Brain electric correlates of strong belief in paranormal phenomena: intracerebral EEG source and regional Omega complexity analyses

The neurocognitive processes underlying the formation and maintenance of paranormal beliefs are important for understanding schizotypal ideation. Behavioral studies indicated that both schizotypal and paranormal ideation are based on an overreliance on the right hemisphere, whose coarse rather than focussed semantic processing may favor the emergence of 'loose' and 'uncommon' associations. To elucidate the electrophysiological basis of these behavioral observations, 35-channel resting EEG was recorded in pre-screened female strong believers and disbelievers during resting baseline. EEG data were subjected to FFT-Dipole-Approximation analysis, a reference-free frequency-domain dipole source modeling, and Regional (hemispheric) Omega Complexity analysis, a linear approach estimating the complexity of the trajectories of momentary EEG map series in state space. Compared to disbelievers, believers showed: more right-located sources of the beta2 band (18.5-21 Hz, excitatory activity); reduced interhemispheric differences in Omega complexity values; higher scores on the Magical Ideation scale; more general negative affect; and more hypnagogic-like reveries after a 4-min eyes-closed resting period. Thus, subjects differing in their declared paranormal belief displayed different active, cerebral neural populations during resting, task-free conditions. As hypothesized, believers showed relatively higher right hemispheric activation and reduced hemispheric asymmetry of functional complexity. These markers may constitute the neurophysiological basis for paranormal and schizotypal ideation.

Non-invasive brain stimulation in neglect rehabilitation: an update

Here, we review the effects of non-invasive brain stimulation such as transcranial magnetic stimulation (TMS) or transcranial direct current stimulation (tDCS) in the rehabilitation of neglect. We found 12 studies including 172 patients (10 TMS studies and 2 tDCS studies) fulfilling our search criteria. Activity of daily living measures such as the Barthel Index or, more specifically for neglect, the Catherine Bergego Scale were the outcome measure in three studies. Five studies were randomized controlled trials with a follow-up time after intervention of up to 6 weeks. One TMS study fulfilled criteria for Class I and one for Class III evidence. The studies are heterogeneous concerning their methodology, outcome measures, and stimulation parameters making firm comparisons and conclusions difficult. Overall, there are however promising results for theta-burst stimulation, suggesting that TMS is a powerful add-on therapy in the rehabilitation of neglect patients.

Intravenous mesenchymal stem cell therapy for traumatic brain injury.

OBJECT: Cell therapy has shown preclinical promise in the treatment of many diseases, and its application is being translated to the clinical arena. Intravenous mesenchymal stem cell (MSC) therapy has been shown to improve functional recovery after traumatic brain injury (TBI). Herein, the authors report on their attempts to reproduce such observations, including detailed characterizations of the MSC population, non-bromodeoxyuridine-based cell labeling, macroscopic and microscopic cell tracking, quantification of cells traversing the pulmonary microvasculature, and well-validated measurement of motor and cognitive function recovery. METHODS: Rat MSCs were isolated, expanded in vitro, immunophenotyped, and labeled. Four million MSCs were intravenously infused into Sprague-Dawley rats 24 hours after receiving a moderate, unilateral controlled cortical impact TBI. Infrared macroscopic cell tracking was used to identify cell distribution. Immunohistochemical analysis of brain and lung tissues 48 hours and 2 weeks postinfusion revealed transplanted cells in these locations, and these cells were quantified. Intraarterial blood sampling and flow cytometry were used to quantify the number of transplanted cells reaching the arterial circulation. Motor and cognitive behavioral testing was performed to evaluate functional recovery. RESULTS: At 48 hours post-MSC infusion, the majority of cells were localized to the lungs. Between 1.5 and 3.7% of the infused cells were estimated to traverse the lungs and reach the arterial circulation, 0.295% reached the carotid artery, and a very small percentage reached the cerebral parenchyma (0.0005%) and remained there. Almost no cells were identified in the brain tissue at 2 weeks postinfusion. No motor or cognitive functional improvements in recovery were identified. CONCLUSIONS: The intravenous infusion of MSCs appeared neither to result in significant acute or prolonged cerebral engraftment of cells nor to modify the recovery of motor or cognitive function. Less than 4% of the infused cells were likely to traverse the pulmonary microvasculature and reach the arterial circulation, a phenomenon termed the "pulmonary first-pass effect," which may limit the efficacy of this therapeutic approach. The data in this study contradict the findings of previous reports and highlight the potential shortcomings of acute, single-dose, intravenous MSC therapy for TBI.

