Functional magnetic resonance imaging

Size: px
Start display at page:

Download "Functional magnetic resonance imaging"

Transcription

1 University of Ljubljana Faculty of Mathematics and Physics Department of Physics Seminar I b - 2nd year, Second cycle degree Functional magnetic resonance imaging Author: Patricia Cotič Supervisor: Assoc. prof. Igor Serša Ljubljana, May 2015 Abstract The seminar gives an introduction to functional magnetic resonance imaging (fmri) - a noninvasive technique that uses magnetic resonance imaging (MRI) to study brain activity. In the first part, a brief introduction to nuclear magnetic resonance as well as MRI principles is given. A more detail explanation is devoted to nuclear magnetic relaxation and basic pulse sequences as it is of great importance in fmri. Next, fmri based on blood oxygen level dependent signal (BOLD-fMRI) is presented. The focus is on the physiological basis of BOLD s response to neural activity and on echo planar imaging as an ultra-fast imaging technique used in fmri. Challenges that are currently being tackled in fmri are highlighted in the conclusions.

2 Contents 1 Introduction 2 2 The basis of NMR and MRI Nuclear magnetic resonance effect - RF absorption and emission Nuclear magnetic relaxation Basic pulse sequences in MRI The concept of spatial encoding in MRI and the MRI hardware Functional magnetic resonance imaging Image contrast in fmri - the BOLD contrast Brain physiology related to BOLD Echo planar imaging as an ultra-fast imaging technique Conclusion 11 References 12 1 Introduction Functional magnetic resonance imaging (fmri) is a noninvasive technique that uses magnetic resonance imaging (MRI) to study brain activity. Such as positron emission tomography (PET), fmri is based on the assumption that neuronal activity is linked to coupled cerebral metabolic and haemodynamic changes, i.e. changes in cellular energy production through glucose utilization, as well as changes in cerebral blood flow, blood volume and metabolic rate of oxygen [1]. Although relative changes between normal and stimulated brain activity may be captured from independent measure of these features (such as perfusion fmri with arterial spin labeling [2]), the most widely used fmri technique is based on the detection of BOLD (blood oxygen level dependent) signal. BOLD measures the relative concentration of oxygenated and deoxygenated blood on the basis of their different magnetic susceptibilities. As it is a complex measure of haemodynamic changes, BOLD-fMRI serves as an indirect measure of neural activity. The basis for BOLD-fMRI was founded by Ogawa et al. in 1990, following an experiment on rats which demonstrated that an in vivo change of blood oxygenation could be detected with MRI [3]. Their work was inspired by earlier findings of Pauling and Coryell in the 1930-ies, which showed that magnetic properties of haemoglobin depend on the binding of oxygen. Oxygenated haemoglobin (HbO 2 ) was found to be diamagnetic, whereas deoxygenated haemoglobin (Hb) 1 was strongly paramagnetic (spin S = 2 of the heme iron) and hence has a nonzero magnetic moment [4]. The introduction of BOLD signal in 1990 was followed by three pioneering works in 1992 using BOLD-fMRI on humans with Hb as an endogeneous MRI contrast agent (Bandettini et al., Kwong et al. and Ogawa et al.). Along with BOLD-fMRI, perfusion fmri was first demonstrated by Belliveau et al. using an exogeneous contrast agent injected into the blood stream (for a more detail history on fmri, see e.g. [2, 5]). Nowadays, BOLD-fMRI is widely used in clinical applications, such as preoperative functional mapping of brain regions to guide surgeons in preserving vital brain areas in e.g. epilepsy surgery, to detect brain lesions caused by diseases (e.g. epilepsy, multiple sclerosis, Alzheimer s disease), stroke, turmors, injury [6]. Basic research spans areas such as brain functional mapping to produce brain atlases [7], study of neurophysiological correlates to the BOLD effect [8], as well as the very recent study of brain functional connectivity [9]. 1 Throughout the text, Hb refers to deoxygenated haemoglobin. 2

3 2 The basis of NMR and MRI Despite the complexity of fmri alone, the method could not be made clear without the introduction of nuclear magnetic resonance (NMR) and MRI principles. They were set by Nobel Laureates Bloch and Purcell for their independent discovery of NMR principles in 1946, Lauterbur and Mansfield for the elucidation of image generation in MRI in 1973, as well as Ernst for the development of multi-dimensional NMR spectroscopy technique based on Fourier transform in 1975 [5, 8]. The following chapter aims in giving a very brief overview of those principles. 2.1 Nuclear magnetic resonance effect - RF absorption and emission A nucleus with a nonzero spin I is defined with a magnetic moment µ = γ I, where γ is the gyromagnetic ratio [10, 11]. In MRI and fmri, the nucleus being imaged is proton ( 1 H) present in water molecules of the tissue. 1 When the nucleus is placed in a stationary magnetic field ( B 0 = B 0 ê z ) the Zeeman interaction between the magnetic moment and magnetic field causes the energy of nuclear spin states to split according to m Ĥ m E m = = γ B 0 m I z m = γ B 0 m, where Ĥ = γ B 0I z refers to Hamiltonian describing Zeeman interaction. For proton with m = ±1/2, the corresponding energy states are E ± = 1 2 γ B 0 with an energy difference E = γ B 0 (here, subscripts + and - refer to m = 1/2 and m = 1/2, respectively). In thermal equilibrium, the population of energy states n + and n follows Boltzmann distribution with a small population bias towards the lower energy state, i.e. n + /n = e E/kT. This gives rise to a net macroscopic magnetization which is parallel to B 0 and of magnitude [2, 11] M = µ(n + n ) n + n 1 E kt B 0 T. The observation of M is a clear indicator of local proton density in the tissue. However, since only a time dependent change in magnetization produces a signal, M has to be perturbed from its equilibrium to experience a torque and start to precess about B 0 according to [10, 11] d M dt = M γ B 0. (2.1) The above equation describes the precession of M about the z-axis at a frequency called Larmor frequency, given by ω 0 = γb 0. According to quantum mechanics, the energy that is required to tilt M from equilibrium has to match the spin excitation energy E = ω 0 (the magnetic resonance effect). As Larmor frequency for proton is ω 0 /2π = 42.6 MHz (at B 0 = 1 T), spin excitation is performed with radio frequency (RF) pulses. In MRI, RF pulses are generated using an RF excitation coil that is oriented along x-direction and driven at ω 0 with a sinusoidal voltage. This generates a linearly 1 Other biological relevant nuclei such as 12 C and 16 O have zero spin, whereas their isotopes 13 C and 17 O, as well as 31 P with a nonzero zero spin constitute only a small percent of the human body mass. Moreover, the gyromagnetic ratio that defines the magnitude of the NMR signal is the largest for proton (γ = /Ts). 3

4 polarized time varying magnetic field B 1 (t) = 2B 1 cos ω 0 t ê x [10]. To visualize the precession of M in the (x, y) plane, lets consider B 1 as a sum of two circularly polarised magnetic field components (in opposite direction) and further take into account that only the component that is rotating in the same direction as M will have an effect on the spins, i.e. B 1 (t) = B 1 cos ω 0 t ê x B 1 sin ω 0 t ê y. Considering now B = (B 1 cos ω 0 t, B 1 sin ω 0 t, B 0 ) and a starting condition M(0) = M 0 ê z, the solution of Eq. (2.1) is [12] where ω 1 = γb 1. M(t) = (M x (t), M y (t), M z (t)) = M 0 (sin ω 1 t sin ω 0 t, sin ω 1 t cos ω 0 t, cos ω 1 t), (2.2) According to Eq. (2.1), M starts to rotate simultaneously both about B 0 at ω 0 and B 1 at ω 1. The angle by which M rotates about B 1 is defined by the duration t of the RF pulse, i.e. θ = γb 1 t. It should be noted that the precession of magnetization is often interpreted in a rotating frame (x, y, z ), which rotates about the z-axis at ω 0 and where B 1 appears to be static in the x direction. Hence, M rotates about x -axis at ω 1. The magnitude of the transverse component M xy is being measured by the generated signal in the receiver coil. After transforming the signal to the rotating frame using phase sensitive detection, the signal has the form [12] S(t) = S 0 e t/t 2 cos ω 0 t. The signal called free induction decay (FID) is oscillating at ω 0 and decays away under an exponential envelope due to the spin-spin relaxation effect introduced in the following section. By tuning the RF excitation/receiver coil to proton s Larmor frequency, only protons can undergo an RF absorption and emission (magnetic resonance) that gives a signal. Note however, that the detection of resonant frequencies from different nuclei (e.g. 1 H, 13 C, 31 P and 23 Na) is the basis for MR spectroscopy. 2.2 Nuclear magnetic relaxation After M has been perturbed, it s equilibrium state is gradually being restored by two relaxation processes - a T1 and T2 relaxation process. T1 relaxation is responsible for the recovery of the longitudinal magnetization M z to equilibrium according to [8] dm z dt = M z M 0. T 1 The process is accompanied with the change in protons spin energy states due to spin interaction with randomly fluctuating magnetic moments of neighbouring molecules (spin-lattice interaction). As the interactions will be stronger when the rate of molecular motion is close to the Larmor frequency, T1 depends greatly on the used magnetic field strength and tissue composition (T1 is large for the relatively free water in cerebrospinal fluid (CSF) and much smaller for water in white and grey matter as its rate of motion is closer to Larmor frequency at conventional magnetic fields used in MRI - see Tab. 2.1). T2 relaxation process is responsible for the decay of transverse magnetization M xy according 4

