Movements of the human body have long been the source of scientific fascination, which has led to widespread curiosity about the skeletal muscles responsible for athletic movement, particularly in the lower limb. In order to excel, athletes must train extensively. Muscle has an incredible aptitude for adaptation, and the question of what adaptation looks like when induced by athletic training has motivated numerous studies focused on quantifying anatomical changes in skeletal muscle due to athletic training. Past approaches to answering this question have involved comparing athletes to untrained people and other athletes in different sports, longitudinally measuring subjects before and after training regimens, and even comparing between different types of training. Most of these studies measured differences in muscle size, or the amount of hypertrophy.
With the use of imaging modalities, muscle size can be measured in vivo, commonly by computing the cross sectional area (CSA) of a muscle, or several, in one or more locations. This method has been favored because data can be collected relatively quickly, by only identifying anatomy in a couple of images. Muscle volumes can be measured similarly by summing CSA from continuous transverse images and multiplying by slice thickness. Volume is a more appropriate in vivo metric of muscle function than the CSA in a single transverse image, because the volume determines the power generating capacity of a muscle, and can be used to calculate its physiological cross sectional area (PCSA), which determines the muscle force.
The time demands of the imaging and computation required for measuring muscle volumes have limited many studies to focus on only a few subjects and a few muscles, primarily in the quadriceps or triceps surae. The hypertrophy measured in athletes or after athletic training is not uniform across groups of several muscles or even in different regions of the same muscle. Athletes do not commonly train single muscles, or even functional groups, in isolation, but rather involve the whole limb. While it has been assumed that adaptations induced by this training are not evenly distributed across the muscles of the lower limb, and instances of non-uniformity have been revealed in previous research, a comprehensive assessment of patterns of muscle adaptation across the entire lower limb has not yet been conducted for athletes. It is known that athletes exhibit greater performance than healthy non-athletes, which is linked in part to muscle hypertrophy, but the patterns of hypertrophy across muscles and how those patterns relate to athlete performance has been relatively unknown.
It is with respect to these and other considerations that the various embodiments described below are presented.
Some aspects of the present disclosure relates to systems, methods, and computer-readable media for identifying and profiling muscle patterns.
In one aspect, the present disclosure relates to a method that, in one embodiment, includes acquiring image data associated with a selected muscle or group of muscles of one or more subjects and determining, based on the image data, muscle volume of the selected muscle or group of muscles. The method also includes calculating, based on the muscle volume and the height and mass of the one or more subjects, a height-mass normalized muscle volume for the selected muscle or group of muscles, and determining a deviation of the height-mass normalized muscle volume of the selected muscle or group of muscles from a mean value of muscle volume associated with a corresponding reference muscle or reference group of muscles. The method also includes identifying, based on the deviation, a muscle abnormality or absence of a muscle abnormality in the selected muscle or group of muscles.
In another aspect, the present disclosure relates to a system that, in one embodiment, includes a data acquisition device and a processing device. The data acquisition device is configured to acquire image data associated with a selected muscle or group of muscles of one or more subjects. The processing device is configured to perform functions that include determining, based on the image data, muscle volume of the selected muscle or group of muscles, and calculating, based on the muscle volume and the height and mass of the one or more subjects, a height-mass normalized muscle volume for the selected muscle or group of muscles. The processing device is also configured to determine a deviation of the height-mass normalized muscle volume of the selected muscle or group of muscles from a mean value of muscle volume associated with a corresponding reference muscle or reference group of muscles. The processing device is also configured to identify, based on the deviation, a muscle abnormality or absence of a muscle abnormality in the selected muscle or group of muscles.
