Stationary stable cross-correlation pattern and task specific deviations in unresponsive wakefulness syndrome as well as clinically healthy subjects.

Brain dynamics is highly non-stationary, permanently subject to ever-changing external conditions and continuously monitoring and adjusting internal control mechanisms. Finding stationary structures in this system, as has been done recently, is therefore of great importance for understanding fundamental dynamic trade relationships. Here we analyse electroencephalographic recordings (EEG) of 13 subjects with unresponsive wakefulness syndrome (UWS) during rest and while being influenced by different acoustic stimuli. We compare the results with a control group under the same experimental conditions and with clinically healthy subjects during overnight sleep. The main objective of this study is to investigate whether a stationary correlation pattern is also present in the UWS group, and if so, to what extent this structure resembles the one found in healthy subjects. Furthermore, we extract transient dynamical features via specific deviations from the stationary interrelation pattern. We find that (i) the UWS group is more heterogeneous than the two groups of healthy subjects, (ii) also the EEGs of the UWS group contain a stationary cross-correlation pattern, although it is less pronounced and shows less similarity to that found for healthy subjects and (iii) deviations from the stationary pattern are notably larger for the UWS than for the two groups of healthy subjects. The results suggest that the nervous system of subjects with UWS receive external stimuli but show an overreaching reaction to them, which may disturb opportune information processing.

Dissociations between spontaneous electroencephalographic features and the perturbational complexity index in the minimally conscious state.

The analysis of spontaneous electroencephalogram (EEG) is a cornerstone in the assessment of patients with disorders of consciousness (DoC). Although preserved EEG patterns are highly suggestive of consciousness even in unresponsive patients, moderately or severely abnormal patterns are difficult to interpret. Indeed, growing evidence shows that consciousness can be present despite either large delta or reduced alpha activity in spontaneous EEG. Quantifying the complexity of EEG responses to direct cortical perturbations (perturbational complexity index [PCI]) may complement the observational approach and provide a reliable assessment of consciousness even when spontaneous EEG features are inconclusive. To seek empirical evidence of this hypothesis, we compared PCI with EEG spectral measures in the same population of minimally conscious state (MCS) patients (n = 40) hospitalized in rehabilitation facilities. We found a remarkable variability in spontaneous EEG features across MCS patients as compared with healthy controls: in particular, a pattern of predominant delta and highly reduced alpha power-more often observed in vegetative state/unresponsive wakefulness syndrome (VS/UWS) patients-was found in a non-negligible number of MCS patients. Conversely, PCI values invariably fell above an externally validated empirical cutoff for consciousness in all MCS patients, consistent with the presence of clearly discernible, albeit fleeting, behavioural signs of awareness. These results confirm that, in some MCS patients, spontaneous EEG rhythms may be inconclusive about the actual capacity for consciousness and suggest that a perturbational approach can effectively compensate for this pitfall with practical implications for the individual patient's stratification and tailored rehabilitation.

How well do neural signatures of resting-state EEG detect consciousness? A large-scale clinical study.

The assessment of consciousness states, especially distinguishing minimally conscious states (MCS) from unresponsive wakefulness states (UWS), constitutes a pivotal role in clinical therapies. Despite that numerous neural signatures of consciousness have been proposed, the effectiveness and reliability of such signatures for clinical consciousness assessment still remains an intense debate. Through a comprehensive review of the literature, inconsistent findings are observed about the effectiveness of diverse neural signatures. Notably, the majority of existing studies have evaluated neural signatures on a limited number of subjects (usually below 30), which may result in uncertain conclusions due to small data bias. This study presents a systematic evaluation of neural signatures with large-scale clinical resting-state electroencephalography (EEG) signals containing 99 UWS, 129 MCS, 36 emergence from the minimally conscious state, and 32 healthy subjects (296 total) collected over 3 years. A total of 380 EEG-based metrics for consciousness detection, including spectrum features, nonlinear measures, functional connectivity, and graph-based measures, are summarized and evaluated. To further mitigate the effect of data bias, the evaluation is performed with bootstrap sampling so that reliable measures can be obtained. The results of this study suggest that relative power in alpha and delta serve as dependable indicators of consciousness. With the MCS group, there is a notable increase in the phase lag index-related connectivity measures and enhanced functional connectivity between brain regions in comparison to the UWS group. A combination of features enables the development of an automatic detector of conscious states.

