An even smaller fraction of the morphological cell types have bee

An even smaller fraction of the morphological cell types have been characterized in the rat, mouse, cat, or monkey. How does the multitude of retinal cells array itself across the retinal surface? The answer reveals an elegant feat of developmental engineering (review, Reese et al., 2011). Each of the retina’s >60 cell types is regularly spaced, so that the cells cover the retinal surface evenly. This assures that the cell types survey the visual scene efficiently (Cook, 1996; Wässle et al., 1981; Wässle and Riemann, 1978). But retinal cells of a particular type are evenly spaced only with respect to other

cells of the same type. With respect to cells of other types—even those to which they are synaptically connected—their positions are random (Rockhill et al., 2000). Not only do the cell bodies space themselves, the dendritic arbors of most cell types arrange not MDV3100 to overlap very much, as though dendrites of neighboring cells of the same type repel each other. This efficient coverage is observed physiologically as well as morphologically (Devries and Baylor, 1997; Gauthier et al., 2009). The phenomenon is called “tiling,”

but the term—invoking bathroom tiles—conflates two different concepts: regular spacing of the cell bodies (mosaic spacing), and fitting together of the dendritic arbors at their edges. A measure of the latter is the coverage factor, given by the spatial density of the cells (cells/mm2) times the dendritic field area of each cell (mm2/cell). A coverage factor of 1.0 represents

perfect tiling: no empty spaces Volasertib nmr between the arbors, and no overlap between the arbors. Bathroom tiles have both a regularly spaced mosaic and a coverage factor of one. All genuine cell types thus far discovered have regular mosaics. Many ganglion cells and the axon terminals of bipolar cells have coverage factors near 1.0. Other types of ganglion cells, especially in lower mammals, have coverage factors of three to five, and thus partial overlap in their Non-specific serine/threonine protein kinase arbors. And wide-field amacrine cells have enormous coverage factors, representing the specialized functions of these cells. The starburst amacrine cell of a rabbit has a coverage factor that ranges from 25 centrally to 70 peripherally, an overlap that serves their unique function for direction selectivity. Because of their regular spacing, the arbors of each of the ∼20 types of retinal ganglion cells cover the retina completely and evenly. This means that every point in the retinal surface is reported upon at least once—in the limiting case, exactly once—by each of the diverse types of retinal ganglion cell. This is represented pictorially in Figure 8, where the mosaics of four different types of ganglion cell are superimposed on an image. The first represents the X-type cell, responding in a linear way to the total brightness captured within its aperture. The second represents the Y cell, with a larger aperture and sensitivity to movement.

In vivo, EMG responses were similarly quantified in a 4–8 ms wind

In vivo, EMG responses were similarly quantified in a 4–8 ms window after the last stimulus (Figure 6B). To test grip strength, adult mice were placed on a cage top. The cage top was lightly shaken to encourage selleck chemicals llc gripping of the horizontal bars. The cage top was slowly inverted and positioned at least thirty centimeters above the landing surface. The latency to fall was measured. Each mouse underwent this test three times in a single day. With some mice, we repeated the test three times on a separate day. The results did not vary in the additional trials. The average weight of the dI3OFF mice

(16.0 ± 3.7 g, n = 5) was not significantly greater than that of the control littermates (16.0 ± 2.6 g, n = 7). To test for the presence of a forepaw grasp reflex in neonates (P1–P7), we gently stroked the palmar surface of the forepaw with a glass capillary and observed any flexion of the fingers. This test was performed without prior knowledge of the genotype of the pups. Additional behavioral analyses are described in Supplemental Information. Unless otherwise noted, data are reported as mean ± SD, and comparisons were performed using a Student’s unpaired t test with unequal variance and a threshold for significance set at 0.05. We thank Angelita Alcos, Bithika Ray,

