Localization of the IEDs based on the fMRI activation regions
\\n\\n
Dr. Pletser’s experience includes 30 years of working with the European Space Agency as a Senior Physicist/Engineer and coordinating their parabolic flight campaigns, and he is the Guinness World Record holder for the most number of aircraft flown (12) in parabolas, personally logging more than 7,300 parabolas.
\\n\\nSeeing the 5,000th book published makes us at the same time proud, happy, humble, and grateful. This is a great opportunity to stop and celebrate what we have done so far, but is also an opportunity to engage even more, grow, and succeed. It wouldn't be possible to get here without the synergy of team members’ hard work and authors and editors who devote time and their expertise into Open Access book publishing with us.
\\n\\nOver these years, we have gone from pioneering the scientific Open Access book publishing field to being the world’s largest Open Access book publisher. Nonetheless, our vision has remained the same: to meet the challenges of making relevant knowledge available to the worldwide community under the Open Access model.
\\n\\nWe are excited about the present, and we look forward to sharing many more successes in the future.
\\n\\nThank you all for being part of the journey. 5,000 times thank you!
\\n\\nNow with 5,000 titles available Open Access, which one will you read next?
\\n\\nRead, share and download for free: https://www.intechopen.com/books
\\n\\n\\n\\n
\\n"}]',published:!0,mainMedia:null},components:[{type:"htmlEditorComponent",content:'
Preparation of Space Experiments edited by international leading expert Dr. Vladimir Pletser, Director of Space Training Operations at Blue Abyss is the 5,000th Open Access book published by IntechOpen and our milestone publication!
\n\n"This book presents some of the current trends in space microgravity research. The eleven chapters introduce various facets of space research in physical sciences, human physiology and technology developed using the microgravity environment not only to improve our fundamental understanding in these domains but also to adapt this new knowledge for application on earth." says the editor. Listen what else Dr. Pletser has to say...
\n\n\n\nDr. Pletser’s experience includes 30 years of working with the European Space Agency as a Senior Physicist/Engineer and coordinating their parabolic flight campaigns, and he is the Guinness World Record holder for the most number of aircraft flown (12) in parabolas, personally logging more than 7,300 parabolas.
\n\nSeeing the 5,000th book published makes us at the same time proud, happy, humble, and grateful. This is a great opportunity to stop and celebrate what we have done so far, but is also an opportunity to engage even more, grow, and succeed. It wouldn't be possible to get here without the synergy of team members’ hard work and authors and editors who devote time and their expertise into Open Access book publishing with us.
\n\nOver these years, we have gone from pioneering the scientific Open Access book publishing field to being the world’s largest Open Access book publisher. Nonetheless, our vision has remained the same: to meet the challenges of making relevant knowledge available to the worldwide community under the Open Access model.
\n\nWe are excited about the present, and we look forward to sharing many more successes in the future.
\n\nThank you all for being part of the journey. 5,000 times thank you!
\n\nNow with 5,000 titles available Open Access, which one will you read next?
\n\nRead, share and download for free: https://www.intechopen.com/books
\n\n\n\n
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She received her BSc degree in Electronics and Communications Engineering from Yildiz Technical University, Kocaeli Engineering Faculty, in 1993. \r\n\r\nShe received her MSc degree in Computer Science and her Ph.D. degree in Numerical Methods from Ataturk University. Dr. Erdoğmuş studied continuous optimization problems, linear programming, and revised simplex method, for her master of thesis and course scheduling 'Discrete Optimization Problem” for her Ph.D. \r\n\r\nFrom 2003 to 2010, she was an Assistant Professor at Duzce University, Faculty of Technical Education. Since 2010, she has been working in the Department of Computer Engineering of Duzce University, Faculty of Engineering. She is currently working at Duzce University, Engineering Faculty, Department of Computer Engineering as an Associate professor. \r\n\r\nHer research interests are nature-inspired optimization algorithms, signal and image processing.",institutionString:"Duzce University",position:null,outsideEditionCount:0,totalCites:0,totalAuthoredChapters:"3",totalChapterViews:"0",totalEditedBooks:"1",institution:{name:"Duzce University",institutionURL:null,country:{name:"Turkey"}}}],coeditorOne:null,coeditorTwo:null,coeditorThree:null,coeditorFour:null,coeditorFive:null,topics:[{id:"9",title:"Computer and Information Science",slug:"computer-and-information-science"}],chapters:null,productType:{id:"1",title:"Edited Volume",chapterContentType:"chapter",authoredCaption:"Edited by"},personalPublishingAssistant:{id:"297737",firstName:"Mateo",lastName:"Pulko",middleName:null,title:"Mr.",imageUrl:"https://mts.intechopen.com/storage/users/297737/images/8492_n.png",email:"mateo.p@intechopen.com",biography:"As an Author Service Manager my responsibilities include monitoring and facilitating all publishing activities for authors and editors. From chapter submission and review, to approval and revision, copyediting and design, until final publication, I work closely with authors and editors to ensure a simple and easy publishing process. I maintain constant and effective communication with authors, editors and reviewers, which allows for a level of personal support that enables contributors to fully commit and concentrate on the chapters they are writing, editing, or reviewing. I assist authors in the preparation of their full chapter submissions and track important deadlines and ensure they are met. I help to coordinate internal processes such as linguistic review, and monitor the technical aspects of the process. As an ASM I am also involved in the acquisition of editors. 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Venkateswarlu",coverURL:"https://cdn.intechopen.com/books/images_new/371.jpg",editedByType:"Edited by",editors:[{id:"58592",title:"Dr.",name:"Arun",surname:"Shanker",slug:"arun-shanker",fullName:"Arun Shanker"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"878",title:"Phytochemicals",subtitle:"A Global Perspective of Their Role in Nutrition and Health",isOpenForSubmission:!1,hash:"ec77671f63975ef2d16192897deb6835",slug:"phytochemicals-a-global-perspective-of-their-role-in-nutrition-and-health",bookSignature:"Venketeshwer Rao",coverURL:"https://cdn.intechopen.com/books/images_new/878.jpg",editedByType:"Edited by",editors:[{id:"82663",title:"Dr.",name:"Venketeshwer",surname:"Rao",slug:"venketeshwer-rao",fullName:"Venketeshwer Rao"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}},{type:"book",id:"4816",title:"Face Recognition",subtitle:null,isOpenForSubmission:!1,hash:"146063b5359146b7718ea86bad47c8eb",slug:"face_recognition",bookSignature:"Kresimir Delac and Mislav Grgic",coverURL:"https://cdn.intechopen.com/books/images_new/4816.jpg",editedByType:"Edited by",editors:[{id:"528",title:"Dr.",name:"Kresimir",surname:"Delac",slug:"kresimir-delac",fullName:"Kresimir Delac"}],productType:{id:"1",chapterContentType:"chapter",authoredCaption:"Edited by"}}]},chapter:{item:{type:"chapter",id:"46105",title:"Simultaneous Measurement of fMRI and EEG – Principles and Applications",doi:"10.5772/58272",slug:"simultaneous-measurement-of-fmri-and-eeg-principles-and-applications",body:'Functional MRI (fMRI) and electroencephalogram (EEG) are the most widely used neuroimaging techniques which assist neuroscientists in investigating human brain function. FMRI measures the induced magnetic field change, usually the change in the blood oxygenation level dependent (BOLD) contrast, which reflects physiological changes of neuronal activity (Ogawa et al., 2000). EEG measures the summed electrical activities of neurons by detecting the electric potential difference at the scalp. As the sources of the signal measured by fMRI and EEG are different, the spatial and temporal information of the two techniques are also different. For example, EEG has millisecond resolution which is much higher than fMRI’s temporal resolution, characterized by the lag of the hemodynamic response of 6-7 seconds (Friston et al., 1998). Low temporal resolution of fMRI is inevitable not only because the BOLD contrast is developed over seconds by accumulated changes of the magnetic field, resulting from neuronal activities and vascular changes (Rosenkranz & Lemieux, 2010), but also because several seconds are required to perform each MRI measurement. Instead, fMRI has excellent spatial resolution which is much higher than EEG. Moreover, the spatial as well as the temporal resolution of fMRI is expected to further increase as the field strength of MRI system is still increasing (Ogawa et al., 2000; Regatte et al., 2007). Thus, EEG and fMRI are complementary for brain research in regard to the types of information they can provide, and it is important to utilize both EEG and fMRI signals to get a more comprehensive view of brain activities.
To combine the information provided by fMRI and EEG, one can consider performing data fusion after separately acquiring data using each modality, as it is done for many other multi-modality approaches such as combining MRI with positron emission tomography (PET) or combining MRI with computed tomography (CT). Combining PET or CT images with MR images is rather straight-forward because only a correct image registration process is required for a successful fusion of multimodality data. Combining EEG and fMRI data is more complicated; the two types of data are different as fMRI data is presented in the image domain whereas EEG represents information using waveforms in the time domain. Thus, it is recommended to simultaneously acquire fMRI and EEG data so that the data can be more easily interpreted afterwards. In fact, when fMRI and EEG are simultaneously measured, a more accurate interpretation of the data is possible because the timing information is commonly available for both of the measurements, making it more concise to figure out which parts of the fMRI and EEG signals originated from the identical brain activity.