Precise detection of awareness in disorders of consciousness using deep learning framework.

Diagnosis of disorders of consciousness (DOC) remains a formidable challenge. Deep learning methods have been widely applied in general neurological and psychiatry disorders, while limited in DOC domain. Considering the successful use of resting-state functional MRI (rs-fMRI) for evaluating patients with DOC, this study seeks to explore the conjunction of deep learning techniques and rs-fMRI in precisely detecting awareness in DOC. We initiated our research with a benchmark dataset comprising 140 participants, including 76 unresponsive wakefulness syndrome (UWS), 25 minimally conscious state (MCS), and 39 Controls, from three independent sites. We developed a cascade 3D EfficientNet-B3-based deep learning framework tailored for discriminating MCS from UWS patients, referred to as "DeepDOC", and compared its performance against five state-of-the-art machine learning models. We also included an independent dataset consists of 11 DOC patients to test whether our model could identify patients with cognitive motor dissociation (CMD), in which DOC patients were behaviorally diagnosed unconscious but could be detected conscious by brain computer interface (BCI) method. Our results demonstrate that DeepDOC outperforms the five machine learning models, achieving an area under curve (AUC) value of 0.927 and accuracy of 0.861 for distinguishing MCS from UWS patients. More importantly, DeepDOC excels in CMD identification, achieving an AUC of 1 and accuracy of 0.909. Using gradient-weighted class activation mapping algorithm, we found that the posterior cortex, encompassing the visual cortex, posterior middle temporal gyrus, posterior cingulate cortex, precuneus, and cerebellum, as making a more substantial contribution to classification compared to other brain regions. This research offers a convenient and accurate method for detecting covert awareness in patients with MCS and CMD using rs-fMRI data.

A Patient With Minimally Conscious Syndrome Due to Cerebrovascular Accident Whose Symptoms Resolved With Zolpidem.

OBJECTIVE: In this report, we discuss the case of a patient with minimally conscious state (MCS) whose clinical condition significantly improved after Zolpidem therapy. We aim to provide supportive evidence for inclusion of zolpidem trials in patients with MCS. METHODS: Our team used electronic medical records, direct patient care experiences, and literature review to obtain information for this case report. RESULTS: Twice daily zolpidem therapy led to significant clinical improvement in our patient with MCS. In addition, this improvement was maintained throughout an increasingly arduous medical course. CONCLUSIONS: Minimally conscious state is a disorder with limited proven therapeutic options. Zolpidem administration has demonstrated immense benefit in a select population of patients, including ours. Given the potential for great improvement with limited downside, zolpidem trial presents an intriguing treatment option. Further clarification of prognostic features to stratify responders and nonresponders to therapy is needed.

Diagnostic value of PET imaging in clinically unresponsive patients.

Rapid advancements in the critical care management of acute brain injuries have facilitated the survival of numerous patients who may have otherwise succumbed to their injuries. The probability of conscious recovery hinges on the extent of structural brain damage and the level of metabolic and functional cerebral impairment, which remain challenging to assess via laboratory, clinical, or functional tests. Current research settings and guidelines highlight the potential value of fluorodeoxyglucose-PET (FDG-PET) for diagnostic and prognostic purposes, emphasizing its capacity to consistently illustrate a metabolic reduction in cerebral glucose uptake across various disorders of consciousness. Crucially, FDG-PET might be a pivotal tool for differentiating between patients in the minimally conscious state and those in the unresponsive wakefulness syndrome, a persistent clinical challenge. In patients with disorders of consciousness, PET offers utility in evaluating the degree and spread of functional disruption, as well as identifying irreversible neural damage. Further, studies that capture responses to external stimuli can shed light on residual or revived brain functioning. Nevertheless, the validity of these findings in predicting clinical outcomes calls for additional long-term studies with larger patient cohorts suffering from consciousness impairment. Misdiagnosis of conscious illnesses during bedside clinical assessments remains a significant concern. Based on the clinical research settings, current clinical guidelines recommend PET for diagnostic and/or prognostic purposes. This review article discusses the clinical categories of conscious disorders and the diagnostic and prognostic value of PET imaging in clinically unresponsive patients, considering the known limitations of PET imaging in such contexts.

