Optimization of fMRI Processing Parameters for Simutaneous Acquisition of EEG/fMRI in Focal Epilepsy

In the context of focal epilepsy, the simultaneous combination of electroencephalography (EEG) and functional magnetic resonance imaging (fMRI) holds a great promise as a technique by which the hemodynamic correlates of interictal spikes detected on scalp EEG can be identified. The fact that traditional EEG recordings have not been able to overcome the difficulty in correlating the ictal clinical symptoms to the onset in particular areas of the lobes, brings the need of mapping with more precision the epileptogenic cortical regions. On the other hand, fMRI suggested localizations more consistent with the ictal clinical manifestations detected. This study was developed in order to improve the knowledge about the way parameters involved in the physical and mathematical data, produced by the EEG/fMRI technique processing, would influence the final results. The evaluation of the accuracy was made by comparing the BOLD results with: the high resolution EEG maps; the malformative lesions detected in the T1 weighted MR images; and the anatomical localizations of the diagnosed symptomatology of each studied patient. The optimization of the set of parameters used, will provide an important contribution to the diagnosis of epileptogenic focuses, in patients included on an epilepsy surgery evaluation program. The results obtained allowed us to conclude that: by associating the BOLD effect with interictal spikes, the epileptogenic areas are mapped to localizations different from those obtained by the EEG maps representing the electrical potential distribution across the scalp (EEG); there is an important and solid bond between the variation of particular parameters (manipulated during the fMRI data processing) and the optimization of the final results, from which smoothing, deleted volumes, HRF (used to convolve with the activation design), and the shape of the Gamma function can be certainly emphasized.

Psicopatologia obsessivo-compulsiva na distonia focal primária : aspectos neuropsiquiátricos de uma doença do movimento