Apiraami Thana, and Nadia Farbstein for excellent technical Selleckchem AZD2281 assistance; Joshua Sanes and Silvia Arber for the generous contribution of mouse strains; Natalie Parks and Dan Marsh for assistance with chronic spinalization; Jason Meissner and Allison Reid for aid with the von Frey test; Anatoliy Voskresenskiy and Leigh Sadler for work with the horizontal ladder experiments; Jonathan Carp and Jonathan Wolpaw for their suggestions in designing

the nerve cuff electrodes; Patrick Whelan and Meggie Reardon for help with the isolated spinal cord preparation with sural nerve in continuity; Frédéric Bretzner, Pratip Mitra, Philippe of Magown, Izabela Panek, and Sabrina Tazerart for discussions; and Kevin Bourke for photography. We also thank patient D.F., whose disabling grasp reflex led to a portion of the work described. T.V.B. was supported by a Nova Scotia Health Research Foundation fellowship and a Canadian Institutes of Health Research (CIHR) Fellowship. T.M.J. is an investigator of the Howard Hughes Medical Institute and was supported by the National Institutes of Health (R01-NS033245), Project A.L.S., and the Harold and Leila Mathers Foundation. This research was funded by a grant to R.M.B. from the CIHR (FRN 79413) and was undertaken thanks, in part, to funding to R.M.B. from the Canada Research Chairs program. “
“(Neuron 77, 696–711; February 20, 2013) Measurements of action potential duration in Figures 1, 3, 5G, 6D, and S1 display an apparent three-point periodicity. We clarify that this effect results from using 60 Hz stimulus trains that have fractional 16.67 ms interstimulus intervals (ISIs).

Control and experimental pups were obtained from the same litter

Control and experimental pups were obtained from the same litter and the injections were always made on the left and right ventricles, respectively, for later identification. Animal protocols were approved by

the Animal Care and Use Committee of UC Berkeley. To decide the statistical test for the comparison between two data sets, we first examined whether the data in each set are normally distributed, using Jarque-Bera test. For data sets with normal distribution, t test was used. For comparison Roxadustat cost involving multiple data sets, one-way ANOVA test was used followed by post-hoc Tukey test. We thank R. Thakar, S. Li, M. Nasir, and D. Liepmann (University of California, Berkeley, CA) for help with PDMS microfluidic molds for making patterned substrates. We thank E. Burstein (University of Michigan Medical School) for providing Myc-tagged ubiquitin constructs, X.B. Yuan (Institute of Neuroscience, Shanghai) for constitutive active RhoA construct, X. Zhang (Institute of Neuroscience, Shanghai) for pCAG-IRES-EGFP, and R. Tsien (University of California,

San Diego, CA) for tdTomato construct. This work was www.selleckchem.com/products/epz-6438.html supported in part by a grant from the National Institutes of Health. “
“The sequestration of ion channels into molecularly distinct axonal domains is vital for nervous system function. Enrichment of voltage-gated sodium (Nav) channels at nodes of Ranvier is of considerable importance, as they function to potentiate the nerve impulse in a saltatory manner along myelinated fibers (Rasband, 2006, Salzer, 2003, Thaxton and Bhat, 2009 and Waxman much and Ritchie, 1993). Recent findings have raised key questions concerning the mechanisms regulating nodal development, such as whether nodes form independently of paranodes, or whether paranodes are sufficient for nodal organization. Neurofascins (Nfascs), a group of cell adhesion molecules with spatio-temporal expression in the nervous system, have been recently implicated in axonal function (Davis and Bennett, 1993,

Tait et al., 2000 and Volkmer et al., 1992). Two major isoforms have been characterized, the glial-specific NfascNF155 (NF155) that localizes to the paranodes (Tait et al., 2000), and the neuron-specific NfascNF186 (NF186) that is enriched at nodes of Ranvier and axon initial segments (Collinson et al., 1998, Davis et al., 1996 and Hassel et al., 1997). Genetic ablation of Nfasc in mice (Nfasc−/−) resulted in paranodal and nodal disorganization due to loss of both NF155 and NF186, and death at postnatal day 7 (P7), further highlighting their importance in myelinated axons ( Sherman et al., 2005). While glial-specific loss of NfascNF155 revealed its specific role in paranodal domain formation and stabilization ( Pillai et al.

