Skip to main content
Psychoradiology logoLink to Psychoradiology
. 2022 Apr 22;2(1):23–31. doi: 10.1093/psyrad/kkac004

transcranial Direct Current Stimulation (tDCS) for the treatment and investigation of Phantom Limb Pain (PLP)

Shahrzad Damercheli 1,2, Malin Ramne 3,4, Max Ortiz-Catalan 5,6,7,8,
PMCID: PMC10917199  PMID: 38665143

Abstract

Phantom limb pain (PLP) is a complex medical condition that is often difficult to treat, and thus can become detrimental to patients’ quality of life. No standardized clinical treatments exist and there is no conclusive understanding of the underlying mechanisms causing it. Noninvasive brain stimulation (NIBS) has been used to find correlations between changes in brain activity and various brain conditions, including neurological disease, mental illnesses, and brain disorders. Studies have also shown that NIBS can be effective in alleviating pain. Here, we examined the literature on a particular type of NIBS, known as transcranial direct current stimulation (tDCS), and its application to the treatment of PLP. We first discuss the current hypotheses on the working mechanism of tDCS and then we examine published evidence of its efficacy to treat PLP. We conclude this article by discussing how tDCS alone, and in combination with brain imaging techniques such as electroencephalography (EEG) and magnetic resonance imagining, could be applied to further investigate the mechanisms underlying PLP.

Keywords: Neuropathic pain, phantom limb pain, noninvasive brain modulation, transcranial direct current stimulation, pain rehabilitation, brain imaging, guided plasticity therapy

Introduction

Pain is one of the main components of protective reflexes of the human body (Cervero, 2012). Acute pain is usually related to damage to the body tissues, and thus has a protective and beneficial role by alerting the individual to a dangerous situation (e.g. touching a burning hot pot). However, experiencing pain is undesirable when there is no potential tissue damage, such as in the case of neuropathic pain that is pain arising due to a lesion or disease affecting the somatosensory system (IASP, 2021). Phantom limb pain (PLP), a type of neuropathic pain perceived as arising from a missing limb, is one of the most common problems faced by amputees (Katleho et al., 2020). PLP is challenging to treat and no standard clinical treatment exists. Available treatments of PLP can be classified into pharmaceutical, surgical, and clinical therapy methods (Malone and Strube, 1988). However, side effects of the first two methods have been a controversial issue, which has led scientists to investigate noninvasive clinical therapies with higher efficacy and fewer side effects. Clinical therapies for the treatment of PLP include physical and psychological therapies, plasticity-guided therapies, and noninvasive brain stimulation (NIBS), among others (Limakatso and Parker, 2021). NIBS includes techniques for stimulating or modulating brain activities without physical intrusion through the skin (Albizu et al., 2019). According to the stochastic entanglement hypothesis, brain stimulation can potentially facilitate the reconditioning of impaired sensorimotor neural networks when in combination with plasticity-guided therapies such as phantom motor execution and sensory training (Ortiz-Catalan, 2018), i.e. NIBS facilitates plasticity in plasticity-guided therapies. Furthermore, the use of NIBS alone had been shown to be beneficial for PLP relief, in particular for transcranial direct current stimulation (tDCS) (Bolognini et al., 2013; Bolognini et al., 2015). Here, we reviewed current hypotheses on the working mechanism of tDCS, the evidence for the efficacy of tDCS as a treatment of PLP, and the role that such method could have as a neuroscientific tool for investigating PLP.

Mechanisms of Function Underlying the Effects of tDCS

Brain modulation can be top-down, where the stimulation is applied at the level of the central nervous system (CNS), or in the opposite direction (bottom-up), where the stimulation is applied to the peripheral nervous system propagating further to the CNS. Transcutaneous electrical nerve stimulation aims to stimulate the peripheral nervous system (bottom-up). The alleged purpose is to activate analgesic processes in the CNS by stimulating nonnociceptive neurons at the site of the nerve injury or amputation (DeSantana et al., 2009). The site of injury or the stump must be in a relatively healthy condition for transcutaneous electrical nerve stimulation to be applicable. For instance, stimulation of an open wound or irritated skin at the site of stimulation should be avoided.

Top-down NIBS can be delivered by at least four methods: transcranial magnetic stimulation (TMS), transcranial electrical stimulation (tES), transcranial focused ultrasound, and transcranial photobiomodulation (Albizu et al., 2019). Of the aforementioned techniques, TMS and tES have been most investigated as methods to alleviate pain (Lefaucheur, 2016; Lefaucheur et al., 2020).