5 to [8] dm xy dt = M xy T 2. The process termed spin-spin interaction occurs due to nuclear dipolar interactions between randomly fluctuating proton magnetic moments and is much less dependent on the magnetic field strength than T1 relaxation. 2 Typical T1 and T2 relaxation times of brain grey and white matter, as well as CSF are given in Tab However, besides the spin-spin interactions, inhomogeneities in the static magnetic field produced by local changes in magnetic susceptibility also contribute to the decay of M xy and are of primary importance in fmri. Variations in magnetic susceptibility can be considered as macroscopic, affecting several voxels (proximity of air/tissue interfaces near air cavities in the human head), and microscopic, affecting individual voxels (proximity of blood vessels with paramagnetic Hb). The later is the basis for signal detection in BOLD-fMRI. All effects that contribute to the decay of M xy are taken into account in the T2* relaxation according to [8] 1 T 2 = 1 T 2 + γ B mi + γ B ma, where B mi and B ma refer to magnetic field inhomogeneities due to microscopic and macroscopic variations in magnetic susceptibility, respectively. 2.3 Basic pulse sequences in MRI As will be later described, the use of magnetic field gradients is essential to allow for signal spatial encoding. However, due to gradients the signal starts to dephase after the application of an RF excitation pulse. To reform the signal, two basic pulse sequences are used - gradient echo (GE) and spin echo (SE). In GE, signal refocusing is performed by changing the polarity of the gradient. After the RF excitation pulse, the initially negative gradient that causes spins to dephase, is reversed. This results in spin rephasing and the generation of a signal echo at time TE (time to echo) after the RF pulse. Although GE removes the gradient effects, it cannot rephase the magnetic susceptibility effects expressed in the T2* relaxation time. Thus, the signal of GE decays as e T E/T 2 [2, 8]. In SE the signal is rather refocused with the use of a second 180 RF pulse that follows the initial 90 pulse. In addition to eliminating the gradient effects, it also completely eliminates the magnetic susceptibility effects at the centre of the echo but leaves the random appearing T2 relaxation. Hence, the signal decay is expressed by T2. 2 Apart from nuclear dipolar interactions, nuclear interactions with neighbouring electrons (chemical shift) also modulate the proton s Larmor frequency defined by Zeeman interaction with the static magnetic field. However, those changes are on the order of only ppm and are thus ignored in conventional MRI and fmri applications, but provide the basis for MR spectroscopy. Table T [8]. Typical T1 and T2 relaxation times of brain grey and white matter, as well as CSF at Grey matter White matter CSF T1 (ms) T2 (ms)

6 It should be noted that for GE, the initial RF pulse is typically θ < 90 to yield higher signalto-noise ratio, whereas SE employs a 90 pulse [8]. Moreover, when the GE or SE pulse sequence is repeated with time TR (time to repetition), the signal additionally decays by factor 1 e T R/T 1. The difference in tissue relaxation properties can be expressed in the image contrast by varying pulse sequence parameters that affect the excitation and observation of spin signal. In particular, three parameters are of importance: energy per initial RF pulse (expressed in the flip angle of M), TR and TE. By manipulating TR, contrast in T1 is expressed in a T1-weighted image, whereas the change of TE in SE and GE pulse sequences generates T2- and T2*-weighted images, respectively. As can be seen from Fig. 2.1, the largest signal is obtained when using TR and TE close to the tissue T1 and T2 (T2*) relaxation times. 2.4 The concept of spatial encoding in MRI and the MRI hardware A typical clinical MRI hardware that is used nowadays is comprised by the following main components: a superconducting magnet (generates a static magnetic field strength of T), three gradient coils (25 40 mt/m), RF excitation and receiver coil (Fig. 2.2). The use of three magnetic field gradients (G x, G y, G z ), where the magnetic field strength vary linearly along one direction, serves for spatial encoding in MRI [2]. It is based on the idea that the generation of local variations in the magnetic field, and thus in the Larmor frequency of spins, can serve for spatial localization [8]. The gradient in z-direction (constructed as a Maxwell pair of coils) serves for slice selection. As Figure 2.1 Contrast in T1, T2 and T2* relaxation times for water protons in different brain tissue (white and grey matter and CSF) at 3 T. T1-weighted image (SE with TE = 18 ms, (a) TR = 500 ms, (b) TR = 1000 ms), T2-weighted image (SE with (c) TE = 180 ms and (d) TE = 60 ms, TR = 2000 ms), (e) T2*-weighted image (GE with TE = 30 ms, information about flip angle and TR not given) [8]. 6

7 Figure 2.2 Schematic diagram of MRI hardware (a) and presentation of slice selection with RF excitation pulse and gradient in z-direction G z [8]. can be seen from Fig. 2.2, the application of an RF excitation pulse with narrow bandwidth ( ω) in the presence of G z will only excite protons within a certain slice. Here, the centre position of the slice is adjusted by the carrier frequency of the pulse, whereas the slice thickness is determined by the duration of the pulse envelope and the gradient field strength [8]. For further localization within the slice, a readout gradient G x is used to produce variation in Larmor frequency along the x-axis, whereas a phase gradient G y is used to further separate the signals from different positions along the y-axis [2]. By an appropriate sequence of pulses, a 2D image is generated by means of the Fourier imaging method with data acquisition in the k-space [8]. 3 This is accomplished by taking into account the spatial variation in Larmor frequency due to a gradient G = (G x, G y ) ω( r) = γb 0 + γ G r (2.3) By neglecting the contribution of static magnetic field, the signal from spins at position r (with constant gradient) follows [8, 11] S(t) = ρ( r)e iγg rt d r = ρ( r)e i k r d r = S( k), (2.4) where k γ Gt and ρ( r) refers to density of spins at location r. 4 From Eq. (2.4) it is evident that the signal being measured is exactly the inverse Fourier transform of the spin density. Hence, once the data is acquired in the k-space, the spin density can be easily reconstructed using Fourier transform. To navigate through each point in the k-space, a particular pulse sequence is employed, where the magnitude and duration of the gradients are being manipulated with G x and G y, respectively. This is illustrated from the pulse sequence diagram of the standard GE (FLASH) method in Fig Here, G y is responsible for phase encoding, since the generated phase is locked during data acquisition along the k x line. On the contrary, G x is responsible for frequency encoding as the phase is changing during acquisition [2]. The time between the acquisition of two successive lines in the k-space refers to TR. 3 In the first imaging scheme introduced by Lauterbur in 1973, a 2D image was generated by collecting 1D signals projected on several rotating x-axes and further applying a back-projection technique. The method was much more prone to large signal artefact than Fourier imaging. 4 For a general gradient, k takes the form k γ t 0 G(t )dt. 7

8 Figure 2.3 Pulse sequence diagram and k-space representation of the GE-FLASH pulse sequence. Gradients G x and G y are responsible for collecting data along k x and k y, respectively. Note from the figure that a negative gradient G z has to be applied after spin excitation to refocus the spins to zero phase [8]. 3 Functional magnetic resonance imaging 3.1 Image contrast in fmri - the BOLD contrast In MRI, image intensity can be generated by various contrast mechanism: proton density, as well as T1, T2 and T2* relaxation and diffusion rate of tissue water, where the change in T2* relaxation of tissue water is of most importance in fmri. In perfusion fmri where the blood perfusion is measured, this change is generated with the use of contrast agents such as paramagnetic gadolinium ion that is injected into the blood stream, whereas in the more sensitive BOLD-fMRI, paramagnetic Hb serves as an endogenous contrast agent and generates intravoxel magnetic field inhomogeneities [8]. However, as explained later, BOLD-fMRI cannot assess the blood flow, but rather blood oxygenation. As the seminar focuses on BOLD-fMRI, the generation of BOLD contrast is described in more detail. Between stimulated and resting brain, a BOLD contrast appears due to a changed ratio [HbO 2 ]/[Hb] in the venous system. As previously described, it is predominantly generated through the T2* relaxation due to magnetic susceptibility changes across the tissue in the proximity of blood vessels, but can also be observed from T2-weighted images. The origin of T2 effect are both field inhomogeneities within blood vessels (intravascular water component) as well as in the surrounding tissue (extravascular water component) [8]. In the intravascular system, the field gradients around blood cells with Hb are very small compared to water diffusion distances across and around the cell membrane which averages the T2* relaxations and leaves only the random appearing T2 effect. Similar averaging effect due to the diffusion rate appears also for the extravascular BOLD component in the proximity of small blood vessels [13]. Thus, the T2* relaxation effect from the extravascular system originates from large blood vessels. Although both BOLD effects increase with the increase in magnetic field strength, the increase in T2 is linear, whereas increase in T2* is exponential [14]. Thus, performing a GE pulse sequence in combination with higher fields is desired and typically, fields of 1.5 T and 3 T are used in fmri clinical applications. 8

