A New Method for Computing the Eccentric Connectivity Index of Fullerenes

ACM Computing Classification System (1998): G.2.2, G.2.3.

The Eccentric Connectivity Polynomial of some Graph Operations

The eccentric connectivity index of a graph G, ξ^C, was proposed by Sharma, Goswami and Madan. It is defined as ξ^C(G) = ∑ u ∈ V(G) degG(u)εG(u), where degG(u) denotes the degree of the vertex x in G and εG(u) = Max{d(u, x) | x ∈ V (G)}. The eccentric connectivity polynomial is a polynomial version of this topological index. In this paper, exact formulas for the eccentric connectivity polynomial of Cartesian product, symmetric difference, disjunction and join of graphs are presented.

The Wiener, Eccentric Connectivity and Zagreb Indices of the Hierarchical Product of Graphs

Let G1 = (V1, E1) and G2 = (V2, E2) be two graphs having a distinguished or root vertex, labeled 0. The hierarchical product G2 ⊓ G1 of G2 and G1 is a graph with vertex set V2 × V1. Two vertices y2y1 and x2x1 are adjacent if and only if y1x1 ∈ E1 and y2 = x2; or y2x2 ∈ E2 and y1 = x1 = 0. In this paper, the Wiener, eccentric connectivity and Zagreb indices of this new operation of graphs are computed. As an application, these topological indices for a class of alkanes are computed. ACM Computing Classification System (1998): G.2.2, G.2.3.

De viles rurals a indrets de la regió metropolitana de Barcelona: transformacions històriques del paisatge a la Vall del Congost (Figaró-Montmany, l’Ametlla del Vallès i la Garriga, 1850-2010)

El projecte ha assolit la majoria d’objectius, ajustats a la reducció d'una quarta part de l'import concedit: 1) caracteritzar la transformació del paisatge agro-forestal i urbà a dos municipis de la vall del Congost, La Garriga i Figaró-Montmany, reconstruint amb SIG els mapes d'ús del sòl de 1854, 1949, 1956 i 2005, obtenint per intersecció de cobertes les matrius dels canvis d'ús; i 2) avaluar amb l’índex de connectivitat ecològica l'impacte ambiental d'aquells canvis des del punt de vista de la biodiversitat i la resiliència del paisatges, amb un especial èmfasi en la reforestació induïda per l'abandonament rural i la pèrdua de paisatges en mosaic, en un àmbit més gran pel període 1956-1993-2005. Aquests resultats han permès preparar varis articles per publicar en co-autoría a revistes com Landscape History, Environment and History o Landscape and Urban Planning. Ja és a punt de poder-se lliurar el primer amb el títol de "Looking backwards into a Mediterranean edge environment: Landscape changes and ecological connectivity in El Congost Valley (province of Barcelona, Catalonia) 1850-2005", incloent dos objectius esmentats a la memòria: identificar les principals forces motores d'aquells canvis en el paisatge relacionant els usos del sòl amb les formes d'ordenació del territori, caracteritzar-ne les forces rectores econòmico-socials i el paper jugat per la protecció del Parc Natural del Montseny i els Cingles de Bertí. Els resultats també permetran abordar en el futur altres aspectes, com per exemple estimar el potencial energètic de la biomassa local tot cercant que el seu aprofitament generi sinèrgies territorials positives per a l'ecologia del paisatge amb la recuperació d’una ramaderia extensiva i una agricultura ecològica que facin possible la restauració dels paisatges en mosaic. L'estudi ha pogut incorporar un aspecte inicialment no previst, el cens d'orquídies mediterrànies a Figaró-Montmany elaborat pel naturalista Paul Wilcox

Soil Physical Quality and Soybean Yield as Affected by Chiseling and Subsoiling of a No-Till Soil