While simultaneous recording of the two modalities can provide high spatio-temporal information for brain research, there are several issues that have to be considered to successfully perform a simultaneous fMRI-EEG measurement, such as patient safety, fMRI image quality, and EEG quality. Patient safety and image quality can be usually coped by using a properly designed MR-compatible EEG instrument. However, degradation of EEG quality cannot be prevented during the acquisition process and several post-processing techniques have to be employed to remove artefacts in the acquired EEG data.
In this chapter, a practical approach for simultaneous fMRI and EEG measurement will be discussed in detail. In section 2, an actual measurement technique and required hardware/software will be presented. Then, common artefacts of EEG signal and removal techniques will be discussed in section 3. In section 4, a practical example of simultaneous fMRI-EEG experiment will be demonstrated.
The first report on a combined use of fMRI and EEG was presented in 1993 (Ives et al., 1993), which showed that signals of brain activities could be obtained with both high spatial and high temporal resolution. In the following years, more experiments have been conducted to confirm the possibility of recording EEG inside an MR scanner (Huang-Hellinger et al., 1995; Lemieux et al., 1997). Nowadays, it has become more common to measure fMRI and EEG simultaneously and many practical applications have been introduced for epilepsy, sleep, and other brain functions.
When an experiment with a simultaneous measurement of fMRI and EEG is conducted, the first step is to prepare a proper EEG instrument. The EEG instrument is composed of electrodes which detect the EEG signal and a recording system which amplifies and digitizes the detected EEG signal. To record EEG signal within an MRI system, electrodes are attached to the patient head and placed inside an MR scanner while the recording system (the amplifier and the digitizer) is placed inside or outside the MR scanner according to different needs. Thus, it should be guaranteed that the electrodes are made with MRcompatible materials because anything placed inside an MR scanner should not contain ferrous material due to safety as well as potential susceptibility artifacts in the MR image. If an experiment requires the amplifier and digitizer placed inside the MR scanner, it should be ensured that they are manufactured with MR-compatible materials and can operate properly in the high magnetic field.
For EEG quality, the number of electrodes located at the subject’s brain scalp is a critical factor because it determines the overall spatial resolution (Reilly, 2005) and the numbers of electrodes in commercially available EEG instrument ranges from 32 to 256. Another factor which influences the EEG quality is the arrangement of electrodes and electrode wires connected to the amplifier/digitizer. To prevent possible signal artefact induced by the magnetic field change, they have to be set on the subject’s head without any loops. To minimize the problems related to the electrodes and the electrode wires, an electrode cap is generally used (Bonmassar et al., 2002; Srivastava et al., 2005). In addition, immobilization of the subject’s head and fixation of the electrode wires are also important factors for the EEG quality, as well as for the fMRI quality, because the change of the loop area created by the electrode wires in the static field also induces artefacts. To reduce movements of the electrodes and the electrode wires, various techniques are being employed, such as weighing down the electrode wires using sandbags (Benar et al., 2003), padding (Hoffmann et al., 2000), and placing a tight bandage over the subject’s head (Benar et al., 2003). Additionally, a vacuum cushion is widely used to reduce the subject’s head motion (Benar et al, 2003).
For a simultaneous fMRI-EEG experiment, most of the published literature have conducted experiments using either BrainAmp (BrainProducts GmbH, Munich, Germany) or EMR32 (Schwarzer GmbH, Munich, Germany) because both of them allow the use of an amplifier, which is non-magnetic, shielded, battery-operated, and designed for use in the MRI scanning environment. The EEG signals are amplified, converted to digital signals, and transmitted from the MR scanning environment to a computer located in the control room via optical fibers. Figure 1 shows a typical example of the commercially available MRcompatible EEG instruments, which include electrode caps (32 and 64 channels), a vacuum cushion, and a sandbag.
The EEG Instrument. (a) amplifier and optic fiber, (b) electrode caps, (c) illustration of EEG measurement inside an MRI system with an RF headcoil, and (d) aiding materials for movement reduction.
Using a properly prepared EEG instrument, EEG, electrocardiogram (ECG), and electrooculogram (EOG) signals are recorded, usually with a sampling rate of 5 KHz to capture the rapid change of artefacts caused by switching the magnetic field gradients during fMRI acquisition (Allen et al., 2000). After the EEG signal is measured, artefacts have to be removed as explained in the following sections. Attenuation of the artefacts caused by the gradient fields is employed by initially filtering with a cut-off frequency, typically smaller than 70Hz. The resulting signals are then down-sampled to 200 Hz. Since 200Hz is the sampling rate used for the conventional EEG measurement, down-sampling can reduce the processing time without degrading the EEG quality (Allen et al., 2000).
When EEG and ECG signals are measured, the EEG signals can be represented with different montages by using different references (Fisch, 1999). One of the most widely used montages is the referential montage, which defines a reference electrode at an inactive position, such as the midline position between two hemispheres of the brain. The reference may also be defined at such positions, where the distances from the left channel and the corresponding right channel are equal, eg. earlobes. Thus, the referential montage represents the EEG signal compared to the background EEG signal. The bipolar montage refers to the potential difference between two adjacent electrodes, with longitudinally or transversely directed chains (Fisch, 1999). This montage is known to be useful for localization. The third type of montage is the average reference montage, where the common reference is obtained by averaging all EEG signals. Lastly, the Laplacian montage averages several neighboring electrodes surrounding the measured EEG channel and uses the average signal as a reference (Fisch, 1999). For analysis of the EEG signal, any preferred montage can be constructed from the recorded signals in an effort to to clearly demonstrate waveform of EEG events as explained above.
For fMRI measurement, a conventional echo planar imaging (EPI) with the BOLD contrast is generally applied. However, some imaging parameters, such as repetition time (TR), should be carefully chosen to minimize the interference with EEG measurement (Mandelkow et al., 2006). In some cases where fMRI and EEG acquisition has to be recorded for an extended period of time, such as for sleep or epilepsy studies, the data size is too large that the data acquisition has to be performed in several separate sessions.
As briefly mentioned earlier, both the fMRI and the EEG signal can be contaminated when measured simultaneously. Thus, artefacts in the acquired data have to be eliminated before they can be analyzed. The types of artefacts encountered and the artefact reduction techniques that can be applied will be discussed in the following sections.
When EEG and fMRI are simultaneously measured, both fMRI and EEG signals are influenced by each other. For example, MR image quality may be degraded because the main static field (B0) and the transverse rotational magnetic field (B1) can be altered due to EEG equipment inside the MR room (Mullinger et al., 2008). However, the quality of the MR image is not adversely degraded if the EEG equipment is properly designed and manufactured so that the field inhomogeneities caused by the EEG instrument are minimized. What should be more carefully investigated is the effect of fMRI measurement on the EEG signals, as the EEG quality can be significantly degraded with simultaneous fMRI acquisition, which can induce several types of artefacts, such as (i) image acquisition artefact (IAA); (ii) ballistocardiogram (BCG) artefact; and (iii) quantization error of the analogue-to-digital converter (ADC) (Garreffa et al., 2004). Therefore, when EEG is measured in combination with fMRI, a number of artefact reduction processes have to be employed before it can be used for clinical or research applications.
The two main EEG artefacts are IAA and BCG artefact. The IAA, caused by applied imaging gradient fields during fMRI measurements, is usually removed using periodicity and consistency of the applied gradient fields (Garreffa et al., 2004). The exact cause of the BCG artefacts is not figured out but it is generally known to be added to the EEG signal due to subtle movements of the subject’s scalp or abrupt changes of the blood flow in the aortic arch during heartbeats (Ives et al., 1993). The IAA is easier to be removed than the BCG artefact because the former is relatively constant over time when the same imaging gradient is applied for every scan. However, it is rather difficult to remove the BCG artefact because the frequency, shape, and amplitude of the artefact vary from case to case. The third type of artefact is the quantization error. As the amplitude of the IAA can be more than two orders of magnitude higher than that of the EEG signal, the physiological signal in the EEG measurement may be lost if EEG is not measured with sufficient range (Allen et al., 2000).
In the following sections, a detailed explanation of the two main artefacts will be presented and the solutions for these two major artefacts will be discussed.
The IAA is caused by the changes in the magnetic field during the scanning process, resulting from various factors such as the RF pulses, B0 field inhomogeneities, body motion, and gradient switching. The switching gradient field, which is inevitable as manipulation of the applied gradient fields plays the main role in acquiring MR images, induces strong artefacts in EEG with an extremely large amplitude. Since the amplitude of IAA is 10~100 times larger than the amplitude of EEG signal, the actual EEG signal is almost completely obscured (Vanderperren et al., 2010). For that reason, earlier studies have performed aperiodic fMRI, where image acquisition is triggered after an EEG event of interest (Krakow et al., 2001). However, EEG-triggered fMRI or interleaved EEG-fMRI measurement is not an optimal solution because it reduces the flexibility of experimental design (Allen et al., 2000).
To remove the IAA from the EEG signal, researchers have focused on the properties of applied gradient fields. Since an MR imaging sequence, mostly the EPI sequence, is repeated during an fMRI experiment, identical changes take place in the gradient fields, inducing the IAA with a consistent shape for each EPI scan. Thus, most algorithms try to eliminate the IAA using the reproducibility and consistency of the IAA shape (Allen et al., 2000).
