Search PubMed⌕ Search

SEARCH · Search PubMed

Results for “vertical connectivity”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 91 records · Page 5Linked to original sources

Path finding strategies in scale-free networks.

We numerically investigate the scale-free network model of Barabási and Albert [A. L. Barabási and R. Albert, Science 286, 509 (1999)] through the use of various path finding strategies. In real networks, global network information is not accessible to each vertex, and the actual path connecting two vertices can sometimes be much longer than the shortest one. A generalized diameter depending on the actual path finding strategy is introduced, and a simple strategy, which utilizes only local information on the connectivity, is suggested and shown to yield small-world behavior: the diameter D of the network increases logarithmically with the network size N, the same as is found with global strategy. If paths are sought at random, D is equivalent to N(0.5) is found.

Journal Article↗

Intracortical connectivity of architectonic fields in the somatic sensory, motor and parietal cortex of monkeys.

Anterograde and retrograde transport methods were used to study the corticocortical connectivity of areas 3a, 3b, 1, 2, 5, 4 and 6 of the monkey cerebral cortex. Fields were identified by cytoarchitectonic features and by thalamic connectivity in the same brains. Area 3a was identified by first recording a short latency group I afferent evoked potential. Attempts were made to analyze the data in terms of: (1) routes whereby somatic sensory input might influence the performance of motor cortex neurons; (2) possible multiple representations of the body surface in the component fields of the first somatic sensory area (SI). Apart from vertical interlaminar connections, two types of intracortical connectivity are recognized. The first, regarded as "non-specific," consists of axons spreading out in layers I, III and V-VI from all sides of an injection of isotope; these cross architectonic borders indiscrimininately. They are not unique to the regions studied. The second is formed by axons entering the white matter and re-entering other fields. In these, they terminate in layers I-IV in one or more mediolaterally oriented strips of fairly constant width (0.5--1 mm) and separated by gaps of comparable size. Though there is a broadly systematic topography in these projections, the strips are probably best regarded as representing some feature other than receptive field position. Separate representations are nevertheless implied in area 3b, in areas 1 and 2 (together), in areas 3a and 4 (together) and in area 5; with, in each case, the representations of the digits pointed at the central sulcus. Area 3b is not connected with areas 3a or 4, but projects to a combined areas 1 and 2. Area 1 is reciprocally connected with area 3a and area 2 reciprocally with area 4. The connectivity of area 3a, as conventionally identified, is such that it is probably best regarded not as an entity, but as a part of area 4. Areas identified by others as area 3a should probably be regraded as parts of area 3b. Parts of area 5 that should be more properly considered as area 2, and other parts that receive thalamic input not from the ventrobasal complex but from the lateral nuclear complex and anterior pulvinar, are also interconnected with area 4. More posterior parts of area 5 are connected with laterally placed parts of area 6. A more medial part of area 6, the supplementary motor area, occupies a pivotal position in the sensory-motor cortex, for it receives fibers from areas 3a, 4, 1, 2 and 5 (all parts), and projects back to areas 3a, 4 and 5.

Animals↗

Tree-shaped pulmonary veins in infracardiac total anomalous pulmonary venous drainage.

Three consecutive patients undergoing corrective operation for the infracardiac type of total anomalous pulmonary venous drainage (TAPVD) were found to have tree-shaped pulmonary veins. Preoperative angiocardiography revealed that in 2 patients the superior and inferior pulmonary veins drained separately, bilaterally, into the vertical vein. In the third patient the right pulmonary veins united to connect with the vertical vein, while the left superior and inferior pulmonary veins drained separately into the vertical vein. At operation inferior pulmonary veins connecting separately with the vertical vein were found to be located posterior to the pericardium. In the previous literature dealing with successful repair of infracardiac TAPVD, there is no mention of the tree-shaped pulmonary veins described in this report. As this particular type of pulmonary vein does not seem to be uncommon, its possible presence should be kept in mind during operation, as it may dictate the selection of surgical procedures.