Blocking brain-derived neurotrophic factor inhibits injury-induced hyperexcitability of hippocampal CA3 neurons

Brain trauma can disrupt synaptic connections, and this in turn can prompt axons to sprout and form new connections. If these new axonal connections are aberrant, hyperexcitability can result. It has been shown that ablating tropomyosin-related kinase B (TrkB), a receptor for brain-derived neurotrophic factor (BDNF), can reduce axonal sprouting after hippocampal injury. However, it is unknown whether inhibiting BDNF-mediated axonal sprouting will reduce hyperexcitability. Given this, our purpose here was to determine whether pharmacologically blocking BDNF inhibits hyperexcitability after injury-induced axonal sprouting in the hippocampus. To induce injury, we made Schaffer collateral lesions in organotypic hippocampal slice cultures. As reported by others, we observed a 50% reduction in axonal sprouting in cultures treated with a BDNF blocker (TrkB-Fc) 14 days after injury. Furthermore, lesioned cultures treated with TrkB-Fc were less hyperexcitable than lesioned untreated cultures. Using electrophysiology, we observed a two-fold decrease in the number of CA3 neurons that showed bursting responses after lesion with TrkB-Fc treatment, whereas we found no change in intrinsic neuronal firing properties. Finally, evoked field excitatory postsynaptic potential recordings indicated an increase in network activity within area CA3 after lesion, which was prevented with chronic TrkB-Fc treatment. Taken together, our results demonstrate that blocking BDNF attenuates injury-induced hyperexcitability of hippocampal CA3 neurons. Axonal sprouting has been found in patients with post-traumatic epilepsy. Therefore, our data suggest that blocking the BDNF-TrkB signaling cascade shortly after injury may be a potential therapeutic target for the treatment of post-traumatic epilepsy.

Subacute neural stem cell therapy for traumatic brain injury.

INTRODUCTION: Traumatic brain injury (TBI) frequently results in devastating and prolonged morbidity. Cellular therapy is a burgeoning field of experimental treatment that has shown promise in the management of many diseases, including TBI. Previous work suggests that certain stem and progenitor cell populations migrate to sites of inflammation and improve functional outcome in rodents after neural injury. Unfortunately, recent study has revealed potential limitations of acute and intravenous stem cell therapy. We studied subacute, direct intracerebral neural stem and progenitor cell (NSC) therapy for TBI. MATERIALS AND METHODS: The NSCs were characterized by flow cytometry and placed (400,000 cells in 50 muL 1x phosphate-buffered saline) into and around the direct injury area, using stereotactic guidance, of female Sprague Dawley rats 1 wk after undergoing a controlled cortical impact injury. Immunohistochemistry was used to identify cells located in the brain at 48 h and 2 wk after administration. Motor function was assessed using the neurological severity score, foot fault, rotarod, and beam balance. Cognitive function was assessed using the Morris water maze learning paradigm. Repeated measures analysis of variance with post-hoc analysis were used to determine significance at P < 0.05. RESULTS: Immunohistochemistry analysis revealed that 1.4-1.9% of infused cells remained in the neural tissue at 48 h and 2 wk post placement. Nearly all cells were located along injection tracks at 48 h. At 2 wk some cell dispersion was apparent. Rotarod motor testing revealed significant increases in maximal speed among NSC-treated rats compared with saline controls at d 4 (36.4 versus 27.1 rpm, P < 0.05) and 5 (35.8 versus 28.9 rpm, P < 0.05). All other motor and cognitive evaluations were not significantly different compared to controls. CONCLUSIONS: Placement of NSCs led to the cells incorporating and remaining in the tissues 2 wk after placement. Motor function tests revealed improvements in the ability to run on a rotating rod; however, other motor and cognitive functions were not significantly improved by NSC therapy. Further examination of a dose response and optimization of placement strategy may improve long-term cell survival and maximize functional recovery.

Nonclassical mechanisms of progesterone action in the brain: I. Protein kinase C activation in the hypothalamus of female rats.