One of the first IAA reduction algorithms calculated the average IAA spectrum and subtracted the average IAA spectrum from the EEG spectrum (Sijbers et al., 1999; Hoffman et al., 2000). This artefact removal technique is integrated in FEMR software (Schwarzer GmbH, Munich, Germany), which eliminates unwanted signals that are outside the frequency range of the EEG (0.1-40Hz) using band-pass filtering. The artefacts within this frequency range have to be selectively removed. Hoffman’s algorithm initially selects 10 different 10s-long sections of EEG acquired inside the magnet, which are unaffected by any artefacts, and uses them as baseline. Then, the frequency spectrum of the baseline is subtracted from the IAA-related spectrum embedded in the EEG signal (Hoffmann et al., 2000). Since IAA is periodic and its frequency range is limited, the removal can be performed in the frequency domain. However, there can be spectral overlap of the IAA and EEG signals in some cases, resulting in an excessive subtraction of the artefact spectrum from the EEG signal.
EEG signals recorded from 10 different channels (Fp1, Fp2, F3, F4, C3, C4, P3, P4, O1, O2) and ECG signal with the image acquisition artefact (top) and after the IAA reduction (bottom)
The other type of IAA reduction algorithm is based on Allen’s algorithm (Allen et al., 2000), which is integrated in BrainVision Analyzer (Brain Products GmbH, Munich, Germany). Allen’s IAA reduction algorithm consists of two stages: (i) the artefact waveform is averaged over a fixed number of gradient artefact epochs and subtracted from each epoch in the EEG signal; and (ii) the residual IAA is attenuated by a noise cancelling algorithm (Allen et al., 2000). Since template-based removal algorithms typically leave considerable residual noise, further reduction steps should be followed.
More recently, Allen’s algorithm has been integrated in parts of many other IAA removal algorithms, including Niazy’s algorithm (Niazy et al, 2005), which combines Allen’s method with principal component analysis (PCA), and Mantini’s algorithm (Mantini et al., 2007), which combines Allen’s algorithm with independent component analysis (ICA). A new method to develop a more precise template using a time-continuous cubic spline model has been also presented (Koskinen et al. 2009). Figure 2 shows a typical example of EEG signal recorded inside a 3T MRI scanner (ISOL Technology, Korea). Fig.2 shows the EEG signal with IAA (top) and the signal after the IAA reduction using the BrainVision Analyzer (bottom).
In addition to the above-mentioned algorithms, triggering can be used in combination for detecting the starting point of every scan, which is then used as a marker for more precise averaging of the artefact waveform. Another approach is to perform an interleaved MRI acquisition, where MR acquisition is suspended at regular intervals, resulting in periods free of IAA on the EEG (Ritter et al, 2010).
In general, currently available hardware and software approaches to remove IAA from EEG signal provide satisfactory EEG signals. Moreover, it is less complicated than the removal of the cardiac pulse related artefacts which we discuss below because the timing and shape information of the IAA can be inferred from the applied gradients of MRI.
Another EEG artefact that makes the interpretation of the EEG signal rather intricate is the ballistocardiogram artefact (BCG artefact), which is caused by alteration in physiological status. Although the exact cause of the BCG artefact is still being investigated, it is known to be induced by the movement of the patient\'s body as a result of acoustic vibrations due to the scanner as well as voluntary subject movements (Reilly, 2005). In this chapter, however, we refer to the small involuntary cardiac-related body movements (ballistocardiogram). The BCG artefact can be observed from the EEG signals measured outside an MR scanner but it is small and can be easily removed (Debener et al., 2008). However, the BCG artefact becomes much greater inside the scanner because of the interaction between the active cardiovascular system and the main static field (B0) (Allen et al., 1998). Consequently, it is observed in the EEG signals measured inside an MR scanner, even when EPI sequences are not applied.
A BCG artefact follows the shape of a cardiac cycle (Fig.3). In fact, the BCG artefact closely follows the cardiac cycle with a delay of approximately 210ms between the R peak of the ECG and the BCG artefact (Allen et al., 1998). Fig.3 also shows that the amplitude of the BCG artefact is comparable, if not slightly larger, to the EEG signal. However, it was predicted that the amplitude of the BCG artefact is proportional to the B0 field (Tenforde et al., 1983), and has been confirmed later (Debener et al., 2008). Debener et al. (2008) showed that the amplitude of the BCG artefact is a function of the static magnetic field strengthand the spatial variability of the BCG artefact substantially increased at higher magnetic field strengths. In reference to various BCG artefacts, Debener et al. has also demonstrated that individual subjects have different heart rates, peak latencies, and shapes (Debener et al., 2008). Moreover, the shapes of the BCG artefact of different EEG channels also vary. As a result, it is difficult to distinguish an ‘event’ from the EEG signal when the signal is distorted by the BCG artefact.
If the frequency of the BCG artefact is constrained in a certain range distinct from that of the EEG signal, one can think of filtering the artefact in the frequency domain. Although the frequency range of the BCG artefact is mainly in the theta (4-8 Hz) band, however, it can extend to the alpha (8-13 Hz) and delta (0.5-4 Hz) bands, thus overlapping with the EEG signals (Garreffa et al., 2004).
Shows ECG and EEG signals measured inside an MRI scanner without applying the imaging gradients. The BCG artefacts are embedded in each channel.
There are also algorithms that remove the BCG artefacts from the EEG signal based on properties other than the frequency characteristic. One approach to remove the BCG artefact is based on the average artefact subtraction (AAS) algorithm (Allen et al., 1998), which creates an average BCG artefact template/waveform and subtracts it from the EEG signal. It is based on the observation that the shape and the occurrence rate of the BCG artefact is quite consistent across a number of successive heartbeats in each channel of the EEG. Thus, the AAS algorithm consists of two steps: generating an averaged BCG artefact template and subtracting it from the BCG artefact occurrences. First, reference points for each BCG artefact have to be defined. The average waveform is calculated for each referential EEG signal on a second-by-second basis and requires the previous 10 seconds of EEG and ECG signals. The R peak in the QRS complex of the ECG is detected for every heartbeat by thresholding the amplitude of the measured ECG signal using a predefined value and the onset of each BCG artefact is identified using a predefined delay (Allen et al., 1998). Once the onset of every cardiac cycle is detected, a BCG artefact template is generated by averaging the EEG signal over a predefined window size for each EEG channel as the BCG artefact exhibits different shapes in different EEG channels. Finally, the average BCG artefact template is subtracted from the measured EEG signal.
One of the most important steps for the AAS-based algorithms is to find the correct onset points of the BCG artefact because variations of the subject’s heartbeat may alter the time delay between the R peak of the QRS complex in the ECG signal and the BCG artefact in the EEG signal. If the onset points are not correct, it is difficult to find the precise average artefact template and the exact reference point for subtraction and this leaves too much residual artefact after subtraction from the EEG signal. Although the AAS method assumes that the shape and occurrence of the BCG artefacts have little variance over time and the condition of the subject’s heartbeat is stable, these assumptions may not be necessarily true. Thus, the AAS algorithm has a limitation that the corrected EEG signal can still have residual artefacts due to an inaccurate BCG artefact template.
To account for the shape variations of the BCG artefacts, more algorithms have been introduced to generate BCG artefact templates using other approaches, such as Gaussian weighted averaging (Goldman et al., 2000), median filtering (Sijbers et al., 2000; Ellingson et al., 2004), and wavelet-based adaptive filtering (Kim et al., 2004).
For the AAS-based methods, defining the template length is also an important issue. Since the actual R-R interval is not consistent, the BCG artefact can be subtracted twice if the R-R interval is shorter than the template length and insufficiently subtracted in the other case. To reduce the dependency of the AAS based algorithms on the template length, alternative algorithms have been introduced. One of these scales the template length to a certain percentage of the mean R-R period (Ellington et al. 2004). A plug-in for EEGLAB in FMRIB (http://www.fmrib.ox.ac.uk/eeglab/fmribplugin/), incorporates the BCG artefact data for all R-R period lengths in the current moving average window and the template is adaptively applied to each QRS period based on its R-R period (Brain Vision Analyzer software, http://www.brainproducts.com/). Other algorithms account for the template duration problem using the Kalman filter (Bonmassar et al., 2002), the EOG signals (In et al., 2006), the recursive least squares motion recording (Masterton et al., 2007), and a moving general linear model (mGLM) (Vincent et al., 2007).
More recently, the optimal basis set (OBS) (Niazy et al., 2005) method was proposed to use a few principal components as representations of several distinct pulse artifact templates. Since these templates include most of the BCG artefact in any given EEG channel and can be used to regress the BCG artefact, the OBS method can account for a greater temporal variation in the BCG artefact shape (Debener et al., 2010). For the OBS method, however, the number of principal components that create the template have to be selected by the user, and thus, affect the performance of this method.
The major advantage of the AAS based algorithms, in comparison with the blind source separation (BSS) algorithm, is low complexity. However, obtaining satisfactory results can be quite difficult because finding the precise onset points of the cardiac cycle for an accurate template is rather complicated as demonstrated by the variants of the AAS method mentioned above.
