17 resultados para Fuchsian groups, Uniformization, Calabi-Yau manifold, differential equation, mirror symmetry
em BORIS: Bern Open Repository and Information System - Berna - Suiça
Resumo:
Modeling of tumor growth has been performed according to various approaches addressing different biocomplexity levels and spatiotemporal scales. Mathematical treatments range from partial differential equation based diffusion models to rule-based cellular level simulators, aiming at both improving our quantitative understanding of the underlying biological processes and, in the mid- and long term, constructing reliable multi-scale predictive platforms to support patient-individualized treatment planning and optimization. The aim of this paper is to establish a multi-scale and multi-physics approach to tumor modeling taking into account both the cellular and the macroscopic mechanical level. Therefore, an already developed biomodel of clinical tumor growth and response to treatment is self-consistently coupled with a biomechanical model. Results are presented for the free growth case of the imageable component of an initially point-like glioblastoma multiforme tumor. The composite model leads to significant tumor shape corrections that are achieved through the utilization of environmental pressure information and the application of biomechanical principles. Using the ratio of smallest to largest moment of inertia of the tumor material to quantify the effect of our coupled approach, we have found a tumor shape correction of 20\% by coupling biomechanics to the cellular simulator as compared to a cellular simulation without preferred growth directions. We conclude that the integration of the two models provides additional morphological insight into realistic tumor growth behavior. Therefore, it might be used for the development of an advanced oncosimulator focusing on tumor types for which morphology plays an important role in surgical and/or radio-therapeutic treatment planning.
Resumo:
The verification possibilities of dynamically collimated treatment beams with a scanning liquid ionization chamber electronic portal image device (SLIC-EPID) are investigated. The ion concentration in the liquid of a SLIC-EPID and therefore the read-out signal is determined by two parameters of a differential equation describing the creation and recombination of the ions. Due to the form of this equation, the portal image detector describes a nonlinear dynamic system with memory. In this work, the parameters of the differential equation were experimentally determined for the particular chamber in use and for an incident open 6 MV photon beam. The mathematical description of the ion concentration was then used to predict portal images of intensity-modulated photon beams produced by a dynamic delivery technique, the sliding window approach. Due to the nature of the differential equation, a mathematical condition for 'reliable leaf motion verification' in the sliding window technique can be formulated. It is shown that the time constants for both formation and decay of the equilibrium concentration in the chamber is in the order of seconds. In order to guarantee reliable leaf motion verification, these time constants impose a constraint on the rapidity of the image-read out for a given maximum leaf speed. For a leaf speed of 2 cm s(-1), a minimum image acquisition frequency of about 2 Hz is required. Current SLIC-EPID systems are usually too slow since they need about a second to acquire a portal image. However, if the condition is fulfilled, the memory property of the system can be used to reconstruct the leaf motion. It is shown that a simple edge detecting algorithm can be employed to determine the leaf positions. The method is also very robust against image noise.
Resumo:
We present a derivation and, based on it, an extension of a model originally proposed by V.G. Niziev to describe continuous wave laser cutting of metals. Starting from a local energy balance and by incorporating heat removal through heat conduction to the bulk material, we find a differential equation for the cutting profile. This equation is solved numerically and yields, besides the cutting profiles, the maximum cutting speed, the absorptivity profiles, and other relevant quantities. Our main goal is to demonstrate the model’s capability to explain some of the experimentally observed differences between laser cutting at around 1 and 10 μm wavelengths. To compare our numerical results to experimental observations, we perform simulations for exactly the same material and laser beam parameters as those used in a recent comparative experimental study. Generally, we find good agreement between theoretical and experimental results and show that the main differences between laser cutting with 1- and 10-μm beams arise from the different absorptivity profiles and absorbed intensities. Especially the latter suggests that the energy transfer, and thus the laser cutting process, is more efficient in the case of laser cutting with 1-μm beams.
Resumo:
Partial differential equation (PDE) solvers are commonly employed to study and characterize the parameter space for reaction-diffusion (RD) systems while investigating biological pattern formation. Increasingly, biologists wish to perform such studies with arbitrary surfaces representing ‘real’ 3D geometries for better insights. In this paper, we present a highly optimized CUDA-based solver for RD equations on triangulated meshes in 3D. We demonstrate our solver using a chemotactic model that can be used to study snakeskin pigmentation, for example. We employ a finite element based approach to perform explicit Euler time integrations. We compare our approach to a naive GPU implementation and provide an in-depth performance analysis, demonstrating the significant speedup afforded by our optimizations. The optimization strategies that we exploit could be generalized to other mesh based processing applications with PDE simulations.