RESUMO: pela contracção involuntária de grupos musculares de extensão variável, originando movimentos involuntários e posturas anómalas, por vezes dolorosas. O tratamento convencional consiste em injecções localizadas de toxina botulínica, podendo, em casos refractários, estar indicado o tratamento por estimulação cerebral profunda. A neurobiologia da distonia focal primária permanece incompletamente compreendida. Os estudos de neuro-imagem estrutural e funcional revelam alterações subtis da anatomia e funcionamento do estriado e das vias cortico-basais, com destaque para o aumento do volume, da actividade metabólica e da neuroplasticidade do putamen e de áreas corticais motoras, pré-motoras e sensitivas. O conjunto destas alterações aponta para uma disrupção da regulação inibitória de programas motores automáticos sustentados pelo estriado e pelas vias ortico-subcorticais. Nos últimos anos tem crescido o interesse pelas manifestações psiquiátricas e cognitivas da distonia (estas últimas muito pouco estudadas). Tem despertado particular interesse a possível associação entre distonia focal primária e perturbação obsessivo-compulsiva (POC), cuja neurobiologia parece notavelmente sobreponível à da distonia primária. Com efeito, os estudos de neuro-imagem estrutural e funcional na POC revelam consistentemente aumento do volume e actividade do estriado e do córtex órbito-frontal, apontando mais uma vez para uma disfunção do controlo inibitório, no estriado, de programas comportamentais e cognitivos automáticos. Objectivos: 1. Explorar a prevalência e intensidade de psicopatologia em geral, e de psicopatologia obsessivo-compulsiva em particular, numa amostra de indivíduos com distonia focal primária; 2. Explorar a ocorrência, natureza e intensidade de alterações do funcionamento cognitivo numa amostra de indivíduos com distonia focal primária; 3. Investigar a associação entre a gravidade da distonia focal, a intensidade da psicopatologia, e a intensidade das alterações cognitivas. Metodologia: Estudo de tipo transversal, caso-controlo, observacional e descritivo, com objectivos puramente exploratórios. Casos: 45 indivíduos com distonia focal primária (15 casos de blefaroespasmo, 15 de cãibra do escrivão, 15 de distonia cervical espasmódica), recrutados através da Associação Portuguesa de Distonia. Critérios de inclusão: idade = 18; distonia focal primária pura (excluindo casos de distonia psicogénica possível ou provável de acordo com os critérios de Fahn e Williams); Metabolismo do cobre e Ressonância Magnética Nuclear sem alterações. Controlos doentes: 46 casos consecutivos recrutados a partir da consulta externa do Hospital Egas Moniz: 15 doentes com espasmo hemifacial, 14 com espondilartropatia cervical, 17 com síndrome do canal cárpico. Controlos saudáveis: 30 voluntários. Critérios de exclusão para todos os grupos: Mini-Mental State Examination patológico, tratamento actual com anti-colinérgicos, antipsicóticos, inibidores selectivos da recaptação da serotonina, antidepressivos tri- ou tetracíclicos. Avaliação: Avaliação neurológica: história e exame médico e neurológico completos. Cotação da gravidade da distonia com a Unified Dystonia Rating Scale. Avaliação psicopatológica: Symptom Check-List-90-Revised; entrevista psiquiátrica de 60 minutos incluindo a Mini-International Neuropsychiatric Interview (MINI), versão 4.4 (validada em Português), complementada com os módulos da MINI Plus versão 5.0.0 para depressão ao longo da vida e dependência/ abuso do álcool e outras substâncias ao longo da vida; Yale-Brown Obsessive-Compulsive Symptom Checklist e a Yale-Brown Obsessive-Compulsive Scale (Y-BOCS). Avaliação neuropsicológica: Wisconsin Card Sorting Test (WCST; flexibilidade cognitiva); Teste de Stroop (inibição de resposta); Block Assembly Test (capacidade visuo-construtiva); Teste de Retenção Visual de Benton (memória de trabalho visuo-espacial). Análise estatística:os dados foram analisados com a aplicação informática SPSS for Windows, versão 13. Para a comparação de proporções utilizaram-se o teste do Chi-quadrado e o teste de Fisher. Para a comparação de variáveis quantitativas entre dois grupos utilizou-se o teste t de Student ou o teste U de Mann-Whitney (teste de Wilcoxon no caso de amostras emparelhadas). Para comparações de médias entre três grupos recorreu-se à Análise de Variância a um factor (variáveis de intervalo e de rácio), ou ao teste de Kruskal-Wallis (variáveis ordinais). Para o estudo da associação entre variáveis foram utilizados os coeficientes de correlação de Pearson ou de Spearman, a análise de correlações canónicas, a análise de trajectórias e a regressão logística. Adoptou-se um Alpha de 0.05. Resultados: Os doentes com distonia focal primária apresentaram uma pontuação média na Y- -BOCS significativamente superior à dos dois grupos de controlo. Em 24.4% dos doentes com distonia a pontuação na Y-BOCS foi superior a 16. Estes doentes eram predominantemente mulheres, tinham uma maior duração média da doença e referiam predominantemente sintomas obsessivo-compulsivos (SOC) de contaminação e lavagem. Os dois grupos com doença crónica apresentaram pontuações médias superiores às dos indivíduos saudáveis nas escalas de ansiedade, somatização e psicopatologia geral. Os doentes com distonia tratados com toxina botulínica apresentaram pontuações inferiores às dos doentes não tratados nas escalas de ansiedade generalizada, fobia, somatização e depressão, mas não na Y-BOCS. Sessenta por cento dos doentes com distonia apresentavam pelo menos um diagnóstico psiquiátrico actual ou pregresso. O