, 2013 and Rudy et al , 2011) The expression, function, and regu

, 2013 and Rudy et al., 2011). The expression, function, and regulation of cortical Htr4 receptors

are clearly different. Htr4 receptors are G-protein coupled, and their expression is strongly and specifically increased in corticostriatal pyramidal cells as a result Protease Inhibitor Library cell assay selective serotonin reuptake inhibitor (SSRI) treatment. This has led to the hypothesis that increased Htr4 expression heightens the sensitivity of corticostriatal pyramidal cells to SSRIs, thus improving communication between the cortex and the striatum and contributing to the therapeutic actions of these antidepressants (Schmidt et al., 2012). These two examples of cortical serotonin responses involve different receptors, signaling pathways, cell types, and behavioral outcomes, yet they are elicited by the same neuromodulator. This Selleck Akt inhibitor suggests that any given neuromodulator has the possibility for a wide scope of action. For example, acetylcholine within the cortex has been shown to mediate attention (Froemke et al., 2007) and memory control (Hasselmo, 2006) as well as plasticity (Gil et al., 1997). However, the nucleus basalis is the primary source of acetylcholine to the cortex (Kilgard and Merzenich, 1998), raising the question of

how signaling from a centralized source can mediate such disparate actions. Again, the answer lies in the fact that the receptor families for many modulatory substances are also scattered across distinct cell types and, conversely, that receptors with different signaling capacities

can be coexpressed in the same cell type(s). For instance, both science the neurogliaform and VIP-expressing interneurons express nicotinic acetylcholine (ACH) receptors (Lee et al., 2010) in addition to having Htr3a receptors. Other interneuron classes, such as the Martinotti (Kawaguchi and Shindou, 1998) and basket cells (Kruglikov and Rudy, 2008) as well as pyramidal cells, express muscarinic ACH receptors (McGehee, 2002). Hence, the release of acetylcholine can differentially engage and modulate distinct sets of cortical circuits. For instance, recent studies show that VIP-expressing bipolar cells function in the disinhibition of basket and Martinotti cells in fear association (Letzkus et al., 2011) or motor-sensory gating (Lee et al., 2013), respectively. The ability of these cells to increase their gain in response to ACH may begin to explain how they are effective in associating sensory and motor stimuli to behavioral associations. These are just a few of the myriad of possible recruitment strategies at the brain’s disposal.

Children who miss a vaccination will remain at risk if they do no

Children who miss a vaccination will remain at risk if they do not go or their parents/guardians do not take them to the institution where the vaccine is delivered.

Physical activity as a vaccine alone does not immune an individual from the various hyperkinetic conditions. It can only be effective when individuals use it regularly in combination of other positive behavioral changes, such as keeping a healthy diet. In other words, physical activity is only effective when incorporated as part of daily life and performed regularly. Therefore, children should be educated on how to deliver the daily dosage of physical activity to themselves RO4929097 not only in but also outside the school. Toward this end, physical education, as an important vaccine delivery system, must do the seemingly impossible: not only taking the children to the vaccine delivery site (i.e., the gymnasium) to receive the daily dosage but also educating them about why this life-long, daily vaccination is required for a healthy, enjoyable,

and productive personal life. With over 40 million children’s future at risk, developing, strengthening, and maintaining such a vaccination system worldwide is a worthy effort. “
“Given the observation that expectations and beliefs are predictors of various aspects of Epacadostat in vivo recovery from whiplash injury,1, 2, 3, 4, 5 and 6 there is a need to determine the prevalence of these expectations and beliefs in the general population (i.e., in the injury-naïve population). It is this population that is at future risk for developing worse outcomes following whiplash injury because of those beliefs.1 and 7

An aspect of beliefs concerns expectations of recovery and particularly the expectation that certain symptoms are likely to be chronic after whiplash injury. One study of 179 subjects in Canada, for example, found that 119 of 179 subjects who had never experienced whiplash injury themselves, believed that at least one symptom from an available 56-item symptom checklist would not only occur following whiplash injury, but would remain chronic.8 Many subjects chose multiple symptoms as likely enough to remain chronic, the most commonly endorsed symptoms being related to headache, neck pain, back pain, anxiety, depression, problems with concentration, problems with memory, and jaw pain. It has been recently demonstrated that an expectation checklist need not be lengthy to correctly identify expectations in minor head injury.8 Indeed, a previously reported developed 56-item symptom expectation checklist for whiplash injury9 is too cumbersome for clinical and population research purposes.