The modulation of gene regulation by progesterone (P) and its classical intracellular regulation by progestin receptors in the brain, resulting in alterations in physiology and behavior has been well studied. The mechanisms mediating the short latency effects of P are less well understood. Recent studies have revealed rapid nonclassical signaling action of P involving the activation of intracellular signaling pathways. We explored the involvement of protein kinase C (PKC) in P-induced rapid signaling in the ventromedial nucleus of the hypothalamus (VMN) and preoptic area (POA) of the rat brain. Both the Ca2+-independent (basal) PKC activity representing the activation of PKC by the in vivo treatments and the Ca+2-dependent (total) PKC activity assayed in the presence of exogenous cofactors in vitro were determined. A comparison of the two activities demonstrated the strength and temporal status of PKC regulation by steroid hormones in vivo. P treatment resulted in a rapid increase in basal PKC activity in the VMN but not the POA. Estradiol benzoate priming augmented P-initiated increase in PKC basal activity in both the VMN and POA. These increases were inhibited by intracerebroventricular administration of a PKC inhibitor administered 30 min prior to P. The total PKC activity remained unchanged demonstrating maximal PKC activation within 30 min in the VMN. In contrast, P regulation in the POA significantly attenuated total PKC activity +/- estradiol benzoate priming. These rapid changes in P-initiated PKC activity were not due to changes in PKC protein levels or phosphorylation status.

Traumatic brain injury stimulates hippocampal catechol-O-methyl transferase expression in microglia.

Outcome following traumatic brain injury (TBI) is in large part determined by the combined action of multiple processes. In order to better understand the response of the central nervous system to injury, we utilized an antibody array to simultaneously screen 507 proteins for altered expression in the injured hippocampus, a structure critical for memory formation. Array analysis indicated 41 candidate proteins have altered expression levels 24h after TBI. Of particular interest was catechol-O-methyl transferase (COMT), an enzyme involved in metabolizing catecholamines released following neuronal activity. Altered catecholamine signaling has been observed after brain injury, and may contribute to the cognitive dysfunctions and behavioral deficits often experienced after TBI. Our data shows that COMT expression in the injured ipsilateral hippocampus was elevated for at least 14 d after controlled cortical impact injury. We found strong co-localization of COMT immunoreactivity with the microglia marker Iba1 near the injury site. Since dopamine transporter expression has been reported to be down-regulated after brain injury, COMT-mediated catecholamine metabolism may play a more prominent role in terminating catecholamine signaling in injured areas.

Wingless activity in the precursor cells specifies neuronal migratory behavior in the Drosophila nerve cord.

Neurons and their precursor cells are formed in different regions within the developing CNS, but they migrate and occupy very specific sites in the mature CNS. The ultimate position of neurons is crucial for establishing proper synaptic connectivity in the brain. In Drosophila, despite its extensive use as a model system to study neurogenesis, we know almost nothing about neuronal migration or its regulation. In this paper, I show that one of the most studied neuronal pairs in the Drosophila nerve cord, RP2/sib, has a complicated migratory route. Based on my studies on Wingless (Wg) signaling, I report that the neuronal migratory pattern is determined at the precursor cell stage level. The results show that Wg activity in the precursor neuroectodermal and neuroblast levels specify neuronal migratory pattern two divisions later, thus, well ahead of the actual migratory event. Moreover, at least two downstream genes, Cut and Zfh1, are involved in this process but their role is at the downstream neuronal level. The functional importance of normal neuronal migration and the requirement of Wg signaling for the process are indicated by the finding that mislocated RP2 neurons in embryos mutant for Wg-signaling fail to properly send out their axon projection.

Dominance of the proximal coordinate frame in determining the locations of hippocampal place cell activity during navigation.

The place-specific activity of hippocampal cells provides downstream structures with information regarding an animal's position within an environment and, perhaps, the location of goals within that environment. In rodents, recent research has suggested that distal cues primarily set the orientation of the spatial representation, whereas the boundaries of the behavioral apparatus determine the locations of place activity. The current study was designed to address possible biases in some previous research that may have minimized the likelihood of observing place activity bound to distal cues. Hippocampal single-unit activity was recorded from six freely moving rats as they were trained to perform a tone-initiated place-preference task on an open-field platform. To investigate whether place activity was bound to the room- or platform-based coordinate frame (or both), the platform was translated within the room at an "early" and at a "late" phase of task acquisition (Shift 1 and Shift 2). At both time points, CA1 and CA3 place cells demonstrated room-associated and/or platform-associated activity, or remapped in response to the platform shift. Shift 1 revealed place activity that reflected an interaction between a dominant platform-based (proximal) coordinate frame and a weaker room-based (distal) frame because many CA1 and CA3 place fields shifted to a location intermediate to the two reference frames. Shift 2 resulted in place activity that became more strongly bound to either the platform- or room-based coordinate frame, suggesting the emergence of two independent spatial frames of reference (with many more cells participating in platform-based than in room-based representations).