The AAS based and the OBS based algorithms focus on the fact that the BCG artefact of each EEG-channel has different shapes. However, the BCG artefact can be also characterized by a number of typical topographies (Bénar et al., 2003). Thus, another algorithm to remove the BCG artefacts is based on the blind source separation (BSS) algorithm, which assumes that the characteristics of the BCG artefacts are independent from or orthogonal to the EEG signals (Bénar et al., 2003). The principal or independent components are obtained using the orthogonal or independent characteristics, respectively, between the BCG artefact and EEG activity of the brain. There are several ways to perform the separation of the BCG artefacts and the EEG signal. Early approaches of BSS algorithms are based on manual selection of the independent components, including the original algorithm using ICA (Bénar et al., 2003). In Bénar’s algorithm, the components contributing to the BCG artefact are manually identified and taken out from the components. Then, reconstruction of the EEG signal with the remaining free of artefact components can produce EEG signal with reduced artefacts.
More ICA algorithms have been introduced, including Informax ICA, which uses the minimization of the mutual information (Bell & Sejnowski, 1995), FastICA, which uses the maximization of the non-Gaussianity (Hyvärinen & Oja, 2000), joint approximate diagonalization of eigenmatrices (JADE) (Cardoso & Souloumiac, 1993), and second order blind identification (Belouchrani et al., 1993). ICA methods are implemented in the EEGLAB software (http://sccn.ucsd.edu/eeglab/). Since the ICA algorithms reduce the BCG artefact by removing the subjectively defined components that are correlated to the BCG artefact after the ICA processing, the performance may depend on users.
To solve this problem, algorithms for automatic identification of components related to the BCG artefact have been also proposed. Some of the selection criteria for the automatic identification include correlation with the ECG signal (Srivastava et al., 2005; Mantini et al., 2007), frequency content related to the heartbeat rate and its harmonics (Vanderperren et al., 2007), and autocorrelation of the EEG signal (Deburchgrave et al., 2008; Vandersperren et al., 2010). The BCG-related components can be distinguished by the peaks in their autocorrelation. Because the BCG artefacts are originated from the cardiac pulsing, selection of frequency related components can be based on the harmonics of the heart rates. This property can be exploited as a tool to select the artifact-related components from the ICA decomposition, where the heart rate frequency is determined by computing the inverse of the average distance between consecutive QRS peaks. However, these algorithms require a delicate selection of parameters to achieve better performance (Vanderperren et al., 2010). Moreover, ICA method is inefficient to account for the spatial variation of the BCG artefact since independent components are obtained from EEG signals measured at different positions of the brain. As an alternative, OBS-ICA method can be used, which initially removes a major part of the BCG artifact using the OBS method and then removes the residual BCG artefact using the ICA method. (Debener et al., 2007)
\n\t\t\t\t\tThe main advantage of the BSS algorithms is that, unlike the AAS based algorithms, the exact onset of the BCG artefact is not required to be identified. However, the BSS algorithms have higher computational complexity than the AAS algorithms. In addition, the BSS algorithms may not work properly for the EEG signals measured in higher field MRI scanners, i.e., 3T and 7T, as deviations in the spatial information of the BCG artefact become greater in higher field MRI systems (Debener et al., 2008).
As discussed in the previous sections, both ASS and BSS algorithms have advantages and disadvantages. However, for 3T or higher field MRI systems, the ASS algorithms can be more efficient (Vanderperren et al., 2010). To optimize the ASS algorithm for higher field MRI systems, a modified AAS (MAAS) algorithm has been proposed to improve the construction and the subtraction of the BCG template using a fully automatic process (Oh et al., 2014). The MAAS algorithm is composed of two steps; it initially finds an accurate reference point based on the ECG signal to use for the BCG artefact subtraction and the template generation. Then, an accurate BCG artefact subtraction algorithm is applied, which adaptively subtracts the BCG artefact template using different delay and window sizes.
To find the reference points for the BCG artefacts, R peaks of the ECG signal have to be accurately identified. According to Debener (Debener et al., 2007), a negative swing occurs between the S and T states of the P_QRS_T wave due to an axial blood flow momentum when the ECG signal is recorded in a high field MR system. This negative swing is used to automatically identify the R peak from ECG in the MAAS algorithm (Oh et al., 2014). Since an R peak and the following negative peak produce the maximum signal difference, the difference of positive and negative peaks is calculated to deduce the R peak. For each segment of the ECG signal with a predefined duration, a sliding window of 0.3s duration is defined to reflect the physiological characteristic (Debener et al., 2007). Within the sliding window, a positive peak and the following negative peak are identified and the difference between the peaks is calculated. After eliminating the positive and negative peak pairs whose difference is smaller than the average, the maximum peak among the remaining positive peaks is selected as the R peak candidate of the current window. Then, the false R peaks are eliminated from the candidate peaks using the resting heartbeat rate (Sharieff, 2006). Since the distances between adjacent R peaks should be within 0.5-1.3 seconds (for 46-120 bpm), the R peak candidate is eliminated if its distance from the previous R peak or the following R peak does not lie in this range. After elimination, the point which has the maximum ECG signal is assigned as a new R peak in sections where the distance of adjacent R peaks is larger than 1.3 seconds.
To detect the BCG artefact from the contaminated EEG signal, a BCG clip is defined for the EEG signal using the R peak as shown in Fig.4. After extracting the BCG clips from the current EEG segment, the BCG clips suitable for a correlation template (CT) generation are classified; if the absolute mean of a BCG clip is larger than the absolute mean of BCG from all previous EEG segments, it is not used for CT generation. Then, the remaining BCG clips are averaged to generate the CT, and then correlation coefficients between each BCG clip and the CT are calculated to figure out the true peak of the current BCG artefact. By considering the delay time between an R peak and the following BCG artefact, the BCG artefact is classified into a normal and a deformed BCG artefact.
An illustration of the ballistocardiogram (BCG) artifact.
The BCG artefact template is simply obtained by averaging more than two normal BCG artefacts within the current segment, and its length is defined by the maximum window size of the normal BCG artefacts. For a normal BCG artefact, the contaminated EEG signal is corrected by subtracting the BCG artefact template using the individual delay and the individual window size. In case of a deformed BA artefact, the BCG artefact template is subtracted using the average window size and the average delay.
Figure 5 shows the contaminated EEG signal with the BCG artefact and the EEG signal after applying BCG reduction using the OBS, ICA, and MAAS algorithms. Since the MAAS algorithm detects R peaks accurately and uses variable window and delay properties, it can neatly remove the BCG artefacts. Since the OBS method uses the mean R-R interval as the window size of the BCG artefact template, it can result in distortion if the current R-R interval is shorter than the mean R-R interval. In this study, some of the epilepsy signals are overly removed since the mean R-R interval is used. The error is also partly due to the fact that the selected components of the OBS are related to epilepsy signals. For ICA, the estimated BCG artefact cannot handle the variation of the BCG artefacts for every EEG channel and the correction results can have residual artefacts.
The BCG artefact and its corrected signals. (a) EEG signal on the F7 channel before correction, (b) corrected EEG signal by OBS, (c) corrected EEG signal by ICA, (d) corrected EEG signal by MAAS, and (e) scaled ECG signal. In this study, some of the epilepsy signals are overly removed when the OBS algorithm is used (marked with squares) and the ICA algorithm leaves too much residual BCG artefacts (marked with dotted ovals).
The possibility of recording the EEG inside an MR scanner has opened a wide variety of new research areas. Generally, there are three application areas for simultaneous fMRI and EEG studies: neurovascular coupling, cognitive and systems neuroscience, and clinical studies. However, the most straightforward application would be to search for brain activation and deactivation areas related to specific events of the EEG signal. This type of research has been carried on via correlation between the BOLD time series and a postulated EEG-derived model of haemodynamic changes, generated by the general linear models (GLM). In other words, the temporal information acquired from the EEG signals can be used as timing information for the stimulus cue in fMRI. Then, the fMRI analysis can be performed using the MR images corresponding to the cue timing as images of stimulus conditions and the rest as images of reference conditions.
Typical application areas of simultaneous fMRI-EEG experiments include resting state studies such as sleep studies, brain rhythm studies, and activation studies for pain research, auditory research, visual research, and cognition research (Horovits et al., 2008; Christmann et al., 2007; Laufs et al., 2003). In this section, a practical example of a simultaneous fMRIEEG experiment for epilepsy patient is demonstrated. Moreover, three different BCG artefact reduction algorithms are compared using fMRI analysis results.
The development of simultaneous EEG and fMRI measurement was initially motivated out of interest in identifying the BOLD changes related to interictal epileptiform discharges (IED) (Rosenkranz et al., 2010). Although the timing and the shape of epilepsy waveform can be acquired using EEG, spatial information of EEG is not as accurate because the EEG signal is measured at certain locations on the surface of a brain only. Thus, fMRI analysis is used to provide more accurate spatial information of an epilepsy patient by providing not only the cortical but also the subcortical information.