9 3.2 Brain physiology related to BOLD Coupling of haemodynamics to metabolism - haemodynamic response function Arterial blood consists mostly of the diamagnetic HbO 2 that is being deoxygenated upon passing the capillary bed. Thus, the concentration of Hb increases in the venous system and generally dominates. However, upon neuronal activation from a large population of neurons (a single voxel in a typical fmri experiment (100 mm 3 ) may contain 10 7 neurons or more [8]), the local venous concentration of HbO 2 increases compared to Hb, which gives the BOLD contrast [14]. To understand this phenomenon it should be taken into account that BOLD signal (measure of oxygenated blood) is associated with changes in cerebral metabolism (glucose utilization) and haemodynamics (blood flow, blood volume, oxygen utilization). Already from PET studies, those changes have proved to be well linked to neuronal activation [5]. Since neuronal activation is an energy-requiring process [2, 15] and the brain does not store energy, glucose and oxygen have to be delivered to produce cellular energy (ATP) from glucose metabolism which manifests in an increase in blood flow [6, 8]. However, the increase in blood flow and glucose metabolism by far exceed the utilization of oxygen. Hence, as a result to brain activation, the relative concentration of Hb in venules and veins decreases leading to an increase in T2* and T2 and thus the BOLD signal. In reality, BOLD signal exhibits a far more complex dependence than described above. A typical time course of the signal that follows an instantaneous stimulus is called the haemodynamic response function (HRF) and is presented in Fig At high field strengths there is an initial decrease in signal intensity (initial dip) due to rapid deoxygenation of capillary blood and increased blood volume of draining veins [2, 8]. The initial dip is followed by a positive BOLD Figure 3.1 A typical haemodynamic response function of BOLD signal following a stimulus [1]. 9

10 response that lasts for about 5 10 s, when deoxygenation and increase in blood flow stop. For the remaining time (up to 30 s), there is a signal undershoot due to more slowly resolving blood volume after activation [1, 16]. This explanation that couples haemodynamics to neuronal activity is however still questionable [16] and try to be elucidated by coupled electroencephalography (EEG) and fmri studies [17, 18]. Nonetheless, it is believed that metabolic mechanisms have the primary effect on the typical BOLD signal and the effects from other neighbouring nuclei are believed to be negligible. Coupling of haemodynamics to neuronal activation The coupling between changes in neural activity, metabolism and haemodynamics has been described above. However, the mechanisms that link those changes are still unclear. Thus, several studies try to answer questions such as Which aspect of neural activity drives the BOLD signal? [15]. This is particularly important when trying to link results from simultaneous EEG-fMRI measurements and will be therefore briefly discussed. Neural activity is characterized by two electrical potentials - synaptic potential and action potential - and each is accompanied by a particular metabolism. Synaptic potential appears at dendrites (input of neuron) and can be measured as local field potentials (LFP) with EEG, whereas action potential is a brief (1 ms) change in transmembrane potential (ouput of neuron) that can be captured with single-unit (SUA) and multi-unit activity (MUA) measurements. Several studies show that BOLD signal better correlates with synaptic activity (see Fig. 3.2), which proposes that metabolic mechanisms involved in neuronal input signalling drive vascular changes with predominantly linear coupling [2, 15, 17]. Figure 3.2 Correlation between BOLD signal and synaptic activity (LFP), as well as action potential activity (SUA, MUA) after 24 s of visual stimulus in monkeys [17]. 3.3 Echo planar imaging as an ultra-fast imaging technique The goal of fmri is to capture BOLD response after short stimuli. Given the specific time scale of HRF, it is clear that ultra-fast imaging is necessary. As BOLD contrast is primarily expressed through the T2* relaxation process, GE pulse sequences are mostly used in BOLD-fMRI. To account for the time consuming FLASH method (time for one slice is N *TR, where N refers to the number of horizontal lines in k-space), echo-planar imaging (EPI) that was proposed by Mansfield in 1977 is usually used. Here, only one RF pulse is applied per slice, which is then followed by a series of echoes produced by successive switching of G x and G y gradients as shown in Fig However, the fast decaying signal due to T2* relaxation limits the spatial resolution of the EPI image (typical resolution is or compared to the resolution of or obtained with FLASH). Nonetheless, this is compensated by the high temporal speed in EPI (a or EPI image is acquired in 30 to 50 ms, whereas 10

11 Figure 3.3 Pulse sequence and corresponding k-representation for GE-EPI. Between successive inversions of readout gradient G x, short G y pulses (blips) are applied to move along k y -direction. Note that the EPI typical zigzag acquistion in k-space may lead to image acquisition artefacts [1, 8]. the acquisition of a FLASH image lasts up to 10 s.). In BOLD-fMRI, the acquisition parameters have to be selected as a compromise between spatial and temporal resolution. As spatial resolution actually defines the magnitude of T2* (magnetic field inhomogeneity effects scale with voxel size), small voxel size is desirable, which is even more pronounced at large magnetic fields. However, to meet the required temporal resolution of HRF, whole volume scans with EPI are typically obtained with a 3 4 mm in-plane resolution in combination with a slice thickness of 5 10 mm and TR = 2 4 s [8]. On the other hand, the choice of TE defines the BOLD contrast and the optimal TE is found to be at TE = T2* (TE = 30 ms at 3 T and TE = 50 ms at 1.5 T) [1]. The limitation of EPI is its susceptibility to artefacts due to macroscopic field inhomogeneities around air cavities in the head, chemical shift due to signal from fat protons (resonance frequency from fat proton is displaced by 3.44 ppm (220 Hz at 1.5 T)), as well as alteration in polarity of the readout gradient that can shift the echo position and lead to so called Nyquist ghost [8]. Moreover, in addition to the limited gradient switching speed (due to both technological and physiological limits the slew rate is typically mt/m/s [8]), the predominant contribution of large draining veins to BOLD signal largely restricts high spatial resolution for EPI. Apart from multi-slice EPI that was describes above, 3D EPI or spin echo EPI (SE-EPI) can be used. In 3D EPI, the slice selection gradient is replaced with a second phase encoding gradient, which enables whole volume excitation by a single RF pulse. Thus, faster scanning can be achieved but at the same time also additional image blurring is introduced [8]. SE-EPI works similarly as GE-EPI with the main difference that an additional 180 pulse is applied prior to the gradient echo train. Thus, the signal follows a T2 relaxation decay, which eliminates the predominant extravascular BOLD component from large draining veins. Thus, SE-EPI on one hand increases spatial resolution, but on the other hand has much smaller BOLD sensitivity compared to GE-EPI at typical T2* values. This restricts the use of SE-EPI to cases where T2* is very low due to large field inhomogeneities, or to cases where the static magnetic field is large enough (at least 3 or 4 T [8]) to generate a BOLD signal. 4 Conclusion In BOLD-fMRI, neural activity is measured with a signal that is a complex function of local proton density, T1 and T2 relaxation properties of the tissue, blood oxygenation, blood flow 11