Cytochrome P450 in mammalian brain: Purification, anatomical distribution and regulation of the cytochrome P450 monooxygenase system in rat brain

The cytochrome P450 (P450) monooxygenase system plays a major role in metabolizing a wide variety of xenobiotic as well as endogenous compounds. In performing this function, it serves to protect the body from foreign substances. However, in a number of cases, P450 activates procarcinogens to cause harm. In most animals, the highest level of activity is found in the liver. Virtually all tissues demonstrate P450 activity, though, and the role of the P450 monooxygenase system in these other organs is not well understood. In this project I have studied the P450 system in rat brain; purifying NADPH-cytochrome P450 reductase (reductase) from that tissue. In addition, I have examined the distribution and regulation of expression of reductase and P450 in various anatomical regions of the rat brain.^ NADPH-cytochrome P450 reductase was purified to apparent homogeneity and cytochrome P450 partially purified from whole rat brain. Purified reductase from brain was identical to liver P450 reductase by SDS-PAGE and Western blot techniques. Kinetic studies utilizing cerebral P450 reductase reveal Km values in close agreement with those determined with enzyme purified from rat liver. Moreover, the brain P450 reductase was able to function successfully in a reconstituted microsomal system with partially purified brain cytochrome P450 and with purified hepatic P4501A1 as measured by 7-ethoxycoumarin and 7-ethoxyresorufin O-deethylation. These results indicate that the reductase and P450 components may interact to form a competent drug metabolism system in brain tissue.^ Since the brain is not a homogeneous organ, dependent upon the well orchestrated interaction of numerous parts, pathology in one nucleus may have a large impact upon its overall function. Hence, the anatomical distribution of the P450 monooxygenase system in brain is important in elucidating its function in that organ. Related to this is the regulation of P450 expression in brain. In order to study these issues female rats--both ovariectomized and not--were treated with a number of xenobiotic compounds and sex steroids. The brains from these animals were dissected into 8 discrete regions and the presence and relative level of message for P4502D and reductase determined using polymerase chain reaction. Results of this study indicate the presence of mRNA for reductase and P4502D isoforms throughout the rat brain. In addition, quantitative PCR has allowed the determination of factors affecting the expression of message for these enzymes. ^

Cytochrome P450 2D18 in the mammalian brain: Recombinant expression, purification, and characterization of xenobiotic and endobiotic metabolism

The cytochromes P450 (P450) comprise a superfamily of hemoproteins that function in concert with NADPH-cytochrome P450 reductase (P450-reductase) to metabolize both endogenous and exogenous compounds. Many pharmacological agents undergo phase I metabolism by this P450 and P450-reductase monooxygenase system. Phase I metabolism ensures that these highly hydrophobic xenobiotics are made more hydrophilic, and hence easier to extrude from the body. While the majority of phase I metabolism occurs in the liver, metabolism in extrahepatic organ-systems like the intestine, kidney, and brain can have important roles in drug metabolism and/or efficacy. ^ While P450-mediated phase I metabolism has been well studied, investigators have only recently begun to elucidate what physiological roles P450 may have. One way to approach this question is to study P450s that are highly or specifically expressed in extrahepatic tissues. In this project I have studied the role of a recently cloned P450 family member, P450 2D18, that was previously shown to be expressed in the rat brain and kidney, but not in the liver. To this end, I have used the baculovirus expression system to over-express recombinant P450 2D18 and purified the functional enzyme using nickel and hydroxylapatite chromatography. SDS-PAGE analysis indicated that the enzyme was purified to electrophoretic homogeneity and Western analysis showed cross-reactivity with rabbit anti-human P450 2D6. Carbon monoxide difference spectra indicated that the purified protein contained no denatured P450 enzyme; this allowed for further characterization of the substrates and metabolites formed by P450 2D18-mediated metabolism. ^ Because P450 2D18 is expressed in brain, we characterized the activity toward several psychoactive drugs including the antidepressants imipramine and desipramine, and the anti-psychotic drugs chlorpromazine and haloperidol. P450 2D18 preferentially catalyzed the N-demethylation of imipramine, desipramine, and chlorpromazine. This is interesting given the fact that other P450 isoforms form multiple metabolites from such compounds. This limited metabolic profile might suggest that P450 2D18 has some unique function, or perhaps a role in endobiotic metabolism. ^ Further analysis of possible endogenous substrates for P450 2D18 led to the identification of dopamine and arachidonic acid as substrates. It was shown that P450 2D18 catalyzes the oxidation of dopamine to aminochrome, and that the enzyme binds dopamine with an apparent KS value of 678 μM, a value well within reported dopamine concentration in brain dopaminergic systems. Further, it was shown that P450 2D18 binds arachidonic acid with an apparent KS value of 148 μM, and catalyzes both the ω-hydroxylation and epoxygenation of arachidonic acid to metabolites that have been shown to have vasoactive properties in brain, kidney, and heart tissues. These data provide clues for endogenous roles of P450 within the brain, and possible involvement in the pathogenesis of Parkinson's disease. ^