ABSTRACT The concept of soil physical quality (SPQ) is currently under discussion, and an agreement about which soil physical properties should be included in the SPQ characterization has not been reached. The objectives of this study were to evaluate the ability of SPQ indicators based on static and dynamic soil properties to assess the effects of two loosening treatments (chisel plowing to 0.20 m [ChT] and subsoiling to 0.35 m [DL]) on a soil under NT and to compare the performance of static- and dynamic-based SPQ indicators to define soil proper soil conditions for soybean yield. Soil sampling and field determinations were carried out after crop harvest. Soil water retention curve was determined using a tension table, and field infiltration was measured using a tension disc infiltrometer. Most dynamic SPQ indicators (field saturated hydraulic conductivity, K0, effective macroporosity, εma, total connectivity and macroporosity indexes [CwTP and Cwmac]) were affected by the studied treatments, and were greater for DL compared to NT and ChT (K0 values were 2.17, 2.55, and 4.37 cm h-1 for NT, ChT, and DL, respectively). However, static SPQ indicators (calculated from the water retention curve) were not capable of distinguishing effects among treatments. Crop yield was significantly lower for the DL treatment (NT: 2,400 kg ha-1; ChT: 2,358 kg ha-1; and DL: 2,105 kg ha1), in agreement with significantly higher values of the dynamic SPQ indicators, K0, εma, CwTP, and Cwmac, in this treatment. The results support the idea that SPQ indicators based on static properties are not capable of distinguishing tillage effects and predicting crop yield, whereas dynamic SPQ indicators are useful for distinguishing tillage effects and can explain differences in crop yield when used together with information on weather conditions. However, future studies, monitoring years with different weather conditions, would be useful for increasing knowledge on this topic.

TOP - um programa de cálculo de descritores topológicos para uso em correlações entre estrutura e atividade

A computational interface, using sybyl format as an input file, was created in order to calculate connectivity indexes. After generation and classification of all substructures, which derive from the molecular structure, this interface calculates all possible orders from zero up to the maximun number of bonds in the molecule. Other topological indexes such as Wiener and Schultz indexes can also be calculated.

Estimation of standard enthalpy of formation of alkanes in gaseous state by calculating size, structural and electronic parameters in the molecules

A quantitative analysis is made on the correlation ship of thermodynamic property, i.e., standard enthalpy of formation (ΔH fº) with Kier's molecular connectivity index(¹Xv),vander waal's volume (Vw) electrotopological state index (E) and refractotopological state index (R) in gaseous state of alkanes. The regression analysis reveals a significant linear correlation of standard enthalpy of formation (ΔH fº) with ¹Xv, Vw, E and R. The equations obtained by regression analysis may be used to estimate standard enthalpy of formation (ΔH fº) of alkanes in gaseous state.

Efeito da fragmentação sobre a persistência de anfíbios anuros (Amphibia: Anura) na Mata Atlântica

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Efeito da fragmentação sobre a persistência de anfíbios anuros (Amphibia: Anura) na Mata Atlântica

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)

Metabolic connectivity as index of verbal working memory.

Positron emission tomography (PET) data are commonly analyzed in terms of regional intensity, while covariant information is not taken into account. Here, we searched for network correlates of healthy cognitive function in resting state PET data. PET with [(18)F]-fluorodeoxyglucose and a test of verbal working memory (WM) were administered to 35 young healthy adults. Metabolic connectivity was modeled at a group level using sparse inverse covariance estimation. Among 13 WM-relevant Brodmann areas (BAs), 6 appeared to be robustly connected. Connectivity within this network was significantly stronger in subjects with above-median WM performance. In respect to regional intensity, i.e., metabolism, no difference between groups was found. The results encourage examination of covariant patterns in FDG-PET data from non-neurodegenerative populations.

Whole Cortical And Default Mode Network Mean Functional Connectivity As Potential Biomarkers For Mild Alzheimer's Disease.

The search for an Alzheimer's disease (AD) biomarker is one of the most relevant contemporary research topics due to the high prevalence and social costs of the disease. Functional connectivity (FC) of the default mode network (DMN) is a plausible candidate for such a biomarker. We evaluated 22 patients with mild AD and 26 age- and gender-matched healthy controls. All subjects underwent resting functional magnetic resonance imaging (fMRI) in a 3.0 T scanner. To identify the DMN, seed-based FC of the posterior cingulate was calculated. We also measured the sensitivity/specificity of the method, and verified a correlation with cognitive performance. We found a significant difference between patients with mild AD and controls in average z-scores: DMN, whole cortical positive (WCP) and absolute values. DMN individual values showed a sensitivity of 77.3% and specificity of 70%. DMN and WCP values were correlated to global cognition and episodic memory performance. We showed that individual measures of DMN connectivity could be considered a promising method to differentiate AD, even at an early phase, from normal aging. Further studies with larger numbers of participants, as well as validation of normal values, are needed for more definitive conclusions.