In yet another aspect, the present disclosure relates to a non-transitory computer-readable medium which, in one embodiment, has stored computer-executable instructions that, when executed by one or more processors, cause a computing device to perform a method that includes acquiring image data associated with a selected muscle or group of muscles of one or more subjects and determining, based on the image data, muscle volume of the selected muscle or group of muscles. The method also includes calculating, based on the muscle volume and the height and mass of the one or more subjects, a height-mass normalized muscle volume for the selected muscle or group of muscles, and determining a deviation of the height-mass normalized muscle volume of the selected muscle or group of muscles from a mean value of muscle volume associated with a corresponding reference muscle or reference group of muscles. The method also includes identifying, based on the deviation, a muscle abnormality or absence of a muscle abnormality in the selected muscle or group of muscles.
Other aspects and features according to the present disclosure will become apparent to those of ordinary skill in the art, upon reviewing the following detailed description in conjunction with the accompanying figures.
Reference will now be made to the accompanying drawings, which are not necessarily drawn to scale.
Some aspects of the present disclosure relate to methods, systems, and computer-readable media for performing aspects of identifying and profiling muscle patterns. Although example embodiments of the present disclosure are explained in detail herein, it is to be understood that other embodiments are contemplated. Accordingly, it is not intended that the present disclosure be limited in its scope to the details of construction and arrangement of components set forth in the following description or illustrated in the drawings. The present disclosure is capable of other embodiments and of being practiced or carried out in various ways.
It must also be noted that, as used in the specification and the appended claims, the singular forms “a,” “an” and “the” include plural referents unless the context clearly dictates otherwise. Ranges may be expressed herein as from “about” or “approximately” one particular value and/or to “about” or “approximately” another particular value. When such a range is expressed, other exemplary embodiments include from the one particular value and/or to the other particular value.
By “comprising” or “containing” or “including” is meant that at least the named compound, element, particle, or method step is present in the composition or article or method, but does not exclude the presence of other compounds, materials, particles, method steps, even if the other such compounds, material, particles, method steps have the same function as what is named.
In describing example embodiments, terminology will be resorted to for the sake of clarity. It is intended that each term contemplates its broadest meaning as understood by those skilled in the art and includes all technical equivalents that operate in a similar manner to accomplish a similar purpose. It is also to be understood that the mention of one or more steps of a method does not preclude the presence of additional method steps or intervening method steps between those steps expressly identified. Steps of a method may be performed in a different order than those described herein without departing from the scope of the present disclosure. Similarly, it is also to be understood that the mention of one or more components in a device or system does not preclude the presence of additional components or intervening components between those components expressly identified.
As discussed herein, a “subject” may be any applicable human subject, for example an athlete or normal healthy subject. Alternatively, a subject may be any animal. It should be appreciated that an animal may be a variety of any applicable type, including, but not limited thereto, mammal, veterinarian animal, livestock animal or pet type animal.
An overview of some objectives and example embodiments and implementations of the present disclosure will now be provided. In accordance with some embodiments, rapid non-Cartesian MRI and image processing is used to compile a comprehensive dataset of volumes of lower limb muscles in healthy non-athlete controls and in collegiate athletes actively competing in various varsity sports. As will be described in further detail below, an individual can have unique patterns of hypertrophy in their lower limb that can be used to establish a “phenotype”, in order to compare individuals within a population of athletes. The hypertrophy of individual muscles can be quantified by comparing individual athletes to healthy control subjects to determine the distribution of hypertrophy across the lower limb of an athlete and to compare this distribution between athletes.
Clustering analysis is a data modeling tool which can compile large datasets in multi-dimensional space in order to group similar observations and variables. Clustering has been used to study phenotypes, which are unique patterns of gene expression in different conditions. In each of multiple experimental conditions, expression levels are measured for a large number of different genes, and these expression levels are compared across genes and across conditions in order to identify specific phenotypes, as well as to group the experimental conditions with the most similar pattern of gene expression and group the genes that express similarly in different conditions. The experimental conditions are the observations, the individual genes are the variables, and the measured parameter is the level of expression.
A comprehensive analysis of the distribution of hypertrophy in athletes' lower limbs can involve comparing the different muscles in a single athlete and then comparing across athletes.
