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Brain Topography

, 22:233 | Cite as

Methodology for Combined TMS and EEG

  • Risto J. Ilmoniemi
  • Dubravko Kičić
Open Access
Original Paper

Abstract

The combination of transcranial magnetic stimulation (TMS) with simultaneous electroencephalography (EEG) provides us the possibility to non-invasively probe the brain’s excitability, time-resolved connectivity and instantaneous state. Early attempts to combine TMS and EEG suffered from the huge electromagnetic artifacts seen in EEG as a result of the electric field induced by the stimulus pulses. To deal with this problem, TMS-compatible EEG systems have been developed. However, even with amplifiers that are either immune to or recover quickly from the pulse, great challenges remain. Artifacts may arise from the movement of electrodes, from muscles activated by the pulse, from eye movements, from electrode polarization, or from brain responses evoked by the coil click. With careful precautions, many of these problems can be avoided. The remaining artifacts can be usually reduced by filtering, but control experiments are often needed to make sure that the measured signals actually originate in the brain. Several studies have shown the power of TMS–EEG by giving us valuable information about the excitability or connectivity of the brain.

Keywords

Transcranial magnetic stimulation Electroencephalography Cortical excitability Brain connectivity TMS EEG 

Introduction

The combination of transcranial magnetic stimulation (TMS; Barker et al. 1985) with simultaneous electroencephalography (EEG) provides us the possibility to non-invasively probe the brain’s excitability, time-resolved connectivity, and instantaneous state. The electric currents induced in the brain by TMS can depolarize cell membranes so that voltage-sensitive ion channels are opened and action potentials are initiated. Subsequent synaptic activations are directly reflected in the EEG (Ilmoniemi et al. 1997), which records a linear projection of the postsynaptic current distribution on the lead fields of its measurement channels (Ilmoniemi 2009). If the conductivity structure of the head is taken into account, the EEG signals can be used to locate and quantify these synaptic current distributions and to make inferences on local excitability and area-to-area functional connectivity in the nervous system (Komssi et al. 2002, 2004, 2007; Massimini et al. 2005).

In the first TMS-evoked EEG recordings by Cracco et al. (1989), transcallosal responses were reported with an onset latency of 8.8–12.2 ms from the pulse. As one could expect, the induced electric field produced large stimulus artifacts in the EEG leads. The same group (Amassian et al. 1992) stimulated the cerebellum and recorded responses from the interaural line. The artifacts were reduced by suitably adjusting the geometrical arrangement between the coil and the electrodes and a scalp-grounded metal strip between them. More advanced methods to deal with the electromagnetic interference have been devised, but other artifacts still pose a great challenge to TMS–EEG studies.

Using electronics that decouples the electrodes from the amplifier stages during the pulse, Ilmoniemi et al. (1997) mapped the scalp distribution of the electric potential due to the stimulation of the motor and visual cortices. TMS gave rise to an immediate strong response under the figure-of-eight coil. Within 5–10 ms, the activation shifted ipsilaterally; within 20 ms, the contralateral homologous areas were activated. The multiple-channel recording gave the possibility to determine the loci of the evoked neuronal activity, using dipole modeling (Scherg 1992) or minimum-norm estimation (Hämäläinen and Ilmoniemi 1994).

To obtain a good signal-to-noise ratio in EEG measurements, a number of requirements must be satisfied. The recording system must have a low noise level; at the same time, it must be insensitive to or it must recover quickly from the powerful TMS pulse. Magnetic stimulation is usually repeated dozens of times to increase the signal-to-noise ratio; various methods (averaging, principal component analysis, independent component analysis, subtraction methods, projection operators, etc.) can be used to extract the part of the response that is due to brain activity related to the experimental condition instead of unrelated events such as instrumental noise, background cerebral activity, muscle activation, or the decay of TMS-induced electrode polarization.

Among methods to stimulate the intact brain, TMS is unique in that it activates all its primary target neurons at the same time. When the rising phase of the magnetic field is over, the induced current density is reversed; the average induced electric field is zero. The average induced electric current may differ slightly from zero if the tissue conductivity changes during the brief pulse. Therefore, one expects no significant long-term effects from the TMS other than the initiation of action potentials and whatever processes these may, in turn, elicit. This is also true for EEG: the induced current being over within a fraction of a millisecond, the TMS-evoked brain response is probably due to cellular mechanisms that were triggered by the pulse, not by the pulse itself or remnants of accumulated charge. The latter is possible in principle if brain tissue contains rectifying and charge-storage elements for the induced current but no evidence appears to exist for such mechanisms to play a role in TMS.

The initial submillisecond synchrony, however, is soon lost because of conduction from the site of stimulation to the first synapses and further along the neuronal network initiating a cascade of serial and parallel effects. The best-known such effect is the motor-evoked potential (MEP), measured from peripheral muscles after TMS applied to the motor cortex. Because of the activation of inhibitory cells in addition to excitatory ones, the stimulated cortex appears to assume an inhibitory state for a period of 100 ms or more, at least in the motor cortex. This is known as the cortical silent period (CSP, Merton 1951; Abbruzzese and Trompetto 2002), which is evidenced by a period of quiescence of EMG activity following each MEP; the effect is most clearly seen when the subject is contracting the target muscle. However, local inhibition is not the only major effect: before the CSP has time to start, pyramidal cells are activated and send their signals to neighboring and distant parts of the brain and towards the periphery. From estimates of synaptic delays and axonal transmission velocities one can predict how soon after the pulse other brain regions can be activated. Such estimates might serve as prior information that may prove to be useful in sorting out artifacts from brain signals.

In addition to standard evoked responses, TMS may also trigger oscillatory activity (Paus et al. 2001; Fuggetta et al. 2005; Rosanova et al. 2009) or perturb ongoing rhythms (Rosanova et al. 2009), eliciting, e.g., event-related synchronization (ERS) or desynchronization (ERD) (Pfurtscheller and Lopes da Silva 1999) or more complicated phenomena. The measured signals give significant information about the functional state of the brain. For example, effects of vigilance, pharmaceuticals, task performance as well as previous magnetic stimulation on TMS-evoked EEG responses have been reported. EEG may also serve as a safety monitor of the overall brain activity in, e.g., epilepsy or stroke patients.

The recording and analysis of TMS-evoked responses follows for the most part the same logic and principles as those of any other evoked response data. Here we discuss mainly the unique features of TMS–EEG; the general principles of EEG have been thoroughly documented elsewhere (e.g., Regan 1989).