12 and blood volume. Typically, it is measured using GE-EPI pulse technique that is sensitive to T2* relaxation effects including BOLD changes. However, the technique is prone to several artefacts. To overcome this, as well as to increase spatial resolution, advanced fmri methods are being studied such as sensitivity encoding (SENSE) with the use of multiple RF surface coils and UNFOLD that tends to reduce the k-space coverage [8]. Taking into account BOLD time course (haemodynamic response function) and the size of the vascular system that contributes to the signal, it is almost unbelievable that BOLD-fMRI can capture neural activity. Recent studies on simultaneous EEG-fMRI also show that fmri takes an important role in decoding brain functional connectivity [19], i.e. the generation of our thoughts. Understanding what contributes to changes in brain functional connectivity as well as neurovascular coupling between normal and diseased brain is a leading driving force of BOLDfMRI studies [15, 20, 21]. In recent years, the number of simultaneous EEG-fMRI studies is greatly increasing. The approach of combining EEG with fmri is particularly appealing as the methods have complementary temporal and spatial resolution [1]. On one hand, fmri can contribute to the EEG source localization problem, whereas on the other hand, EEG can serve in the interpretation of neurovascular coupling [22, 23]. Although, the EEG artefacts generated by MRI present a large problem and require efficient data analysis, combined EEG-fMRI studies have already shown the capability to offer answers to many questions in neuroscience [1]. To achieve both a high spatial and temporal resolution of functional brain mapping, some studies tried to use MRI at fields > 1 T to directly map magnetic field changes caused by neuronal currents [24]. Although it was confronted with strong scepticism [25], light is now shed on direct neuronal detection at low fields with SQUID sensors to suppress large BOLD effects and other susceptibility variations [26]. However, the currently reached signal sensitivity is far below the sensitivity reached from BOLD-fMRI. References [1] C. Mulert, L. Lemieux (Eds.), EEG-fMRI Physiological Basis, Technique and Applications, Berlin Heidelberg: Springer-Verlag, [2] R. B. Buxton, Introduction to functional magnetic resonance imaging: principles and techniques, New York: Cambridge University Press, [3] S. Ogawa, T. M. Lee, A. K. Kay, D. W. Tank, Proc. Nayl. Acad. Sci. (USA) 87 (1990), [4] L. Pauling, C. D. Coryell, Proc. Nayl. Acad. Sci. (USA) 22 (1936), [5] M. E. Raichle, Trends in Neurosciences 32(2) (2009), [6] D. G. Nair, Brain Research Reviews 50 (2005), [7] magnetic resonance imaging (acquired ). [8] P. Jezzard, P. M. Matthews, S. M. Smith (Eds.), Functional MRI - An Introduction to Methods, New York: Oxford University Press, [9] M. P. van den Heuvel, H. E. Hulshoff Pol, European Neuropsychopharmacology 20 (2010), [10] J. Dolinšek, Spektroskopija trdne snovi, povzetek predavanj, 2014/2015. [11] I. Serša, Slikanje z magnetno resonanco, zapiski, 2014/2015. [12] S. Clare, Functional MRI: Methods and Applications, doctoral thesis, University of Nottingham, [13] C. Stippich (Ed.), Clinical Functional MRI: Presurgical Functional Neuroimaging, New York, Dordrecht, London: Springer-Verlag Berlin Heidelberg, [14] S. Ogawa, R. S. Menon, D. W. Tank, S. G. Kim, H. Merkle, J. M. Ellermann, K. Ugurbil, Biophysical Journal 64(3) (1993), [15] B. N. Pasley, R. D. Freeman, Scholarpedia 3(3) (2008), [16] R. B. Buxton, K. Uludag, D. J. Dubowitz, T. T. Liu, NeuroImage 23 (2004), S220 S233. [17] N. K. Logothetis, J. Pauls, M. Augath, T. Trinath, A. Oeltermann, Nature 412 (2001), [18] H. Laufs, A. Kleinschmidt, A. Beyerle, E. Eger, A. Salek-Haddadi, C. Preibisch, K. Krakow, NeuroImage 19(4) (2003), [19] D. Van de Ville, J. Britz, C. M. Michel, PNAS 107(42) (2010), [20] M. D Esposito, L. Y. Deouell, A. Gazzaley, Nature reviews 4 (2003), [21] C. Iadecola, Nature reviews 5 (2004), [22] P. Ritter, A. Villringer, Neuroscience and Biobehavioral Reviews 30 (2006), [23] D. Mantini, M. G. Perrucci, C. Del Gratta, G. L. Romani, M. Corbetta, PNAS 104(32) (2007), [24] G. E. Hagberg, M. Bianciardi, B. Maraviglia, Magnetic Resonance Imaging 24 (2006), [25] K. J. Friston, Science 326 (2009), [26] A. M. Cassara, B. Maraviglia, S. Hartwig, L. Trahms, M. Burghoff, Magnetic Resonance Imaging 27(8) (2009),

Basic MRI physics and Functional MRI

Basic MRI physics and Functional MRI Basic MRI physics and Functional MRI Gregory R. Lee, Ph.D Assistant Professor, Department of Radiology June 24, 2013 Pediatric Neuroimaging Research Consortium Objectives Neuroimaging Overview MR Physics

More information

MRI Physics I: Spins, Excitation, Relaxation

MRI Physics I: Spins, Excitation, Relaxation MRI Physics I: Spins, Excitation, Relaxation Douglas C. Noll Biomedical Engineering University of Michigan Michigan Functional MRI Laboratory Outline Introduction to Nuclear Magnetic Resonance Imaging

More information

Contrast Mechanisms in MRI. Michael Jay Schillaci

Contrast Mechanisms in MRI. Michael Jay Schillaci Contrast Mechanisms in MRI Michael Jay Schillaci Overview Image Acquisition Basic Pulse Sequences Unwrapping K-Space Image Optimization Contrast Mechanisms Static and Motion Contrasts T1 & T2 Weighting,

More information

EL-GY 6813/BE-GY 6203 Medical Imaging, Fall 2016 Final Exam

EL-GY 6813/BE-GY 6203 Medical Imaging, Fall 2016 Final Exam EL-GY 6813/BE-GY 6203 Medical Imaging, Fall 2016 Final Exam (closed book, 1 sheets of notes double sided allowed, no calculator or other electronic devices allowed) 1. Ultrasound Physics (15 pt) A) (9

More information

Introduction to MRI. Spin & Magnetic Moments. Relaxation (T1, T2) Spin Echoes. 2DFT Imaging. K-space & Spatial Resolution.

Introduction to MRI. Spin & Magnetic Moments. Relaxation (T1, T2) Spin Echoes. 2DFT Imaging. K-space & Spatial Resolution. Introduction to MRI Spin & Magnetic Moments Relaxation (T1, T2) Spin Echoes 2DFT Imaging Selective excitation, phase & frequency encoding K-space & Spatial Resolution Contrast (T1, T2) Acknowledgement:

More information

Introduction to Biomedical Imaging

Introduction to Biomedical Imaging Alejandro Frangi, PhD Computational Imaging Lab Department of Information & Communication Technology Pompeu Fabra University www.cilab.upf.edu MRI advantages Superior soft-tissue contrast Depends on among

More information

Introduction to MRI Acquisition

Introduction to MRI Acquisition Introduction to MRI Acquisition James Meakin FMRIB Physics Group FSL Course, Bristol, September 2012 1 What are we trying to achieve? 2 What are we trying to achieve? Informed decision making: Protocols

More information

Part III: Sequences and Contrast

Part III: Sequences and Contrast Part III: Sequences and Contrast Contents T1 and T2/T2* Relaxation Contrast of Imaging Sequences T1 weighting T2/T2* weighting Contrast Agents Saturation Inversion Recovery JUST WATER? (i.e., proton density

More information

Field trip: Tuesday, Feb 5th

Field trip: Tuesday, Feb 5th Pulse Sequences Field trip: Tuesday, Feb 5th Hardware tour of VUIIIS Philips 3T Meet here at regular class time (11.15) Complete MRI screening form! Chuck Nockowski Philips Service Engineer Reminder: Project/Presentation

More information

The Basics of Magnetic Resonance Imaging

The Basics of Magnetic Resonance Imaging The Basics of Magnetic Resonance Imaging Nathalie JUST, PhD nathalie.just@epfl.ch CIBM-AIT, EPFL Course 2013-2014-Chemistry 1 Course 2013-2014-Chemistry 2 MRI: Many different contrasts Proton density T1

More information

Magnetic Resonance Imaging. Pål Erik Goa Associate Professor in Medical Imaging Dept. of Physics

Magnetic Resonance Imaging. Pål Erik Goa Associate Professor in Medical Imaging Dept. of Physics Magnetic Resonance Imaging Pål Erik Goa Associate Professor in Medical Imaging Dept. of Physics pal.e.goa@ntnu.no 1 Why MRI? X-ray/CT: Great for bone structures and high spatial resolution Not so great

More information

Chapter 14:Physics of Magnetic Resonance

Chapter 14:Physics of Magnetic Resonance Chapter 14:Physics of Magnetic Resonance Slide set of 141 slides based on the chapter authored by Hee Kwon Song of the publication (ISBN 978-92-0-131010-1): Diagnostic Radiology Physics: A Handbook for