TMS is based on the phenomenon of electromagnetic induction. An electric current is passed through a wire in a closed-circuit coil to produce a magnetic field that induces an electric current at the targeted site of the brain, resulting in induced action potentials (Bolognini et al., 2009). Conversely, tES applies a mild electrical field over the brain cortex to modulate brain activity in the targeted area. The effects of tES varies depending on the modulation of the current used to generate the electrical field, such as direct current (tDCS), alternating current, and random noises. Each mode of stimulation affects brain excitability differently, as does the placement of the electrodes (Inukai et al., 2016).

The tDCS electrodes can be configured in two different methods: conventional and focal (high definition, HD) montages. A conventional montage involves two large sponge electrodes. In the focal montage, the electrode types and their arrangement vary, where the most common positioning is surrounding an active electrode by four current-return electrodes (Villamar et al., 2013), see Fig. 1. The electrode placement and arrangement must be optimized based on targeted activation cortices. Based on the type of electrodes, the stimulation can be widespread over the skull or relatively restricted to a particular location, see Fig. 2. Either way, the stimulation is site specific, not site limited, which means the target of stimulation matters but the modulation is not exclusive to that specific spot (Costa et al., 2015). The conventional montage influences a wide area of the cortex, which makes it difficult to associate stimulation results with the alteration of any specific part of the brain. With focalized stimulation, the small electrodes are used to stimulate specific regions of the cortex (DaSilva et al., 2011). Therefore, the HD montage potentially allows for targeting specific areas of the brain such as the sensory and motor cortex separately.

Figure 1:

Figure 1:

(A) High-definition electrode. (B) High-definition configuration, an active high-definition electrode is surrounded by four return HD electrodes. Stimulation could be anodal or cathodal depending on the direction of the applied current. (C) Conventional configuration, the stimulation is used with two active and return sponge electrodes (D). The stimulation is called anodal if the active electrode is above the targeted area and is called cathodal if the electrode placement is vice versa.

Figure 2:

Figure 2:

Simulation of the electric field generated by the stimulation of M1 with the application of a 2-mA direct current. As shown, a more focal electric field is produced with use of HD electrodes (left image) compared with the sponge electrodes (right image). The images were created by running simulations using the realistic volumetric approach to simulate transcranial electric stimulation (Huang et al., 2016; Huang et al., 2019).

The effect of tDCS is not as large as TMS when it comes to the strength of facilitation (Brunoni et al., 2012); however, studies have shown that tDCS can be effective in alleviating pain (Brunoni et al., 2012; Costa et al., 2015; Lefaucheur, 2016) and also as a tool to investigate brain mechanisms (Bocci et al., 2015, 2018, 2019) (albeit, the functional mechanism of tDCS itself is not clearly understood). Based on current findings, there are two main hypotheses:

  • Hypothesis 1: influencing the activation threshold of stimulated neurons

Cortical reorganization can be interpretated as two different phenomena: reorganization in cortical mapping (somatotopic organization), and changes in the somatosensory and motor cortices’ excitability (Knotkova and Cruciani, 2006). Studies have shown that brain modulation alters the latter (cortical excitability), which has arguably lead to pain reduction in patients with neuropathic pain (Inukai et al., 2016). Compared with other brain modulation techniques such as TMS, the field induced by tDCS is too weak to induce action potentials. With tDCS, the aim instead is to modulate the resting membrane potentials of neurons, and thereby also their excitability and spontaneous activity (Stagg et al., 2018). tDCS is polarity dependent, which means that once a cell is stimulated, the resting membrane potential either moves in the direction of depolarization, which means that less synaptic input is required for an action potential to be induced, or in the direction of hyperpolarization, in which the excitability is reduced, see Fig. 3. Furthermore, the efficacy and directionality of the stimulation is highly dependent on the orientation of the neurons relative to the electric field. The efficacy is greatest when the neuron axis aligns with the electrical field, and smallest when the two are perpendicular (Stagg et al., 2018). Neurons oriented at 0° and 180° to the applied electrical field will be depolarized (Fig. 4 right) and hyperpolarized (Fig. 4 left), respectively. These directional effects mean that the modulatory effect of tDCS will vary depending on the placement of the electrodes and the alignment of neurons in the targeted region (Stagg et al., 2018), see Fig. 4.

Figure 3:

Figure 3:

Images from left to right show the normal neuron activity, a hyperpolarized neuron as the result of cathodal tDCS, and a depolarized neuron as the result of anodal tDCS, respectively. The images were created with the Brian 2 simulator for spiking neural networks (Stimberg et al., 2019).

Figure 4:

Figure 4:

The illustration shows a single neuron under the influence of electric field generated by tDCS. Depending on the relative position of the axonal orientation and the direction of the electric field, the neuron hyperpolarizes (left picture) or depolarizes (right picture) (Kabakov et al., 2012; Kandel, 2021). The image was created with BioRender.com.