Mechanisms of TMS-Evoked EEG Generation

The TMS-induced electric field depends on the relative location and orientation of the coil and the head, the head’s large-scale structure and the local details of conductivity. As the cellular-scale structure is always unknown, only a coarse-grained electric field can be calculated, for example using a spherical model fitted to the local curvature of the intracranial cavity. The activation of the cortex depends on the orientation of the induced field with respect to the sulci, the optimal direction being perpendicular to the cortical surface (Fox et al. 2004). It has to be noted that both coil orientation and TMS intensity may affect the relative activation of different neuronal populations (e.g., pyramidal cells vs. inhibitory interneurons).

A curious and in some cases important observation regarding TMS-evoked EEG responses was pointed out by Ilmoniemi and Karhu (2008). At least in the spherically symmetric approximation of the head, no EEG signals would be observed if the TMS-triggered neuronal currents would be linearly related to and in the same direction as the TMS-induced field. Therefore, some significant features of the neuronal response may go unnoticed or at least be reduced in amplitude in the EEG, in particular if a round coil with its cylindrically symmetric induced field pattern is used. Since the cortical response to TMS in fact is highly nonlinear, this problem is probably not essential when focal figure-of-eight coils are used: the activation they produce is limited to such a small area that EEG signal cancellation is to a large extent avoided.

In contrast to the high variability of motor evoked potentials (MEPs), the TMS-evoked EEG averaged responses are generally highly reproducible, provided that the delivery and targeting of TMS is well controlled and stable from pulse to pulse and between experiments. Lioumis et al. (2009) reported high reproducibility of TMS-evoked EEG deflections with correlation factor exceeding 0.83 for all components up to 200 ms post-stimulus. Kičić (2009) and coworkers have identified several components of the EEG response to single-pulse TMS in the motor cortex (see Fig. 1): N15 (negative EEG deflection peaking approximately 15 ms post-stimulus), P30 (positive), N45, P55, N100, P180—a response structure that is in agreement with earlier findings (Komssi et al. 2002, 2004; Nikouline et al. 1999; Paus et al. 2001; Bender et al. 2005; Massimini et al. 2005; Esser et al. 2006). However, these components are not universal; in addition to interindividual differences, the responses depend on the exact coil location (Komssi et al. 2002) and orientation, on the state of the cortex (Nikulin et al. 2003), and on the vigilance of the subject (Massimini et al. 2005). The latter authors found that in non-REM dreamless sleep, the EEG response is even stronger than during wakefulness but that the response has fewer deflections and is spatially limited to the vicinity of the stimulated spot. Nikulin et al. (2003) found that the N100 response from the motor cortex is smaller during a motor task than during rest. Komssi et al. (2004), studying the dependence of the EEG response on TMS intensity, concluded that brain activation elicited by TMS depends on the distribution of membrane potentials at the time of stimulus: only weak pulses are required to activate neurons that are already close to the firing threshold.
Fig. 1

TMS-evoked EEG response from the motor cortex: single-channel response in the vicinity of the stimulated cortical site. The names of the components relate to the polarities and latencies. The structure and latencies of the peaks may vary slightly between subjects and measurements

EEG is not very sensitive to action potentials because of their symmetric current distribution and short duration. Thus, it is believed that postsynaptic currents generate most of the EEG. The initial TMS-evoked response, although difficult to measure without artifact contamination, appears to result from the activation of the target area whereas later deflections are partially due to activity triggered by axonally conducted signals. How the signals are transmitted depends strongly on the state of the firing of diffuse neuromodulatory systems of the brain (Massimini et al. 2005; Kähkönen et al. 2001), but also on local activation at the time of stimulus delivery (Romei et al. 2008a). The understanding of the TMS-evoked activity that is elicited at sites distant from the TMS target can benefit from knowledge of the anatomical connectivity of the brain as seen by diffusion tensor imaging (DTI; Le Bihan et al. 2001).

The Challenge of Combining TMS and EEG

If a standard EEG system is used together with TMS, it can take hundreds of milliseconds for the amplifiers to recover from the large induced electric signal, which may have saturated one or several of the amplifiers. Furthermore, even after the recovery, recharging of the TMS device for the next pulse may cause a significant artifact. Even in the most advanced TMS-compatible EEG systems, the recharging of an EEG-incompatible TMS device usually results in an artifactual peak appearing at variable latencies in the signal, depending on the power of the subsequent TMS pulse (Veniero et al. 2009). This problem can be avoided by using monophasic devices, or by inserting a recharging delay circuit in the stimulation instruments.

If the TMS coil is in contact with the electrodes, these may move with the result of ruining the measurement. In addition, standard electrodes are heated by repeated stimuli with a risk of skin burns. The loud click sound from TMS and skin sensations produce auditory and somatosensory responses, respectively, that may mistakenly be interpreted as TMS-evoked brain activity. One must also remember that reliable TMS–EEG studies require one to control accurately for the location of the TMS coil: a movement of 5 mm between conditions may cause a large change in the evoked signals (Komssi et al. 2002). This is particularly important in follow-up studies.

Standard EEG systems are often sufficient in studies where one wants to monitor EEG prior to the pulse or to measure changes of oscillatory activity several hundred milliseconds afterwards. Even then, one must make sure that the electrodes are not heated too much and that the TMS electronics does not cause artifacts.

Even with the state-of-the-art EEG systems that claim to have eliminated the electromagnetic artifact, the recording of TMS-evoked responses remains a challenge. Therefore, it is necessary to systematically analyze the design, execution, and data analysis of TMS–EEG recordings.

For simple monitoring of brain background activity or variations in response amplitude, a few electrodes usually suffice, but to determine source distributions in the brain, high-resolution recordings with some 50–100 recording channels are needed. There is little evidence of major gains in determining the source distribution if the number of electrodes is increased much above 100; the law of diminishing gains is certainly valid here.

Electrode Type

The purpose of the electrode is to allow the measurement of the electric potential on the skin. The optimal electrode should satisfy numerous physical requirements to operate in harsh electromagnetic environment of the TMS: it has to have small enough diameter not to overheat or to be affected too much by the forces due to induced currents, must be coated with suitable surface material for the best interface with the skin, and designed appropriately to meet all these requirements at the same time. Suitable electrodes to record TMS-evoked EEG activity are small Ag/AgCl pellet electrodes (e.g., Roth et al. 1992; Virtanen et al. 1999; Ives et al. 2006); these are now used in most commercial TMS–EEG systems.