Family caregivers improve the diagnostic accuracy of disorders of consciousness: from remote to near-bed auditory stimulation.

BACKGROUND: Family caregivers (FC) contribute to reducing the misdiagnosis rate in patients with disorders of consciousness (DOC). Unfortunately, the recent pandemic of COVID-19 imposed drastic restrictions that limited the access of FC to the sensory/cognitive stimulation protocols. Telemedicine approaches have been implemented to avoid discontinuity in care pathways and to ensure caregivers involvement in rehabilitation programs. AIM: The aim was to investigate whether the presence of FC remotely connected might help clinicians in eliciting higher cortically mediated behavioral responses in patients with DOC. DESIGN: Cross-sectional study. SETTING: Post-acute Unit of Neurorehabilitation. POPULATION: DOC due to severe brain injury. METHODS: Consecutive patients with DOC were assessed by means of the Coma Recovery Scale-Revised (CRS-R) by two expert examiners. Each patient underwent to five assessments in two weeks in three different conditions: 1) by the examiner only (standard); 2) with the verbal stimulation given by the FC remotely connected by PC tablet (caregiver in remote); and 3) with the verbal stimulation given by the FC physically present (caregiver in presence). RESULTS: Thirty patients with DOC (VS/UWS=10; MCS=20; mean age: 51, range: 21-79; vascular: 16; anoxic: 6; TBI=8) and their FC were enrolled. Higher total scores of CRS-R were recorded both in "caregiver in remote" and in "caregiver in presence" than in standard condition (standard vs. remote, Z=2.942, P=0.003; standard vs. presence, Z=3.736, P<0.001). Furthermore, the administration of the CRS-R with a FC, elicited higher levels of behavioral responses in MCS patients, than CRS-R performed in standard condition. In particular, 2 patients out of 30 (6.66%) showed higher scores and better diagnosis when the CRS-R was administered with FC in remote. Similarly, 5 out of 30 patients (16.66%) showed better diagnoses when the CRS-R was administered with FC in presence. Five patients changed diagnosis between standard and presence conditions (3 MCS- were diagnosed as MCS+; 2 MCS+ were diagnosed as conscious). CONCLUSIONS: Our findings add new evidence regarding the beneficial role of family members in the diagnosis of DOC, even mediated by telemedicine approach. CLINICAL REHABILITATION IMPACT: In future guidelines, FC should have an active and supporting role in the diagnostic and rehabilitative process of DOC.

Speech recovery after single-dose zolpidem in two minimally conscious patients with severe traumatic brain injuries: a case report.

BACKGROUND: In rare cases, zolpidem administration has been found to paradoxically improve cognition in patients with brain injury in disorders of consciousness. CASE PRESENTATION: Two minimally conscious plus (MCS+) patients at baseline, a 24-year-old woman 8 weeks post-traumatic brain injury (TBI) and 23-year-old man 6 weeks post-TBI, demonstrated behavioral improvements after off-label, single-dose administration of 10 mg of zolpidem. DISCUSSION/CONCLUSION: The patients demonstrated improved cognition on Coma Recovery Scale-Revised assessment after ingesting zolpidem. In particular, speech was substantially restored as one patient recovered functional communication and both demonstrated intelligible verbalizations for the first-time post-injuries following zolpidem. Overall, evidence is limited regarding the underlying mechanisms of various cognitive improvements in zolpidem response although studies incorporating neuroimaging are promising. The outcomes and similarities between these cases contribute to the current literature and highlight the need for rigorous studies in the future to guide zolpidem trials in patient care for those with DOC.

Minimally conscious state plus versus minus: Likelihood of emergence and long-term functional independence.