THE EFFECT OF GABAMIMETICS ON NEUROTRANSMITTER RECEPTOR BINDING AND FUNCTION IN RAT BRAIN

Gamma-aminobutyric acid (GABA) is a major inhibitory neurotransmitter in the central nervous system and alterations in central GABAergic transmission may contribute to the symptoms of a number of neurological and psychiatric disorders. Because of this relationship, numerous laboratories are attempting to develop agents which will selectively enhance GABA neurotransmission in brain. Due to these efforts, several promising compounds have recently been discovered. Should these drugs prove to be clinically effective, they will be used to treat chronic neuropsychiatric disabilities and, therefore, will be administered for long periods of time. Accordingly, the present investigation was undertaken to determine the neurochemical consequences of chronic activation of brain GABA systems in order to better define the therapeutic potential and possible side-effect liability of GABAmimetic compounds.^ Chronic (15 day) administration to rats of low doses of amino-oxyacetic acid (AOAA, 10 mg/kg, once daily), isonicotinic acid hydrazide (20 mg/kg, b.i.d.), two non-specific inhibitors of GABA-T, the enzyme which catabolizes GABA in brain, or (gamma)-acetylenic GABA (10 mg/kg, b.i.d.) a catalytic inhibitor of this enzyme, resulted in a significant elevation of brain and CSF GABA content throughout the course of treatment. In addition, chronic administration of these drugs, as well as the direct acting GABA receptor agonists THIP (8 mg/kg, b.i.d.) or kojic amine (18 mg/kg, b.i.d.) resulted in a significant increase in dopamine receptor number and a significant decrease in GABA receptor number in the corpus striatum of treated animals as determined by standard in vitro receptor binding techniques. Changes in the GABA receptor were limited to the corpus striatum and occurred more rapidly than did alterations in the dopamine receptor. The finding that dopamine-mediated stereotypic behavior was enhanced in animals treated chronically with AOAA suggested that the receptor binding changes noted in vitro have some functional consequence in vitro.^ Coadministration of atropine (a muscarinic cholinergic receptor antagonist) blocked the GABA-T inhibitor-induced increase in striatal dopamine receptors but was without effect on receptor alterations seen following chronic administration of direct acting GABA receptor agonists. Atropine administration failed to influence the drug-induced decreases in striatal GABA receptors.^ Other findings included the discovery that synaptosomal high affinity ('3)H-choline uptake, an index of cholinergic neuronal activity, was significantly increased in the corpus striatum of animals treated acutely, but not chronically, with GABAmimetics.^ It is suggested that the dopamine receptor supersensitivity observed in the corpus striatum of animals following long-term treatment with GABAmimetics is a result of the chronic inhibition of the nigrostriatal dopamine system by these drugs. Changes in the GABA receptor, on the other hand, are more likely due to a homospecific regulation of these receptors. An hypothesis based on the different sites of action of GABA-T inhibitors vis-a-vis the direct acting GABA receptor agonists is proposed to account for the differential effect of atropine on the response to these drugs.^ The results of this investigation provide new insights into the functional interrelationships that exist in the basal ganglia and suggest that chronic treatment with GABAmimetics may produce extrapyramidal side-effects in man. In addition, the constellation of neurochemical changes observed following administration of these drugs may be a useful guide for determining the GABAmimetic properties of neuropharmacological agents. ^