More information

Nuclear Magnetic Resonance Imaging

Nuclear Magnetic Resonance Imaging Nuclear Magnetic Resonance Imaging Jeffrey A. Fessler EECS Department The University of Michigan NSS-MIC: Fundamentals of Medical Imaging Oct. 20, 2003 NMR-0 Background Basic physics 4 magnetic fields

More information

Nuclear Magnetic Resonance Imaging

Nuclear Magnetic Resonance Imaging Nuclear Magnetic Resonance Imaging Simon Lacoste-Julien Electromagnetic Theory Project 198-562B Department of Physics McGill University April 21 2003 Abstract This paper gives an elementary introduction

More information

Outline. Superconducting magnet. Magnetic properties of blood. Physiology BOLD-MRI signal. Magnetic properties of blood

Outline. Superconducting magnet. Magnetic properties of blood. Physiology BOLD-MRI signal. Magnetic properties of blood Magnetic properties of blood Physiology BOLD-MRI signal Aart Nederveen Department of Radiology AMC a.j.nederveen@amc.nl Outline Magnetic properties of blood Moses Blood oxygenation BOLD fmri Superconducting

More information

NMR and MRI : an introduction

NMR and MRI : an introduction Intensive Programme 2011 Design, Synthesis and Validation of Imaging Probes NMR and MRI : an introduction Walter Dastrù Università di Torino walter.dastru@unito.it \ Introduction Magnetic Resonance Imaging

More information

Chemistry 431. Lecture 23

Chemistry 431. Lecture 23 Chemistry 431 Lecture 23 Introduction The Larmor Frequency The Bloch Equations Measuring T 1 : Inversion Recovery Measuring T 2 : the Spin Echo NC State University NMR spectroscopy The Nuclear Magnetic

More information

The NMR Inverse Imaging Problem

The NMR Inverse Imaging Problem The NMR Inverse Imaging Problem Nuclear Magnetic Resonance Protons and Neutrons have intrinsic angular momentum Atoms with an odd number of proton and/or odd number of neutrons have a net magnetic moment=>

More information

Physical fundamentals of magnetic resonance imaging

Physical fundamentals of magnetic resonance imaging Physical fundamentals of magnetic resonance imaging Stepan Sereda University of Bonn 1 / 26 Why? Figure 1 : Full body MRI scan (Source: [4]) 2 / 26 Overview Spin angular momentum Rotating frame and interaction

More information

MR Fundamentals. 26 October Mitglied der Helmholtz-Gemeinschaft

MR Fundamentals. 26 October Mitglied der Helmholtz-Gemeinschaft MR Fundamentals 26 October 2010 Mitglied der Helmholtz-Gemeinschaft Mitglied der Helmholtz-Gemeinschaft Nuclear Spin Nuclear Spin Nuclear magnetic resonance is observed in atoms with odd number of protons

More information

FREQUENCY SELECTIVE EXCITATION

FREQUENCY SELECTIVE EXCITATION PULSE SEQUENCES FREQUENCY SELECTIVE EXCITATION RF Grad 0 Sir Peter Mansfield A 1D IMAGE Field Strength / Frequency Position FOURIER PROJECTIONS MR Image Raw Data FFT of Raw Data BACK PROJECTION Image Domain

More information

Biomedical Imaging Magnetic Resonance Imaging

Biomedical Imaging Magnetic Resonance Imaging Biomedical Imaging Magnetic Resonance Imaging Charles A. DiMarzio & Eric Kercher EECE 4649 Northeastern University May 2018 Background and History Measurement of Nuclear Spins Widely used in physics/chemistry

More information

Physics of MR Image Acquisition

Physics of MR Image Acquisition Physics of MR Image Acquisition HST-583, Fall 2002 Review: -MRI: Overview - MRI: Spatial Encoding MRI Contrast: Basic sequences - Gradient Echo - Spin Echo - Inversion Recovery : Functional Magnetic Resonance

More information

Principles of Magnetic Resonance Imaging

Principles of Magnetic Resonance Imaging Principles of Magnetic Resonance Imaging Hi Klaus Scheffler, PhD Radiological Physics University of 1 Biomedical Magnetic Resonance: 1 Introduction Magnetic Resonance Imaging Contents: Hi 1 Introduction

More information

NMR/MRI examination (8N080 / 3F240)

NMR/MRI examination (8N080 / 3F240) NMR/MRI examination (8N080 / 3F240) Remarks: 1. This test consists of 3 problems with at total of 26 sub-questions. 2. Questions are in English. You are allowed to answer them in English or Dutch. 3. Please

More information

Introduction to Magnetic Resonance Imaging (MRI) Pietro Gori

Introduction to Magnetic Resonance Imaging (MRI) Pietro Gori Introduction to Magnetic Resonance Imaging (MRI) Pietro Gori Enseignant-chercheur Equipe IMAGES - Télécom ParisTech pietro.gori@telecom-paristech.fr September 20, 2017 P. Gori BIOMED 20/09/2017 1 / 76

More information

Principles of Nuclear Magnetic Resonance Microscopy

Principles of Nuclear Magnetic Resonance Microscopy Principles of Nuclear Magnetic Resonance Microscopy Paul T. Callaghan Department of Physics and Biophysics Massey University New Zealand CLARENDON PRESS OXFORD CONTENTS 1 PRINCIPLES OF IMAGING 1 1.1 Introduction

More information

Medical Imaging Physics Spring Quarter Week 9-1

Medical Imaging Physics Spring Quarter Week 9-1 Medical Imaging Physics Spring Quarter Week 9-1 NMR and MRI Davor Balzar balzar@du.edu www.du.edu/~balzar Intro MRI Outline NMR & MRI Guest lecturer fmri Thursday, May 22 Visit to CUHSC It s not mandatory

More information

The physics US and MRI. Prof. Peter Bogner

The physics US and MRI. Prof. Peter Bogner The physics US and MRI Prof. Peter Bogner Sound waves mechanical disturbance, a pressure wave moves along longitudinal wave compression rarefaction zones c = nl, (c: velocity, n: frequency, l: wavelength

More information

Basis of MRI Contrast

Basis of MRI Contrast Basis of MRI Contrast MARK A. HORSFIELD Department of Cardiovascular Sciences University of Leicester Leicester LE1 5WW UK Tel: +44-116-2585080 Fax: +44-870-7053111 e-mail: mah5@le.ac.uk 1 1.1 The Magnetic

More information

Magnetic Resonance Imaging. Qun Zhao Bioimaging Research Center University of Georgia

Magnetic Resonance Imaging. Qun Zhao Bioimaging Research Center University of Georgia Magnetic Resonance Imaging Qun Zhao Bioimaging Research Center University of Georgia The Nobel Prize in Physiology or Medicine 2003 "for their discoveries concerning magnetic resonance imaging" Paul C.

More information

Introduction to the Physics of NMR, MRI, BOLD fmri

Introduction to the Physics of NMR, MRI, BOLD fmri Pittsburgh, June 13-17, 2011 Introduction to the Physics of NMR, MRI, BOLD fmri (with an orientation toward the practical aspects of data acquisition) Pittsburgh, June 13-17, 2001 Functional MRI in Clinical

More information

Introductory MRI Physics

Introductory MRI Physics C HAPR 18 Introductory MRI Physics Aaron Sodickson EXRNAL MAGNETIC FIELD, PROTONS AND EQUILIBRIUM MAGNETIZATION Much of the bulk of the magnetic resonance imaging (MRI) scanner apparatus is dedicated to

More information

Apodization. Gibbs Artifact. Bioengineering 280A Principles of Biomedical Imaging. Fall Quarter 2013 MRI Lecture 5. rect(k x )

Apodization. Gibbs Artifact. Bioengineering 280A Principles of Biomedical Imaging. Fall Quarter 2013 MRI Lecture 5. rect(k x ) Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2013 MRI Lecture 5 GE Medical Systems 2003 Gibbs Artifact Apodization rect(k ) Hanning Window h(k )=1/2(1+cos(2πk ) 256256 image 256128

More information

K-space. Spin-Warp Pulse Sequence. At each point in time, the received signal is the Fourier transform of the object s(t) = M( k x

K-space. Spin-Warp Pulse Sequence. At each point in time, the received signal is the Fourier transform of the object s(t) = M( k x Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2015 MRI Lecture 4 k (t) = γ 2π k y (t) = γ 2π K-space At each point in time, the received signal is the Fourier transform of the object

More information

2015 U N I V E R S I T I T E K N O L O G I P E T R O N A S

2015 U N I V E R S I T I T E K N O L O G I P E T R O N A S Multi-Modality based Diagnosis: A way forward by Hafeez Ullah Amin Centre for Intelligent Signal and Imaging Research (CISIR) Department of Electrical & Electronic Engineering 2015 U N I V E R S I T I