OBJECTIVE: Severe brain injuries can result in disorders of consciousness, such as the Minimally Conscious State (MCS), where individuals display intermittent yet discernible signs of conscious awareness. The varied levels of responsiveness and awareness observed in this state have spurred the progressive delineation of two subgroups within MCS, termed "plus" (MCS+) and "minus" (MCS-). However, the clinical validity of these classifications remains uncertain. This study aimed to investigate and compare the likelihood of emergence from MCS, as well as the functional independence after emergence, in individuals categorized as in MCS+ and MCS-. METHODS: Demographic and behavioral data of 80 participants, admitted as either in MCS+ (n = 30) or MCS- (n = 50) to a long-term neurorehabilitation unit, were retrospectively analyzed. The neurobehavioral condition of each participant was evaluated weekly until discharge, demise, or emergence from MCS. The functional independence of those participants who emerged from MCS was assessed 6 months after emergence. RESULTS: While only about half of the individuals classified as in MCS- (n = 24) emerged from the MCS, all those admitted as in MCS+ did, and in a shorter postinjury period. Despite these differences, all individuals who emerged from the MCS demonstrated similar high disability and low functional independence 6 months after emergence, regardless of their state at admission. INTERPRETATION: Individuals classified as MCS+ exhibited a higher likelihood of emergence and a shorter time to emergence compared to those in MCS-. However, the level of functional independence 6 months after emergence was found to be unrelated to the initial state at admission.

Medical comorbidities in patients with prolonged disorder of consciousness: A narrative review.

BACKGROUND: A few studies specifically addressed medical comorbidities (MCs) in patients with severe acquired traumatic or non-traumatic brain injury and prolonged disorders of consciousness (pDoC; i.e., patients in vegetative state/unresponsive wakefulness syndrome, VS/UWS, or in minimally conscious state, MCS). OBJECTIVE: To provide an overview on incidence of MCs in patients with pDoC. METHODS: Narrative review on most impacting MCs in patients with pDoC, both those directly related to brain damage (epilepsy, neurosurgical complications, spasticity, paroxysmal sympathetic hyperactivity, PSH), and those related to severe disability and prolonged immobility (respiratory comorbidities, endocrine disorders, metabolic abnormalities, heterotopic ossifications). RESULTS: Patients with pDoC are at high risk to develop at least one MC. Moderate or severe respiratory and musculoskeletal comorbidities are the most common MCs. Epilepsy and PSH seem to be more frequent in patients in VS/UWS compared to patients in MCS, likely because of higher severity in the brain damage in VS. Endocrine metabolic, PSH and respiratory complications are less frequent in traumatic etiology, whereas neurogenic heterotopic ossifications are more frequent in traumatic etiology. Spasticity did not significantly differ between VS/UWS and MCS and in the three etiologies. MCs are associated with higher mortality rates, worse clinical improvement and can impact accuracy in the clinical diagnosis. CONCLUSIONS: The frequent occurrence of several MCs requires a specialized rehabilitative setting with high level of multidisciplinary medical expertise to prevent, appropriately recognize and treat them. Comprehensive rehabilitation could avoid possible progression to more serious complications that can negatively impact clinical outcomes.

Pediatric disorders of consciousness: Considerations, controversies, and caveats.

Pediatric disorders of consciousness (PedDOC) encompass conditions that may occur following very severe traumatic or other forms of acquired brain injury sustained during childhood. As in adults, PedDOC is described as a disturbance of awareness and/or responsiveness. PedDOC is a complex condition that requires specialized care, infrastructures, and technologies. PedDOC poses many challenges to healthcare providers and caregivers during recovery and throughout development. In this commentary, we intend to highlight some considerations, controversies, and caveats on the diagnosis, prognosis and treatment of PedDOC.

Assessing consciousness and cognition in disorders of consciousness.

Detecting willful cognition in these patients is known to be challenging due to the patients' motor disabilities and high vigilance fluctuations but also due to the lack of expertise and use of adequate tools to assess these patients in specific settings. This review will discuss the main disorders of consciousness after severe brain injury, how to assess consciousness and cognition in these patients, as well as the challenges and tools available to overcome these challenges and reach an accurate diagnosis.

Neuro-orthopaedic assessment and management in patients with prolonged disorders of consciousness: A review.

BACKGROUND: Following a severe acquired brain injury, neuro-orthopaedic disorders are commonplace. While these disorders can impact patients' functional recovery and quality of life, little is known regarding the assessment, management and treatment of neuro-orthopaedic disorders in patients with disorders of consciousness (DoC). OBJECTIVE: To describe neuro-orthopaedic disorders in the context of DoC and provide insights on their management and treatment. METHODS: A review of the literature was conducted focusing on neuro-orthopaedic disorders in patients with prolonged DoC. RESULTS: Few studies have investigated the prevalence of spastic paresis in patients with prolonged DoC, which is extremely high, as well as its correlation with pain. Pilot studies exploring the effects of pharmacological treatments and physical therapy show encouraging results yet have limited efficacy. Other neuro-orthopaedic disorders, such as heterotopic ossification, are still poorly investigated. CONCLUSION: The literature of neuro-orthopaedic disorders in patients with prolonged DoC remains scarce, mainly focusing on spastic paresis. We recommend treating neuro-orthopaedic disorders in their early phases to prevent complications such as pain and improve patients' recovery. Additionally, this approach could enhance patients' ability to behaviourally demonstrate signs of consciousness, especially in the context of covert awareness.