Latrepirdine stimulates autophagy and reduces accumulation of α-synuclein in cells and in mouse brain

Latrepirdine (Dimebon; dimebolin) is a neuroactive compound that was associated with enhanced cognition, neuroprotection and neurogenesis in laboratory animals, and has entered phase II clinical trials for both Alzheimer's disease and Huntington's disease (HD). Based on recent indications that latrepirdine protects cells against cytotoxicity associated with expression of aggregatable neurodegeneration-related proteins, including Aβ42 and γ-synuclein, we sought to determine whether latrepirdine offers protection to Saccharomyces cerevisiae. We utilized separate and parallel expression in yeast of several neurodegeneration-related proteins, including α-synuclein (α-syn), the amyotrophic lateral sclerosis-associated genes TDP43 and FUS, and the HD-associated protein huntingtin with a 103 copy-polyglutamine expansion (HTT gene; htt-103Q). Latrepirdine effects on α-syn clearance and toxicity were also measured following treatment of SH-SY5Y cells or chronic treatment of wild-type mice. Latrepirdine only protected yeast against the cytotoxicity associated with α-syn, and this appeared to occur via induction of autophagy. We further report that latrepirdine stimulated the degradation of α-syn in differentiated SH-SY5Y neurons, and in mouse brain following chronic administration, in parallel with elevation of the levels of markers of autophagic activity. Ongoing experiments will determine the utility of latrepirdine to abrogate α-syn accumulation in transgenic mouse models of α-syn neuropathology. We propose that latrepirdine may represent a novel scaffold for discovery of robust pro-autophagic/anti-neurodegeneration compounds, which might yield clinical benefit for synucleinopathies including Parkinson's disease, Lewy body dementia, rapid eye movement (REM) sleep disorder and/or multiple system atrophy, following optimization of its pro-autophagic and pro-neurogenic activities.

Is excessive EEG beta activity associated with delinquent behavior in adult subjects with ADHD?

Objective: The attention deficit/hyperactivity disorder (ADHD) shows an increased prevalence in arrested offenders compared to the normal population. ADHD and delinquency seem to share some neurophysiological abnormalities. In recent studies, a subgroup of subjects with ADHD as well as delinquents displayed excessive EEG activity in the beta band compared to controls, which has been associated with antisocial behavior and aggression in ADHD children. The goal of the present study was to investigate whether delinquent behavior in ADHD is related to excessive beta activity. Methods: We compared the resting state EEGs (eyes closed and eyes open) of 13 non-delinquent and 13 delinquent subjects with ADHD and 13 controls regarding power spectra and topography of the EEG activity. Results: Offenders with ADHD showed more beta power mainly at frontal, central and parietal brain regions than non-delinquent subjects with ADHD. Conclusions: Excessive beta power may represent a risk-factor for delinquent behavior in adults with ADHD. Significance: The awareness of such risk-factors may be helpful in the assessment of the risk for delinquent behavior in a psychiatric context and may provide a neurobiological background for therapeutic interventions.

Modulation of corticospinal activity by strong emotions evoked by pictures and classical music: a transcranial magnetic stimulation study.

Using transcranial magnetic stimulation and skin conductance responses, we sought to clarify if, and to what extent, emotional experiences of different valences and intensity activate the hand-motor system and the associated corticospinal tract. For that purpose, we applied a newly developed method to evoke strong emotional experiences by the simultaneous presentation of musical and pictorial stimuli of congruent emotional valence. We uncovered enhanced motor-evoked potentials, irrespective of valence, during the simultaneous presentation of emotional music and picture stimuli (Combined conditions) compared with the single presentation of the two modalities (Picture/Music conditions). In contrast, vegetative arousal was enhanced during both the Combined and Music conditions, compared with the Picture conditions, again irrespective of emotional valence. These findings strongly indicate that arousal is a necessary, but not sufficient, prerequisite for triggering the motor system of the brain. We offer a potential explanation for this discrepant, but intriguing, finding in the paper.