In accordance with some aspects of the present disclosure, clustering analysis may be applied to athletes in order to understand muscle hypertrophy, where the individual athletes are the observations, individual muscles are the variables, and the amount of hypertrophy is the measured parameter. Athlete phenotypes can be identified to indicate how athletes can differ within a particular sport and across an athlete population. By identifying muscles that clustering may be most sensitive to, the extent to which hypertrophy of particular muscles affects these phenotypes may be determined.
A further detailed description of aspects of the present disclosure will now be provided with reference to the accompanying drawings. The drawings form a part hereof and show, by way of illustration, specific embodiments or examples. In referring to the drawings, like numerals represent like elements throughout the several figures.
The area of interest A corresponds to a region associated with one or more physiological activities in subject P, such as muscular movements. Although not specifically shown in
It should be appreciated that any number and type of computer-based medical imaging systems or components, including various types of commercially available medical imaging systems and components, may be used to practice certain aspects of the present disclosure. Systems as described herein with respect to example embodiments are not intended to be specifically limited to magnetic resonance imaging (MRI) implementations or the particular system shown in
One or more data acquisition or data collection steps as described herein in accordance with one or more embodiments may include acquiring, collecting, receiving, or otherwise obtaining data such as imaging data corresponding to an area of interest. By way of example, data acquisition or collection may include acquiring data via a data acquisition device, receiving data from an on-site or off-site data acquisition device or from another data collection, storage, or processing device. Similarly, data acquisition or data collection devices of a system in accordance with one or more embodiments of the present disclosure may include any device configured to acquire, collect, or otherwise obtain data, or to receive data from a data acquisition device within the system, an independent data acquisition device located on-site or off-site, or another data collection, storage, or processing device.
As shown, the computer 200 includes a processing unit 202 (“CPU”), a system memory 204, and a system bus 206 that couples the memory 204 to the CPU 202. The computer 200 further includes a mass storage device 212 for storing program modules 214. The program modules 214 may be operable to perform associated with embodiments illustrated in one or more of
The mass storage device 212 is connected to the CPU 202 through a mass storage controller (not shown) connected to the bus 206. The mass storage device 212 and its associated computer-storage media provide non-volatile storage for the computer 200. Although the description of computer-storage media contained herein refers to a mass storage device, such as a hard disk or CD-ROM drive, it should be appreciated by those skilled in the art that computer-storage media can be any available computer storage media that can be accessed by the computer 200.
By way of example and not limitation, computer storage media (also referred to herein as “computer-readable storage medium” or “computer-readable storage media”) may include volatile and non-volatile, removable and non-removable media implemented in any method or technology for storage of information such as computer-storage instructions, data structures, program modules, or other data. For example, computer storage media includes, but is not limited to, RAM, ROM, EPROM, EEPROM, flash memory or other solid state memory technology, CD-ROM, digital versatile disks (“DVD”), HD-DVD, BLU-RAY, or other optical storage, magnetic cassettes, magnetic tape, magnetic disk storage or other magnetic storage devices, or any other medium which can be used to store the desired information and which can be accessed by the computer 200. “Computer storage media”, “computer-readable storage medium” or “computer-readable storage media” as described herein do not include transitory signals.
According to various embodiments, the computer 200 may operate in a networked environment using connections to other local or remote computers through a network 216 via a network interface unit 210 connected to the bus 206. The network interface unit 210 may facilitate connection of the computing device inputs and outputs to one or more suitable networks and/or connections such as a local area network (LAN), a wide area network (WAN), the Internet, a cellular network, a radio frequency (RF) network, a Bluetooth-enabled network, a Wi-Fi enabled network, a satellite-based network, or other wired and/or wireless networks for communication with external devices and/or systems. The computer 200 may also include an input/output controller 208 for receiving and processing input from any of a number of input devices. Input devices may include one or more of keyboards, mice, stylus, touchscreens, microphones, audio capturing devices, and image/video capturing devices. An end user may utilize the input devices to interact with a user interface, for example a graphical user interface, for managing various functions performed by the computer 200.