Angiocardiography↗

Bond-based global and local (bond, group and bond-type) quadratic indices and their applications to computer-aided molecular design. 1. QSPR studies of diverse sets of organic chemicals.

The concept of atom-based quadratic indices is extended to a series of molecular descriptors (MDs) (both total and local) based on adjacency between edges. The kth edge-adjacency matrix (E ( k )) denotes the matrix of bond-based quadratic indices (non-stochastic) with respect to the canonical basis set. The kth "stochastic" edge-adjacency matrix, ES ( k ), is here proposed as a new molecular representation easily calculated from E ( k ). Then, the kth stochastic bond-based quadratic indices are calculated using ES ( k ) as operators of quadratic transformations. The study of six representative physicochemical properties of octane isomers was used to compare the ability of both series of MDs to produce significant quantitative structure-property relationship (QSPR) models. Moreover, the general performance of the new MDs in this QSPR study has been evaluated with respect to other 2D/3D well-known sets of indices and the obtained results shown a quite satisfactory behavior of the present method. The novel bond-level MDs were also used for the description and prediction of the boiling point of 28 alkyl-alcohols and to the modeling of the specific rate constant (log k) of 34 derivatives of 2-furylethylenes. These models were statistically significant and showed very good stability to data variation in leave-one-out (LOO) cross-validation experiment. The comparison with other approaches (edge- and vertices-based connectivity indices, total and local spectral moments, and quantum chemical descriptors as well as E-state/biomolecular encounter parameters) expose a good behavior of our method in this QSPR studies. The approach described in this report appears to be a very promising structural invariant, useful for QSPR/QSAR studies, similarity/diversity analysis, and computer-aided "rational" molecular (drug) design.

Chemical Phenomena↗

A model study of flow dynamics in human central airways. Part I: axial velocity profiles.

We measured detailed steady inspiratory and expiratory velocity profiles in a 3:1 scale model of the human central airways. The model was constructed out of acrylic plastic, mounted vertically, and connected to a specially designed steady-flow system. Laterally introduced hot-wire anemoneter probes were used to record axial velocities along 4 diameters at each of the 12 pre-drilled stations of measurement; the flow distribution among the five lobar bronchi was controlled by distally positioned linear resistors. Whether with a flat entrance profile or entering as a narrow jet, the inspiratory flow velocity profiles in the frontal plane showed a high degree of asymmetry in all branches, with peak velocities near the inner wall of the bifurcation. In the sagittal plane the velocity profiles were nearly symmetric, exhibiting a single peak near the center in the frontal plane and almost flat in the sagittal plane. Overall, the velocity profiles were more sensitive to airway geometry than to flow rate. The only site of flow separation was observed in the right upper lobar bronchus. The most evident modification of axial velocity profiles in a single branch was found in the left main bronchus during expiratory flow.

Humans↗

A three-dimensional vertex dynamics cell model of space-filling polyhedra simulating cell behavior in a cell aggregate.

We developed a three-dimensional (3D) cell model of a multicellular aggregate consisting of several polyhedral cells to investigate the deformation and rearrangement of cells under the influence of external forces. The polyhedral cells fill the space in the aggregate without gaps or overlaps, consist of contracting interfaces and maintain their volumes. The interfaces and volumes were expressed by 3D vertex coordinates. Vertex movements obey equations of motion that rearrange the cells to minimize total free energy, and undergo an elementary process that exchanges vertex pair connections when vertices approach each other. The total free energy includes the interface energy of cells and the compression or expansion energy of cells. Computer simulations provided the following results: An aggregate of cells becomes spherical to minimize individual cell surface areas; Polygonal interfaces of cells remain flat; Cells within the 3D cell aggregate can move and rearrange despite the absence of free space. We examined cell rearrangement to elucidate the viscoelastic properties of the aggregate, e.g. when an external force flattens a cell aggregate (e.g. under centrifugation) its component cells quickly flatten. Under a continuous external force, the cells slowly rearrange to recover their original shape although the cell aggregate remains flat. The deformation and rearrangement of individual cells is a two-step process with a time lag. Our results showed that morphological and viscoelastic properties of the cell aggregate with long relaxation time are based on component cells where minimization of interfacial energy of cells provides a motive force for cell movement.