Intracortical connectivity of layer VI pyramidal cells in the barrel cortex of mice

ABSTRACT : The whisker-to-barrel pathway of rodents is formed by a series of somatotopic projections from the mystacial whisker follicles to the layer IV of the primary somatosensory cortex such that each follicle corresponds to a cluster of cortical neurons called barrel. Barrels are present in layer IV but form part of functional columns that comprise the entire depth of the somatosensory cortex. Interestingly, the cortex of the barrelless mouse strain (BRL) is organized such a manner that thalamocortical afferents do not remodel their projections in layer IV and barrels fail to appear. Nevertheless, functionally, a columnar organization persists, indicating that functional columns are not only provided by thalamocortical projections and layer IV cells. Since in the visual cortex of cats, layer VI cells contribute to the response properties of layer IV neurons, we wonder whether layer VI pyramidal cells could contribute to the columnar organization of the primary somatosensory cortex of mice. To address -this question, we morphologically analyzed the distribution of intracortical axon collaterals of layer VI neurons after in-vivo juxtacellular injections of biocytin in the C2 barrel column. Injected hemispheres were tangentially serial cut and intracortical collaterals of individual layer VI neurons were reconstructed at the light microscopic level. The position of axonal boutons was recorded to evaluate the distribution of presumed synaptic contacts. In normal (NOR) mice, cluster analysis shows that layer VI pyramidal cells can be classified in four statistically different clusters of neurons. Moreover, we assume that two classes are formed by cortico-cortical neurons and two classes are formed by cortico-thalamic neurons. Looking at the direction of the main axon in the white matter, we noticed that its orientation correlates perfectly with the type of neuron: cortico-cortical neurons send main axon medially whereas cortico-thalamic neurons send main axon laterally. Performing the same study in the BRL strain, we showed that the BRL mutation affects layer VI pyramidal cells tangentially and radially: the effects of the mutation are illustrated by a significant decrease of the index of colurnnarization and a significant decrease of percentage of boutons in granular and supragranular layers comparing to NOR neurons. In spite of these differences, the same four classes of layer VI neurons have been found in BRL mice. Using a tangential analysis of the boutons distribution, we showed that putative synapses are distributed mainly in the C2 barrel column. This was observed for each layer, type of neuron, cluster or strain, indicating that layer VI pyramidal cells could participate to the functional columnar organization of the barrel cortex. To determine post-synaptic partners of layer VI neurons in layer IV, we conducted an ultrastructural analysis of layer VI-to-IV contacts. We showed that synapses principally occur on spines and spiny dendritic shafts, supposed to belong to excitatory neurons. We furthermore showed that pre-synaptic elements are significantly different between en passant and terminaux contacts, which support hypothesis that terminaux boutons should show longer duration of facilitation than en passant boutons. RÉSUMÉ : Le «whisker-to-barrel pathway» des rongeurs est caractérisé par une série de projections somatotopiques depuis les follicules des moustaches ('whiskers') jusqu'à la couche IV de l'aire somatosensorielle primaire, de telle façon que chaque follicule corresponde à un groupe de neurones corticaux appelés tonneaux (`barrels'). Les tonneaux sont seulement présents en couche IV mais font partie de colonnes fonctionnelles qui s'étendent sur toute la profondeur du cortex somatosensoriel. Chez les souris mutantes barrelless (BRL), le cortex somatosensoriel est organisé de façon telle que lés afférences thalamocorticales ne remodellent pas leurs projections en couche IV et que les tonneaux n'apparaissent pas. Fonctionnellement, pourtant, une organisation en colonnes persiste, ce qui indique que les colonnes fonctionnelles ne sont pas uniquement produites par les projections thalamocorticales et par les cellules de la couche IV. Puisque les cellules de la couche VI contribuent à influencer les réponses des cellules de la couche IV dans le cortex visuel du chat, nous nous sommes demandé si ces cellules ne pourraient pas aussi contribuer à l'organisation en colonnes du cortex somatosensoriel primaire de la souris. Pour répondre à cette question, nous avons analysé de façon morphologique la distribution intracorticale des collatéraux axonaux de neurones de la couche VI. Suite à des injections juxtacellulaires de biocytine in-vivo dans la colonne C2, les hémisphères cérébraux ont été tangentiellement coupés en série et les collatéraux intracorticaux des neurones de la couche VI ont été reconstruits en microscopie optique. La position des boutons axonaux a aussi été enregistrée pour évaluer la distribution des contacts synpptiques potentiels. Chez les souris NOR, une analyse multivariée montre que les cellules pyramidales de la couche VI sont distribuées en quatre classes. Deux de ces classes sont probablement formées de neurons cortico-corticaux, alors que les deux autres sont probablement formées de neurones corticothalamiques. En observant la direction de l'axone principal dans la matière blanche, nous avons noté que son orientation est parfaitement corrélée avec le type supposé de neurone : les neurones corticocorticaux envoient leurs axones principaux médiallement, alors que les neurons cortico-thalamiques envoient leurs axones principaux latéralement. En menant la même étude chez les souris BRL, nous avons montré que la mutation affecte les cellules pyramidales de la couche VI de façon tangentielle, mais aussi radiaire : les effets de 1a mutation se traduisent par une diminution significative de l'index de « columnarization » et de la connectivité en couches granulaire et supragranulaire. Malgré ces différences, les quatre mêmes classes de neurones ont été retrouvées. En utilisant une analyse tangentielle de la distribution des boutons, nous avons montré que les synapses potentielles sont distribuées principalement dans la colonne C2. Cette observation a été faite dans chaque couche, chaque type de neurones, chaque classe de neurones et chaque souche de souris, indicant que les cellules de la couche VI participent certainement à l'organisation en colonne du cortex somatosensoriel. Pour déterminer les partenaires post-synaptiques des cellules de la couche VI en couche IV, nous avons conduit une analyse ultrastructurelle de ces contacts. Nous avons montré que les synapses interviennent principalement sur les épines et sur les dendrites supposés appartenir à des cellules excitatrices. Nous avons aussi montré que les éléments pré-synaptiques de ces synapses sont significativement differents selon le type de bouton, en passant ou terminal, ce qui supporte l'hypothèse que les boutons terminaux seraient capables d'une plus longue facilitation.