Roth et al. (1992) found that the temperature of the electrode is elevated in proportion to the square of TMS intensity and the square of the electrode diameter while its thickness had no effect. Let us consider a thin silver disk with radius r = 5 mm, conductivity σ = 6.2 × 107 S/m, density ρ = 10490 kg/m3, and specific heat c = 235 J/(kg K). Let us assume a bipolar pulse with the magnetic field perpendicular to the disk, B = B 0sin(ωt), where B 0 = 1 T and ω = 2πt = 21 kHz if the duration of the pulse is Δt = 0.3 ms. For other orientations of the field, heating is less intense. TMS induces circular currents in the disk. The voltage around the electrode rim is equal to the time derivative of the magnetic flux through the disk: V = πr 2 dB/dt = πr 2 B 0ωcos(ωt); the induced electric field is E = V/(2πr) = (r/2)B 0ωcos(ωt). The induced current density, J = σE, causes ohmic heating at the rate of P = J 2/σ = σ(r 2/4)B 0 2 ω2cos2t). The average of cos2t) being ½, the energy density per pulse is ΔW = σ(r 2/8)B 0 2 ω2Δt. The temperature rise is then ΔT = ΔW/cρ = (π2/2)(σr 2/cρ)B 0 2 t = 10 K with the materials and pulse values that were assumed. Since silver is a good conductor of heat, the less heated center of the electrode diminishes the temperature rise by 50%. Thus, a single pulse would heat the electrode by 5 K. It is then possible to exceed with just a few pulses the limit of 41°C imposed by safety standards for medical equipment (IEC-601); somewhat higher temperatures may cause pain or even inflict skin burns. Temperature variations can also give rise to artifacts in the EEG signal. Standard disk electrodes are therefore unacceptable for use with TMS.

There are basically two ways to reduce eddy-current heating and forces on electrodes: reduction of current-loop areas or reduction of conductivity of the electrode. Virtanen et al. (1999) used a slit in an annulus-shaped electrode and found that heating was reduced by an order of magnitude. The problem can also be avoided by using small pellet electrodes. The other possibility is to use electrode material with a low value of conductivity. Thut et al. (2005) have used conductive plastic electrodes (Plastics One, Roanoke, VA, USA) coated with silver epoxy to create an Ag–AgCl surface for ensuring high-quality recordings.

It is generally recommended that the electrode impedance (resistance) is below 5 kΩ. There are two reasons for such a recommendation. One is thermal voltage noise (Johnson noise) in any resistance R; the noise spectrum is uniform (white) and its root-mean-square (RMS) amplitude in a 1-Hz frequency band is V n = 2(kTR)1/2, where T is the temperature and k is Boltzmann’s constant. However, Johnson noise does not usually limit the sensitivity of low-frequency EEG recordings as long as the electrode resistance is at most hundreds of kΩ. Another, more important reason for a low resistance in TMS studies is that artifacts from electrode movements or polarization are smaller when the contact resistance is low.

To achieve low electrode impedance, the skin under the electrode has to be cleaned, for example by alcohol; scrubbing the skin before applying electrode paste helps reduce the resistance further. As resistances may change during the measurement, it is recommended that the contacts be checked at least during long recording sessions. Further improvements in electrode contacts are possible: Julkunen et al. (2008) demonstrated that puncturing the epithelium under the scalp electrodes can reduce the TMS-induced artifact.

Amplifiers

The first obstacle one has to tackle when recording TMS-evoked brain responses is the large voltages induced in the loops formed by the combination of electrode leads, amplifier circuits, and the head. In each loop, the voltage is simply the time derivative of the magnetic flux threading the loop. This problem can be minimized by using twisted wire or coaxial cables and by compensating any remaining loops with oppositely oriented loops, but satisfactory compensation is difficult for a multichannel system. If a loop of just 1 cm2 remains (but note that typical loops are 1–2 orders of magnitude larger) and the TMS field increases from 0 to 1 tesla in 0.1 ms, the induced voltage is 1 V, orders of magnitude above the microvolts we measure from the brain.

As pointed out above, for many purposes one can use amplifiers that do not entirely avoid the EEG artifact; instead, they recover from the pulse after a delay, which is typically a large fraction of a second (Fuggetta et al. 2005; Iramina et al. 2002; Izumi et al. 1997). Iramina et al. (2003) designed an amplifier that includes an attenuator and a semiconductor switch. In one sample-and-attenuate stage, it actively attenuates the signal during the full duration of the TMS pulse. The EEG amplifiers were switched off 10 ms before the TMS pulse and switched back on 1 ms after; the TMS artifact remained for approximately 10 ms post-stimulus.

An effective way to deal with the electromagnetic artifact was developed by Virtanen et al. (1999). Their 60-channel EEG system (later commercialized by Nexstim Oy, Helsinki, Finland) is made TMS-compatible by gain-control and sample-and-hold circuits that prevent the strong artifact from being passed along the amplifier circuits. The blocking is triggered externally so that it begins immediately before the TMS pulse.

After the signals are high-pass filtered (f > 0.1 Hz) and amplified, they are light-intensity modulated and transferred to a light receiver unit with optical fibres. After that, the analog signals are low-pass filtered, with cut-off frequency of 500 Hz. The sampling rate during A/D conversion is 1450 Hz. The gain of the first amplifier stage A1 (see Fig. 2) is reduced during the TMS pulse. Simultaneously, the semiconductor switch SW, following A1, opens the signal path during the TMS pulse: the input voltage of the second amplifier stage A2 drops to zero and the voltage over capacitor C1 remains constant. To block large voltage peaks before the optical isolator, the sample-and-hold circuit S/H(A) latches the signal from A2 prior to the TMS pulse and keeps the output at this level during the pulse. S/H(B), located in the non-isolated section of the amplifier, prevents any residual from the stimulus artifact from being stored in the subsequent filters (FLT). To keep the differential input voltage of the preamplifier A1 in the linear operating range, the signal in the positive input terminal Vin+ is limited to ±9 V (LIM), and the voltage between the negative terminal Vin− and the amplifier ground is kept smaller than ±1 V by attaching the reference and ground electrodes close to each other. If the voltage exceeds these values, the 20-kΩ resistors R1 and R2 limit the current to a safe level in accordance with standards. The sample-and-hold circuit S/H(B) is controlled by the Hold(B) signal, which is activated about 50 μs before the TMS pulse and is released after the pulse (e.g., 2.5 ms later). The sample-and-hold time is called ‘the gating period’.
Fig. 2

Block diagram of the TMS-compatible EEG amplifier by Virtanen et al. (1999), capable of recording the EEG responses to single TMS pulses after just a few milliseconds

Ives and coworkers (Ives et al. 1998, 2006; Thut et al. 2003a, b, 2005) have presented an amplifier with a limited slew rate so that the electronics is not saturated by the pulse. The bandwidth is limited by the design to about 90 Hz, but this is not a serious limitation for most studies. The system does not eliminate the electromagnetic artifact completely, but since the electronics remains continuously operational, the artifact can be removed by forming the difference between responses in two conditions. The drawback in this arrangement is the requirement of baseline or control measurements and the increased noise level due to the combination of the two signals.