The bus 206 may enable the processing unit 202 to read code and/or data to/from the mass storage device 212 or other computer-storage media. The computer-storage media may represent apparatus in the form of storage elements that are implemented using any suitable technology, including but not limited to semiconductors, magnetic materials, optics, or the like. The computer-storage media may represent memory components, whether characterized as RAM, ROM, flash, or other types of technology. The computer storage media may also represent secondary storage, whether implemented as hard drives or otherwise. Hard drive implementations may be characterized as solid state, or may include rotating media storing magnetically-encoded information. The program modules 214, which include the imaging application 218, may include instructions that, when loaded into the processing unit 202 and executed, cause the computer 200 to provide functions associated with one or more embodiments illustrated in
In general, the program modules 214 may, when loaded into the processing unit 202 and executed, transform the processing unit 202 and the overall computer 200 from a general-purpose computing system into a special-purpose computing system. The processing unit 202 may be constructed from any number of transistors or other discrete circuit elements, which may individually or collectively assume any number of states. More specifically, the processing unit 202 may operate as a finite-state machine, in response to executable instructions contained within the program modules 214. These computer-executable instructions may transform the processing unit 202 by specifying how the processing unit 202 transitions between states, thereby transforming the transistors or other discrete hardware elements constituting the processing unit 202.
Encoding the program modules 214 may also transform the physical structure of the computer-storage media. The specific transformation of physical structure may depend on various factors, in different implementations of this description. Examples of such factors may include, but are not limited to the technology used to implement the computer-storage media, whether the computer storage media are characterized as primary or secondary storage, and the like. For example, if the computer storage media are implemented as semiconductor-based memory, the program modules 214 may transform the physical state of the semiconductor memory, when the software is encoded therein. For example, the program modules 214 may transform the state of transistors, capacitors, or other discrete circuit elements constituting the semiconductor memory.
As another example, the computer storage media may be implemented using magnetic or optical technology. In such implementations, the program modules 214 may transform the physical state of magnetic or optical media, when the software is encoded therein. These transformations may include altering the magnetic characteristics of particular locations within given magnetic media. These transformations may also include altering the physical features or characteristics of particular locations within given optical media, to change the optical characteristics of those locations. Other transformations of physical media are possible without departing from the scope of the present description, with the foregoing examples provided only to facilitate this discussion.
The method 300 may also include, for a muscle abnormality, identifying an amount or degree of the abnormality. The muscle abnormality may include hypertrophy or atrophy. Hypertrophy may correspond to a normalized muscle volume that is greater than the mean value and atrophy may correspond to a normalized muscle volume that is less than the mean value. Determining the deviation may include calculating an amount of hypertrophy or atrophy of the selected muscle or group of muscles relative to the mean value.
The mean value may be a mean normal value corresponding to a respective normal muscle or group of muscles of one or more reference subjects without a muscle abnormality. The mean value may correspond to a muscle or group of muscles of one or more reference subjects wherein at least one of the one or more subjects has a different amount or degree of muscle abnormality than at least one of the one or more reference subjects.
Acquiring the image data may include acquiring magnetic resonance imaging (MRI) data associated with the selected muscle or group of muscles. The selected muscle or group of muscles may be selected based on the corresponding function the selected muscle or group of muscles performs for the one or more subjects.
The one or more subjects may include a plurality of subjects, with each subject having a muscle abnormality in the respective selected muscle or group of muscles. The method 300 may further include generating a profile indicating a pattern of muscle abnormality across the plurality of subjects. The profile may be generated based on an amount or degree of muscle abnormality corresponding to the selected muscle or group of muscles of each of the plurality of subjects. Generating the profile may include grouping the plurality of subjects based on magnitude of the respective muscle abnormality. Generating the profile may include grouping the plurality of subjects based on particular patterns of muscle abnormality across a predetermined plurality of muscles of each respective one of the plurality of subjects.