In this experiment, three patients with intractable partial epilepsy were recruited and a written consent was signed by every patient prior to the experiments. A neurologist supervised the experiments to ensure the safety of the patients. EEG recording was performed inside a 3T MRI system (ISOL Technology, South Korea) using BrainAmp and BrainCap (BrainProducts GmbH, Germany). With BrainCap, 21 EEG channels (Fp1, Fp2, F3, F4, C3, C4, P3, P4, O1, O2, F7, F8, T7, T8, P7, P8, Fz, Cz, Pz, TP9, and TP10 in the 10-20 channel system), two ECG channels, and an EOG were recorded during 5 to 7 sessions, each lasting for 11 minutes. The international 10-20 system is an electrode placement scheme mostly applied for epilepsy studies, which is based on the relationship between the location of an electrode and the underlying area of the cerebral cortex. The 10 and 20 represent the distances between adjacent electrodes which are 10% and 20% of the total front-back and right-left distance of the skull (Fisch, 1999). The reference electrode of the cap was located at the mid-points (Cz and Fz), and EEG/ECG signals were recorded with a sampling rate of 5kHz to prevent aliasing.
At the same time, fMRI data was simultaneously acquired using the following imaging parameters: gradient-echo echo-planar-imaging (GE-EPI) sequence, TR/TE=3000/37 msec, matrix size=64×64, FOV=220×220 mm2, slice thickness=4 or 5mm, number of slices=20 or 30, and flip angle=70°.
After the measurement, the EEG signals were filtered by a phase-shift-free Butterworth filter having a band-pass range of 0.5 to 55 Hz. IAA was then eliminated using the BrainVision Analyzer (BrainProducts) and the filtered signals were down-sampled to 500 Hz (Mandelkow et al., 2006). To remove the BCG artefacts, ICA, OBS and MAAS algorithms were separately applied to the EEG signals. For fMRI analysis, Statistical Parameter Mapping (SPM8, http://www.fil.ion.ucl.ac.uk/spm/) was used with the pre-processing steps of ‘realign’ and ‘smoothing with a Gaussian filter having a full width at half maximum of 8mm’. For the t-test, p-value of 0.001 and a cluster analysis of 4mm was applied.
Activation regions from fMRI analysis after removing the BCG artefacts from the measured EEG signal using the MAAS, ICA, and OBS algorithms. The activation regions corresponding to the PEZ is marked with circles.
After post-processing, neurologists detected IEDs from the BCG-artefact removed EEG signals. To localize the IED regions in the brain, fMRI analysis was performed using SPM8 with the detected IED timing information. Then, the activated regions from the fMRI were compared to the presumed epileptogenic zone (PEZ), which was also determined by analyzing the EEG signals, PET images and anatomical MR images.
Since the activated regions from the fMRI are analyzed using the detected IEDs, the performance of the BCG artefact removal algorithms can be indirectly evaluated by comparing the fMRI activation regions. In this experiment, the IED regions in the subjects’ brain were localized using the regions revealed by the fMRI analysis (Fig.6). IED regions of subject A is shown in Fig. 6. The localized activation regions of three subjects are shown in Table 1. While the detected fMRI activation regions from all three methods produced the same results for subjects B and C, coincident with PEZ, data of subject A produced different results when the MAAS algorithm was applied. As shown in Fig.6, the left temporal pole of subject A could be only detected when the BCG artefact of the EEG signal was removed by the MAAS algorithm. When the fMRI activation results were compared to the PEZ of subject A, the activation region was coincident with the PEZ only when the MAAS algorithm was applied.
\n\t\t\t\tsub\n\t\t\t | \n\t\t\t\n\t\t\t\tPEZ\n\t\t\t | \n\t\t\t\n\t\t\t\tactivated regions from fMRI\n\t\t\t | \n\t\t||
\n\t\t\t\tMAAS\n\t\t\t | \n\t\t\t\n\t\t\t\tICA\n\t\t\t | \n\t\t\t\n\t\t\t\tOBS\n\t\t\t | \n\t\t||
\n\t\t\t\tA \n\t\t\t | \n\t\t\tl. ant -mid temporal area | \n\t\t\tl. limbic lobe, parahipocamppal gyrus | \n\t\t\tl. frontal lobe, | \n\t\t\tr. temporal lobe, superior temporal lobe | \n\t\t
superior frontal gyrus | \n\t\t||||
l. temporal pole | \n\t\t\tl. limbic lobe, parahipocamppal gyrus | \n\t\t\tr. limbic lobe, | \n\t\t||
anterior cingulate | \n\t\t||||
r. limbic lobe, | \n\t\t\tr. frontal lobe, superior frontal gyrus | \n\t\t\tl. limbic lobe, parahipocamppal gyrus | \n\t\t||
anterior cingulate | \n\t\t||||
l. frontal lobe, | \n\t\t\tr. occipital lobe, | \n\t\t\tl. occipital lobe, cuneus | \n\t\t||
inferior frontal gyrus | \n\t\t\tlingual gyrus | \n\t\t|||
left frontal lobe, superior frontal gyrus | \n\t\t\t\n\t\t\t | \n\t\t | ||
\n\t\t\t\tB \n\t\t\t | \n\t\t\tr. mid -temporal area | \n\t\t\tr. frontal lobe, middle frontal gyrus | \n\t\t||
r. frontal lobe, inferior frontal gyrus | \n\t\t||||
r. temporal lobe, middle temporal gyrus | \n\t\t||||
\n\t\t\t\tC \n\t\t\t | \n\t\t\tbifrontal area | \n\t\t\tr. frontal lobe, middle frontal gyrus | \n\t\t||
r. frontal lobe, superior frontal gyrus | \n\t\t
Localization of the IEDs based on the fMRI activation regions
As the results demonstrate, the MAAS algorithm outperforms the other algorithms in this study with epilepsy patients. In spite of its complex calculation, the ICA algorithm cannot clearly detect and remove the BCG artefacts because it cannot sufficiently account for the deviations of spatial information of the BCG artefacts (Debener et al., 2007). On the other hand, the timing information of every R peak is used to estimate the onset and duration of the corresponding BCG artefact more accurately in the MAAS algorithm. Since variation of a subject’s heartbeat may alter the delay time of the BCG artifact in the EEG signal from the R peak in the ECG signal (Shin, et al., 2009; Assecondi et al., 2009), the BCG artefacts cannot be fully removed if a fixed delay is used for the BCG artefact detection, such as in the OBS method. Another advantage of the MAAS algorithm is that it uses individual window sizes when subtracting the BCG artefact template from the EEG signal. Since the OBS method uses the mean R-R interval as the window size for the BCG template, the correction result can be distorted if the current R-R interval is shorter than the mean R-R interval. In other words, some regions may be subtracted twice as it experiences an overlapping of successive subtraction windows.
The simultaneous fMRI-EEG experiment for epilepsy patient enables various types of analysis for research and diagnosis. In clinical fields, simultaneous fMRI-EEG measurement can be used for localization of the epileptic source in presurgical evaluation (Zijlmans et al., 2007) or in epilepsy surgery (Thornton et al., 2010). For research purposes, it can be used to study absence seizures (Moeller et al., 2009), temporal lobe interictal spikes heterotopias (Kobayashi et al, 2006a), startle epilepsy (Fernández et al., 2011), and gray matter heterotopias (Kobayashi et al, 2006b). However, the BOLD changes are related to the detected IEDs with only about 67% accuracy (Al et al. 2003; Krakow, et al., 2001; Salek-Haddadi et al., 2006), possibly due to significant difference in hemodynamic response function (HRF) of epilepsy and the standard HRF model (Bénar et al., 2001). To account for this problem, various HRFs have been developed for epilepsy (Bagshaw et al., 2004; Grouiller et al., 2010).
In this chapter, principles and applications for simultaneous fMRI and EEG measurement were discussed. The simultaneous fMRI and EEG measurements can both provide high spatial and temporal resolution, and thus, can generate valuable data for experimental and clinical neuroscientists. However, there are certain problems, such as the IAA and the BCG artefacts, which have to be carefully handled to make a full use of the methodology. If a proper elimination method is employed to reduce possible artefacts in the fMRI and EEG signals, the simultaneous measurement can become a useful tool in various clinical and system neuroscience studies. Thus, a combined analysis of fMRI and EEG will provide a more promising future for elucidating the mechanisms of brain than the separate application of these two tools.
This work was partly supported by National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) (No. 2012-0000125) and by Basic Science Research Program through the NRF grant funded by the Ministry of Science, ICT & Future Planning (NRF-2013R1A1A3009909).
Up to now, researchers have developed a variety of micro/Nano driving and positioning platforms based on piezoelectric materials. Among the developed piezoelectric platforms, many of them have been applied for biological cell manipulation, atomic manipulation, micro/nano indentation, aerial photography and other systems with great application results [1, 2] . However, the working stroke of piezoelectric components is quite small, often only a few micrometers or tens of micrometers, which seriously limits the further application of piezoelectric actuators. Therefore, many researchers have done a lot of work to overcome this shortcoming of piezoelectric components, so as to expand the application field of piezoelectric actuators [3]. The inchworm type piezoelectric actuator is one kind of the developed new piezoelectric actuators which is able to ensure a large working stroke and achieve nano-scale accuracy at the same time. It has a wide application demand in the fields which have strict requirements on output accuracy, space size and antielectronmagnetic interference. The study on inchworm piezoelectric actuators has become a hot spot in the application and research field of piezoelectric actuators in recent years [4, 5].