Veniero et al. (2009) studied artifacts in the EEG signal induced by TMS using BrainAmp amplifiers (BrainProducts GmbH, Munich, Germany). This EEG system allows one to adjust the sensitivity and operational range to match the applied TMS strength; in this case, the sensitivity of 100 nV/bit was used. A continuous recording mode without the use of sample-and-hold circuits was possible. The recorded signals revealed artifacts produced by the magnetic pulse lasting approximately 5 ms following the TMS onset, after which the signals appeared to have recovered to the baseline level.

Remaining Artifacts

In addition to the induced artifact, TMS electronics may disturb EEG recordings by capacitive coupling or by ground-loop interference. Even when the electromagnetic artifact is dealt with successfully, other artifact problems remain. In the following, these are dealt with one by one.

Eye Movements

There is a steady potential of several millivolts across each eyeball (cornea has a positive potential with respect to the opposite side of the eye; eye movements therefore cause a transient potential at the vertex. This potential can be large compared to the EEG signal. A voluntary downward rotation of the eye for 10 degrees produces a negative potential of about 50 μV at the vertex (Regan 1989). Some subjects perform systematic eye movements during the experimental sessions, for example synchronized with the preparatory interval. TMS can also trigger eye movements or blinks; these can be due to stimulation of eye-controlling brain areas or nerves innervating eye muscles or due to a startle effect caused by the sound of TMS or by scalp sensation from TMS. A solution to these problems is to monitor blinks and the movement of eyes with electrodes placed near them.

Muscle Activity

Superficial muscles on the head that are close to the EEG electrodes can cause strong artifacts in the recorded EEG signal, lasting up to about 30 ms. Scalp muscles may be activated by TMS pulses, or they may contract for other reasons. The muscle artifact results from the depolarization of the muscle fibers (Paus et al. 2001). Most likely to be activated are the neck, the mastication, facial (Friedman and Thayer 1991), frontal, temporal, or masseter muscles, depending on the placement of the TMS coil. The muscle artifact can be reduced by moving or reorienting the coil, by reducing TMS intensity or by a combination of these. Sometimes even a small reduction in TMS intensity, to 90% of MT or less, may help significantly; at such intensities, EEG responses are still readily observable (Komssi et al. 2004, 2007; Kähkönen et al. 2005).

Electrode Movement

When a polarizable electrode is in contact with an electrolyte, a double layer of charge forms at the interface. If the electrode is moved with respect to the electrolyte, this movement mechanically disturbs the distribution of charge at the interface and results in a momentary change of the potential until equilibrium is re-established. This potential is known as the motion and movement artifact and can be a substantial source of disturbances in EEG. One should be very careful and avoid any contact with electrodes with the TMS coil; the vibration due to the pulse and any reaction by the experimenter (if coil is held by hand) may cause the electrode motion artifact (see Virtanen et al. 1999; Kähkönen et al. 2001, 2003). For example, a load of 500 grams on a skin–electrode interface has been reported to produce a change of about 5 mV in electric potential (Tam and Webster 1977). Displacement of electrodes can be caused by the TMS coil touching them during stimulation, by muscle movements, or by electromagnetic forces in case of standard electrodes. The sensitivity of the electrodes to motion artifacts can be improved if the electrode–electrolyte interface is removed from a direct contact with the stimulating coil. Movement artifacts are in the frequency range of many bioelectric events (Geddes and Baker 1980), but filtering can be used with success.

Electrode Polarization

Electrode polarization is caused by electric currents between the electrolyte and the electrode. Theoretically, two types of electrodes are possible: perfectly polarizable and perfectly non-polarizable. Perfectly polarizable electrodes would be those in which no actual charge crosses the electrode–electrolyte interface when current is applied. The current across the interface is displacement current and the electrode behaves as it were a capacitor. In case of perfectly non-polarizable electrode, the current passes freely across the electrode–electrolyte interface. Real electrodes are somewhere between these extremes; the interface resembles a voltage source and a capacitor. If an electrode is polarized, it may take up to hundreds of milliseconds to return to equilibrium potential after the TMS pulse. Such a decay of the potential consists of one or more exponentially diminishing functions. Litvak et al. (2007) have dealt with this kind of artifacts by fitting exponential functions to the signal and by removing them.

Coil Click and Somatic Sensation

Electromagnetic forces within the coil give rise to a loud click (up to 120 dB), which obviously activates the subject’s auditory system and gives rise to an evoked potential that can be misinterpreted (Nikouline et al. 1999; Tiitinen et al. 1999; Bender et al. 2005). Good hearing protection helps, but is not usually sufficient. Even if the headphones would dampen the sound completely, some of it is conducted via the bones of the skull (Nikouline et al. 1999). Nikouline et al. (1999) showed that clicks, propagated both via air and via head bones, may evoke considerable auditory evoked potentials. Therefore, to guarantee complete elimination of the auditory response, masking sound must be used in addition to hearing protection (Fuggetta et al. 2005; Paus et al. 2001). To minimize the power of the masking noise, Massimini et al. (2005) applied noise that had the same frequency spectrum as the TMS clicks.