Generating the profile may include using non-biased functions for determining the profile. The non-biased functions may include at least one of: hierarchical clustering of the plurality of subjects; principal component analysis; and determining the profile based on a relationship with performance or injury metrics associated with the plurality of subject. The hierarchical clustering may include multi-dimensional hierarchical clustering of the plurality of subjects based on the amount or degree of muscle abnormality across a predetermined plurality of muscles.
The following description provides a further discussion of certain aspects of the present disclosure in accordance with example embodiments. A description of example implementations and results of practicing various aspects of the present disclosure will be presented.
Various aspects of the present disclosure may be still more fully understood from the following description of some example implementations and corresponding results and the images of
A first example (hereinafter referred to as “Example 1”) of practicing aspects of the present disclosure will now be described along with corresponding results and with reference to illustrations in
Methods Using high resolution MRI, the lower limbs of 20 non-athletes and 20 collegiate athletes were imaged. Using custom image processing software, individual muscles were segmented in 2D axial slices and their volumes computed. In order to investigate overall leg hypertrophy, the relationship between total lower limb muscle volume and the product of height and mass for all subjects was examined. To investigate patterns of hypertrophy across the 35 muscles, the amount of muscle hypertrophy was quantified as the difference from the height-mass normalized volume of each muscle between each athlete and the average normal value, represented as a Z score (standard deviations from normal). ([1]). Using hierarchical clustering, the 35-dimensional Euclidean distance between each athlete's normalized volumes was calculated, and athletes were sorted based on statistically similar hypertrophy patterns. Linkages were based on hypertrophy similarity, and weighted mean hypertrophy patterns of each cluster were computed.
Results
A second example (hereinafter referred to as “Example 2”) of practicing aspects of the present disclosure will now be described along with corresponding results and with reference to illustrations in
Methods
Twenty-seven competitive collegiate male athletes from varsity basketball (10 athletes), football (5 athletes), baseball (5 athletes), and track and field (7 athletes) teams participated in this study, with the following characteristics (mean±st.dev. [range]): age: 20±1.8 [18-24] years, height: 190.0±9.8 [175.3-210.8] cm, body mass: 93.0±16.7 [65.8-138.3] kg (see Table 1 below). All subjects were healthy and competing at the time of this study. Example 1 covers in vivo volumes for 35 lower limb muscles in a group of 24 healthy subjects. These subjects discussed in Example 1 were used as non-athlete controls for purposes of Example 2. Characteristics of those subjects are: age: 25.5±11.1 [12-51], height: 171±10 [145-188] cm, body mass: 71.8±14.6 [47.5-107.0] kg.
Athletes' muscle volumes were measured by the same procedure used in the study of Example 1 to measure the control subject. Athletes were scanned on a 3T Siemens (Munich, Germany) Trio MRI Scanner using a 2D multi-slice gradient-echo pulse sequence which utilized a spiral trajectory in k-space for rapid data acquisition ([2]). Scans were completed with the following parameters: TE/TR/α: 3.8 ms/800 ms/90°; FOV: 400 mm×400 mm; slice thickness: 5 mm; in plane spatial resolution: 1.1 mm×1.1 mm; body receiver coil; and four signal averages. To improve muscle contrast, spectral-spatial excitation pulses were used for fat suppression ([3]). To compensate for spatial variations of the magnetic field, a Chebyshev approximation was applied for semi-automatic off-resonance correction ([4]). Contiguous axial images were obtained from the ankle joint to either the twelfth thoracic vertebra (T12) or the iliac crest (IC). The only muscle to not be fully imaged in subjects whose scans stop at the IC is the psoas; for those subjects, psoas volume is extrapolated to include the region from IC to T12 so that comparisons across subjects are consistent. Scan time varied according to subject height but was approximately 30 minutes per subject.