risco de apresentar um diagnóstico psiquiátrico actual era menor nos doentes tratados com toxina botulínica, aumentando com a gravidade da doença. A prevalência de POC foi 8,3% e a de depressão major 37,7%. No WCST e na Prova de Benton, os doentes com distonia focal primária demonstraram um desempenho inferior ao de ambos os grupos de controlo, cometendo sobretudo erros perseverativos. Os doentes com distonia e pontuação na Y-BOCS > 16 cometeram mais erros e respostas perseverativas no WCST do que os restantes doentes com distonia. As análises de correlações e de trajectórias revelaram que nos doentes com distonia a gravidade da distonia foi, juntamente com a idade e a escolaridade, o factor que mais interagiu com o desempenho cognitivo. Discussão: o nosso estudo é o primeiro a descrever, nos mesmos doentes com distonia focal primária, SOC significativos e alterações cognitivas. Os nossos resultados confirmam a hipótese de uma associação clínica específica entre distonia focal primária e psicopatologia obsessivo-compulsiva. Confirmam igualmente que a distonia focal primária está associada a um maior risco de desenvolver morbilidade psiquiátrica ansiosa e depressiva. O tratamento com toxina botulínica reduz este risco, mas não influencia os SOC. Entre os doentes com distonia, os que têm SOC significativos poderão diconstituir um grupo particular com maior duração da doença (mas não uma maior gravidade), predomínio do sexo feminino e predomínio de SOC de contaminação e limpeza. Em termos cognitivos, os indivíduos com distonia focal primária apresentam défices significativos de flexibilidade cognitiva (particularmente acentuados nos doentes com SOC significativos) e de memória de trabalho visuo-espacial. Estes últimos devem-se essencialmente a um défice executivo e não a uma incapacidade visuo-construtiva ou visuo-perceptiva. A disfunção cognitiva não é explicável pela psicopatologia depressiva nem pela incapacidade motora, já que os controlos com doença periférica crónica tiveram um desempenho superior ao dos doentes com distonia. No seu conjunto os nossos resultados sugerem que os SOC que ocorrem na distonia focal primária constituem uma das manifestações clínicas da neurobiologia desta doença do movimento. O predomínio de sintomas relacionados com higiene e o perfil disexecutivo de alterações cognitivas–perseveração e dificuldades executivas de memória de trabalho visuo-espacial – apontam para a via cortico-basal dorso-lateral e para as áreas corticais que lhe estão associadas como estando implicadas na tripla associação entre sintomas motores, obsessivo-compulsivos e cognitivos. Conclusões: A distonia focal primária é um síndrome neuropsiquiátrico complexo com importantes manifestações não motoras, nomeadamente compromisso cognitivo do tipo disexecutivo e sintomas obsessivo-compulsivos. Clinicamente estas manifestações representam necessidades de tratamento que vão muito para além da simples incapacidade motora, devendo ser activamente exploradas e tratadas.-------------- ABSTRACT: Introduction: primary focal dystonia is an idiopathic movement disorder that manifests as involuntary, sustained contraction of muscular groups, leading to abnormal and often painful postures of the affected body part. Treatment is symptomatic, usually with local intramuscular injections of botulinum toxin. The neurobiology of primary focal dystonia remains unclear. Structural and functional neuroimaging studies have revealed subtle changes in striatal and cortical-basal pathway anatomy and function. The most consistent findings involve increased volume and metabolic activity of the putamen and of motor, pre-motor and somato-sensitive cortical areas. As a whole, these changes have been interpreted as reflecting a failure of striatal inhibitory control over automatic motor programs sustained by cortical-basal pathways. The last years have witnessed an increasing interest for the possible non-motor – mainly psychiatric and cognitive – manifestations of primary focal dystonia. The possible association of primary focal dystonia with obsessive-compulsive disorder (OCD) has raised particular interest. The neurobiology of the two disorders has indeed remarkable similarities: structural and functional neuroimaging studies in OCD have revealed increased volume and metabolic activity of the striatum and orbital-frontal cortex, again pointing to a disruption of inhibitory control of automatic cognitive and behavioural programs by the striatum. Objectives: 1. To explore the prevalence and severity of psychopathology – with a special emphasis on obsessive-compulsive symptoms (OCS) – in a sample of patients with primary focal dystonia;2. To explore the nature and severity of possible cognitive dysfunction in a sample of patients with primary focal dystonia; 3. To explore the possible association between dystonia severity, psychiatric symptom severity, and cognitive performance, in a sample of patients with primary focal dystonia. Methods: cross-sectional, case-control, descriptive study. Cases: forty-five consecutive, primary pure focal dystonia patients recruited from the Portuguese Dystonia Association case register (fifteen patients with blepharospasm, 15 with cervical dystonia and 15 with writer’s cramp). Inclusion criteria were: age = 18; primary pure focal, late-onset dystonia (excluding possible or probable psychogenic dystonia according to the Fahn & Williams criteria); normal copper metabolism and Magnetic Resonance Imaging. Diseased controls: forty-six consecutive subjects from our hospital case register (15 patients with