The effect may also vary depending on the stimulation intensity and duration. Batsikadze et al. compared anodal and cathodal tDCS on the primary motor cortex (M1) at currents of 1 and 2 mA (Batsikadze et al., 2013). Motor evoked potentials were measured to evaluate changes in motor corticospinal excitability. Their results revealed that both anodal and cathodal stimulation at 2 mA increased the corticospinal excitability, while cathodal stimulation at 1 mA decreased it (Batsikadze et al., 2013).

  • Hypothesis 2: alterations in synaptic microenvironment potentially leading to longer lasting plastic changes

The effects of tDCS occur during stimulation and generally do not carry over once stimulation is terminated when the stimulation sessions are few and short (e.g. a single session of few seconds). However, after longer-lasting stimulation periods (e.g. five sessions of 20 minutes each) other effects can be observed. In 2002, Liebetanz et al. studied tDCS alone and in combination with a Na+-channel blocker (carbamazepine) or a N-methyl-D-aspartate (NMDA) receptor antagonist (dextromethorphan) (Liebetanz et al., 2002). In the controlled drug-free condition, cortical excitability increased up to 40% with anodal stimulation. The Na+-channel blocker selectively eliminated the anodal (excitatory) effects, revealing that facilitatory aftereffects demand depolarization of the membrane potentials. On the other hand, with application of the NMDA-receptor antagonist, the aftereffect of stimulation was eliminated in both the case of anodal and cathodal stimulation. This result indicates that NMDA receptors are involved in tDCS-induced neuroplasticity (Liebetanz et al., 2002). With the activation of NMDA receptors, Ca2+ influx increases. High and low rates of Ca2+ influx lead to long-term potentiation (LTP) and long-term depression (LTD), respectively, and there is a transition zone where the influx of Ca2+ does not induce either LTP or LTD (Stagg et al., 2018).

Furthermore, magnetic resonance spectroscopy studies have showed altered glutamate and gamma-aminobutyric acid levels after tDCS (Stagg et al., 2009). Glutamate and gamma-aminobutyric acid are neurotransmitters involved in the synaptic plasticity, LTP, and LTD mechanisms.

tDCS as a Treatment for PLP

Independent from physical therapy and psychological interventions, brain modulation by applying tDCS over different brain cortices has been used as a treatment to alleviate PLP (Bolognini et al., 2013; Bolognini et al., 2015). However, it is possible that integration of brain modulation and physical therapy could further reduce pain (Ortiz-Catalan, 2018) compared to applying each technique separately. Brain stimulation alone (Bolognini et al., 2015) and combined with physical therapy, including mirror therapy (Pinto et al., 2016; Boone and Frey, 2019; Ferreira et al., 2020; Gunduz et al., 2021), motor therapy (Kikkert et al., 2019), and motor imagery (Pacheco-Barrios et al., 2021), has been investigated in recent years. We summarize the outcomes of this research in Table 1.

Table 1:

Investigational studies on PLP with the application of tDCS.

Study design Number of participants Site of anodal electrode(s) Site of cathodal electrode Type of electrodes Simulation intensity (mA): polarity Number of sessions/duration of each session
(Bolognini et al., 2013) RCT–tDCS vs sham 8 M1 Supraorbital area 35 cm2 sponge electrodes 2 anodal 2/15 mins
7 PPC Supraorbital area 35 cm2 sponge electrodes 2 anodal 2/15 mins
(Bolognini et al., 2013) CO–double blinded 1 M1 Supraorbital area 35 cm2 sponge electrodes 2 anodal 5/15 mins
(Bolognini et al., 2015) CO–double blinded 8 M1 Supraorbital area 35 cm2 sponge electrodes 1.5 anodal 10/15 mins
(Pinto et al., 2016; Gunduz et al., 2021) RCT–tDCS and mirror therapy 112 M1 Supraorbital area 35 cm2 sponge electrodes 2 anodal 10/20 mins
(Kikkert et al., 2019) tDCS–task concurrent, 4 experiments 17 S1/M1 Supraorbital area 35 cm2 sponge electrodes 1 anodal 1 per experiment/20 mins
(Bocci et al., 2018) tDCS 8 Cerebellum 2 anodal 5/20 mins
(Bocci et al., 2019) CO 14 2 cm below inion- midline Right shoulder 35 cm2 sponge electrodes 2 anodal 5/20 mins
(Boone and Frey, 2019) Case study– tDCS followed by mirror therapy 1 M1 Supraorbital area 35 cm2 sponge electrodes 1.5 anodal 10/20 mins
(Segal et al., 2020) RCT–double blinded 30 M1 Forehead 35 cm2 sponge electrodes 1.5 anodal 10/22 mins
(Ferreira et al., 2020) RCT–pilot study–tDCS and mirror therapy 16 M1 Supraorbital area 25 cm2 sponge electrodes 2 mA 12/30 mins
(Pacheco-Barrios et al., 2021) Single arm protocol–tDCS and motor imagery 10 M1 Supraorbital area 35 cm2 sponge electrodes 2 mA 20/20 mins

RCT: randomized controlled trial, CO: crossover, S1/M1: sensorimotor cortex, hemisphere of anode (active electrode): contralateral to the side of amputation, hemisphere of cathode (return electrode): ipsilateral to the side of the amputation, Saline-soaked sponge electrodes.