For each subject, 35 muscles were segmented in both limbs using image processing software written in Matlab (The Mathworks Inc., Natick, Mass., USA), where muscle boundaries were outlined to define CSA in each axial slice. Segmentations were completed by 13 trained individuals who were each provided with a detailed slice-by-slice segmentation atlas created from the data set of one of the healthy control subjects. The volume of each muscle was computed from the sum of the CSAs from all axial slices multiplied by the slice thickness. The total muscle volume of a single limb is the sum of the individual volumes of all 35 muscles in that limb. Athletes' dominant limbs were designated as their strongest, and when applicable, non-injured limb.
In order to compare muscle sizes independently of differences due to body size, muscle volumes were normalized by the product of each subject's height and body mass, which has been shown to be a good predicator of lower limb muscle volumes in healthy people ([1]). This normalization creates a functional metric (muscle volume per height*mass) that can be used to compare muscle capacity per body size between control subjects and athletes in order to quantify hypertrophy. In this comparison, a Z score was computed for each muscle in both limbs of each athlete as follows:
where normalized volumeathlete is the volume per height*mass of a specific muscle in an athlete, mean(normalized volumecontrol) is the mean volume per height*mass of that muscle in the control group, and st.dev.(normalized volumecontrol) is the standard deviation of volume per height*mass of that muscle in the control group. Z score is a measure of how many standard deviations an athlete's muscle volume is away from the mean volume of that muscle in the control group, which provides a statistically meaningful measurement of how much an individual athlete's muscle volumes deviate from the muscle volumes of the control subjects. Increasingly positive Z scores represent muscles that are hypertrophic, while negative Z scores represent muscles that are atrophic.
These Z scores were used as the measurement of hypertrophy for each individual muscle in the athletes. A clustering analysis was applied to compare all muscles in all athletes simultaneously. Clustering analyses may generally be used to rearrange the rows and columns a large data matrix based on their similarity in order to reveal significant meaning. To perform the clustering analysis in accordance with this Example 2, all data sets of Z scores were arranged into a matrix where each column corresponded to a unique athlete limb and each row corresponded to a unique muscle (see “A.” in
Muscle vectors can then be clustered by their Euclidian distance in “athlete space”, meaning that vectors with the most similar magnitude are grouped (see “B.” in
In order to determine the sensitivity of athlete clustering to deviations in hypertrophy of particular muscles, principal component analysis (PCA) of the “muscle space” was performed. PCA redefines the data space by creating new dimensional vectors, called principal components, from linear combinations of the original dimensional vectors (in this case muscle vectors), in order to more of the total variance in fewer dimensions. This method is used to take complicated multi-dimensional data and reduce the number of dimensions needed to display a significant portion of the original data. PCA is executed by defining a vector, that is a linear combination of the original vectors, that captures the highest percentage of the data's variance, then finding another vector, orthogonal to the first, that captures the next highest percent of the variance; this continues until there are as many dimensions as the original data space but each of these components captures increasingly less of the data space variance. Each of these components makes up some percentage of the overall variance in the (athlete) data, and is defined by a vector of coefficients describing each of the original (muscle) vectors' contributions to it. Each component's coefficients are weighted by the amount of variance that vector describes, and then the absolute values of the weighted coefficients for each muscle are summed for all components, to determine how individual muscles influence the clustering of athletes.
Results
A previous study all) has shown that the product of body mass and height can reliably predict total lower limb muscle volume in healthy adults and that the volume of individual muscles scales linearly with that total volume. The subjects from this previous study ([1]) were used as the control group to compare to the athletes for Example 2. When total muscle volume in the dominant limb of athletes is plotted with their height and mass, most fall above the healthy controls, indicating that athletes have more muscle volume for their body size than predicted by the scaling relationship in healthy people. All athletes except four basketball players and two football players have more than one standard deviation greater than the mean of the control's total muscle volume per height*mass. Of these, two football players, three baseball players, and four track and field athletes had more than 2.5 standard deviations more volume per height*mass. Although athletes typically have more muscle volume than controls, increased volume is not consistently scaled up with body size.