Brain Connectivity Analysis in Children. Effects of Prematurity. and Prenatal Growth Restriction

Introduction: Survival of children born prematurely or with very low birth weight has increased dramatically, but the long term developmental outcome remains unknown. Many children have deficits in cognitive capacities, in particular involving executive domains and those disabilities are likely to involve a central nervous system deficit. To understand their neurostructural origin, we use DTI. Structurally segregated and functionally regions of the cerebral cortex are interconnected by a dense network of axonal pathways. We noninvasively map these pathways across cortical hemispheres and construct normalized structural connection matrices derived from DTI MR tractography. Group comparisons of brain connectivity reveal significant changes in fiber density in case of children with poor intrauterine grown and extremely premature children (gestational age<28 weeks at birth) compared to control subjects. This changes suggest a link between cortico-axonal pathways and the central nervous system deficit. Methods: Sixty premature born infants (5-6 years old) were scanned on clinical 3T scanner (Magnetom Trio, Siemens Medical Solutions, Erlangen, Germany) at two hospitals (HUG, Geneva and CHUV, Lausanne). For each subject, T1-weighted MPRAGE images (TR/TE=2500/2.91,TI=1100, resolution=1x1x1mm, matrix=256x154) and DTI images (30 directions, TR/TE=10200/107, in-plane resolution=1.8x1.8x2mm, 64 axial, matrix=112x112) were acquired. Parent(s) provided written consent on prior ethical board approval. The extraction of the Whole Brain Structural Connectivity Matrix was performed following (Cammoun, 2009 and Hagmann, 2008). The MPARGE images were registered using an affine registration to the non-weighted-DTI and WM-GM segmentation performed on it. In order to have equal anatomical localization among subjects, 66 cortical regions with anatomical landmarks were created using the curvature information, i.e. sulcus and gyrus (Cammoun et al, 2007; Fischl et al, 2004; Desikan et al, 2006) with freesurfer software (http://surfer.nmr.mgh.harvard.edu/). Tractography was performed in WM using an algorithm especially designed for DTI/DSI data (Hagmann et al., 2007) and both information were then combined in a matrix. Each row and column of the matrix corresponds to a particular ROI. Each cell of index (i,j) represents the fiber density of the bundle connecting the ROIs i and j. Subdividing each cortical region, we obtained 4 Connectivity Matrices of different resolution (33, 66, 125 and 250 ROI/hemisphere) for each subject . Subjects were sorted in 3 different groups, namely (1) control, (2) Intrauterine Growth Restriction (IUGR), (3) Extreme Prematurity (EP), depending on their gestational age, weight and percentile-weight score at birth. Group-to-group comparisons were performed between groups (1)-(2) and (1)-(3). The mean age at examination of the three groups were similar. Results: Quantitative analysis were performed between groups to determine fibers density differences. For each group, a mean connectivity matrix with 33ROI/hemisphere resolution was computed. On the other hand, for all matrix resolutions (33,66,125,250 ROI/hemisphere), the number of bundles were computed and averaged. As seen in figure 1, EP and IUGR subjects present an overall reduction of fibers density in both interhemispherical and intrahemispherical connections. This is given quantitatively in table 1. IUGR subjects presents a higher percentage of missing fiber bundles than EP when compared to control subjects (~16% against 11%). When comparing both groups to control subjects, for the EP subjects, the occipito-parietal regions seem less interhemispherically connected whilst the intrahemispherical networks present lack of fiber density in the lymbic system. Children born with IUGR, have similar reductions in interhemispherical connections than the EP. However, the cuneus and precuneus connections with the precentral and paracentral lobe are even lower than in the case of the EP. For the intrahemispherical connections the IUGR group preset a loss of fiber density between the deep gray matter structures (striatum) and the frontal and middlefrontal poles, connections typically involved in the control of executive functions. For the qualitative analysis, a t-test comparing number of bundles (p-value<0.05) gave some preliminary significant results (figure 2). Again, even if both IUGR and EP appear to have significantly less connections comparing to the control subjects, the IUGR cohort seems to present a higher lack of fiber density specially relying the cuneus, precuneus and parietal areas. In terms of fiber density, preliminary Wilcoxon tests seem to validate the hypothesis set by the previous analysis. Conclusions: The goal of this study was to determine the effect of extreme prematurity and poor intrauterine growth on neurostructural development at the age of 6 years-old. This data indicates that differences in connectivity may well be the basis for the neurostructural and neuropsychological deficit described in these populations in the absence of overt brain lesions (Inder TE, 2005; Borradori-Tolsa, 2004; Dubois, 2008). Indeed, we suggest that IUGR and prematurity leads to alteration of connectivity between brain structures, especially in occipito-parietal and frontal lobes for EP and frontal and middletemporal poles for IUGR. Overall, IUGR children have a higher loss of connectivity in the overall connectivity matrix than EP children. In both cases, the localized alteration of connectivity suggests a direct link between cortico-axonal pathways and the central nervous system deficit. Our next step is to link these connectivity alterations to the performance in executive function tests.