Several parameters such as site of stimulation, current intensity, type of electrode, and polarity have varied in brain modulation studies with tDCS. Overall, these studies have shown that stimulation over M1, dorsolateral prefrontal cortex, posterior parietal cortex (PPC), and cerebellum can reduce pain (Lefaucheur et al., 2008; Lefaucheur, 2016).

Bolognini et al. conducted one of the first explorations on the management of PLP using tDCS (Bolognini et al., 2013). They tested the effect of a single session of anodal versus sham stimulation over M1 in a randomized crossover trial on eight participants (Bolognini et al., 2013). The study showed short-lasting analgesic effects of anodal tDCS on PLP for up to 90 minutes after stimulation. Following that, the same group evaluated the effect of five consecutive sessions of anodal tDCS over M1 as a single case study (Bolognini et al., 2013), and later in a larger group of eight participants (Bolognini et al., 2015). Their results were line with their earlier study and the followups in this second study revealed a five-times longer-lasting effect, arguably as a result of receiving a greater number of interventions.

The analgesic effect of a single session of tDCS over sensorimotor S1/M1 combined with phantom movement was examined and observed by Kikkert et al. (2019) on 17 individuals suffering from PLP in a randomized controlled double-blind study. Boone and Frey (2019) conducted a case study to evaluate the analgesic effect of applying 10 consecutive sessions of anodal tDCS over M1 followed by mirror therapy. At 1 week followup, pain reduction in average daily PLP was observed. Later, another randomized controlled double-blinded study by Segal et al. (2020) aimed to assess whether integration of mirror therapy with anodal tDCS over M1 increases the analgesic effect of mirror therapy in individuals with PLP. A higher pain reduction was observed in the group of participants who received both mirror therapy and active anodal tDCS, compared to the other two groups who received either mirror therapy alone or mirror therapy combined with sham tDCS. These findings were also supported by another pilot randomized controlled double-blinded study (Ferreira et al., 2020), in which it was observed that the combination of mirror therapy with anodal tDCS over M1 had a stronger analgesic effect than mirror therapy combined with sham tDCS, albeit in the treatment of neuropathic pain due to brachial plexus avulsion. However, the results of a larger randomized controlled clinical trial (Pinto et al., 2016; Gunduz et al., 2021), with the aim of comparing the effects of four possible combinations of active/covered mirror therapy and active/sham anodal tDCS over M1, showed that the effects of anodal tDCS over M1 and mirror therapy on PLP are independent and they found that only active anodal tDCS has a statistically significant effect on PLP alleviation. Last, an ongoing single arm study, by Pacheco-Barrios et al., is investigating the feasibility of a home-based combined treatment, constituting tDCS and motor imagery, for a larger remote trial (Pacheco-Barrios et al., 2021).

Regarding other brain areas, the influence of a single session of anodal and cathodal stimulation over PPC in seven participants with limb amputation was studied by Bolognini et al. (2013). They found that the hyperpolarization of PPC concluded in reduction of nonpainful phantom sensation, and neither excitation nor inhibition of PPC affected PLP or stump pain. Therefore, no correlation between the activation of PPC and reduction of PLP was observed.

The potential role of cerebellar tDCS in pain perception has been proposed by Bocci et al. (2015). Bocci et al. investigated the modulatory effect on PLP of cerebellar tDCS and concluded that the anodal tDCS, compared with sham tDCS, improved the paroxysmal pain (episodes of increased PLP) and nonpainful phantom sensation, but not the constant PLP (Bocci et al., 2018). One year later, Bocci et al. conducted a crossover, double-blind, sham-controlled clinical trial, with a similar protocol to the previous study, to compare the impact of the anodal, cathodal, and sham cerebellar tDCS on PLP. The results supported the earlier study and, furthermore, reduction in the phantom movement from stimulation of anodal polarity was observed (Bocci et al., 2019).