In

species used most extensively for experimental studies

In

species used most extensively for experimental studies, corticospinal axons originate primarily from neurons in layer V in the sensorimotor cortex. It is important to note, however, that other cortical areas also contribute, including the dorsomedial frontal cortex. Most CST axons decussate in the pyramidal decussation and then descend through the spinal cord in three tracts: a dorsal tract in the ventral part of the dorsal column (the main tract in rodents), a dorsolateral tract (the main tract in primates), and a ventral tract that is sparse in most species and is not detected in some strains of mice (Figure 4). The dorsal and dorsolateral CST contain axons from the contralateral cortex whereas axons in the ventral CST are from the ipsilateral cortex. Our impression, based on AZD6738 mw assessment of labeling in hundreds of rats and mice, is that the BMS-387032 order parcellation of axons between the two minor tracts varies even across individuals within the same species. Regarding the use of rodent models for spinal cord injury studies in general and CST regeneration in particular, it is noteworthy that most CST axons in rodents are located in the spinal cord dorsal white matter;

this is a key distinction from humans, where the main CST descends in the lateral columns. CST axon collaterals leave the main tract and terminate mainly on the side contralateral to the cortex of origin. Some CST axons recross the midline at segmental levels to terminate ipsilaterally (Figure 4).

Recrossing axons are sparse in rats, somewhat more common in mice, and are prominent in primates. The extent of recrossing in humans is not known. Several publications have reported regeneration of CST axons after spinal cord injury in rodents, but many of these studies leave doubts. Unless the spinal cord is transected completely, lesions usually spare axons in one or the other of the component pathways, so that axons observed below the lesion site could be due to sprouting from spared axons. Complete transections can solve this problem, but are difficult to create and are extremely disabling to the animals. Many early claims of CST regeneration after complete transection have not stood the test of time and replication, based on later evidence that axons were actually spared. Most often, spared axons lie within the most ventral Sodium butyrate and lateral aspects of the lesion site. Also, complete transections create an environment that is an extraordinary barrier because the two stumps pull apart leaving a fluid filled space that can be many millimeters in length. Even when filled with a transplant or a growth-promoting substrate, a large lesion represents a very challenging barrier for regenerating axons. In our view, no study to date has convincingly demonstrated regeneration of CST axons across a complete spinal cord transection site, and this remains a key goal of spinal cord regeneration research.

The second control group did not perform any task but waited for

The second control group did not perform any task but waited for the equivalent duration of the car racing tasks between the two MRI scans. Because the active control group played a different track in each trial (different lengths and scenery), evaluating

their improvement during the task necessitates normalization. This normalization was crucial because the tracks were randomized ATM Kinase Inhibitor purchase between active control subjects. The normalization procedure, performed for each subject, included normalizing the lap time to the track length and dividing by the performance in the first trial. The same procedure was applied to the learning group. MRI was performed at the Tel Aviv Sourasky Medical Center with a 3T (GE, Milwaukee, WI, USA) MRI system. All subjects underwent two series of scans approximately 2 hr apart. Between the two sessions a task was administered to the learning group and the first control group; the second control group

did not perform any task. The MRI protocol of the first series of scans included conventional anatomy sequences, and DTI was acquired with an eight-channel head coil. In the second series only DTI scans were administered. T1-weighted images were acquired with a 3D spoiled gradient-recalled echo (SPGR) sequence with the following parameters: up to 155 axial slices (whole-brain coverage), TR/TE = 9/3 ms, resolution 1 × 1 × 1 mm3, scan time 4 min. In addition to the T1 scan, T2-weighted images (TR/TE = 6,500/85) and FLAIR images (TR/TE/TI = 9,000/140/2,100) were acquired. The entire anatomical data set was used for radiological screening. Double-refocused, find more of spin-echo diffusion-weighted,

echo-planar imaging sequences were performed with up to 70 axial slices (to cover the whole brain), and resolution of 2.1 × 2.1 × 2.1 mm3 was reconstructed to 1.58 × 1.58 × 2.1 mm3 (field of view was 202 mm2, and acquisition matrix dimension was 96 × 96 reconstructed to 128 × 128). Diffusion parameters were Δ/δ = 33/26 ms; b value of 1,000 s/mm2 was acquired with 19 gradient directions, and an additional image was obtained with no diffusion weighting (b0 image). The double-refocused sequence was used in order to minimize eddy currents and susceptibility artifacts. The DTI scan was repeated three times to increase signal-to-noise ratio. For details on the DTI analysis routine, please refer to section 1.2 (Image analysis) of the Supplemental Experimental Procedures. VBA is a whole-brain technique that allows regionally specific differences in quantitative MRI indices (such as FA or MD) to be computed on a voxel-by-voxel basis. The statistical VBA design included three groups (learning and controls) and two scan times (with repeated measures on the second factor). On this design we applied the following procedures. (1) A paired t test on the learning group only (comparing the pre and post-learning scans). To avoid partial volume bias in the statistical analysis, we applied a non-cerebrospinal fluid (CSF) mask.