One also has to be aware of the fact that TMS-elicited scalp sensations (from muscle movements and direct sensory-neuron stimulation) produce evoked responses in the brain. Somatosensory evoked potentials (SEP) arising from the scalp are asymmetric, with the largest amplitude over the contralateral hemisphere (Bennett and Jannetta 1980; Hashimoto 1988), whereas the asymmetry of the TMS-evoked EEG responses in most cases is reversed (Nikulin et al. 2003; Komssi et al. 2004; Kähkönen 2005; Kičić et al. 2008; Bikmullina et al. 2009; see Fig. 3). The latency of the N45 response coincides with that involving the conduction of a motor command to the hand muscles and the return of subsequent sensory afferent to the cortex (Tokimura et al. 2000). However, the potential pattern of N45 remains unchanged regardless of sub- or suprathreshold TMS intensities, strongly indicating that N45 is not generated by afferent input from peripheral muscles (Nikouline et al. 1999; Paus et al. 2001). It is important to keep in mind that somatosensory stimulation of the scalp involves activation of the trigeminal nerve; the resulting SEPs have the largest peak-to-peak amplitude (<4 μV) in the first 80 ms (Bennett and Jannetta 1980; Hashimoto 1988); the later peaks are smaller (<2 μV, 100 ± 200 ms). Since the TMS-evoked EEG response has consistent alternating deflections starting at 15 ms post-stimulus, with the largest amplitudes being in the 100–200 ms interval, it is very difficult to evaluate the degree of contribution of somatosensory signals due to TMS-activated muscle movements (Nikouline et al. 1999). Investigators have come to the conclusion, however, that this is not a major problem (Paus et al. 2001; Nikouline et al. 1999; Nikulin et al. 2003).
Fig. 3

Averaged responses evoked by TMS in one subject. The signals are arranged according to the layout of the electrodes (the view is from the top of the head, nose pointing upward). Prominent response amplitudes at latencies of approximately 50–100 ms are dominant in the vicinity of the stimulated point (denoted with ‘×’). Note the lateralization of responses: in the vicinity of the stimulated site, the amplitudes are the highest, attenuating with increasing distance from the coil

How to Perform a Successful TMS-Evoked EEG Measurement

Recording EEG in the harsh electromagnetic environment of TMS is technically and methodologically challenging. With multichannel EEG recordings, artifact removal and data analysis starts already at the acquisition time. Proper technological solutions for recording environment, electrodes, amplifiers, careful methodological approach, and suitable analysis methods should be used to eliminate the effects of the strong TMS pulse, which is potent enough to cause large and readily visible disturbances in the EEG.

Subject Preparation

Apart from the technical equipment itself, the following critical factors should be considered in order to obtain high-quality EEG recordings. (1) A thorough preparation of the skin under the electrodes. Ideally, the impedances of the electrodes should be kept below 5 kΩ; a relatively small amount of gel should be applied in order to avoid ‘bridging’ between the electrodes. (2) The TMS coil should be immobilized with respect to the head, e.g., by pressing it against the head; this must be done without touching or even indirectly affecting the electrodes during the measurement.

Use of Neuronavigation for Target Selection

Komssi et al. (2002) showed that 10-mm shifts in coil location results in large changes in the TMS-evoked EEG pattern. Such findings have taught us two things: (1) Highly location-specific information can be obtained with TMS–EEG; (2) Proper interpretation of the results and their comparison within and between individuals require accurate control and knowledge of the cortical site that is stimulated. Traditionally, good control of the location has been possible when targeting the motor cortex; the stimulator coil has been adjusted so that the motor response is maximized or motor threshold is minimized. A functional targeting accuracy of a few mm has been possible. Another area that has a signature output is the visual cortex: TMS over the visual cortex can induce illusory visual percepts (phosphenes, Epstein et al. 1996; Silvanto et al. 2007; Romei et al. 2007, 2008a). For other areas of the cortex that are behaviorally silent (Penfield 1958), the precise targeting generally requires a navigation technique that computes from the measured coil location and orientation the induced electric field distribution in the brain and shows this superimposed on the subject’s own MR image. One can then move the peak of the induced field to the target.

Navigated TMS (nTMS; also called navigated brain stimulation or NBS) targeting system is based on individual structural magnetic resonance images (MRI) and provides precise information regarding cortical surface anatomy and/or lesions in individual patients. Using such a system, the cortical target as well as coil position and orientation can be monitored in real time throughout the sessions. Such a device allows one to determine the locations of the EEG electrodes, the orientation and location of the coil, and the induced electric field for every TMS pulse (e.g., Bikmullina et al. 2009; Raij et al. 2008). These recorded parameters can be recalled to reproduce the location and orientation (direction and angle) of the coil in subsequent stimulation sessions. In TMS-evoked EEG, accurate reproducibility of the stimulation parameters is essential for any comparative or longitudinal studies. However, it is important to emphasize that targeting of TMS according to anatomical brain structures does not always lead to the stimulation of identical functional areas in different subjects because of interindividual differences in structure–function relationships, and thus affect the accuracy of general indices of cortical responsiveness (Casali et al. 2010).

The latest technological incarnation in navigated TMS is based on a subject’s individual fMRI data for the respective cognitive function. Based on individual imaging results, TMS is subsequently used to probe whether the identified task-correlated activities in the fMRI-localized areas are necessary for successful task performance (Andoh et al. 2006; Sack et al. 2006; Thiel et al. 2005). Sparing et al. (2008) and coworkers have addressed this method by evaluating the accuracy and efficiency of different localization strategies for TMS-based primary motor mappings, and found the highest precision with fMRI-guided stimulation, which was accurate at the millimeter level. The same result was obtained by Sack et al. (2009), who revealed a systematic difference between tested approaches, with the individual fMRI-guided TMS neuronavigation yielding the strongest behavioral effect. This suggests that the different coil positioning approaches do not necessarily differ qualitatively in their TMS-induced effects, but in the magnitude of their respective effect sizes, and thus, in the number of participants required to reveal statistical significance of the observed TMS-induced changes. This approach accounts for inter-individual differences both in brain anatomy and in the functional architecture of the brain.

Practical Issues During Measurements

The use of the newest small pellet electrodes should be considered. Compared to the traditional larger electrodes, the pellet electrodes are less prone to interact with high magnetic field and therefore cause less movement artifacts and heating (e.g., Roth et al. 1992; Virtanen et al. 1999) and have by far better electrolyte contact with the scalp. These electrodes also nearly eliminate the DC shift that TMS pulses tend to produce.

The use of neuronavigation for targeting the TMS coil reduces muscle artifacts because errors in targeting are not over-compensated with increased TMS intensity. Muscle artifacts can sometimes be reduced by changing slightly the location or orientation of the coil (Ilmoniemi and Karhu 2008).

Bio-electromagnetic super-sensitive recordings should be done in an electromagnetically (EM) silent environment away from power lines and other EM disturbances (Simelius et al. 1995), and if necessary in a shielded room.