Limited studies have examined the effect of focalized stimulation with high-density tDCS (HD-tDCS) on pain. A study by Borckardt et al. found a reduction in cold and heat sensory thresholds, reduction in thermal windup pain, and mild changes to cold pain thresholds in 24 healthy participants (Borckardt et al., 2012). Furthermore, in another study by Villamar et al., reduction in overall pain perception was observed in individuals with fibromyalgia (Villamar et al., 2013). Although we found no studies on HD-tDCS used to treat PLP in the literature, the early studies mentioned previously indicate that this might be an alternative modality worthy of investigation.

tDCS as a Neuroscientific Tool for Investigating PLP

NIBS techniques have been used as investigational tools to explore the role of the different cortices of the brain. In particular, tDCS has been applied in many studies to investigate correlations between changes in brain activity and various brain conditions including neurological disease, mental illnesses, and brain disorders (Lippold and Redfearn, 1964; Hummel et al., 2005; Lefaucheur, 2016).

Regarding PLP, the exact mechanism underlying the condition is yet unknown (Di Pino et al., 2021). Many studies have shown correlations between PLP and reorganization of sensory and motor cortices, however, these results are not conclusive (Andoh et al., 2020). Flor et al. showed that displacement of adjacent regions into the region of the amputated limb in primary sensory cortex (S1) was positively correlated with the intensity of PLP (Flor et al., 1995). The same group later demonstrated that less intense PLP was correlated with more activity in the sensorimotor cortex during phantom motor imagery together with mirrored movement of the contralateral, intact limb (Diers et al., 2010). On the other hand, Kikkert et al. found a positive correlation between PLP and activity in the affected sensorimotor cortex (Kikkert et al., 2019). In a recent study, Andoh et al. found that these seemingly contradictory findings, at least in part, could be explained by differences in defining and analyzing regions of interest in functional magnetic resonance imaging (fMRI) data (Andoh et al., 2020). The results from this study also suggest that sensory and motor maps differentially relate to PLP. It must also be taken into consideration that the studies mentioned have only been able to show correlation, not causation. Thus, the cortical reorganization could in fact be a result of other processes that are the actual drivers of PLP (Ortiz-Catalan, 2018). More importantly, studies on the sensorimotor cortex have provided no direct relation to pain processing and how changes in this part of the brain could maintain or initiate PLP (Ortiz-Catalan, 2018).

Although tDCS is limited to neurons in the most superficial regions of the brain, the method by itself, or integrated with behavioral tasks, could still serve as a useful tool in investigating possible deeper cortical and subcortical mechanisms related to PLP, potentially when used in combination with brain imagining [electroencephalography (EEG) or fMRI]. Ultimately, tDCS can enable the possibility of conducting double-blinded studies, as it supports sham conditions. An example of such a study was performed by Kikkert et al. and consisted of a double-blinded, sham-controlled trial stimulating M1 during phantom movements while simultaneously recording brain activity with fMRI (Kikkert et al., 2019). They found that reduced activity in sensorimotor cortex after stimulation was associated with pain reduction. This study also showed that the reduction in cortical activity was preceded by altered activity in the mid- and posterior insula and in the secondary somatosensory cortex. Phantom motor execution was unverified, and thus implementing the decoding of myoelectric signals could be a further improvement on this approach (Ortiz-Catalan et al., 2016; Ortiz-Catalan, 2018). More studies along these lines, with tDCS applied to different cortical regions in combination with brain imaging, could help elucidate the possible mechanism behind PLP. Furthermore, monitoring the more peripheral parts of the nervous system during and after stimulation could also shed light on the involvement of descending pain modulation.

Conclusions

PLP is a complex medical condition that can be highly detrimental to the patients’ quality of life. PLP can be caused by injury at any level of the extremities and finding its underlying mechanisms is crucial for selecting optimal clinical treatments. The stochastic entanglement of the sensorimotor and pain processing networks has been hypothesized as the cause of PLP (Ortiz-Catalan, 2018), and treatments aiming to undo such entanglement by purposely activating sensorimotor networks have shown promising results (Ortiz-Catalan et al., 2016). Outcomes from such therapies could be further improved using brain modulation, for instance by facilitating motor learning in case of PLP by anodal tDCS (Pan et al., 2015). In particular, a mostly conventional montage of tDCS has been used as an investigational tool for understanding brain mechanisms and as a method of treatment of various brain conditions and neurological disorders. However, there are limited studies on its application on PLP and therefore its working mechanism as a treatment. So far, it has been hypothesized that depolarization of the affected sensorimotor cortex by anodal tDCS reduces PLP, however, how depolarization causes PLP reduction has not yet been understood.

Studies have nevertheless shown that conventional anodal tDCS over the affected M1 alone or integrated with other therapies has an analgesic effect on PLP, but more effectively designed randomized controlled clinical trials with sufficiently large numbers of participants are lacking. Therefore, larger and more rigorous studies, potentially using HD-tDCS and brain imaging techniques such as EEG or fMRI, could be highly beneficial in determining the efficacy of such approaches, and could possibly contribute to a better understanding of the pain mechanisms.