The results showed that interhemispheric synchronization was inde

The results showed that interhemispheric synchronization was indeed significantly weaker

in the autism group not only in STG, but also in IFG (p < 0.05, randomization test and t test, see Experimental Procedures). None of the control ROIs exhibited significant differences between groups (Figure 3, top). Toddlers with language delay exhibited a trend for stronger selleck compound synchronization in LPFC, as compared with autism and control groups (p < 0.1, randomization test). Similar results were found when comparing only the youngest toddlers (Figure 3, right panels). Synchronization difference remained significant in STG (p < 0.05) and was almost significant in IFG (p < 0.07). The ROIs used in this analysis were selected manually in left and right hemispheres, and the left hemisphere ROIs were identical to those used in the seed analysis described above (Figure 1). The anatomical criteria

used for selection were identical in all groups, and there was, therefore, no bias for any of the ROIs to exhibit stronger interhemispheric correlations in one group or another. This lack of bias was evident in the equivalent ROI sizes (Figure S1) and locations (Table S1) across groups. Weak interhemispheric correlations in IFG and STG could be used to accurately identify the majority of toddlers with autism (Figure 3, bottom). We performed sensitivity-specificity and receiver operating characteristics (ROC) curve analyses to determine the usefulness of IFG and STG correlations for autism classification (Figure S2). In these analyses, toddlers who exhibited a below-threshold correlation GDC-0199 mw value in either IFG or STG were classified as autistic, while those exhibiting above-threshold correlation values in both IFG and STG were classified as nonautistic (control or language delay). The accuracy

of the correlation-based classification was determined by comparing it with the actual clinical diagnosis performed by experienced psychologists. Selecting a correlation threshold/criterion of 0.38 enabled accurate classification of toddlers with autism, yielding a sensitivity of 72% and specificity of 84%. In Tolmetin other words, 21 out of 29 toddlers in the autism group were correctly identified, while only 7 (5 control and 2 language delay) out of 43 nonautistic toddlers were mistakenly identified as autistic. When considering only the young toddlers, the same threshold yielded a sensitivity of 60% and specificity of 80%. Interestingly, different subsets of toddlers with autism exhibited poor interhemispheric correlation in IFG and in STG. To ensure that weak interhemispheric correlation was not a consequence of our particular choice of ROI voxels, we examined single subject data in the toddlers with autism who exhibited the weakest interhemispheric correlations in IFG. We present the results for IFG, but equivalent results were found for STG in the autistic toddlers who exhibited the weakest STG correlations.

1% of the time (n = 42 beads, in 33 retinas), in contrast to only

1% of the time (n = 42 beads, in 33 retinas), in contrast to only 5.5% of BSA-coated beads (n = 36 beads, in 25 retinas). To assess this interaction in more detail, we performed time-lapse imaging experiments. After Lam1-coated bead implantation, the embryo was allowed to recover for 5–10 hr, and then imaged during the

period of RGC axon extension. Most RGCs that came in contact with the surface of the Lam1 bead consistently showed a very strong interaction (Figure 6C, Movie S10. Lam1 Is Sufficient to Orient RGC Axon Extension In Vivo (Part 1) and Movie S11. Lam1 Is Sufficient Lumacaftor mw to Orient RGC Axon Extension In Vivo (Part 2)). RGCs tightly associated with the beads and extended axons along their surface (70% of experiments,

n = 20 beads/bead clumps, in 14 embryos). The growth cones of these axons subsequently navigated away from the bead, toward the basal surface of the retina, leaving bundles of fasciculated axons hugging the surface of the bead (arrows, Figure 6C). The RGCs generally remained associated with the beads for the length of imaging session, and the RGC layer appeared to organize itself around the Lam1 bead. In contrast to the dramatic effect of the Lam1 beads, BSA-coated beads did not show any substantial interaction with RGCs (n = 6 beads, in five embryos). Instead BSA-coated beads appeared to float aimlessly within the retina, indicating that they do not interact with any retinal cells (compare AZD6738 in vivo Lam1 and BSA-coated beads in Movie S11). In some instances it was possible to track an isolated RGC as it came into contact with a Lam1-coated bead, as is shown in Figure 6D (Movie S12). This young RGC exhibited a typical morphology, with apical and basal processes. The RGC then contacted the Lam1 bead at approximately the midpoint of the basal process (yellow arrowhead). The distal portion of the basal process then Non-specific serine/threonine protein kinase retracted, and short dynamic

