when RF B1(t) = 0, and when RF B1(t) 0.