More information

Advanced Topics and Diffusion MRI

Advanced Topics and Diffusion MRI Advanced Topics and Diffusion MRI Slides originally by Karla Miller, FMRIB Centre Modified by Mark Chiew (mark.chiew@ndcn.ox.ac.uk) Slides available at: http://users.fmrib.ox.ac.uk/~mchiew/teaching/ MRI

More information

Physics and Brain Imaging

Physics and Brain Imaging Physics and Brain Imaging Nuclear Magnetic Resonance (NMR) Magnetic Resonance Imaging (MRI) Functional MRI (fmri) Talk at Quarknet FSU Summer Workshop, July 24, 2017 Per Arne Rikvold Leonardo da Vinci

More information

G Medical Imaging. Outline 4/13/2012. Physics of Magnetic Resonance Imaging

G Medical Imaging. Outline 4/13/2012. Physics of Magnetic Resonance Imaging G16.4426 Medical Imaging Physics of Magnetic Resonance Imaging Riccardo Lattanzi, Ph.D. Assistant Professor Department of Radiology, NYU School of Medicine Department of Electrical and Computer Engineering,

More information

Introduction to functional MRI in humans. Michael Hallquist University of Pittsburgh

Introduction to functional MRI in humans. Michael Hallquist University of Pittsburgh Introduction to functional MRI in humans Michael Hallquist University of Pittsburgh Goals of human neuroimaging Localization of brain function (mapping) Understanding large-scale functional integration

More information

Functional Magnetic Resonance Imaging (FMRI) is an imaging technique for

Functional Magnetic Resonance Imaging (FMRI) is an imaging technique for Chapter 2 Principles of FMRI Functional Magnetic Resonance Imaging (FMRI) is an imaging technique for examining brain function. Since its first appearance in 1991 (Belliveau et al.[8]) the use of FMRI

More information

The Theory of Nuclear Magnetic Resonance Behind Magnetic Resonance Imaging. Catherine Wasko Physics 304 Physics of the Human Body May 3, 2005

The Theory of Nuclear Magnetic Resonance Behind Magnetic Resonance Imaging. Catherine Wasko Physics 304 Physics of the Human Body May 3, 2005 The Theory of Nuclear Magnetic Resonance Behind Magnetic Resonance Imaging Catherine Wasko Physics 304 Physics of the Human Body May 3, 2005 Magnetic resonance imaging (MRI) is a tool utilized in the medical

More information

Lecture 12 February 11, 2016

Lecture 12 February 11, 2016 MATH 262/CME 372: Applied Fourier Analysis and Winter 2016 Elements of Modern Signal Processing Lecture 12 February 11, 2016 Prof. Emmanuel Candes Scribe: Carlos A. Sing-Long, Edited by E. Bates 1 Outline

More information

Sketch of the MRI Device

Sketch of the MRI Device Outline for Today 1. 2. 3. Introduction to MRI Quantum NMR and MRI in 0D Magnetization, m(x,t), in a Voxel Proton T1 Spin Relaxation in a Voxel Proton Density MRI in 1D MRI Case Study, and Caveat Sketch

More information

COPYRIGHTED MATERIAL. Production of Net Magnetization. Chapter 1

COPYRIGHTED MATERIAL. Production of Net Magnetization. Chapter 1 Chapter 1 Production of Net Magnetization Magnetic resonance (MR) is a measurement technique used to examine atoms and molecules. It is based on the interaction between an applied magnetic field and a

More information

Magnetic Resonance Imaging in a Nutshell

Magnetic Resonance Imaging in a Nutshell Magnetic Resonance Imaging in a Nutshell Oliver Bieri, PhD Department of Radiology, Division of Radiological Physics, University Hospital Basel Department of Biomedical Engineering, University of Basel,

More information

BMB 601 MRI. Ari Borthakur, PhD. Assistant Professor, Department of Radiology Associate Director, Center for Magnetic Resonance & Optical Imaging

BMB 601 MRI. Ari Borthakur, PhD. Assistant Professor, Department of Radiology Associate Director, Center for Magnetic Resonance & Optical Imaging BMB 601 MRI Ari Borthakur, PhD Assistant Professor, Department of Radiology Associate Director, Center for Magnetic Resonance & Optical Imaging University of Pennsylvania School of Medicine A brief history

More information

Topics. The concept of spin Precession of magnetic spin Relaxation Bloch Equation. Bioengineering 280A Principles of Biomedical Imaging

Topics. The concept of spin Precession of magnetic spin Relaxation Bloch Equation. Bioengineering 280A Principles of Biomedical Imaging Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2006 MRI Lecture 1 Topics The concept of spin Precession of magnetic spin Relaxation Bloch Equation 1 Spin Intrinsic angular momentum of

More information

How is it different from conventional MRI? What is MR Spectroscopy? How is it different from conventional MRI? MR Active Nuclei

How is it different from conventional MRI? What is MR Spectroscopy? How is it different from conventional MRI? MR Active Nuclei What is MR Spectroscopy? MR-Spectroscopy (MRS) is a technique to measure the (relative) concentration of certain chemical or biochemical molecules in a target volume. MR-Spectroscopy is an in vivo (in

More information

Relaxation times in nuclear magnetic resonance

Relaxation times in nuclear magnetic resonance Relaxation times in TEP Related topics Nuclear spins, atomic nuclei with a magnetic moment, precession movement of the nuclear spins, Landau-Lifshitz equation, Bloch equation, magnetisation, resonance

More information

Lecture #7 In Vivo Water

Lecture #7 In Vivo Water Lecture #7 In Vivo Water Topics Hydration layers Tissue relaxation times Magic angle effects Magnetization Transfer Contrast (MTC) CEST Handouts and Reading assignments Mathur-De Vre, R., The NMR studies

More information

Fundamental MRI Principles Module 2 N. Nuclear Magnetic Resonance. X-ray. MRI Hydrogen Protons. Page 1. Electrons

Fundamental MRI Principles Module 2 N. Nuclear Magnetic Resonance. X-ray. MRI Hydrogen Protons. Page 1. Electrons Fundamental MRI Principles Module 2 N S 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons positively charged neutrons no significant charge electrons negatively charged Protons

More information

2.1.1 A Brief History of NMR The conception of NMR sprouted after the Pauli s prediction of nuclear spin in

2.1.1 A Brief History of NMR The conception of NMR sprouted after the Pauli s prediction of nuclear spin in CHAPTER--2 BASICS OF NMR IMAGING AND SPECTROSCOPY 2.1 Introduction 2.1.1 A Brief History of NMR The conception of NMR sprouted after the Pauli s prediction of nuclear spin in 1924. Later Gorter (1936)

More information

HST.583 Functional Magnetic Resonance Imaging: Data Acquisition and Analysis Fall 2008

HST.583 Functional Magnetic Resonance Imaging: Data Acquisition and Analysis Fall 2008 MIT OpenCourseWare http://ocw.mit.edu HST.583 Functional Magnetic Resonance Imaging: Data Acquisition and Analysis Fall 2008 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.

More information

MRI Physics II: Gradients, Imaging. Douglas C. Noll, Ph.D. Dept. of Biomedical Engineering University of Michigan, Ann Arbor

MRI Physics II: Gradients, Imaging. Douglas C. Noll, Ph.D. Dept. of Biomedical Engineering University of Michigan, Ann Arbor MRI Physics II: Gradients, Imaging Douglas C., Ph.D. Dept. of Biomedical Engineering University of Michigan, Ann Arbor Magnetic Fields in MRI B 0 The main magnetic field. Always on (0.5-7 T) Magnetizes

More information

MRI in Practice. Catherine Westbrook MSc, DCRR, CTC Senior Lecturer Anglia Polytechnic University Cambridge UK. John Talbot MSc, DCRR

MRI in Practice. Catherine Westbrook MSc, DCRR, CTC Senior Lecturer Anglia Polytechnic University Cambridge UK. John Talbot MSc, DCRR MRI in Practice Third edition Catherine Westbrook MSc, DCRR, CTC Senior Lecturer Anglia Polytechnic University Cambridge UK and Carolyn Kaut RothRT(R) (MR) (CT) (M) (CV) Fellow SMRT (Section for Magnetic

More information

Outlines: (June 11, 1996) Instructor:

Outlines: (June 11, 1996) Instructor: Magnetic Resonance Imaging (June 11, 1996) Instructor: Tai-huang Huang Institute of Biomedical Sciences Academia Sinica Tel. (02) 2652-3036; Fax. (02) 2788-7641 E. mail: bmthh@ibms.sinica.edu.tw Reference:

More information

Tissue Characteristics Module Three

Tissue Characteristics Module Three Tissue Characteristics Module Three 1 Equilibrium State Equilibrium State At equilibrium, the hydrogen vector is oriented in a direction parallel to the main magnetic field. Hydrogen atoms within the vector

More information

Me myself and MRI: adventures in not understanding nuclear physics.