hemi-facial spasm; 14 with cervical spondilarthropathy and cervical spinal root compression; 17 with carpal tunnel syndrome). Healthy controls were 30 volunteers.Exclusion criteria for all groups: Mini-Mental State Examination score below the validated cut-off for the Portuguese population (<23 for education between 1 and 11 years; <28 for education >11 years); use of anti-cholinergics, neuroleptics, selective serotonin reuptake inhibitors, triciclic or tetraciclic antidepressants. Assessment: neurological assessment: complete medical and neurological history and physical examination; dystonia severity scoring with the Unified Dystonia Rating Scale. Psychiatric assessment:Symptom Check-List-90-Revised; 60 minute-long psychiatric interview, including Mini-International Neuropsychiatric Interview (MINI), version 4.4 (validated Portuguese version), extended with the sections for life-time major depressive disorder and life-time alcohol and substance abuse disorder from MINI-Plus version 5.0.0; Yale-Brown Obsessive-Compulsive Symptom Checklist and Yale-Brown Obsessive-Compulsive Scale (Y-BOCS). Cognitive assessment: Wisconsin Card Sorting Test (WCST; cognitive set-shifting ability); Stroop Test (response inhibition); Block Assembly Test(visual-constructive ability); Benton’s Visual Retention Test (visual-spatial working memory). Statistic analysis: Data were analyzed with SPSS for Windows version 13. Proportions were compared using Chi-Square test, or Fisher’s exact test when appropriate. Student’s t-test or Mann-Whitney’s U test (or Wilcoxon’s teste in the case of matched samples) were used for two-group comparisons. P-values were corrected for multiple comparisons. One-way ANOVA with Bonferroni post-hoc analysis (interval data), or the Kruskal-Wallis Test (ordinal data), were used for three-group comparisons. Associations were analysed with Pearson’s or Spearman’s correlation coefficients, canonical correlations, path analysis and logistic regression analysis. Alpha was set at 0.05. Results: Dystonia patients had higher Yale-Brown Obsessive-Compulsive Symptom scores than both control groups. 24.4% of primary dystonia patients had a Y-BOCS score > 16. These patients were predominantly women; they had longer disease duration, and showed a predominance of hygiene-related OCS. The two groups with chronic disease had higher anxiety, somatization and global psychopathology scores than healthy subjects. Primary dystonia patients undergoing treatment with botulinum toxin had lower anxiety, phobia, somatization and depression scores than their untreated counterparts, but similar Y-BOCS scores. Sixty percent of primary dystonia patients had at least one lifetime psychiatric diagnosis. The odds of having a currently active psychiatric diagnosis were lower in botulinum toxin treated patients, and increased with dystonia severity. The prevalence of OCD was 6.7%, and the lifetime prevalence of major depression was 37.7%. Primary dystonia patients had a lower performance than the two control groups in both the WCST and Benton’s Visual Retention Test, mainly due to an excess of perseveration errors. Primary dystonia patients with Y-BOCS score > 16 had much higher perseveration error and perseveration response scores than dystonia patients with Y-BOCS = 16. Correlation and path analysis showed that, in the primary dystonia group, dystonia severity, along with age and education, was the main factor influencing cognitive performance. Discussion: our study is the first description ever of concomitant significant OCS and cognitive impairment in primary dystonia patients. Our results confirm that primary dystonia is specifically associated with obsessive-compulsive psychopathology. They also confirm that primary focal dystonia patients are at a higher risk of developing anxious and depressive psychiatric morbidity. Treatment with botulinum toxin decreases this risk, but does not influence OCS. Primary focal dystonia patients with significant OCS may constitute a particular subgroup. They are predominantly women, with higher disease duration (but not severity) and a predominance of hygiene related OCS.In terms of cognitive performance, primary focal dystonia patients have significant deficits involving set-shifting ability and visual-spatial working memory. The latter result from an essentially executive deficit, rather than from a primary visual-constructive apraxia or perceptual deficit. Furthermore, cognitive flexibility difficulties were more prominent in the subset of primary dystonia patients with significant OCS. The cognitive dysfunction found in dystonia patients is not attributable to depressive psychopathology or motor disability, as their performance was significantly lower than that of similarly impaired diseased controls. Our results suggest that OCS in primary focal dystonia are a direct, primary manifestation of the motor disorder’s neurobiology. The predominance of hygiene-related symptoms and the disexecutive pattern of cognitive impairment – set-shifting and visual-spatial working memory deficits – suggest that the dorsal-lateral cortical-basal pathway may play a decisive role in the triple association of motor dysfunction, OCS and cognitive impairment. Conclusions: primary focal dystonia is a complex neuropsychiatric syndrome with significant non- -motor manifestations, namely cognitive executive deficits and obsessive-compulsive symptoms.Clinically, our results show that PFD patients may have needs for care that extend far beyond a merely motor disability and must be actively searched for and treated.