Data Analysis

General Steps

EEG data should be inspected epoch-by-epoch either visually or automatically together with the simultaneously recorded electro-oculogram (EOG). Each epoch with a considerable (above 100 μV) eye-blink signal should normally be rejected from further analysis. Also, epochs containing large artifacts from electromagnetic residuals or muscle activity (for example in the channels in the vicinity of the TMS coil) must be rejected. Following this procedure, the maximum rejection rate in a single session should remain reasonably low. If this is not possible, one must resort to more advanced methods that enable the separation of brain signals from artifacts. Such methods include signal-space projection, independent component analysis, modeling of sources and artifacts etc. If the analysis protocol includes data averaging, one has to end up in having several tens of epochs in each experimental condition. Importantly, if the analysis protocol comprises contrasting central (EEG) versus peripheral (EMG) manifestations of the phenomena under investigation (e.g., Kičić et al. 2008; Bikmullina et al. 2009), it is useful to bear in mind that if the EEG epoch is rejected, the corresponding EMG epoch must be rejected as well.

Regions of Interest

Most TMS–EEG investigations address the role or behavior of specific cortical areas (e.g., Raij et al. 2008) or hemispheres (e.g., Kičić et al. 2008) in the functional network under study. For that, a suitable analysis method is to select regions of interest (ROI) covered by a limited number of EEG channels. The ROIs for that purpose could be selected on the basis of the most pronounced TMS-evoked N100 response with the goal of addressing specific local excitability changes. If the channels were selected for the analysis after determining the individual peak locations of some of the components of the TMS-evoked EEG, the ROI would most probably shrink to 1–4 electrodes, giving thus very local information about cortical processing. If, on the other hand, the number of channels would be chosen on the basis of the extent of the potential pattern, the ROI might spread to more electrodes (10–15, e.g., Nikulin et al. 2003), giving more global hemispheric differences about the processing of interest. In this case, the local effect under investigation may lose statistical power. Optimal selection of a sufficient number of EEG channels in the definition of the ROI is recommended so as to keep focus on local excitability changes, but at the same time to be ‘widespread’ enough to capture the most pronounced EEG activity. For example, Tamas et al. (2003) showed that inhibition evoked by a distinct interneuronal population in spatially restricted postsynaptic compartments could locally and selectively modulate cortical excitability (see also Fitzgerald et al. 2009). Based on that finding, Bikmullina et al. (2009) selected for comparison ROIs of four EEG electrodes bilaterally with the goal of addressing interhemispheric differences in cortical processing of short-latency afferent inhibition (SAI) after unilateral afferent input.

Data Interpretation

Topography of TMS-Evoked Responses

A typical topographic plot of TMS-evoked EEG responses after stimulation of the right motor cortex is shown in Fig. 3. The usual purpose of such a measurement is to detect both local and distant effects of TMS: to measure both local excitability of the stimulated patch of the cortex and the spreading of TMS-evoked activity in a broader cortical network.

Figure 3 shows also that the overall response amplitudes are highest right under the coil, diminishing with increasing distance from the stimulation point. An important feature of TMS-evoked EEG topography is that even though only one cortical hemisphere was stimulated, bilateral EEG responses are evoked with different features. TMS-evoked activity spreads from the stimulation site ipsilaterally via association fibers and contralaterally via transcallosal fibers and to subcortical structures via projection fibers (Ilmoniemi et al. 1997; Komssi et al. 2002, 2004; Iwahashi et al. 2008; Verleger et al. 2009). Locally, within one hemisphere, an increased EEG activity can be seen in a number of neighboring electrodes, suggesting the spread of TMS-evoked activity to anatomically interconnected cortical areas (Bohning et al. 2000; Fox et al. 1997; Ilmoniemi et al. 1997; Komssi et al. 2002; Paus et al. 1997, 2001; Siebner et al. 2000; Strafella et al. 2001).

State Dependency of TMS-Evoked EEG Responses

An important challenge in interpreting TMS results comes from the fact that the effects of brain stimulation spread from the target site ortho- and antidromically in the neuronal network (Bohning et al. 2000; Fox et al. 1997; Ilmoniemi et al. 1997; Komssi et al. 2002; Paus et al. 1997, 2001; Siebner et al. 2000; Strafella et al. 2001). Similarly, the stimulated area is influenced by connected areas. Because area-to-area modulation is often inhibitory, corticospinal excitability (e.g., as reflected by the magnitude of the descending volley elicited by a given cortical stimulus) does not necessarily increase with the general level of cortical activity (Matthews 1999). Furthermore, virtual lesions (areas where normal operation is disrupted) are not limited to the stimulated spot but distributed along the neuronal network (Silvanto and Pascual-Leone 2008). There is growing evidence also from stimulation of cortical areas other than the motor cortex that the impact of TMS on the EEG response is not determined by the properties of the stimulus alone, but also decisively by the initial state of the activated brain region (Amassian et al. 1989; Schürmann et al. 2001; Ramos-Estebanez et al. 2007; Silvanto et al. 2007; Silvanto and Muggleton 2008).

Based on experimental findings that spontaneous oscillations in brain activity occur in well-defined neural networks (Goldman et al. 2002; Leopold and Logothetis 2003; Laufs et al. 2006; Beckmann et al. 2005; Damoiseaux et al. 2006), Romei et al. (2008a) analyzed features of the EEG-based prestimulus spectrogram to test the hypothesis that fluctuations in neuronal activity has a functional significance (Romei et al. 2008b) and may account for the variability in neuronal or behavioral responses to physically identical stimuli, such as TMS. They showed a direct link between fluctuations in alpha (8–14 Hz) activity over posterior recording sites and visual cortex excitability, measured by the EEG while stimulating the visual cortex by means of TMS. The visual cortex was more excitable when alpha activity was low, and less excitable when it was high, leading to TMS-induced visual percepts (phosphenes) or no percepts, respectively. Since the individual posterior alpha-band power correlates with the individual threshold for eliciting illusory, TMS-induced phosphenes (Romei et al. 2008b), they provided further evidence for the state dependency of visual perception and suggested that the spontaneous fluctuations of neuronal activity in areas of the visual network occurring in the presence of the task do not only modulate perception, but may underlie a functional role.