Not only is total muscle volume inconsistently different between athletes and controls, individual muscle volumes in athletes are not uniformly different from the mean of control muscles. The mean normalized volume of 24 muscles in the athletes falls within one standard deviation of the mean volume of controls, and of these, distal muscles tend to be below the mean while more proximal muscles are above it. The mean of 11 muscles in the athletes have a Z score greater than 1, including the gluteus maximus, sartorius, semitendinosus, and all four quadriceps. For individual muscles, not only is the mean of the athlete population non-uniformly different from the mean of controls, there is also a large amount of variation between athletes for each muscle. For example, the gluteus maximus in the athletes on average has a Z score close to 2.5, but some athletes have a Z score greater than 5 and others below −1 with variation in between. Therefore, athlete muscles not only display non-uniform hypertrophy compared to the controls, but also display that hypertrophy varies considerably between individual athletes.
Hypertrophy in athletes cannot be fully characterized by reducing athletes to the sum of their muscle volumes or by describing muscles by the average volume of the athlete population, so additional analysis is required to consider individual muscles and athletes simultaneously. Athletes have unique patterns of hypertrophy in their lower limb muscles, quantified by the Z score compared to control muscles, which identify individual phenotypes. Clustering analysis enables comparison of these phenotypes and groups athletes with others that have similar patterns of hypertrophy. For the 27 athletes in the study, both the dominant and non-dominant leg is included in the clustering analysis. For all but three athletes, their dominant and non-dominant limbs group with each other before any other athletes, meaning that the phenotype of an individual's two legs have more in common than the phenotypes of two different athletes. Of the three athletes whose contralateral limbs do not cluster, one had an ACL repair surgery in one knee, one had a significant unilateral hamstring injury, and one is a football kicker who asymmetrically trains his dominant and non-dominant legs. In the same way as athletes, individual muscles are compared and grouped based on their pattern of hypertrophy across the population of athletes.
Because most athletes' non-dominant leg clusters with their dominant leg, the phenotype of the dominant leg alone can be used to compare between athletes. As illustrated in
Clustered muscles have the most similar hypertrophy across the athlete population, which sometimes are also muscles with similar function in the limb. For example, the top cluster shown in
The specific configurations, choice of materials and the size and shape of various elements can be varied according to particular design specifications or constraints requiring a system or method constructed according to the principles of the present disclosure. Such changes are intended to be embraced within the scope of the present disclosure. The presently disclosed embodiments, therefore, are considered in all respects to be illustrative and not restrictive. The scope of the invention is indicated by the appended claims, rather than the foregoing description, and all changes that come within the meaning and range of equivalents thereof are intended to be embraced therein.
This Application claims priority to and benefit under 35 U.S.C. §119(e) of U.S. Provisional Patent Application Ser. No. 62/020,779 filed Jul. 3, 2014, which is hereby incorporated by reference herein in its entirety as if fully set forth below. Some references, which may include patents, patent applications, and various publications, are cited in a reference list and discussed in the disclosure provided herein. The citation and/or discussion of such references is provided merely to clarify the description of the present disclosure and is not an admission that any such reference is “prior art” to any aspects of the present disclosure described herein. All references cited and discussed in this specification are incorporated herein by reference in their entireties and to the same extent as if each reference was individually incorporated by reference. In terms of notation, hereinafter, “[n]” represents the nth reference cited in the reference list. For example, [3] represents the third reference cited in the reference list, namely Meyer, C. H., et al., Simultaneous spatial and spectral selective excitation. Magnetic Resonance in Medicine 15: 287-304 (1990).
Filing Document | Filing Date | Country | Kind |
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PCT/US2015/039162 | 7/3/2015 | WO | 00 |
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62020779 | Jul 2014 | US |