Aspectos da transmissão focal de malária na Ilha de São Luis, Maranhão

O estudo foi desenvolvido com o objetivo de caracterizar um foco de transmissão de malária em Guarapiranga, município de São José de Ribamar, MA. A unidade de estudo foi o grupo familiar, aplicando-se questionário sobre identificação, situação econômica, hábitos dos moradores e características dos domicílios. Foram visitadas 54 famílias, totalizando 207 habitantes, sendo 113 do sexo masculino e 95, do feminino. 95 pessoas tinham de 5 a 24 anos. Agricultura e pesca são a base da economia local, com 64,8% das famílias auferindo renda mensal menor que um salário mínimo. A maioria das casas é construída de taipa, coberta de palha, tem piso de chão batido e não tem instalações sanitárias. Em relação à entrada de mosquitos, 62,2% são parcialmente protegidas. A água para consumo provém de cacimbas ou poços rasos em 78,8%, e o lixo é deixado a céu aberto em 53,7% dos domicílios. Foram registrados 106 casos de malária por Plasmodium vivax. O provável transmissor foi o Anopheles (N) aquasalis e o tratamento com cloroquina associado à primaquina teve bons resultados.

The existence of only one haplotype of Leishmania major in the main and potential reservoir hosts of zoonotic cutaneous leishmaniasis using different molecular markers in a focal area in Iran

IntroductionLeishmania major is the causative agent of zoonotic cutaneous leishmaniasis (ZCL), and great gerbils are the main reservoir hosts in Iran. Abarkouh in central Iran is an emerging focal point for which the reservoir hosts of ZCL are unclear. This research project was designed to detect any Leishmania parasites in different wild rodent species.MethodsAll rodents captured in 2011 and 2012 from Abarkouh district were identified based on morphological characteristics and by amplification of the rodent cytochrome b (Cyt b) gene. To detect Leishmania infection in rodents, deoxyribonucleic acid (DNA) of each ear was extracted. Internal transcribed spacer-ribosomal deoxyribonucleic acid (ITS-rDNA), microsatellites, kinetoplast deoxyribonucleic acid (kDNA) and cytochrome b genes of Leishmania parasites were amplified by polymerase chain reaction (PCR). Restriction fragment length polymorphism (RFLP) and sequencing were employed to confirm the Leishmania identification.ResultsOf 68 captured rodents in the region, 55 Rhombomys opimus were identified and nine Leishmaniainfections (9/55) were found. In addition, eight Meriones libycus and two Tatera indicawere sampled, and one of each was confirmed to be infected. Two Meriones persicus and one Mus musculuswere sampled with no infection.ConclusionsThe results showed that all 11 unambiguously positive Leishmania infections were Leishmania major. Only one haplotype of L. major(GenBank access No. EF413075) was found and at least three rodents R. opimus, M. libycus and T. indica—appear to be the main and potential reservoir hosts in this ZCL focus. The reservoir hosts are variable and versatile in small ZCL focal locations.

Assessment of overlay masonry strengthening system under in-plane monotonic and cyclic loading using the diagonal tensile test

The development of novel strengthening techniques to address the seismic vulnerability of masonry elements is gradually leading to simpler, faster and more effective strengthening strategies. In particular, the use of fabric reinforced cementitious matrix systems is considered of great potential, given the increase of ductility achieved with simple and economic strengthening procedures. To assess the effectiveness of these strengthening systems, and considering that the seismic action is involved, one important component of the structural behaviour is the in-plane cyclic response. In this work is discussed the applicability of the diagonal tensile test for the assessment of the cyclic response of strengthened masonry. The results obtained allowed to assess the contribution of the strengthening system to the increase of the load carrying capacity of masonry elements, as well as to evaluate the damage evolution and the stiffness degradation mechanisms developing under cyclic loading.

In-plane stiffness of timber floors strengthened with CLT

Five full-scale timber floors were tested in order to analyse the in-plane behaviour of these structural systems. The main objective was an assessment of the effectiveness of in-plane strengthening using cross-laminated timber (CLT). To this end, one unstrengthened specimen (original), one specimen strengthened with a second layer of floorboards, two specimens strengthened with three CLT panels, and one specimen strengthened with two CLT panels, were tested. A numerical analysis was then performed in order to analyse the composite behaviour of the timber floors in more detail. Due to its importance as regards composite behaviour, the first phase of the experimental programme was composed of push-out tests on specimens representing the shear connection between the timber beams and the CLT panels. This paper describes the tests performed and the numerical modelling applied to evaluate the composite behaviour of the strengthened timber floors. The use of CLT panels is revealed to be an effective way to increase the in-plane stiffness of timber floors, through which the behaviour of the composite structure can be significantly changed, depending on the connection applied, or modified as required.