ACKNOWLEDGEMENTS

This work was supported by the Promobilia Foundation, the IngaBritt and Arne Lundbergs Foundation, the Swedish Research Council (Vetenskapsrådet), and the Swedish Institute. Furthermore, the authors would like to thank Jenna Anderson for feedback on this manuscript.

Contributor Information

Shahrzad Damercheli, Center for Bionics and Pain Research, Mölndal 43130, Sweden; Department of Electrical Engineering, Chalmers University of Technology, Gothenburg 41296, Sweden.

Malin Ramne, Center for Bionics and Pain Research, Mölndal 43130, Sweden; Department of Electrical Engineering, Chalmers University of Technology, Gothenburg 41296, Sweden.

Max Ortiz-Catalan, Center for Bionics and Pain Research, Mölndal 43130, Sweden; Department of Electrical Engineering, Chalmers University of Technology, Gothenburg 41296, Sweden; Operational Area 3, Sahlgrenska University Hospital, Mölndal 43180, Sweden; Department of Orthopaedics, Institute of Clinical Sciences, Sahlgrenska Academy, University of Gothenburg, Gothenburg 41345, Sweden.

Author contribution

S.D. drafted the manuscript with support from M.R. M.O.-C. supervised the work, edited the manuscript, and obtained the research funding. All authors reviewed and approved this manuscript before submission.

Conflict of interest statement. S.D. and M.R. declare no conflict of interest. M.O.-C. has consulted for a company that developed a treatment device based on his research.