Animals↗

Cr(3)Si(2)O(7).(1)/(4)MX (MX = NaCl, NaBr, KCl, KBr): A Cage Structure Built from [Cr(II)O(4)] and [Si(2)O(7)] Units(1).

The new compounds Cr(3)Si(2)O(7).(1)/(4)MX (MX = NaCl, NaBr, KCl, KBr) form a series of chromous disilicates hosting alkali-metal halides in a framework structure. Purple crystals with edge lengths up to 1 mm were prepared by reacting mixtures of Cr(2)O(3), Cr, SiO(2), and the respective alkali-metal halide in evacuated silica tubes at approximately 1620 K for 2 days. The structures of Cr(3)Si(2)O(7).(1)/(4)NaCl, Cr(3)Si(2)O(7).(1)/(4)NaBr, Cr(3)Si(2)O(7).(1)/(4)KCl and Cr(3)Si(2)O(7).(1)/(4)KBr (I4/mmm (No. 139), Z = 8, a approximately 10.3 Å, c approximately 12.97 Å) have been solved and refined from X-ray single-crystal data. The framework consists of two crystallographically independent Cr(II) in square planar oxygen coordination. Three of those squares form a bent trimer [Cr(3)O(4)O(4/2)]. Four trimers are connected through vertices forming a [Cr(12)O(24)] cage wherein the halide ion is sited. By the linking of individual [Cr(12)O(24)] units, disilicate groups form a second type of cage which is occupied by Na(+) or K(+). The disilicate groups are in eclipsed conformation with a bridging angle angle(Si,O1,Si) approximately 125 degrees. Magnetic measurements indicate strong low-dimensional antiferromagnetic interactions among the Cr(II) ions. The UV/vis spectrum of Cr(3)Si(2)O(7).(1)/(4)NaBr is reported.

Journal Article↗

Complex graph matrix representations and characterizations of proteomic maps and chemically induced changes to proteomes.

We have presented a complex graph matrix representation to characterize proteomics maps obtained from 2D-gel electrophoresis. In this method, each bubble in a 2D-gel proteomics map is represented by a complex number with components which are charge and mass. Then, a graph with complex weights is constructed by connecting the vertices in the relative order of abundance. This yields adjacency matrices and distance matrices of the proteomics graph with complex weights. We have computed the spectra, eigenvectors, and other properties of complex graphs and the Euclidian/graph distance obtained from the complex graphs. The leading eigenvalues and eigenvectors and, likewise, the smallest eigenvalues and eigenvectors, and the entire graph spectral patterns of the complex matrices derived from them yield novel weighted biodescriptors that characterize proteomics maps with information of charge and masses of proteins. We have also applied these eigenvector and eigenvalue maps to contrast the normal cells and cells exposed to four peroxisome proliferators, namely, clofibrate, diethylhexyl phthalate (DEHP), perfluorodecanoic acid (PFDA), and perfluoroctanoic acid (PFOA). Our complex eigenspectra show that the proteomic response induced by DEHP differs from the corresponding responses of other three chemicals consistent with their chemical structures and properties.

Algorithms↗

Laminar distribution of neurons projecting from area V1 to V2 in macaque and squirrel monkeys.