Benefits of TMS–EEG

Better Insight in Cortico–Cortical and Interhemispheric Interactions

Beside assessment of the general state of the brain (Massimini et al. 2005; Kähkönen et al. 2001), concurrent TMS and EEG have the potential to offer insights into how brain areas interact during sensory processing (Bikmullina et al. 2009; Kičić et al. 2008; Raij et al. 2008; Silvanto et al. 2006; Mochizuki et al. 2004), cognition (Bonnard et al. 2009), or motor control (Nikulin et al. 2003; Kičić et al. 2008). Furthermore, EEG as a measure of cortical activity after the TMS pulse gives us the possibility to study cortico–cortical interactions by applying TMS to one area and observe responses in remote, but interconnected areas, or, more generally, how activity in one area affects the ongoing activity in other areas (Mochizuki et al. 2004; Silvanto et al. 2006). EEG correlates of the role of the frontal eye field (FEF) in attentional selection were recently addressed by Taylor et al. (2007), hypothesizing that if TMS to FEF has direct effects on the visual cortex, these effects should also be visible in TMS-evoked EEG. Indeed, TMS of the right FEF caused a within-trial modulation of activity in the right visual cortex, evident as a protracted shift in the baseline of the event-related potential (ERP). As expected, none of the effects of FEF TMS either on visual activity or on oculomotor control occurred during TMS of a somatosensory control site. In a study of interhemispheric interactions during unilateral movements, Kičić et al. (2008) stimulated in separate sessions both the ipsi- and contralateral motor cortices. As the TMS-evoked N100 component was modulated selectively depending on whether the subject performed ipsi- or contralateral (to TMS) unilateral motor action, they demonstrated that the preparation and execution of unilateral movement is associated with bilateral changes in cortical excitability. Since only in the contralateral hemisphere these changes were associated with modulation of peripheral muscle MEP responses, they concluded that such dissociation implies that additional inhibitory mechanisms in the ipsilateral hemisphere were recruited in order to suppress its motor output. These findings illustrate the important contribution brought by methodological development of TMS–EEG into research of functional cortical connections, especially because the time course of the TMS effect on the EEG can be related to the time course of the ongoing cognitive processes.

More Direct Assessment of Cortical Inhibitory Processes

In analogy with cortical studies (Krnjević et al. 1966; Rosenthal et al. 1967), besides activating the large excitatory Betz cells, which are found in abundance in the motor cortex, TMS activates also the inhibitory interneurons: their post-synaptic effects appear to be represented as the TMS-evoked N100 component. This was originally suggested by Nikulin et al. (2003) and subsequently supported by several other groups (Bender et al. 2005; Bonato et al. 2006; Kičić et al. 2008; Bikmullina et al. 2009; Bonnard et al. 2009). It is important to have in mind that inhibitory processes in deeper cortical layers produce surface-negative potentials (Caspers et al. 1980), which identifies the N100 as a potential with inhibitory origins (Bender et al. 2005; Nikulin et al. 2003). The N100 is reportedly the most pronounced, the most reproducible, and long-lasting component in response to motor cortical TMS (Paus et al. 2001; Nikulin et al. 2003; Bender et al. 2005; Massimini et al. 2005; Kähkönen and Wilenius 2007; Kičić 2009; Lioumis et al. 2009; Bonnard et al. 2009). In a recent TMS–EEG study, Bonnard et al. (2009) revealed EEG correlates of cortical mechanisms underlying the interaction between cognitive and motor function by showing the relationship between anticipatory change in cortical excitability (as revealed by the contingent negative variation, CNV) and cortical inhibitory processes (as revealed by the TMS-evoked N100 component). They demonstrated that when subjects prepare to resist a TMS-evoked movement, the anticipatory processes cause a decrease in the cortical excitability by increasing inhibitory processes. Bikmullina et al. (2009) studied with TMS–EEG the cortical mechanisms of the phenomenon of short-latency afferent inhibition (SAI), which is attenuation of upper-limb MEPs by TMS due to preceeding stimulation of peripheral digital nerves or the median nerve at wrist (Tokimura et al. 2000; Classen et al. 2000; Tamburin et al. 2001). They showed that the attenuation of MEPs is positively correlated with the amplitude attenuation of the N100 response, revealing thus that even small individual changes in peripheral activity are paralleled by changes in cortically probed excitability. They interpreted these findings through an interaction between two inhibitory processes, partially coinciding over time. The first inhibition, due to incoming peripheral electrical stimulus (SAI), is directed at pyramidal cells and should produce hyperpolarization of the neuronal membrane, thus leading to a decrease in the MEP. At the time when the second, TMS-induced, inhibition starts, the neurons are already hyperpolarized due to SAI, resulting in a smaller N100 amplitude.

Deeper Understanding of Cortical Plasticity and Oscillations

The great promise in the use of repetitive TMS (rTMS) in the clinical domain is the possibility for plastic reorganization of cortical circuitry. The effects of rTMS have for the most part been demonstrated as effects on peripherally measured MEPs, becoming significant after delivery of a large number of pulses (Quartarone et al. 2005), and lasting for about 30 min post-rTMS (Peinemann et al. 2004). A number of studies indicate that such effects result from changes in the cerebral cortex (e.g., Di Lazzaro et al. 2002a, b; Quartarone et al. 2005). Indeed, the cerebral contribution has been revealed by numerous studies (for a comprehensive reference list, see Thut and Pascual-Leone 2009). However, only a few studies have used TMS-evoked EEG responses to directly demonstrate cortical effects due to rTMS (Esser et al. 2006; Van Der Werf and Paus 2006; Huber et al. 2008). Esser et al. (2006) elegantly transformed the classical protocol (Bliss and Lomo 1973) to a TMS–EEG experiment in order to directly demonstrate long-term potentiation (LTP). They assessed total EEG activity using the global mean-field power (GMFP) and demonstrated that EEG responses to single TMS pulses delivered to motor cortex are increased in amplitude following the rTMS, most profoundly at latencies of 15–50 ms. Interestingly, they found evoked activity being strongest in electrodes located over the left premotor cortex and explained that areas distant from the site of stimulation are activated indirectly as the TMS-induced perturbation propagates through excitatory long-range pathways. They suggested a rapid termination of activity in the motor cortex, while activity propagates to, and persists in premotor cortex, resulting in an overall larger EEG response at that site. These findings open up promising possibilities to use this technique to assess where in the cortex the potentiation (or depression) are induced.