References

  1. Albizu A, Indahlastari A, Woods AJ (2019) ‘Non-invasive Brain Stimulation’, Encyclopedia of Gerontology and Population Aging, pp. 1–8.. doi: 10.1007/978-3-319-69892-2_682-1. [Google Scholar]
  2. Andoh J, Milde C, Diers Met al. (2020) Assessment of cortical reorganization and preserved function in phantom limb pain: a methodological perspective. Sci Rep. 10:1–15. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Batsikadze G, Moliadze V, Paulus Wet al. (2013) Partially non-linear stimulation intensity-dependent effects of direct current stimulation on motor cortex excitability in humans. J Physiol. 591:1987–2000. [DOI] [PMC free article] [PubMed] [Google Scholar]
  4. Bocci T, Santarcangelo E, Vannini Bet al. (2015) Cerebellar direct current stimulation modulates pain perception in humans. Restor Neurol Neurosci. 33:597–609. [DOI] [PubMed] [Google Scholar]
  5. Bocci T, De Carolis G, Federica Met al. (2018) Platform session – NIBS: cerebellar direct current stimulation (tDCS) for the treatment of phantom limb pain (PLP). Clin Neurophysiol. 129:e227. [Google Scholar]
  6. Bocci T, De Carolis G, Ferrucci Ret al. (2019) Cerebellar transcranial direct current stimulation (ctDCS) ameliorates phantom limb pain and non-painful phantom limb sensations. Cerebellum. 18:527–35. [DOI] [PubMed] [Google Scholar]
  7. Bolognini N, Spandri V, Olgiati Eet al. (2013) Long-term analgesic effects of transcranial direct current stimulation of the motor cortex on phantom limb and stump pain: a case report. J Pain Symptom Manage. 46:1–4. [DOI] [PubMed] [Google Scholar]
  8. Bolognini N, Olgiati E, Maravita Aet al. (2013) Motor and parietal cortex stimulation for phantom limb pain and sensations. Pain. 154:1274–80. [DOI] [PubMed] [Google Scholar]
  9. Bolognini N, Spandri V, Ferraro Fet al. (2015) Immediate and sustained effects of 5-day transcranial direct current stimulation of the motor cortex in phantom limb pain. J Pain. 16:657–65. [DOI] [PubMed] [Google Scholar]
  10. Bolognini N, Pascual-Leone A, Fregni F (2009) Using non-invasive brain stimulation to augment motor training-induced plasticity. J Neuro Eng Rehab. 6:1–13. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Boone A, Frey S (2019) Combined use of transcranial direct current stimulation (tDCS) and mirror therapy for reduction of phantom limb pain: a case study. Am J Occup Ther. 73:7311520404p1. [Google Scholar]
  12. Borckardt JJ, Bikson M, Frohman Het al. (2012) A pilot study of the tolerability and effects of high-definition transcranial direct current stimulation (HD-tDCS) on pain perception. J Pain. 13:112–20. [DOI] [PubMed] [Google Scholar]
  13. Brunoni AR, Nitsche MA, Bolognini Net al. (2012) Clinical research with transcranial direct current stimulation (tDCS): challenges and future directions. Brain Stim. 5:175–95. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Cervero F (2012) Understanding Pain: Exploring the Perception of Pain. [Google Scholar]
  15. Costa TL, Lapenta OM, Boggio PSet al. (2015) Transcranial direct current stimulation as a tool in the study of sensory-perceptual processing. Atten Percept Psychophys. 77:1813–40. [DOI] [PubMed] [Google Scholar]
  16. Dasilva AF, Volz MS, Bikson Met al. (2011) Electrode positioning and montage in transcranial direct current stimulation. J Vis Exp. 51. doi:10.3791/2744. [DOI] [PMC free article] [PubMed] [Google Scholar]
  17. Desantana JM, Walsh DM, Vance Cet al. (2009) Effectiveness of transcutaneous electrical nerve stimulation for treatment of hyperalgesia and pain. Curr Rheumatol Rep. 10:492. [DOI] [PMC free article] [PubMed] [Google Scholar]
  18. Diers M, Christmann C, Koeppe Cet al. (2010) Mirrored, imagined and executed movements differentially activate sensorimotor cortex in amputees with and without phantom limb pain. Pain. 149:296–304. [DOI] [PubMed] [Google Scholar]
  19. Ferreira CM, De Carvalho CD, Gomes Ret al. (2020) Transcranial direct current stimulation and mirror therapy for neuropathic pain after brachial plexus avulsion: a randomized, double-blind, controlled pilot study. Front Neurol. 11:1–10. [DOI] [PMC free article] [PubMed] [Google Scholar]
  20. Flor H, Elbert T, Knecht Set al. (1995) Phantom-limb pain as a perceptual correlate of cortical reorganization following arm amputation. Nature. 375:482–4. [DOI] [PubMed] [Google Scholar]
  21. Gunduz ME, Pacheco-Barrios K, Bonin Pinto Cet al. (2021) Effects of combined and alone transcranial motor cortex stimulation and mirror therapy in phantom limb pain: a randomized factorial trial. Neurorehabil Neural Repair. 35:704–16. [DOI] [PMC free article] [PubMed] [Google Scholar]
  22. Huang Yu, Datta A, Bikson Met al. (2019) Realistic vOlumetric-Approach to Simulate Transcranial Electric Stimulation—ROAST—a fully automated open-source pipeline. J Neural Eng. 16:056006. [DOI] [PMC free article] [PubMed] [Google Scholar]
  23. Huang Y, Parra LC, Haufe S (2016) The New York Head - a precise standardized volume conductor model for EEG source localization and tES targeting. Neuroimage. 176:139–48. [DOI] [PMC free article] [PubMed] [Google Scholar]
  24. Hummel F, Celnik P, Giraux Pet al. (2005) Effects of non-invasive cortical stimulation on skilled motor function in chronic stroke. Brain. 128:490–9. [DOI] [PubMed] [Google Scholar]
  25. IASP (2021) International Association for the Study of Pain. Education. Terminology. Pain terms. Neuropathic pain. Updated 2017 Dec 14. https://www.iasp-pain.org/Education/Content.aspx?ItemNumber=1698#Neuropathicpain (2 May 2021, date last accessed). [Google Scholar]