The present study reevaluates the sublaminar distribution and cellular morphology of neurons projecting from area V1 to V2. Observations are based on retrogradely transported HRP, Phaseolus vulgaris leucoagglutinin (PHA-L), or biocytin after injections made in area V2 of three squirrel monkeys and eight macaques. With material prepared in the coronal or horizontal tissue planes, it is clear that projection neurons in V1, in both species, are concentrated in layer 4B and in a single band (150-250 microns wide) restricted to the upper subdivision of layer 3 (layer 3A). There are also labeled neurons, but fewer in number, in layers 3B and 4A, and occasionally in layers 2 and 5. Golgi-like labeling from PHA-L or biocytin confirmed that most of the projection neurons in layer 3A are pyramidal. As reported for several other corticocortical systems, these pyramidal neurons differ in soma size, soma shape, and dendritic geometry. These results emphasize the complex organization of layer 3, and the distributed nature of efferent projections from area V1. Given the selective connectivity of vertical interlaminar networks, these results specifically suggest that information transmitted to area V2 from neurons in layer 3A reflects more highly processed, convergent input than that originating from either layer 3B or 4B.

Animals↗

Prisoners' dilemma in real-world acquaintance networks: spikes and quasiequilibria induced by the interplay between structure and dynamics.

We study Nowak and May's spatial prisoners' dilemma game driven by mutations (random choices of suboptimal strategies) on empirical social networks. The time evolution of the cooperation level is highly complex containing spikes and steps between quasistable levels. A statistical characterization of the quasistable states and a study of the mechanisms behind the steps are given. We argue that the crucial structural ingredients causing the observed behavior is an inhomogeneous degree distribution and that the connections within vertices of highest degree are rather sparse. Based on these observations we construct model networks with a similar complex time evolution of the cooperation level.

Journal Article↗

Clique percolation in random networks.

The notion of k-clique percolation in random graphs is introduced, where k is the size of the complete subgraphs whose large scale organizations are analytically and numerically investigated. For the Erdos-Rényi graph of N vertices we obtain that the percolation transition of k-cliques takes place when the probability of two vertices being connected by an edge reaches the threshold p(c) (k) = [(k - 1)N](-1/(k - 1)). At the transition point the scaling of the giant component with N is highly nontrivial and depends on k. We discuss why clique percolation is a novel and efficient approach to the identification of overlapping communities in large real networks.

Community Networks↗

Asymmetric connections, duplicate layers, and a vertically inverted map in the primary visual system.

The achiasmatic mutation is a remarkable and rare visual system mutation carried in a line of black sheepdogs. In affected animals, the optic chiasm is missing, and each retina projects entirely to the ipsilateral hemisphere. As a result of this navigational error, maps of visual space in the lateral geniculate nucleus (LGN) have a unique structure with mirror reversals of field position across the A-A1 border. Animals also have a persistent and severe congenital nystagmus. In this report we analyze a novel variant of the achiasmatic mutation, one in which retinal axons from only one eye successfully cross midline and in which the great majority of fibers from both eyes terminate in a single lateral geniculate nucleus. The dominant optic tract contains four times as many axons as the other tract. The hyperinnervated LGN has a lamination pattern consisting of duplicate and partly interwoven layers. A multiunit mapping study of visual cortex (primarily area 17 along the marginal gyrus) shows that receptive field topography and orientation selectivity are normal. The size of central binocular visual space is nearly normal and is flanked by monocular domains in the periphery. However, there is an inexplicable vertical inversion in the orientation of the cortical representation: superior fields are located rostrally, and inferior fields are located caudally. Despite a host of drastic abnormalities at all level of the visual system, from retina to cortex, this animal was behaviorally indistinguishable from normal dogs and did not have any detectable oculomotor abnormalities.

Animals↗

Thalamocortical angular tuning domains within individual barrels of rat somatosensory cortex.

In the rodent somatosensory cortex, whisker-related barrels in layer IV are morphological counterparts of functional cortical columns that extend throughout the cortical depth. We used microelectrode recordings and spike-triggered averaging of field potentials evoked by single thalamic barreloid neurons to investigate functional thalamocortical microcircuits. The function of such circuits was probed by deflecting the principal whisker of a barrel in different angular directions. We found that individual barrels contain minicolumns of neurons preferring the same deflection angle. Angular tuning domains are established by convergent inputs from thalamocortical cells with corresponding angular preferences. Processing within such domains may depend on local connectivity among vertically aligned barrel neurons.

Action Potentials↗

[Parallel structures in multidimensional networks].

