http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/146 2026-05-02T23:45:39Z 2026-05-02T23:45:39Z Mohammed, Isah Kimpa Suleiman, Taufiq http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/27584 2024-04-28T12:59:18Z 2021-01-01T00:00:00Z

Title: Introduction to Mechanics Authors: Mohammed, Isah Kimpa; Suleiman, Taufiq

2021-01-01T00:00:00Z Dada, Oluwaseun Michael http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/17282 2023-01-16T02:08:46Z 2010-06-24T00:00:00Z

Title: Analytical Solution of the Time-Dependent Bloch NMR Flow Equations for General Fluid Flow Analysis Authors: Dada, Oluwaseun Michael Abstract: Various biological and physiological properties of living tissues can be studied by means of nuclear magnetic resonance (NMR) techniques. However, the basic physics of extracting the relevant information from the solution of Bloch nuclear magnetic resonance (NMR) equations to accurately monitor the clinical state of biological systems is till 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 Bloch NMR 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. Fortunately, many of the most important but hidden applications of blood flow parameter can be revealed without too much difficulty if appropriate mathematical techniques are used to solve the equations. In this study, we are concerned with finding a solution of the form e􀁏x􀀎􀁐y to the Bloch NMR flow 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 Bloch NMR 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. This would allow us to obtain the intrinsic or natural behaviour of the NMR system as well as the response of the system under investigation to a specific influence of external force to the system. Specifically, we consider the case where the RF B1 varies harmonically with time. Here, the complete motion of the system consists of two parts. The first part describes the motion of the transverse magnetization My in the absence of RF B1(t) field (that is, B1(t) = 0). The second part of the motion is described by the particular integral of the derived differential equation which does not decay with time but continues its periodic behaviour indefinitely. Description: https://www.amazon.com/ANALYTICAL-SOLUTION-BLOCH-EQUATIONS-FLUID/dp/3639255828

2010-06-24T00:00:00Z Awojoyogbe, Omotayo Bamidele Dada, Oluwaseun Michael http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/17281 2023-01-16T01:13:54Z 2011-10-25T00:00:00Z

Title: Fluid Transport: Theory, Dynamics and Applications Authors: Awojoyogbe, Omotayo Bamidele; Dada, Oluwaseun Michael Abstract: During the past decade, major breakthroughs in magnetic resonance imaging (MRI) quality were made by means of great improvement in scanner hardware and pulse sequences. Some advanced MRI techniques have truly revolutionized the detection of disease states and MRI can now-within a few minutes-acquire important quantitative information non-invasively from an individual in any plane or volume at comparatively high resolution. However, the very basic physics of this promising technological breakthrough is not well understood. Parameters that are measured from time to time in advanced MRI seem to be logically and functionally related but the theoretical facility to optimally explore them is still missing. In a single experimental investigation, for example, few of huge amount of information available are effectively used. This study intends to provide a very straightforward theoretical background for measuring diffusion of water protons and specific chemicals encountered in most common advanced MRI methods including diffusion MRI, perfusion MRI, functional MRI. Description: https://www.amazon.com/Fluid-Transport-Applications-Engineering-Techniques/dp/1611223172

2011-10-25T00:00:00Z Awojoyogbe, Omotayo Bamidele Dada, Oluwaseun Michael Faromika, Oluwayomi Peace Aweda, Adebayo Moses Fuwape, Ibiyinka Agboola http://irepo.futminna.edu.ng:8080/jspui/handle/123456789/17279 2023-01-16T00:36:54Z 2013-06-19T00:00:00Z

Title: Mathematics, Game Theory and Algebra Compedium, Volume 3 Authors: Awojoyogbe, Omotayo Bamidele; Dada, Oluwaseun Michael; Faromika, Oluwayomi Peace; Aweda, Adebayo Moses; Fuwape, Ibiyinka Agboola Abstract: During the past decade, major breakthroughs in magnetic resonance imaging (MRI) quality were made by means of great improvement in scanner hardware and pulse sequences. Some advanced MRI techniques have truly revolutionized the detection of disease states and MRI can now-within a few minutes-acquire important quantitative information non-invasively from an individual in any plane or volume at comparatively high resolution. However, the very basic physics of this promising technological breakthrough is not well understood. Parameters that are measured from time to time in advanced MRI seem to be logically and functionally related but the theoretical facility to optimally explore them is still missing. In a single experimental investigation, for example, few of huge amount of information available are effectively used. Parts I and II of this study intend to provide a very straightforward theoretical background for measuring diffusion of water protons and specific chemicals encountered in most common advanced MRI methods including diffusion MRI, perfusion MRI, functional MRI. Description: https://www.amazon.com.au/Mathematics-Game-Theory-Algebra-Compendium/dp/1622577493

2013-06-19T00:00:00Z