Summary

This document provides an overview of the principles of MRI physics, focusing on the behavior of hydrogen nuclei and their interactions with magnetic fields. It details polarization, precession, and the relationship between magnetic field strength and frequency. The document also explains the concept of free induction decay.

Full Transcript

PRELIM – MRI OVERVIEW OF MRI PHYSICS  Magnetic Resonance Imaging (MRI) utilizes the POLARIZATION behavior of hydrogen nuclei, or protons, in the  Though only a fraction of proton dipoles a...

PRELIM – MRI OVERVIEW OF MRI PHYSICS  Magnetic Resonance Imaging (MRI) utilizes the POLARIZATION behavior of hydrogen nuclei, or protons, in the  Though only a fraction of proton dipoles align human body. with the magnetic field, the patient becomes  Hydrogen, comprising 60% of body atoms, is polarized. ideal for MRI due to its magnetic properties  Polarized patients exhibit north and south PROTON BEHAVIOR magnetic poles.  Hydrogen nuclei behave like tiny bar magnets. PRECESSION o Hydrogen - Single charged spinning  Precession is a phenomenon observed when a nucleon patient is placed in a static magnetic field  Each hydrogen nucleus exhibits magnetism during MRI. due to its angular momentum and magnetic  Similar to a gyroscope on Earth, precession moment. involves a spinning motion accompanied by a MAGNETIC ALIGNMENT wobbling motion.  Before entering the magnetic field (B0), proton PRECESSION EXPLANATION: magnetic moments are randomly oriented.  Precession results from the interaction  Upon exposure to the B0 magnetic field, some between the spinning mass of the gyroscope proton magnetic moments align with it. and the Earth's gravitational field. NET MAGNETIZATION  The spinning gyroscope creates angular momentum, interacting with Earth's angular  The alignment of proton magnetic moments momentum, causing precessional motion. creates net magnetization in the patient.  The Z-axis coincides with the axis of the static PRECESSION MRI magnetic field (B0) in MRI systems.  In MRI, the spinning magnetic moment of  Net magnetization (MZ) represents the protons experiences precession in the alignment of proton magnetic dipoles along presence of a static magnetic field (B0). the Z-axis after polarization in the static o The gyroscope precesses in the magnetic field (B0). presence of gravity; the proton precesses in the presence of B0.  This precession phenomenon is crucial for generating MRI signals used in imaging. RELATIONSHIP BETWEEN MAGNETIC FIELD STRENGTH AND PRECESSIONAL FREQUENCY  The Larmor equation is fundamental in MRI, MAGNETIC FIELD STRENGTH relating the strength of the static magnetic  The strength of the B0 magnetic field is field (B0) to the precessional frequency (f). measured in tesla (T).  There is no direct relationship between magnetic field strength and ionizing radiation. PRELIM – MRI IMPORTANCE OF GYROMAGNETIC RATIO of the protons, is said to “flip” toward the negative Z direction, while still precessing  Gyromagnetic ratio is akin to the about the Z-axis. disintegration constant in radioactive decay,  This precession is always perpendicular to Z, in unique to each nuclear species. the XY plane, and if initially all of the spins are  It determines the precessional frequency and aligned along the same direction in the XY thus the resonance frequency in MRI. plane UNITS OF GYROMAGNETIC RATIO  This is called the phase coherence of spins o Enhancing MR signal generation  The gyromagnetic ratio is expressed in during imaging. megahertz per tesla (MHz/T). o For example, hydrogen has a gyromagnetic ratio of approximately 42.6 MHz/T. PRACTICAL APPLICATION  The Larmor frequency, also known as the precessional frequency, is determined by the gyromagnetic ratio and magnetic field strength. FREE INDUCTION DECAY  For hydrogen at 1 Tesla, the precessional frequency is 42 MHz; at 1.5 Tesla, it is 63 MHz.  When RF is pulsed into the patient, protons flip, giving up energy while precessing. Understanding Free Induction Decay in MRI: Free  Then, as a group, the net magnetization grows Induction Decay (FID) is a crucial aspect of MRI, to its normal state in the positive Z direction. representing the emission of radio signals by the net o Normal state = equilibrium magnetization in the patient. magnetization state RF PULSE  With any moving magnetic field, an electric current can be induced in a properly designed  An RF pulse, emitted at the Larmor frequency, coil. is transmitted into the patient via an RF coil to  The induced current in the RF coil generates induce energy transfer and initiate imaging. the FID signal, which decreases over time due RESONANCE IN MRI to dephasing of proton spins.  The RF pulse must match the resonant RELAXATION TIMES frequency of the precessing hydrogen nuclei  Two relaxation times exist in MRI: T1 and T2. for efficient energy transfer and imaging to  T2, or transverse relaxation time, describes the occur. decay of phase coherence and the FID signal  Resonance is fundamental to MRI, analogous over time. to the resonance of musical instruments or o Similar to the decay constant that structural elements. describes radioactive decay PHASE COHERENCE  The other is the T1 relaxation time that describes the rate of the magnetization  When the RF signal is pulsed at resonance into increasing back to equilibrium. the patient, the energy state of many protons is changed. The net magnetization, due to all

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