\nThe inchworm type piezoelectric actuator mimics the motion principle of the real inchworm in nature, as is illustrated in Figure 1(a) [6]. Sometimes, it is called one kind of novel bionic actuators. It is found that the natural inchworm moves smoothly by stepping motion form. With the help of the stepping motion form and the piezoelectric technology, large working stroke is easy to be achieved by inchworm actuators through the alternating motion of driving units and clamping units. At the same time, compared with other piezoelectric actuators, the use of clamping unit brings larger output force. The inchworm type piezoelectric actuator usually consists of one driving unit and two clamping units. According to the difference of motion modes, inchworm type piezoelectric actuators could be split into three motion patterns: the “walker” pattern, the “pusher” pattern and hybrid “walker-pusher” pattern.
\nMotion principles: (a) real inchworm [32]; (b) “walker” pattern; (c) “pusher” pattern.
\nFigure 1(b) shows the motion principle of the “walker” pattern piezoelectric actuator, which is essentially similar to the walking mode of the real inchworm in nature. The “walker” mechanism obtains a large working stroke by repeating the following six steps: (1) in the original position, all piezoelectric elements in the driving unit and clamping units do not work, so there is a gap between the clamping device and the base guider; (2) the piezoelectric element in clamping unit 1 obtains the power, and then clamping unit 1 holds the base guide tightly; (3) the driving unit is extending while the piezoelectric element inside it obtains the power; (4) the clamping unit 2 obtains the power to tightly fix the base guider and the clamping unit 1; (5) the clamping unit 1 loses power to release the base guider; (6) the driving unit returns to its original length. Finally, the clamping unit 2 is de energized to release the base guider in the same original position as in step (1). By repeating these six steps, a large working stroke is achieved gradually [7].
\nThe “push” pattern piezoelectric actuator also needs six steps to obtain a step motion, as shown in Figure 1(c): (1) in the original position, all of the driving and clamping units have no power to fix the slider; (2) the clamping unit 2 obtains the power to hold the slider tightly; (3) the driving unit gets power to push the clamping unit 2, and since the slider is hold by clamping unit 2 tightly, it will move forward for small moving distance; (4) the clamping unit 1 holds the slider; (5) the clamping unit 2 is powered off to release the slider; (6) the driving unit returns to the original length when it loses power. At last, the clamping unit 1 releases the slider to the same condition as in the original position [8].
\nHybrid “Walker-pusher” pattern piezoelectric actuator is a hybrid of “Walker” and “pusher” modes. The difference is that the driving unit is inserted into the sliding block, and the clamping unit is assembled in the base in the “Walker-pusher” mode [9].
\nInchworm type piezoelectric actuator has been widely concerned by researchers because it is able to ensure long working stroke, high precision and large output at the same time. Many inchworm driving devices have been developed. According to the different motion forms, they could be divided into the linear actuator, the rotary actuator and the multi-DOF actuator.
\nAs early as in 1964, Stibitz developed the first “pusher” inchworm actuator with magnetostrictive elements to generate driving force, so as to solve the positioning problem of machining tools [10]. Three magnetostrictive elements are utilized as driving and clamping units to generate large stroke linear stepping motion. However, limited by the technical conditions, its performance is not very high, but the driving principle of the inchworm movement provides a new space for the research of precision positioning technology. After that, Hsu et al. proposed the inchworm piezoelectric actuator for the first time [11]. As shown in Figure 2(b), the piezoelectric element is applied to convert the electrical signal into mechanical motion, and two unidirectional clamps are combined to accumulate the movement of the electric element. A piezoelectric tube is inserted into the slider so that it is in the mixed “walker-pusher” mode. In 1968, Brisbane invented the first “walker” type inchworm piezoelectric actuator [12]. Two piezoelectric disks and one piezoelectric tube are assembled inside the slider, which makes it possible to realize the linear motion of the slider by walking which is illustrated in Figure 2(c).
\nInchworm actuators: (a) the first inchworm actuator [10]; (b) the first inchworm type piezoelectric actuator [11]; (c) the first “walker” pattern inchworm piezoelectric actuator [12].
However, due to the immaturity of piezoelectric materials at that time, the development of inchworm type piezoelectric actuators was hindered. For many years, even though there were still some researches on inchworm type piezoelectric actuators, most of them only focused on the theoretical research. Until the end of the 1980s, commercial piezoelectric elements were able to provide an output force of up to several thousand newtons, and the driving voltage dropped from 1000 V to 200 V. All of these provided great opportunities for the further development of piezoelectric actuators. After that many researchers have focused on the development of inchworm type piezoelectric actuators. By using three packaged piezoelectric stacks forming a U-shaped structure, Chen et al. proposed a “pusher” pattern inchworm type piezoelectric actuator [13]. The experimental results show that the maximum driving force is 13.2 N and the maximum speed is 47.6 μm/s. With the help of adding an integrated heterodyne interferometer as feedback device in the servo control system, an inchworm type piezoelectric actuator with fast response is developed by Moon et al. [14]. Based on the fast response characteristics of the servo control system, it can move to the target position quickly and reduce the hysteresis of the piezoelectric actuator.
\nHowever, an important problem is that the extension length of piezoelectric elements is very small, which brings trouble to the clamping unit to clamp the slider tightly. Therefore, many literatures are focusing on different methods to improve the clamping unit. As a typical compliant mechanism, the flexure hinge mechanism has been widely applied in the design of piezoelectric actuators to expand the elongation of piezoelectric elements due to its advantages of fast response, no friction and easy manufacturing. In 1988, Fujimoto firstly proposed an inchworm type piezoelectric actuator with flexible hinge [15]. This “walker” type piezoelectric actuator adopts C-shaped lever type flexible hinge on both clamping units to increase the clamping force, and it has great practical value for the real application of inchworm piezoelectric actuators. The magnification could be adjusted by changing the position of the pivot point. Kim constructed an inchworm platform with an amplification stage, and it utilized the flexure hinge as a lever mechanism to obtain a magnification of 8.4 at a leverage ratio of 3.6 [16].
\nThe research team of Jilin University and Zhejiang Normal University has carried out systematic research on the development of inchworm piezoelectric actuators. After years of experience, it has developed series of Inchworm piezoelectric actuators, and has achieved a series of remarkable research results. For example, Yang et al. proposed a novel linear piezoelectric actuator [17] (Figure 3). The proposed actuator adopts the principle of “pusher” motion pattern, and realizes the passive linear motion of the slider with the help of clamping and driving units. Based on the analysis of the working principle and the mechanical structure of the actuator, a linear driving mathematical model with the piezoelectric stack as the driving element is established, and its structure is analyzed by finite element method (FEM). The proposed inchworm piezoelectric actuator adopts the principle of bidirectional thrust, and realizes the consistency of driving characteristics in the process of forward and reverse directions. Experimental results show that the novel inchworm actuator has the characteristics of firm clamping, high frequency (100 Hz), high step speed (30 mm/min), large stroke (> 10 mm), high resolution (0.05 μm) and large driving force (100 N), which greatly improves the driving performance of the inchworm piezoelectric actuator. It has a broad further application in precision motion, micromanipulation, optical engineering, and precise positioning and so on.
\nInchworm actuator developed by Yang et al. [17].
Besides the inchworm piezoelectric actuators to achieve linear motion, some inchworm actuators which could obtain rotary motion have been developed by researchers. Kim et al. developed a new type of inchworm piezoelectric actuator that uses a combination of flexure hinge and piezoelectric drive technology to achieve rotational movement [18] (Figure 4). The device pioneered the use of linear output piezoelectric stacks to achieve an inchworm-shaped rotary motion, which has extremely high research significance. The device realizes the movement of the flexible hinge by controlling the power-on sequence of the four piezoelectric stacks, thereby driving the belt wound on the rotating shaft to drive the rotating shaft to rotate. The test results show that the resolution of the rotary drive device can reach 2.36 μrad, which is greatly improved compared to the previous rotary drive device.
\nInchworm type piezoelectric actuators with flexible belts by Kim et al. [18].