Me myself and MRI: adventures in not understanding nuclear physics. Me myself and MRI: adventures in not understanding nuclear physics. Thomas E. Gladwin August 28, 2007 Contents 1 Introduction 2 2 Nuclei 2 2.1 Precession............................... 2 2.2 Spin-up and

More information

10.4 Continuous Wave NMR Instrumentation

10.4 Continuous Wave NMR Instrumentation 10.4 Continuous Wave NMR Instrumentation coherent detection bulk magnetization the rotating frame, and effective magnetic field generating a rotating frame, and precession in the laboratory frame spin-lattice

More information

Fundamental MRI Principles Module Two

Fundamental MRI Principles Module Two Fundamental MRI Principles Module Two 1 Nuclear Magnetic Resonance There are three main subatomic particles: protons neutrons electrons positively charged no significant charge negatively charged Protons

More information

Basic p rinciples COPYRIGHTED MATERIAL. Introduction. Atomic s tructure

Basic p rinciples COPYRIGHTED MATERIAL. Introduction. Atomic s tructure 1 Basic p rinciples Introduction 1 Atomic structure 1 Motion in the atom 2 MR active nuclei 2 The hydrogen nucleus 4 Alignment 4 Precession 8 The Larmor equation 9 Introduction The basic principles of

More information

Magnetic Resonance Imaging (MRI)

Magnetic Resonance Imaging (MRI) Magnetic Resonance Imaging Introduction The Components The Technology (MRI) Physics behind MR Most slides taken from http:// www.slideworld.org/ viewslides.aspx/magnetic- Resonance-Imaging- %28MRI%29-MR-Imaging-

More information

M R I Physics Course. Jerry Allison Ph.D., Chris Wright B.S., Tom Lavin B.S., Nathan Yanasak Ph.D. Department of Radiology Medical College of Georgia

M R I Physics Course. Jerry Allison Ph.D., Chris Wright B.S., Tom Lavin B.S., Nathan Yanasak Ph.D. Department of Radiology Medical College of Georgia M R I Physics Course Jerry Allison Ph.D., Chris Wright B.S., Tom Lavin B.S., Nathan Yanasak Ph.D. Department of Radiology Medical College of Georgia M R I Physics Course Spin Echo Imaging Hahn Spin Echo

More information

V27: RF Spectroscopy

V27: RF Spectroscopy Martin-Luther-Universität Halle-Wittenberg FB Physik Advanced Lab Course V27: RF Spectroscopy ) Electron spin resonance (ESR) Investigate the resonance behaviour of two coupled LC circuits (an active rf

More information

SENSE & SUSCEPTIBILITY: RESPIRATION-RELATED SUSCEPTIBILITY EFFECTS AND THEIR INTERACTIONS WITH PARALLEL IMAGING. John Sexton.

SENSE & SUSCEPTIBILITY: RESPIRATION-RELATED SUSCEPTIBILITY EFFECTS AND THEIR INTERACTIONS WITH PARALLEL IMAGING. John Sexton. SENSE & SUSCEPTIBILITY: RESPIRATION-RELATED SUSCEPTIBILITY EFFECTS AND THEIR INTERACTIONS WITH PARALLEL IMAGING By John Sexton Thesis Submitted to the Faculty of the Graduate School of Vanderbilt University

More information

Exam 8N080 - Introduction to MRI

Exam 8N080 - Introduction to MRI Exam 8N080 - Introduction to MRI Friday April 10 2015, 18.00-21.00 h For this exam you may use an ordinary calculator (not a graphical one). In total there are 5 assignments and a total of 50 points can

More information

NMR, the vector model and the relaxation

NMR, the vector model and the relaxation NMR, the vector model and the relaxation Reading/Books: One and two dimensional NMR spectroscopy, VCH, Friebolin Spin Dynamics, Basics of NMR, Wiley, Levitt Molecular Quantum Mechanics, Oxford Univ. Press,

More information

The physics of medical imaging US, CT, MRI. Prof. Peter Bogner

The physics of medical imaging US, CT, MRI. Prof. Peter Bogner The physics of medical imaging US, CT, MRI Prof. Peter Bogner Clinical radiology curriculum blocks of lectures and clinical practice (7x2) Physics of medical imaging Neuroradiology Head and neck I. Head

More information

Applications of Spin Echo and Gradient Echo: Diffusion and Susceptibility Contrast

Applications of Spin Echo and Gradient Echo: Diffusion and Susceptibility Contrast Applications of Spin Echo and Gradient Echo: Diffusion and Susceptibility Contrast Chunlei Liu, PhD Department of Electrical Engineering & Computer Sciences and Helen Wills Neuroscience Institute University

More information

Principles of MRI. Vinyl Record. Last time: Today: Homework Due tonight! EE225E / BIO265. Transforms a temporal signal to a spatial signal

Principles of MRI. Vinyl Record. Last time: Today: Homework Due tonight! EE225E / BIO265. Transforms a temporal signal to a spatial signal What is this? ` Principles of MRI Lecture 05 EE225E / BIO265 Instructor: Miki Lustig UC Berkeley, EECS The first NMR spectrum of ethanol 1951. 1 2 Today Last time: Linear systems, Fourier Transforms, Sampling

More information

Magnetization Gradients, k-space and Molecular Diffusion. Magnetic field gradients, magnetization gratings and k-space

Magnetization Gradients, k-space and Molecular Diffusion. Magnetic field gradients, magnetization gratings and k-space 2256 Magnetization Gradients k-space and Molecular Diffusion Magnetic field gradients magnetization gratings and k-space In order to record an image of a sample (or obtain other spatial information) there

More information

Introduction to Relaxation Theory James Keeler

Introduction to Relaxation Theory James Keeler EUROMAR Zürich, 24 Introduction to Relaxation Theory James Keeler University of Cambridge Department of Chemistry What is relaxation? Why might it be interesting? relaxation is the process which drives

More information

A Hands on Introduction to NMR Lecture #1 Nuclear Spin and Magnetic Resonance

A Hands on Introduction to NMR Lecture #1 Nuclear Spin and Magnetic Resonance A Hands on Introduction to NMR 22.920 Lecture #1 Nuclear Spin and Magnetic Resonance Introduction - The aim of this short course is to present a physical picture of the basic principles of Nuclear Magnetic

More information

} B 1 } Coil } Gradients } FFT

} B 1 } Coil } Gradients } FFT Introduction to MRI Daniel B. Ennis, Ph.D. Requirements for MRI UCLA DCVI Requirements for MRI Dipoles to Images MR Active uclei e.g. 1 H in H20 Cryogen Liquid He and 2 Magnetic Field (B0) Polarizer ystem

More information

Magnetic Resonance Imaging in Medicine

Magnetic Resonance Imaging in Medicine Institute for Biomedical Engineering University and ETH Zurich Gloriastrasse 35 CH- 8092 Zurich Switzerland Magnetic Resonance Imaging in Medicine D. Meier, P. Boesiger, S. Kozerke 2012 All rights reserved.

More information

Bioengineering 278" Magnetic Resonance Imaging" Winter 2010" Lecture 1! Topics:! Review of NMR basics! Hardware Overview! Quadrature Detection!

Bioengineering 278 Magnetic Resonance Imaging Winter 2010 Lecture 1! Topics:! Review of NMR basics! Hardware Overview! Quadrature Detection! Bioengineering 278" Magnetic Resonance Imaging" Winter 2010" Lecture 1 Topics: Review of NMR basics Hardware Overview Quadrature Detection Boltzmann Distribution B 0 " = µ z $ 0 % " = #h$ 0 % " = µ z $

More information

Chem 325 NMR Intro. The Electromagnetic Spectrum. Physical properties, chemical properties, formulas Shedding real light on molecular structure:

Chem 325 NMR Intro. The Electromagnetic Spectrum. Physical properties, chemical properties, formulas Shedding real light on molecular structure: Physical properties, chemical properties, formulas Shedding real light on molecular structure: Wavelength Frequency ν Wavelength λ Frequency ν Velocity c = 2.998 10 8 m s -1 The Electromagnetic Spectrum

More information

Physical Background Of Nuclear Magnetic Resonance Spectroscopy

Physical Background Of Nuclear Magnetic Resonance Spectroscopy Physical Background Of Nuclear Magnetic Resonance Spectroscopy Michael McClellan Spring 2009 Department of Physics and Physical Oceanography University of North Carolina Wilmington What is Spectroscopy?