Numerical Assessment of the out-of-plane response of a brick masonry structure without box behaviour

This paper presents the assessment of the out-of-plane response due to seismic loading of a masonry structure without rigid diaphragm. This structure corresponds to real scale brick masonry specimen with a main façade connected to two return walls. Two modelling approaches were defined for this evaluation. The first one consisted on macro modelling, whereas the second one on simplified micro modelling. As a first step of this study, static nonlinear analyses were conducted to the macro model aiming at evaluating the out-of-plane response and failure mechanism of the masonry structure. A sensibility analyses was performed in order to assess the mesh size and material model dependency. In addition, the macro models were subjected to dynamic nonlinear analyses with time integration in order to assess the collapse mechanism. Finally, these analyses were also applied to a simplified micro model of the masonry structure. Furthermore, these results were compared to experimental response from shaking table tests. It was observed that these numerical techniques simulate correctly the in-plane behaviour of masonry structures. However, the

Out-of-plane behavior of masonry infill walls

In order to investigate the out-of-plane behaviour of masonry infill walls, quasi-static testing was performed on a masonry infill walls built inside a reinforced concrete frame by means of an airbag system to apply the uniform out-of-plane load to each component of the infill. The main advantage of this testing setup is that the out-of-plane loading can be applied more uniformly in the walls, contrarily to point load configuration. The test was performed under displacement control by selecting the mid-point of the infill as control point. Input and output air in the airbag was controlled by using a software to apply a specific displacement in the control point of the infill wall. The effect of the distance between the reaction frame of the airbag and the masonry infill on the effective contact area was previously analysed. Four load cells were attached to the reaction frame to measure the out-of-plane force. The effective contact area of the airbag was calculated by dividing the load measured in load cells by the pressure inside the airbag. When the distance between the reaction walls and the masonry infill wall is smaller, the effective area is closer to the nominal area of the airbag. Deformation and crack patterns of the infill confirm the formation of arching mechanism and two-way bending of the masonry infill. Until collapse of the horizontal interface between infill and upper beam in RC frame, the infill bends in two directions but the failure of that interface which is known as weakest interface due to difficulties in filling the mortar between bricks of last row and upper beam results in the crack opening trough a well-defined path and the consequent collapse of the infill.

In-plane and out-of plane experimental characterization of rc masonry infilled frames

Seismic investigations of typical south European masonry infilled frames were performed by testing two reduced scale specimens: one in the in-plane direction and another in the out-ofplane direction. Information about geometry and reinforcement scheme of those structures constructed in 1980s were obtained by [1]. The specimen to be tested in the in-plane direction was constructed as double leaf masonry while the specimen for testing in the out-of-plane direction is constructed with only its exterior leaf since the recent earthquakes have highlighted the vulnerability of the external leaf of the infills in out-of-plane direction [2]. The tests were performed by applying the pre-defined values of displacements in the in-plane and out-of-plane directions in the control points. For in-plane testing it was done by hydraulic actuator and for out-of-plane testing through the application of an airbag. Input and output air in the airbag was controlled by using a software to apply a specific displacement in the control point of the infill wall. Mid-point of the infill was assumed as a control point for outof- plane testing. Deformation and crack patterns of the infill confirm the formation of two-way arching mechanism of the masonry infill until collapse of the upper horizontal interface between infill and frame which is known as weakest interface due to difficulties in filling the mortar between bricks of last row and upper beam. This results in the crack opening through a welldefined path and the consequent collapse of the infill.

Dynamic interface model for masonry walls subjected to high strain rate out-of-plane loads

The present study proposes a dynamic constitutive material interface model that includes non-associated flow rule and high strain rate effects, implemented in the finite element code ABAQUS as a user subroutine. First, the model capability is validated with numerical simulations of unreinforced block work masonry walls subjected to low velocity impact. The results obtained are compared with field test data and good agreement is found. Subsequently, a comprehensive parametric analysis is accomplished with different joint tensile strengths and cohesion, and wall thickness to evaluate the effect of the parameter variations on the impact response of masonry walls.

Mixed Hodge structures and vector bundles on the projective Plane I

We describe an equivalence of categories between the category of mixed Hodge structures and a category of vector bundles on the toric complex projective plane which verify some semistability condition. We then apply this correspondence to define an invariant which generalises the notion of R-split mixed Hodge structure and compute extensions in the category of mixed Hodge structures in terms of extensions of the corresponding vector bundles. We also give a relative version of this correspondence and apply it to define stratifications of the bases of the variations of mixed Hodge structure.

On Hyperbolic once-punctured-torus bundles II. Fractal tessellations of the plane

We describe fractal tessellations of the complex plane that arise naturally from Cannon-Thurston maps associated to complete, hyperbolic, once-punctured-torus bundles. We determine the symmetry groups of these tessellations.

Intersected Plane

Combined media on photographic paper. 55” x 63¾”