In view of the shortcomings of the existing inchworm actuators, Li et al. firstly designed an inchworm type piezoelectric actuator based on multi-layer torsional flexure hinges, which is able realize the rotary motion with large working stroke and high precision [4]. The developed actuator utilizes the piezoelectric stack to push the thin-walled flexure hinge structure to carry out relevant clamping. By controlling the working sequence of the clamping units in the first and second layers of the stator, the precise rotary motion around the fixed shaft is realized step by step. Its structure is divided into two main parts: rotor and stator. According to the function, it could be divided into the driving unit, the clamping unit and the preloading unit. The proposed device uses high-precision piezoelectric stack to push the thin-walled flexure hinge structure for relevant clamping. By controlling the clamping sequence of the piezoelectric clamping units in the first and second layers of the stator, the step-by-step ultra-precision rotary motion around the rotating shaft is realized. The stator is packaged with two layers of the self-centering piezoelectric clamping unit, rotary driving unit and preloading unit; the rotor is a variable interface rotating shaft, which can drive different objects by changing the connection style of the interface. The clamping unit is composed of the piezoelectric stack encapsulated in the stator and the self-centering flexure hinge. The preloading unit is utilized to pre tighten the clamping piezoelectric stack, and the clamping pressure is adjusted by adjusting the screw in length to control the engaging wedge block. The driving unit is composed of the driving piezoelectric stack, the driving indenting block and the corresponding parts of stator, which is used to apply rotating torque to the first layer of stator. The maximum diameter of stator is 80 mm and the diameter of rotor is 20 mm. This proposed inchworm type piezoelectric actuator could achieve stable stepping rotation output. The size of the driving voltage will affect the single-step rotation angle of the rotor: as the driving voltage increases, the rotation angle of the rotor also increases; when the driving voltage is less than 20 V, the rotor cannot work stably, so the minimum step angle of the rotor is 4.95 μrad. In the case that the driving voltage is 100 V, the maximum step angle of the rotor is 216.7 μrad. The maximum speed of the rotor is 6508.5 μrad/s, and the driving frequency is 30 Hz. The designed inchworm type piezoelectric actuator has a maximum output torque of 93.1 N·mm. Figure 5 shows that the driving voltage and clamping voltage are maintained at 100 V, and when the driving frequency is 1 Hz, after the rotor rotates 20 steps in the forward and reverse directions, the forward and backward error of the rotor is 0.76 μm. The total error of 20 steps is 38 μrad, so the step angle error of the inchworm type piezoelectric rotary actuator designed in this paper is 1.9 μrad.
\nRotary inchworm type piezoelectric actuators by Li et al. [4].
The disadvantage of the inchworm type piezoelectric actuator is that the structure is relatively complicated. The traditional inchworm type actuator needs to use at least two clamping units and one drive unit. In this way, multiple timing controls will cause the program to be complicated, which makes the inchworm piezoelectric actuator more complicated. The application has brought unfavorable effects. Based on the above work, a simplified inchworm type piezoelectric rotary actuator was designed and manufactured by Li et al., which uses a triangular lever flexure hinge to complete the clamping and driving actions at the same time [19].
\nBy using the triangular lever flexure hinge, one driving unit and one clamping unit could be utilized to realize stepping rotation of the rotor. Its stator is simplified from a two-layer structure to a single-layer structure, which reduces the overall height; the control adopts two-channel voltage control, which reduces the output of one clamp voltage. Figure 6 shows the overall structure of the simplified inchworm piezoelectric actuator, which mainly includes a stator, a rotor, four drive piezoelectric stacks, two clamp piezoelectric stacks and six pre-tightening screws. The stator material is 65Mn, and the drive hinge and clamp hinge are processed by wire cutting. The rotor diameter is 20 mm. The pre-tightening screws are used to adjust the pre-tightening force of the clamping piezoelectric stack and the driving piezoelectric stack. It is seen from Figure 6 that there is a small “jump” in the middle of each step, which is caused by the impact of the clamping unit on the rotor. When the driving voltage is 100 V and the driving frequency is 1 Hz, the maximum output torque of the designed simplified inchworm piezoelectric actuator is 19.6 N·mm. When the output load is greater than 19.6 N·mm, the rotor cannot run stably. When the driving voltage signal increases from 20 V to 100 V, the rotor step angle also increases, which coincides with the approximately proportional relationship between the output displacement of the piezoelectric stack and the driving voltage. The maximum step angle occurs when the drive voltage is 100 V and the drive frequency is fixed at 1 Hz, and the maximum step angle is 1360 μrad. When the drive voltage is less than 20 V, the simplified inchworm piezoelectric actuator cannot operate stably, so its operating resolution is 25 μrad. Contrary to the above, when the drive frequency is increased from 0 Hz to 200 Hz, the rotor step angle decreases rapidly. After 200 Hz, the rotor step angle stabilizes near a small value.
\nSimplified inchworm piezoelectric actuator by Li et al. [19].
How to obtain multi-DOF motion within a compact size is always the pursuing interest for researchers of the actuator field. Generally, same single-DOF actuators are assembled in series to achieve the so called multi-DOF motion, which brings the large structure size and assemble problems. With the help of integral flexure structure, Li et al. firstly proposed the 2-DOF inchworm piezoelectric actuator which could achieve both rotary and linear motions with a compact size, as is shown in Figure 7 [20]. The structure of the proposed 2-DOF actuator is composed of a stator and a slider. The stator and slider are subdivided into upper, middle and lower layers. Four right-angle flexure hinges acting as torsion springs are used to overlap the upper and middle layers of the stator. The linear displacement of the positioning platform relies on four flexure hinges to connect the middle and lower layers of the stator. Moreover, according to the characteristics of PZTs that can be driven by linear motion and rotational motion, four linear driving PZTs and one rotary driving PZT are respectively arranged on the upper and lower layers of the stator. As for the slider, each layer is fixed with a single clamping PZT. Using 65Mn as the material of the stator and slider to obtain higher elasticity, the device needs to be vacuum heat treated.
\nGraphic model of the 2-DOF inchworm piezoelectric actuator [20].
The positioning platform can realize linear movement and rotational movement according to different numbers of piezoelectric ceramics, placement positions and flexible hinges. For the rotary motion, the proposed actuator operates stably under a driving voltage of 100 V to 6 V. In the case that the driving voltage is reduced from 100 V to 6 V, the rotation angle of 10 steps decreases. This result may be that the degree of PZT expansion is directly proportional to the input voltage. In addition, with the lowering of the driving voltage, the amplitude of the first-order oscillation decreases from 28.20μrad to 3.75μrad. During the down-regulation process, it is found that the step displacement of the platform is shortened and the fluctuation amplitude is larger. The platform cannot work stably when the driving voltage is lower than 6 V. According to the total rotation angle of 4.52μrad, 20 steps, the minimum step angle is 0.23μrad. It indicates that this inchworm positioning platform has good performance under constant driving frequency and driving voltage. Under the condition of controlling the driving frequency, the speed increases with the increase of the driving voltage. When f = 21 Hz, the speed reaches the peak value. When f = 20 Hz and U = 100 V, the maximum speed is 3521.70 μrad/s. However, when the frequency is higher than 21 Hz, the mechanical structure of the drive cannot normally respond to the electrical signal. The energy conversion method can be explained as that the structure cannot convert all the electrical energy into mechanical energy due to the high frequency, and there will be a certain energy loss.
\nFor the linear motion, the designed inchworm actuator works continuously under a constant driving voltage of 10 V to 100 V. Under the driving voltage U = 100 V, the total displacement of the actuator in 10 steps is 82.30 μm, and the available single-step displacement is 8.23 μm. In the case that the input voltage is lower than 10 V, the actuator cannot work normally. According to the total rotation angle of 3.05μrad, 20 steps, the minimum step angle is 0.15 μm. The speed characteristics of the linear motion of the actuator under the clamp voltage have been mentioned. According to the experimental data, as the frequency increases, the speed increases. When the frequency is greater than 26 Hz, the speed gradually decreases. When f = 26 Hz and U = 100 V, the maximum speed is 105.31 μm/s.
\nAs shown in Table 1, three types of inchworm actuators all obtain large output force/torque and stroke, high resolution. Previous studies indicate that all types are able to realize the output force/torque of several to dozen newton/newton metre. The resolution scales of them all attain micrometer/microradian and based on its working principle, repeating the displacement output under the periodic signal, their stroke are all very large. Linear inchworm actuator is able to attain a high speed of 30 mm/min and rotary inchworm actuator achieves a high speed of 6508.5 μrad/s while Multi-DOF inchworm actuator is slower. To achieve the aim of multi-DOF, the structure of Multi-DOF inchworm actuator is also more complicated with a slower response.
\nType | \nStructure | \nMotion type | \nOutput speed | \nOutput force/torque | \nStroke | \n
---|---|---|---|---|---|
Linear | \nSimple | \nLinear | \nLarge | \nLarge | \nLarge | \n
Rotary | \nMedium | \nRotary | \nLarge | \nLarge | \nLarge | \n
Multi-DOF | \nComplicated | \nMulti-DOF | \nMedium | \nLarge | \nLarge | \n
Characteristics comparison of different inchworm actuators.
Over the past years, the inchworm actuator has been widely applied in some commercial areas. High resolution is one of the most significant advantages of the inchworm actuator. Therefore, ultra-precision manufacturing technology, precision focusing system and micro-robot obtains wide range use of inchworm actuator as their actuation sources [21, 22]. When coupled with large output force/torque, the inchworm actuator is also widely used in medical engineering areas like drug delivery, cell manipulation, lab on a chip [23, 24]. Compared with other piezoelectric actuators, the advantage of long stroke also employs inchworm actuator in precision position platform [25].