Prognosis and enhancement of recovery in disorders of consciousness.

Disorders of consciousness after severe brain injury encompass conditions of coma, vegetative state/unresponsive wakefulness syndrome, and minimally conscious state. DoC clinical presentation pose perplexing challenges to medical professionals, researchers, and families alike. The outcome is uncertain in the first weeks to months after a brain injury, with families and medical providers often making important decisions that require certainty. Prognostication for individuals with these conditions has been the subject of intense scientific investigation that continues to strive for valid prognostic indicators and algorithms for predicting recovery of consciousness. This manuscript aims to provide an overview of the current clinical landscape surrounding prognosis and optimizing recovery in DoC and the current and future research that could improve prognostic accuracy after severe brain injury. Improved understanding of these factors will aid healthcare professionals in providing optimal care, fostering hope, and advocating for ethical practices in the management of individuals with DoC.

Ethical issues of nosology in disorders of consciousness.

The current classification scheme for severe disorders of consciousness (DoC) has several shortcomings. First, there is no consensus on how to incorporate patients with covert consciousness. Second, there is a mismatch between the definitions of severe DoC, based on consciousness, and the diagnosis of these same DoC, which is based on observable motoric responsiveness. Third, current categories are grouped into large heterogeneous syndromes which share phenotype, but do not incorporate underlying pathophysiology. Here we discuss several ethical issues pertaining to the current nosology of severe DoC. We conclude by proposing a revised nosology which addresses these shortcomings.

Covert consciousness.

Covert consciousness is a state of residual awareness following severe brain injury or neurological disorder that evades routine bedside behavioral detection. Patients with covert consciousness have preserved awareness but are incapable of self-expression through ordinary means of behavior or communication. Growing recognition of the limitations of bedside neurobehavioral examination in reliably detecting consciousness, along with advances in neurotechnologies capable of detecting brain states or subtle signs indicative of consciousness not discernible by routine examination, carry promise to transform approaches to classifying, diagnosing, prognosticating and treating disorders of consciousness. Here we describe and critically evaluate the evolving clinical category of covert consciousness, including approaches to its diagnosis through neuroimaging, electrophysiology, and novel behavioral tools, its prognostic relevance, and open questions pertaining to optimal clinical management of patients with covert consciousness recovering from severe brain injury.

An Overview of Ethical Issues Raised by Medicolegal Challenges to Death by Neurologic Criteria in the United Kingdom and a Comparison to Management of These Challenges in the USA.

Although medicolegal challenges to the use of neurologic criteria to declare death in the USA have been well-described, the management of court cases in the United Kingdom about objections to the use of neurologic criteria to declare death has not been explored in the bioethics or medical literature. This article (1) reviews conceptual, medical and legal differences between death by neurologic criteria (DNC) in the United Kingdom and the rest of the world to contextualize medicolegal challenges to DNC; (2) summarizes highly publicized legal cases related to DNC in the United Kingdom, including the nuanced 2022 case of Archie Battersbee, who was transiently considered dead by neurologic criteria, but ultimately determined to be in a vegetative state/unresponsive-wakeful state; and (3) provides an overview of ethical issues raised by medicolegal challenges to DNC in the United Kingdom and a comparison to the management of these challenges in the USA.

Head Control Contributes to Prediction of Emergence From the Minimally Conscious State in Children Admitted to Inpatient Rehabilitation.