What restrictions does the space dimension impose on a variety of multidimensional regular networks? The parallel representation method is used to answer this question. An analytical relation of regular network dimension with the connectivity of vertices and the perimeter of elementary contours has been established. It has also been shown that a infinite dimensional network is equivalent to an infinite tree. In addition, the problem of closed regular polytops inside networks is discussed.

Imaging, Three-Dimensional↗

The surgical control of acute epileptic foci in the cat's cerebral cortex.

Topectomy is the treatment of choice for patients suffering from intractable focal epilepsy not responding to pharmacological treatment. A disadvantage of this method is the neurological deficit produced by excision of functional neurons. For this reason the excision of epileptic foci in vital cortical regions is avoided. Thus patients suffering from intractable focal epilepsy in the motor area do not, as yet, have a satisfactory medical or surgical solution to their problem. The purpose of this work is to suggest a different surgical approach on the basis of new data regarding vertical neural connections in the cortex that are vital to the maintenance of the epileptic foci. This possibility has been investigated so far only in acute animal experiments with the intention of applying this method next in chronic animal experiments and then, if successful, in human beings.

Animals↗

[Neuroarchitectonics and interneuronal connections as a basis for somatotopic organization of the human cerebral cortex].

Fields 4, 3, 1 of the mature brain (8 cases) have been studied by means of Klüver-Barrer's, Golgi's and Peters' methods. Neuroarchitectonics of the areas studied in the human neocortex can be presented as a continuous series of neuronal ensambles, each of them occupying, in the cortical space, the figure of the cylinder, or that of the upset truncated cone and consisting of interconnected groups of the pyramidal cell columns; along their periphery the stellate element columns are situated. Some new facts concerning the structure of the myelinated axon are discovered and in the pyramidal and stellate neurons a new type of contact "to itself" is stated -- a dendro-somatic one. It is stated that various connections along the vertical make the prevailed type of connections in the neuronal ensamble. They form, in every cellular column, successive-parallel chains of switching where every preceding cell is not only reciprocally connected with every subsequent one, but any pyramidal neuron is connected with every element composing the chain. It is possible to suppose, proceeding from the presence of such chains of switching, that every cellular column is a single block, all its neurons, despite the heteromodal afferentation they obtain, should function synchronously integrating unitypical responses. It has been stated that the cellular columns included into the neuronal ensamble are united with each other by reciprocal and horizontally running connections and by afferent conductors. As a result, a single integrative mechanism is formed, with a unique result of efficiency. Since every neuronal ensamble is a specific and unique (concerning its neuronal composition and connections) system, the response of the system in question should be not only unitypical, but possess a fine peculiar differentiation, that is neuronal ensambles are specific morpho-functional units in the somatotopic organization of the human motor cortex.

Adolescent↗

The straight back syndrome.

The straight back syndrome, consisting of loss of normal upper thoracic spinal curvature associated with cardiac murmurs and radiographic cardiomegaly is considered a form of 'pseudoheart disease' which has been attributed to squashing of the heart in the reduced AP diameter of the chest. During an 18-month period 31 patients referred to a cardiologist were found to have a straight back. Forty-five relatives were subsequently examined and 27 were found also to have a straight back. Palpitations and chest pain were the commonest symptoms. On the lateral chest radiograph the distance from the middle of the anterior border T8 to a vertical line connecting T4 and T12 was found to be significantly reduced compared to controls, and a value less 1.2 cm is indicative of a straight back. Of the 58 subjects with the syndrome, 39 (67 per cent) had clinical and/or echocardiographic evidence of mitral valve prolapse. Respiratory function testing revealed no significant abnormality. HLA typing showed no association with an particular HLA antigen but indicates that the straight back syndrome is inherited as an autosomal dominant condition and suggested that the antigenic determinants may be located on chromosome 6. We conclude that the straight back syndrome should no longer be considered a form of pseudoheart disease and patients should be investigated for associated mitral valve prolapse and their relatives screened.

Adolescent↗