\nOne of the significant shortcomings of inchworm type piezoelectric is the complex structure which brings trouble for the manufacture and control. Figure 8 shows the structure of the proposed simplified piezoelectric actuator based on the parasitic movement of the flexure mechanism by Li et al. [26]. With the help of the parasitic movement of the flexure mechanism, only two piezoelectric elements are needed. It is mainly composed of the base, the slider, piezo-stack 1, piezo-stack 2, flexure mechanism 1, flexure mechanism 2, two wedge blocks, four micrometer knobs and eight screws. Piezo-stack 1 (AE0505D16, 5 × 5 × 20 mm, NEC/TOKIN CORPORATION) is inserted into the flexure mechanism 1 through the wedge block to push the linear slider. The assembly process of the piezoelectric stack 2 and the flexure mechanism 2 are the same. The high-precision four-micron knob (M6 from SHSIWI) is utilized to adjust the preloading force between the flexure mechanism and the slider. The slider is a commercial linear guide with high linearity produced by THK. The flexure mechanism is made of aluminum alloy AL7075 manufactured by WEDM. Screws are applied to stably assemble all components on the base. The overall size of the proposed stepping piezoelectric actuator is 100 mm × 60 mm × 18 mm.
\nStructure of the proposed simplified piezoelectric actuator and motion principle [26].
Two piezoelectric “legs” are required to alternately drive the slider, and this is why they are sometimes called “walking” type piezoelectric actuators. In addition, for traditional “walking” type piezoelectric actuator, in each piezoelectric “leg”, at least two piezoelectric elements are required (one for flexure movement and one for longitudinal movement). The movement principle of the stepping piezoelectric actuator is the “circular movement” of the piezoelectric “legs”. In short, each piezoelectric “leg” should achieve two movements in x and y directions.
\nIn the proposed study by Li et al., the parasitic movement of the flexure mechanism is applied to simplify the entire system. Generally, the piezo-stack could only achieve the one motion in its longitudinal direction. Whereas, as shown in Figure 8(b), with the aid of the asymmetrical flexure mechanism, the piezo-stack will generate an oblique upward force, which causes the motion displacement in both x and y directions. The parasitic movement L\nx in x direction is used to drive the linear movement of the slider. However, only one flexure mechanism cannot achieve walking motion, and at least two flexure mechanisms (“legs”) are required. In addition, during the movement, the input square wave voltages U\n1 and U\n2 have the same magnitude but different phases. The experimental results display that the application of the parasitic motion of the flexure mechanism is able to simplify the inchworm type piezoelectric actuator. The stepping motion of the proposed actuator requires only two piezoelectric elements and two input signals. Additionally, performance of the proposed simplified piezoelectric actuator (stepping performance, speed performance, and load performance) has a certain relationship with the input voltage and frequency. Under the conditions of U = 100 V and f = 1 Hz, the maximum step displacement ΔL = 1.75 μm. Under the condition of U = 30 V and f = 1 Hz, the minimum step displacement ΔL = 0.18 μm. When U = 100 V, f = 20 Hz, the maximum movement speed V\ns = 39.78 μm. This study verifies the feasibility of design and simplification of inchworm type piezoelectric actuators with parasitic motion of flexure mechanisms, and provides a new idea for the research of piezoelectric actuators. Potential applications in optical engineering and cellular operating systems require more work.
\nFor most of the inchworm type piezoelectric actuators, three input signals are necessary for one driving unit and two clamping units, which make the control system also complicated. In order to simplify the control system, Gao et al. proposed one novel piezoelectric inchworm actuator which uses a DC motor to drive the permanent magnet for alternate clamping, applies a laser beam sensor to detect the position of the permanent magnet and generates an excitation signal to drive the piezoelectric stack [27]. The actuator only needs a DC signal to drive and can adjust the frequency by changing the motor speed. The movement mechanism of the actuator is emphatically discussed, and the influence of the permanent magnet structure on the clamp is studied. The flexibility matrix method and COMSOL finite element software are used to simulate and analyze the flexure hinge. The driving signal for the piezoelectric stack is generated by self-sensing and automatically adapts to the frequency change, which simplifies the control signal of the inchworm actuator. The use of the magnetic clamping unit solves the serious friction and wear problems of the current clamping method of piezoelectric inchworm actuators. In addition, the driving unit and clamping unit of the proposed piezoelectric inchworm actuator are tested experimentally. The experimental results confirm the feasibility of the proposed scheme and obtained relevant optimized structural parameters.
\nThe overall structure of the proposed actuator, as shown in Figure 9, is mainly composed of a sensing unit, a driving unit and a clamping unit. As shown in Figure 9(a), the clamping unit is mainly composed of a DC motor, a motor base, a permanent magnet after magnetization (RPM, red), a permanent magnet before magnetization (NRPM, blue), bearings and a bearing housing. As shown in Figure 9(b), the sensing unit includes a cam, a laser beam sensor (OLS) and a bracket. The driving unit includes a flexible hinge mechanism with integrated piezoelectric stack (AE0505D16, NEC/TOKIN CORPORATION), a wedge-shaped adjusting mechanism (built-in a pair of wedges and a pre-tightening bolt) and a slider, as shown in Figure 9(c). The designed slider can slide in the sliding groove of the flexible hinge mechanism. Two clamping modules and cams are fixed at the end of the output shaft of the DC motor, and each clamping module is assembled by a radially polarized permanent magnet RPM and a non-radially polarized permanent magnet NRPM. The piezoelectric stack is preloaded by the wedge-shaped adjusting mechanism and nested in the installation slot of the flexible hinge mechanism. The laser beam sensor is supported by two brackets and generates an excitation signal by detecting the position of the cam. In addition, the support block, the DC motor and the bearing are assembled on the base with eight bolts.
\nStructure of the actuator by Gao et al.: (a) sensing unit; (b) sensing unit; (c) driving unit [27].
The proposed inchworm actuator by Gao et al. utilizes a DC motor to drive the permanent magnet for rotating to achieve alternate clamping. The actuator does not need to input the driving voltage signal of the piezoelectric stack. It only senses the position of the permanent magnet through the laser beam sensor, and generates an excitation signal to drive the piezoelectric stack to achieve precise linear displacement output. Its working principle is shown in Figure 10. Work performance of the proposed actuator was studied carefully. For the important component of the driving unit, the “Z” type flexure hinge, the flexibility matrix method is used to perform theoretical calculations. The error between the simulation results and the theoretical calculation results is about 2.13%, indicating the accuracy of the calculation; for the magnetic clamping unit, when the clamping distance is 1 mm, the magnetic clamping unit has better clamping capability. The experimental results show that the actuator has a good linear displacement. When U\ne = 150 V and f = 40 Hz, its maximum movement speed is 481.43 μm/s, and the maximum load is m = 950 g.
\nWorking principle of the inchworm piezoelectric actuator with simplified control system by Gao et al. [27].
The inchworm type piezoelectric drive device can not only obtain large output stroke, but also ensure high output accuracy and load-carrying capacity, which is favored by many scholars. The research of Inchworm piezoelectric driving device has its own characteristics at home and abroad, which provides a favorable technical basis for the development and application of piezoelectric precision drive technology. Besides the above future directions, the existing inchworm piezoelectric actuator is still in the stage of empirical design and test, lacking of relevant theoretical model guidance, and there are problems of empirical design and repeated attempts. Therefore, it is necessary to establish the dynamic model of the inchworm piezoelectric actuator to guide the design and research of the inchworm piezoelectric drive device. In addition, the miniaturization is always the hot point for piezoelectric actuators which could leads to the real application in many research and industrial fields.
\nRisaku et al. have developed a large stroke and high precision inchworm actuator [28] (Figure 11). With the combination of piezoelectric and electrostatic motion principles, the displacement accuracy of each step reaches tens of nanometers, which can be called ultra-high precision. The displacement accuracy is 59 nm/cycle, but the maximum travel distance is only 600 μm, which needs to be improved.
\nMiniaturized inchworm type actuators: (a) by Risaku et al. [28]; (b) by Mehmet et al. [29].
In order to solve the shortcomings that most inchworm type piezoelectric actuators require larger input voltage, Mehmet et al. took the lead in developing a new type of low voltage, largestroke, and large output inchworm actuator based on the micro-electromechanical systems (MEMS) [29]. It mainly applies the principle of electrostatic motion. Through the amplification of the flexible hinge, it achieves a total displacement of ±18 μm and an output force of ±30 μN at a low voltage of 7 V; a displacement of ±35 μm can be achieved at a voltage of 16 V, ±110 μN output force.
\nThe inchworm movement is a high-precision driving method that imitates the movement form of the inchworm in nature to realize the stepping movement of itself or the holding object. Inchworm movement is a kind of stepping movement, which is different from other continuous movement. Its movement can be regarded as a combination of movement and stop in time, but it is also a continuous movement from the perspective of the overall effect of the movement. Inchworm motion can easily achieve large-stroke step-by-step linear motion. Although scholars in various countries have conducted a number of research work on inchworm-type piezoelectric driving devices, most of their research content is linear inchworm driving devices, which involve rotation. There are few reports on the inchworm actuator, and the existing inchworm-type piezoelectric actuator has complex structure control, lacks relevant theoretical model guidance, and has problems of empirical design and repeated attempts. In the future, there is still a lot of work to be solved for the inchworm piezoelectric actuator to promote the real practical use of the inchworm piezoelectric actuator.
\nThis work is supported by the Natural Science Foundation of Zhejiang Province: LY19E050010, LY20E050009, LGF20E050001; General Research Projects of Zhejiang Provincial Department of Education: Y201943038; Zhejiang Provincial Key Research and Development Project of China: 2021C01181.ADDIN EN.REFLISTX.
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