  26. Inukai Y, Saito K, Sasaki Ret al. (2016) Comparison of three non-invasive transcranial electrical stimulation methods for increasing cortical excitability. Front Hum Neurosci. 10:1–7. [DOI] [PMC free article] [PubMed] [Google Scholar]
  27. Kabakov AY, Muller PA, Pascual-Leone Aet al. (2012) Contribution of axonal orientation to pathway-dependent modulation of excitatory transmission by direct current stimulation in isolated rat hippocampus. J Neurophysiol. 107:1881–9. [DOI] [PMC free article] [PubMed] [Google Scholar]
  28. Kandel ER, et al. (eds) (2021) Principles of Neural Science. Sixth edn. McGraw Hill, 57–73. [Google Scholar]
  29. Katleho L, Bedwell GJ, Madden VJet al. (2020) The prevalence and risk factors for phantom limb pain in people with amputations: a systematic review and meta-analysis. PLoS ONE. 15:1–21. [DOI] [PMC free article] [PubMed] [Google Scholar]
  30. Kikkert S, Mezue M, O'shea Jet al. (2019) Neural basis of induced phantom limb pain relief. Ann Neurol. 85:59–73. [DOI] [PMC free article] [PubMed] [Google Scholar]
  31. Knotkova H, Cruciani AR (2010) Non-invasive transcranial direct current stimulation for the study and treatment of neuropathic pain. Methods Mol Biol. 617:505–15. [DOI] [PubMed] [Google Scholar]
  32. Lefaucheur J-P, Antal A, Ahdab Ret al. (2008) The use of repetitive transcranial magnetic stimulation (rTMS) and transcranial direct current stimulation (tDCS) to relieve pain. Brain Stim. 1:337–44. [DOI] [PubMed] [Google Scholar]
  33. Lefaucheur J-P (2016) A comprehensive database of published tDCS clinical trials (2005–2016). Neurophysiol Clin. 46:319–98. [DOI] [PubMed] [Google Scholar]
  34. Lefaucheur J-P, Aleman A, Baeken Cet al. (2020) Evidence-based guidelines on the therapeutic use of repetitive transcranial magnetic stimulation (rTMS): an update (2014–2018). Clin Neurophysiol. 131:474–528. [DOI] [PubMed] [Google Scholar]
  35. Liebetanz D (2002) Pharmacological approach to the mechanisms of transcranial DC-stimulation-induced after-effects of human motor cortex excitability. Brain. 125:2238–47. [DOI] [PubMed] [Google Scholar]
  36. Limakatso K, Parker R (2021) Treatment recommendations for phantom limb pain in people with amputations: an expert consensus Delphi study. Pm&R. 13:1216–26. [DOI] [PMC free article] [PubMed] [Google Scholar]
  37. Lippold OCJ, Redfearn JWT (1964) Mental changes resulting from the passage of small direct currents through the human brain. Br J Psychiatry. 110:768–72. [DOI] [PubMed] [Google Scholar]
  38. Malone MD, Strube MJ (1988) Meta-analysis of non-medical treatments for chronic pain. Pain. 34:231–44. [DOI] [PubMed] [Google Scholar]
  39. Ortiz-Catalan M, Guðmundsdóttir RA, Kristoffersen MBet al. (2016) Phantom motor execution facilitated by machine learning and augmented reality as treatment for phantom limb pain: a single group, clinical trial in patients with chronic intractable phantom limb pain. Lancet North Am Ed. 388:2885–94. [DOI] [PubMed] [Google Scholar]
  40. Ortiz-Catalan M (2018) The stochastic entanglement and phantom motor execution hypotheses: a theoretical framework for the origin and treatment of phantom limb pain. Front Neurol. 9:1–16. [DOI] [PMC free article] [PubMed] [Google Scholar]
  41. Pacheco-Barrios K, Cardenas-Rojas A, de Melo PSet al. (2021) Home-based transcranial direct current stimulation (tDCS) and motor imagery for phantom limb pain using statistical learning to predict treatment response: an open-label study protocol. Princ Pract Clin Res. 7:8–22. [DOI] [PMC free article] [PubMed] [Google Scholar]
  42. Pan L, Zhang D, Sheng Xet al. (2015) Improving myoelectric control for amputees through transcranial direct current stimulation. IEEE Trans Biomed Eng. 62:1927–36. [DOI] [PubMed] [Google Scholar]
  43. Di Pino G, Piombino V, Carassiti Met al. (2021) Neurophysiological models of phantom limb pain: what can be learnt. Minerva Anestesiol. 87:481–7. [DOI] [PubMed] [Google Scholar]
  44. Pinto CB, Velez FGS, Bolognini Net al. (2016) Optimizing rehabilitation for phantom limb pain using mirror therapy and transcranial direct current stimulation: a randomized, double – blind clinical trial study protocol. JMIR Res Protoc. 5:e138. [DOI] [PMC free article] [PubMed] [Google Scholar]
  45. Segal N, Pud D, Amir Het al. (2020) Additive analgesic effect of transcranial direct current stimulation together with mirror therapy for the treatment of phantom pain. Pain Medicine. 22:255–65. [DOI] [PubMed] [Google Scholar]
  46. Stagg CJ, Best JG, Stephenson MCet al. (2009) Polarity-sensitive modulation of cortical neurotransmitters by transcranial stimulation. J Neurosci. 29:5202–6. [DOI] [PMC free article] [PubMed] [Google Scholar]
  47. Stagg CJ, Antal A, Nitsche MA (2018) Physiology of transcranial direct current stimulation. J ECT. 34:144–52. [DOI] [PubMed] [Google Scholar]
  48. Stimberg M, Brette R, Goodman D (2019) Brian 2, an intuitive and efficient neural simulator. eLife. 8:e47314. [DOI] [PMC free article] [PubMed] [Google Scholar]
  49. Villamar MF, Wivatvongvana P, Patumanond Jet al. (2013) Focal modulation of the primary motor cortex in fibromyalgia using 4×1-ring high-definition transcranial direct current stimulation (HD-tDCS): immediate and delayed analgesic effects of cathodal and anodal stimulation. J Pain. 14:371–83. [DOI] [PubMed] [Google Scholar]

Articles from Psychoradiology are provided here courtesy of Oxford University Press

RESOURCES