Is addition to the common analysis of TMS-evoked EEG data in the time domain, there is an increasing number of reports that TMS can also alter the spectral content of the EEG signal. For example, TMS to M1 increases the power of the beta-frequency (15–30 Hz) cortical oscillations recorded from adjacent electrodes (Paus et al. 2001). On the other hand, the effect of M1 TMS on the alpha power (8–13 Hz) increases with the intensity of TMS (Fuggetta et al. 2005) and the number of pulses administered. This effect correlates also with the reduction in MEP size (Brignani et al. 2008). Based on a great interest in the functional role of oscillatory brain activity in specific frequency bands of human participants, this line of research is especially promising since TMS-induced EEG effects on resting subjects can be shown at surprisingly low TMS intensities, and in a fashion that varies with stimulation site, intensity and pharmacological challenge (Taylor et al. 2008; Brignani et al. 2008). Deeper understanding of brain oscillations is expected from combining knowledge on how oscillatory activity in specific frequency bands is related to distinct functions (Jensen et al. 2007; von Stein et al. 2000; Sauseng et al. 2005; Hanslmayr et al. 2007a; Jensen and Colgin 2007; Komssi and Kähkönen 2006) with data from TMS–EEG studies (for reviews, see Thut and Miniussi 2009; Komssi and Kähkönen 2006). An excellent example of such methodological synergy is the TMS–EEG study by Rosanova et al. (2009), where they perturbed different parts of the corticothalamic system and measured their natural frequencies. They showed that each corticothalamic module is normally tuned to oscillate at a characteristic frequency, thus indicating that the observed oscillations reflect the physiology and connectivity of the brain rather than the parameters of TMS. Importantly, Rosanova et al. demonstrated that the specific frequency of the response did not depend on TMS intensity, or activation threshold, but most likely depended on endogenous properties of the activated circuits, and concluded that electrically-recorded cortical rhythms triggered by TMS most likely reflect overall circuit properties at the level of cortical areas and connected thalamic/subcortical nuclei.

Prospects for Clinical Applications

It has been suggested that gamma synchrony is affected in schizophrenia (Light et al. 2006; Cho et al. 2006; Lee et al. 2003; Green and Nuechterlein 1999): there might be underlying alterations of thalamocortical circuits. Ferrarelli et al. (2008) investigated EEG responses to single-pulse TMS of the premotor cortex in schizophrenic patients. The investigators compared, within the same subjects, gamma-range spontaneous EEG activity with gamma responses evoked by single-pulse TMS. Consistent with previous findings (Kissler et al. 2000; Yeragani et al. 2006), they found no differences in the spontaneous gamma activity in schizophrenia patients and healthy subjects. However, in the same patients, they found a prominent decrease of TMS-evoked gamma oscillation. Thus, TMS–EEG offers a direct means to detect underlying deficits by challenging the relevant brain circuits with phasic (single TMS pulses) stimuli that engage the gamma oscillations, even when the deficits are not detectable under tonic conditions (Ferrarelli et al. 2008).

Huber et al. (2007) took advantage of TMS–EEG to record changes in cortical responses to TMS before and after 5-Hz repetitive stimulation in order to study slow-wave activity (SWA) during sleep. Their results indicate that high-frequency rTMS conditioning over the motor cortex leads to a local increase in the amplitude of the TMS-evoked EEG components between 10 and 130 ms, indicative of potentiation of premotor circuits, followed (during subsequent sleep) by a prominent local increase in SWA. They found that SWA (and presumably the need for sleep) is increased by events leading to synaptic potentiation and decreased by events leading to synaptic depression, and that their regulation can occur locally in cortical circuits (Tononi and Cirelli 2003, 2006). This opens up new possibilities for TMS–EEG as a clinical tool in sleep disorders and in sleep-quality assessment.

The detection of the natural frequencies with TMS–EEG described by Rosanova et al. (2009; see previous section) may also have diagnostic potential and clinical applications, as it opens up possibilities to map the natural frequency of different cortical areas in various neuropsychiatric conditions such as depression, epilepsy, or disorders of consciousness. Since natural frequencies reflect relevant circuit properties, TMS-evoked EEG may radically extend the window opened by peripherally evoked MEPs. Whereas TMS–MEP is limited to motor areas, TMS–EEG can access any cortical region (primary and associative) in any category of patients and may offer a straightforward and flexible way to detect and monitor the state of corticothalamic circuits.

Remaining Challenges

Generation of Evoked Responses

The ERP responses evoked by sensory stimuli are produced by neuronal activity associated with stimulus processing in a time-locked manner. They are extracted from ongoing brain activity and system noise by averaging epochs of activity evoked by a series of stimuli. ERs are presumably generated either independently of ongoing oscillatory brain activity or through a stimulus-induced reorganization of ongoing activity. In the literature, three different mechanisms for the genesis of ERs have been put forward, advocating that ERs (i) are additive to ongoing oscillations (Shah et al. 2004; Mäkinen et al. 2005; Mazaheri and Jensen 2006), (ii) may result from a phase resetting of ongoing oscillations (Sayers et al. 1974; Makeig et al. 2002; Fell et al. 2004; Hanslmayr et al. 2007b), or (iii) may arise from modulation of the mean amplitude of ongoing activity, a phenomenon called baseline shift (Nikulin et al. 2007). These models are relevant to practically every electrophysiological measurement involving perceptual, cognitive, or motor activity. Therefore, putting the ER generation mechanisms in the context of TMS-evoked EEG responses is important for attempting to understand the functional schemes of neural circuits underlying both the neural information processing and human cognition in general.

Conclusion

The combination of TMS and EEG provides unique possibilities to study and map the excitability of the brain as well as its functional connectivity in a time-resolved manner. Furthermore, TMS–EEG offers the possibility to obtain detailed information about the state of the brain. This is possible, however, only if proper techniques and methods are used to deal with the electromagnetic, electrode-polarization, eye-blink, muscle, auditory and other artifacts.

Even after all the techniques and precautions described in this paper have been properly taken into account and when the resulting signals look plausible or support one’s favorite hypothesis, one has to be aware of the real possibility that the nice-looking EEG responses may in fact still be partially due to artifacts. Therefore, one usually needs control experiments or other means to ascertain that the signal we see actually originates in the brain and nothing but the brain.

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution Noncommercial License which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2009

Authors and Affiliations

  1. 1.Department of Biomedical Engineering and Computational Science (BECS)Helsinki University of TechnologyTKKFinland
  2. 2.BioMag Laboratory, HUSLABHelsinki University Central HospitalHUSFinland
  3. 3.Viševica Komp d.o.o.ZagrebCroatia

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