Classifying minimally disabled multiple sclerosis patients from resting state functional connectivity.

Multiple sclerosis (MS), a variable and diffuse disease affecting white and gray matter, is known to cause functional connectivity anomalies in patients. However, related studies published to-date are post hoc; our hypothesis was that such alterations could discriminate between patients and healthy controls in a predictive setting, laying the groundwork for imaging-based prognosis. Using functional magnetic resonance imaging resting state data of 22 minimally disabled MS patients and 14 controls, we developed a predictive model of connectivity alterations in MS: a whole-brain connectivity matrix was built for each subject from the slow oscillations (<0.11Hz) of region-averaged time series, and a pattern recognition technique was used to learn a discriminant function indicating which particular functional connections are most affected by disease. Classification performance using strict cross-validation yielded a sensitivity of 82% (above chance at p<0.005) and specificity of 86% (p<0.01) to distinguish between MS patients and controls. The most discriminative connectivity changes were found in subcortical and temporal regions, and contralateral connections were more discriminative than ipsilateral connections. The pattern of decreased discriminative connections can be summarized post hoc in an index that correlates positively (ρ=0.61) with white matter lesion load, possibly indicating functional reorganisation to cope with increasing lesion load. These results are consistent with a subtle but widespread impact of lesions in white matter and in gray matter structures serving as high-level integrative hubs. These findings suggest that predictive models of resting state fMRI can reveal specific anomalies due to MS with high sensitivity and specificity, potentially leading to new non-invasive markers.

The Connectivity Agenda Five years of success in Colombian e-gov initiatives.

In this article the author try to emphasize how the Connectivity Agenda, enacted in 2000 as the Colombian policy to move the country toward the knowledge society trough the intensive use of Information and Communication Technologies – ICT, has been a successful electronic government initiative. To achieve it, the author describes first the general policy outline and then the proposed benefits comparing them to the ones already obtained, and explaining how there is no gap between planning and execution. To complement this exposition, the author presents the results of an evaluation model applied, which focused on determining what the citizens expect from the electronic administration and how they perceive it. Finally, the author states how both approaches conclude that the Connectivity Agenda can be considered as a successful electronic government initiative.