OBJECTIVE: To examine the utility of head and trunk control, assessed using the Physical Abilities and Mobility Scale, for predicting emergence from a minimally conscious state (eMCS) among children with acquired brain injury admitted to inpatient rehabilitation in a disorder of consciousness (DoC). DESIGN: Retrospective study. SETTING: Pediatric inpatient rehabilitation hospital. PARTICIPANTS: Forty patients (2-21 years-old) directly admitted from acute care to pediatric inpatient brain injury rehabilitation in a DoC (average length of stay=85 days; N=40). INTERVENTIONS: Not applicable. MAIN OUTCOME MEASURES: State of consciousness (eMCS vs not) at discharge from inpatient rehabilitation. RESULTS: Forty-five percent of patients emerged from a minimally conscious state during inpatient rehabilitation. Admission state of consciousness and head control (but not trunk control) were significantly associated with eMCS and provided complementary prognostic information. Admission state of consciousness (ie, admitting in a vegetative state/unresponsive wakefulness syndrome) afforded the greatest negative predictive value (93.8%), whereas admission head control ability afforded the greatest positive predictive value (81.8% for any independent head control; 100% for maintaining head-up position for >30 seconds). Fifty percent of patients who emerged during the inpatient stay did not have independent head control at admission, highlighting the importance of exploring head control as a prognostic marker in conjunction with indicators with greater sensitivity (eg, state of consciousness at admission). CONCLUSIONS: A brief measure of head control at admission may contribute to identification of a subgroup of patients who are likely to emerge.

Development of a Novel Neurological Score Combining GCS and FOUR Scales for Assessment of Neurosurgical Patients with Traumatic Brain Injury: GCS-FOUR Scale.

BACKGROUND: Consciousness assessment is crucial for patients with traumatic brain injury. In this study, we developed a novel scoring system combining the Glasgow coma scale (GCS) and the full outline of unresponsiveness (FOUR) and evaluated its association with the intensive care unit (ICU) length of stay, mortality, and functional outcome. METHODS: We retrospectively analyzed the data from patients with traumatic brain injury admitted to the neurosurgical ICU of our institution during a 2-year period. The eye and motor components of the GCS and the brainstem reflex component of the FOUR were used to compute the GCS-FOUR. We performed statistical analysis to demonstrate the association between the GCS, FOUR, and GCS-FOUR and the ICU length of stay, mortality, the development of a persistent vegetative state, and desirable recovery. RESULTS: A total of 140 patients were included. The mean age was 30.6 years, and 89.3% were male. All 3 scores were associated with the ICU length of stay, mortality, a persistent vegetative state, and good recovery. In terms of predicting mortality, the GCS score exhibited a slight superiority compared with the other indexes, and the GCS-FOUR score showed a slight superiority over the other indexes in predicting for good recovery. CONCLUSIONS: The GCS-FOUR is a novel scoring system comparable to the GCS and FOUR regarding its association with functional status after injury, ICU length of stay, and mortality. The GCS-FOUR score provides greater neurological detail than the GCS due to the inclusion of brainstem reflexes, in addition to using the experience of healthcare providers with the GCS score compared with the FOUR in most settings.

Distinct Spectral Profiles of Awake Resting EEG in Disorders of Consciousness: The Role of Frequency and Topography of Oscillations.

The prolonged disorders of consciousness (PDOC) pose a challenge for an accurate clinical diagnosis, mainly due to patients' scarce or ambiguous behavioral responsiveness. Measurement of brain activity can support better diagnosis, independent of motor restrictions. Methods based on spectral analysis of resting-state EEG appear as a promising path, revealing specific changes within the internal brain dynamics in PDOC patients. In this study we used a robust method of resting-state EEG power spectrum parameter extraction to identify distinct spectral properties for different types of PDOC. Sixty patients and 37 healthy volunteers participated in this study. Patient group consisted of 22 unresponsive wakefulness patients, 25 minimally conscious patients and 13 patients emerging from the minimally conscious state. Ten minutes of resting EEG was acquired during wakefulness and transformed into individual power spectra. For each patient, using the spectral decomposition algorithm, we extracted maximum peak frequency within 1-14 Hz range in the centro-parietal region, and the antero-posterior (AP) gradient of the maximal frequency peak. All patients were behaviorally diagnosed using coma recovery scale-revised (CRS-R). The maximal peak frequency in the 1-14 Hz range successfully predicted both neurobehavioral capacity of patients as indicated by CRS-R total score and PDOC diagnosis. Additionally, in patients in whom only one peak within the 1-14 Hz range was observed, the AP gradient significantly contributed to the accuracy of prediction. We have identified three distinct spectral profiles of patients, likely representing separate neurophysiological modes of thalamocortical functioning. Etiology did not have significant influence on the obtained results.