More information

MRI in Review: Simple Steps to Cutting Edge Part I

MRI in Review: Simple Steps to Cutting Edge Part I MRI in Review: Simple Steps to Cutting Edge Part I DWI is now 2 years old... Mike Moseley Radiology Stanford DWI, b = 1413 T2wt, 28/16 ASN 21 San Francisco + Disclosures: Funding NINDS, NCRR, NCI 45 minutes

More information

Spectral Broadening Mechanisms

Spectral Broadening Mechanisms Spectral Broadening Mechanisms Lorentzian broadening (Homogeneous) Gaussian broadening (Inhomogeneous, Inertial) Doppler broadening (special case for gas phase) The Fourier Transform NC State University

More information

NMR course at the FMP: NMR of organic compounds and small biomolecules - II -

NMR course at the FMP: NMR of organic compounds and small biomolecules - II - NMR course at the FMP: NMR of organic compounds and small biomolecules - II - 16.03.2009 The program 2/76 CW vs. FT NMR What is a pulse? Vectormodel Water-flip-back 3/76 CW vs. FT CW vs. FT 4/76 Two methods

More information

Introduction to Magnetic Resonance Imaging

Introduction to Magnetic Resonance Imaging Introduction to Magnetic Resonance Imaging MRI of the brain, ca. 1978. ca. 1993 ca. 2006 2014 Modality Characteristics and Comparison Radiography CT scanning Nuclear medicine MRI transmission modalities

More information

Lecture 21. Nuclear magnetic resonance

Lecture 21. Nuclear magnetic resonance Lecture 21 Nuclear magnetic resonance A very brief history Stern and Gerlach atomic beam experiments Isidor Rabi molecular beam exp.; nuclear magnetic moments (angular momentum) Felix Bloch & Edward Purcell

More information

On Signal to Noise Ratio Tradeoffs in fmri

On Signal to Noise Ratio Tradeoffs in fmri On Signal to Noise Ratio Tradeoffs in fmri G. H. Glover April 11, 1999 This monograph addresses the question of signal to noise ratio (SNR) in fmri scanning, when parameters are changed under conditions

More information

June 16, Signal generation and gradient fields in MRI. Maximilian Oehm. Summary of physical fundamentals. Motivation. Complex representation

June 16, Signal generation and gradient fields in MRI. Maximilian Oehm. Summary of physical fundamentals. Motivation. Complex representation in MRI of Signal in MRI June 16, 2015 in MRI Contents of 1 of 2 3 4 5 6 7 in MRI of of Magnetic field B e z (few T) Splits up energy levels N+ N N ++N 1ppm M = m V B No measurement in z-direction possible

More information

RADIOLOGIV TECHNOLOGY 4912 COMPREHENSEIVE REVIEW/MRI WORSHEET #1- PATIENT CARE AND SAFETY/PHYSICAL PRINCIPLES

RADIOLOGIV TECHNOLOGY 4912 COMPREHENSEIVE REVIEW/MRI WORSHEET #1- PATIENT CARE AND SAFETY/PHYSICAL PRINCIPLES RADIOLOGIV TECHNOLOGY 4912 COMPREHENSEIVE REVIEW/MRI WORSHEET #1- PATIENT CARE AND SAFETY/PHYSICAL PRINCIPLES 1. What are potential consequences to patients and personnel should there be a release of gaseous

More information

Rad Tech 4912 MRI Registry Review. Outline of the Registry Exam: Certification Fees

Rad Tech 4912 MRI Registry Review. Outline of the Registry Exam: Certification Fees Rad Tech 4912 MRI Registry Review Outline of the Registry Exam: Category: # of questions: A. Patient Care 30 B. Imaging Procedures 62 C. Data Acquisition and Processing 65 D. Physical Principles of Image

More information

Spin Dynamics Basics of Nuclear Magnetic Resonance. Malcolm H. Levitt

Spin Dynamics Basics of Nuclear Magnetic Resonance. Malcolm H. Levitt Spin Dynamics Basics of Nuclear Magnetic Resonance Second edition Malcolm H. Levitt The University of Southampton, UK John Wiley &. Sons, Ltd Preface xxi Preface to the First Edition xxiii Introduction

More information

Sequence Overview. Gradient Echo Spin Echo Magnetization Preparation Sampling and Trajectories Parallel Imaging. B.Hargreaves - RAD 229

Sequence Overview. Gradient Echo Spin Echo Magnetization Preparation Sampling and Trajectories Parallel Imaging. B.Hargreaves - RAD 229 Sequence Overview Gradient Echo Spin Echo Magnetization Preparation Sampling and Trajectories Parallel Imaging 75 Pulse Sequences and k-space RF k y G z k x G x 3D k-space G y k y k z Acq. k x 76 Gradient

More information

Ferdowsi University of Mashhad

Ferdowsi University of Mashhad Spectroscopy in Inorganic Chemistry Nuclear Magnetic Resonance Spectroscopy spin deuterium 2 helium 3 The neutron has 2 quarks with a -e/3 charge and one quark with a +2e/3 charge resulting in a total

More information

The Physical Basis of Nuclear Magnetic Resonance Part I ESMRMB. Jürgen R. Reichenbach

The Physical Basis of Nuclear Magnetic Resonance Part I ESMRMB. Jürgen R. Reichenbach The Physical Basis of Nuclear agnetic Resonance Part I Jürgen R. Reichenbach odule 1 October 17, 216 Outline of odule Introduction Spin and magnetic moment Spin precession, Larmor frequency agnetic properties

More information

MR Advance Techniques. Flow Phenomena. Class I

MR Advance Techniques. Flow Phenomena. Class I MR Advance Techniques Flow Phenomena Class I Flow Phenomena In this class we will explore different phenomenona produced from nuclei that move during the acquisition of data. Flowing nuclei exhibit different

More information

Measuring Spin-Lattice Relaxation Time

Measuring Spin-Lattice Relaxation Time WJP, PHY381 (2009) Wabash Journal of Physics v4.0, p.1 Measuring Spin-Lattice Relaxation Time L.W. Lupinski, R. Paudel, and M.J. Madsen Department of Physics, Wabash College, Crawfordsville, IN 47933 (Dated:

More information

Bloch Equations & Relaxation UCLA. Radiology

Bloch Equations & Relaxation UCLA. Radiology Bloch Equations & Relaxation MRI Systems II B1 I 1 I ~B 1 (t) I 6 ~M I I 5 I 4 Lecture # Learning Objectives Distinguish spin, precession, and nutation. Appreciate that any B-field acts on the the spin

More information

NUCLEAR MAGNETIC RESONANCE. The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei.

NUCLEAR MAGNETIC RESONANCE. The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei. 14 Sep 11 NMR.1 NUCLEAR MAGNETIC RESONANCE The phenomenon of nuclear magnetic resonance will be used to study magnetic moments of nuclei. Theory: In addition to its well-known properties of mass, charge,

More information

Biophysical Chemistry: NMR Spectroscopy

Biophysical Chemistry: NMR Spectroscopy Spin Dynamics & Vrije Universiteit Brussel 25th November 2011 Outline 1 Pulse/Fourier Transform NMR Thermal Equilibrium Effect of RF Pulses The Fourier Transform 2 Symmetric Exchange Between Two Sites

More information

MRS: IN VIVO SPECTROSCOPIC IMAGING MAIN POINTS

MRS: IN VIVO SPECTROSCOPIC IMAGING MAIN POINTS MRS: IN VIVO SPECTROSCOPIC IMAGING MAIN POINTS 1. A MR spectrum can identify many metabolites other than water by: Locating the peak(s) determined by a characteristic chemical shift (ppm) resulting from

More information

Topics. Spin. The concept of spin Precession of magnetic spin Relaxation Bloch Equation

Topics. Spin. The concept of spin Precession of magnetic spin Relaxation Bloch Equation Bioengineering 280A Principles of Biomedical Imaging Fall Quarter 2005 MRI Lecture 1 Topics The concept of spin Precession of magnetic spin Relaation Bloch Equation Spin Intrinsic angular momentum of elementary

More information

Rochester Institute of Technology Rochester, New York. COLLEGE of Science Department of Chemistry. NEW (or REVISED) COURSE:

Rochester Institute of Technology Rochester, New York. COLLEGE of Science Department of Chemistry. NEW (or REVISED) COURSE: Rochester Institute of Technology Rochester, New York COLLEGE of Science Department of Chemistry NEW (or REVISED) COURSE: 1014-730 1.0 Title: Magnetic Resonance Imaging (MRI) Date: July 2006 Credit Hours:

More information