neurites were evident at the point of Lam1 contact. The growth cone then sprouted from the contact point, and subsequently navigated away toward the retinal basal surface, demonstrating that Lam1 contact is sufficient to specify the point from which the RGC axon will emerge. The axon shaft remained associated with the bead, and was even observed to split in the example shown (blue arrowhead). This highlights the tight adherence of RGC axon to the Lam1 surface, and the critical importance of Laminin to RGC axons in vivo. A requisite step in axon selection is the differential rearrangement of microtubules in the preaxonal neurite (Witte et al., 2008). This is likely what is visualized using the Kif5c560-YFP microtubule motor construct.

8 ± 1 1 s/e,

8 ± 1.1 s/e, selleck p < 0.01). Epoch frequency (including subthreshold depolarizations) was not significantly increased in fosGFP+ cells (Figure 2C; fosGFP− cells 0.035 ± 0.007 Hz; fosGFP+ cells 0.034 ± 0.007 Hz, p = 0.26), indicating that network activity can engage both cell populations. To verify that the elevated spontaneous firing activity observed in fosGFP+ neurons was not due to expression of the fosGFP transgene, a second strain of transgenic mice

expressing GFP under the control of the arc/arg3.1 promoter was analyzed (GENSAT BAC transgenic resource, Rockefeller University; Gong et al., 2003). Similar to fosGFP+ neurons, arcGFP+ neurons tended to fire more than arcGFP− neurons within a cell pair (Figure 2B and data not shown; mean overall firing rate, arcGFP− 0.23 ± 0.21 Hz versus arcGFP+ 0.32 ± 0.14 Hz; n = 9 pairs, p = 0.07). Like fosGFP+/− cell pairs, the frequency of depolarizing epochs was identical, and arcGFP+ neurons showed significantly more spikes/epoch than arcGFP− cells (Figure 2D; arcGFP− 6.4 ± 0.7 s/e, n = 83 epochs over 9 cells versus arcGFP+ 8.1 ± 0.6 s/e, n = 89 epochs over 9 cells, p = 0.003). On average, arcGFP+ cells fired 2.5-fold more than arcGFP− cells, a significant difference (p = 0.04). Although values from arcGFP+ neurons were more variable compared to fosGFP+ neurons, it is remarkable that the basic observations made

in both transgenic HDAC activity assay mice are so similar. Thus, it is unlikely that the increased firing activity characterized in fosGFP+ neurons is due to expression of the fosGFP transgene. Simultaneous recordings of fosGFP+ and fosGFP− cells enabled a direct comparison of cell engagement during an epoch of network activity. We found that fosGFP+ neurons were recruited into a depolarizing epoch significantly earlier than fosGFP−

neurons (Figures 2E aminophylline and 2F; mean onset timing for fosGFP− was 67.3 ± 27 ms after onset in fosGFP+ cells; n = 48 epochs over 9 cell pairs; p < 0.001). Thus, although spontaneous network activity engages both cell types, fosGFP+ cells are activated earlier and are more likely to fire during a depolarizing epoch. Why do fosGFP-expressing neurons display elevated spontaneous firing activity? One explanation is that these neurons show greater intrinsic excitability (i.e., depolarized resting membrane potential, action potential [AP] threshold, or input resistance). However, comparison between fosGFP+ and fosGFP− cells showed that these properties were identical between groups (Table S1). To evaluate intrinsic excitability, input-output curves were constructed, using constant current injection to elicit firing (Figure S2). FosGFP+ cells required more current to generate a single spike (mean rheobase current fosGFP− 37.12 ± 1.6 pA versus fosGFP+ 45.6 ± 2.99 pA, n = 16 for both; p = 0.02) and exhibited fewer spikes at all levels of current injection compared to fosGFP− cells (Figure S2).