Resumo:
Cell therapy along with growth factor injection is currently widely investigated to restore the intervertebral disc. However, there is increasing evidence that transplanted unconditioned bone marrow-derived stromal cells (BMSCs) cannot thrive in the intervertebral disc "niche". Moreover, uncertainty exists with respect to the cell phenotype that would be suitable to inject. The intervertebral disc cell phenotype only recently has been started to be characterised using transcriptomics profiling. Recent findings suggest that cytokeratin 19 (KRT-19) could be used as a potential candidate marker for the intervertebral disc, or more specifically the nucleus pulposus cell (NPC) phenotype. We present in vitro cell culture data using alginate bead culture of primary human BMSCs exposed to the standard chondrogenic stimulus, transforming growth factor beta-1 (TGF-β), the growth and differentiation factor 5 and/or bovine NPCs to induce a potential "discogenic" pathway. Chondrogenic induction via TGF-β pathway provoked down-regulation of KRT-19 gene expression in four out of five donors after 18 days of culture, whereas KRT-19 expression remained unchanged in the "discogenic" groups. In addition, the ratio of aggrecan/collagen II gene expression showed a remarkable difference (of at least 3 magnitudes) between the chondrogenic stimulus (low ratio) and the discogenic stimulus (high ratio). Therefore, KRT-19 and aggrecan/collagen II ratio may be potential markers to distinguish chondrogenic from "discogenic" differentiation.
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Cognitive impairments are currently regarded as important determinants of functional domains and are promising treatment goals in schizophrenia. Nevertheless, the exact nature of the interdependent relationship between neurocognition and social cognition as well as the relative contribution of each of these factors to adequate functioning remains unclear. The purpose of this article is to systematically review the findings and methodology of studies that have investigated social cognition as a mediator variable between neurocognitive performance and functional outcome in schizophrenia. Moreover, we carried out a study to evaluate this mediation hypothesis by the means of structural equation modeling in a large sample of 148 schizophrenia patients. The review comprised 15 studies. All but one study provided evidence for the mediating role of social cognition both in cross-sectional and in longitudinal designs. Other variables like motivation and social competence additionally mediated the relationship between social cognition and functional outcome. The mean effect size of the indirect effect was 0.20. However, social cognitive domains were differentially effective mediators. On average, 25% of the variance in functional outcome could be explained in the mediation model. The results of our own statistical analysis are in line with these conclusions: Social cognition mediated a significant indirect relationship between neurocognition and functional outcome. These results suggest that research should focus on differential mediation pathways. Future studies should also consider the interaction with other prognostic factors, additional mediators, and moderators in order to increase the predictive power and to target those factors relevant for optimizing therapy effects.
Resumo:
CD45, also called leucocyte common antigen is a transmembrane protein tyrosine phosphatase on the surface of nearly all white blood cells and has a functional role in signal transduction. In the brain, the expression of CD45 can be used to distinguish microglial cells with a characteristic phenotype of CD11b/c+ and CD45(low) from other central nervous system (CNS) macrophages which show an expression of CD11b/c+ and CD45(high). In the course of pathological changes in the CNS, microglia in rodents is known to readily upregulate expression of various surface molecules, such as CD45. Understanding the mechanisms that regulate expression of surface molecules is essential to study the pathogenesis of CNS diseases. In the present study, the expression of CD45 on microglia of 42 dogs was examined ex vivo by means of flow cytometry. The dogs were classified in two groups according to the histopathological diagnosis in the CNS. All dogs without changes in the CNS (group I; n = 22) only showed low percentages of CD45+ microglial cells. In group II consisting of 20 dogs with different intracranial diseases varying results were obtained. Thirteen dogs showed a low percentage of CD45+ microglial cells whereas seven dogs exhibited high percentages of microglial cells expressing CD45. Evaluation of expression intensity in these seven dogs revealed two subpopulations of CD45+ microglial cells: a large subpopulation with CD45(low) and a small subpopulation with CD45(high). The expression intensity of CD45(high) was comparable with that of canine monocytes. It was attempted to correlate these findings to age of the animals, underlying disease, duration of clinical signs, medical treatment, occurrence of seizure activity and the expression of other surface molecules. It appeared that dogs with high percentages of CD45+ suffered from long-lasting CNS disease with seizures. In future studies, the reason and consequences for upregulated CD45 in long-lasting CNS diseases has to be further evaluated.
Resumo:
The encoding of verbal stimuli elicits left-lateralized activation patterns within the medial temporal lobes in healthy adults. In our study, patients with left- and right-sided temporal lobe epilepsy (LTLE, RTLE) were investigated during the encoding and retrieval of word-pair associates using functional magnetic resonance imaging. Functional asymmetry of activation patterns in hippocampal, inferior frontal, and temporolateral neocortical areas associated with language functions was analyzed. Hippocampal activation patterns in patients with LTLE were more right-lateralized than those in patients with RTLE (P<0.05). There were no group differences with respect to lateralization in frontal or temporolateral regions of interest (ROIs). For both groups, frontal cortical activation patterns were significantly more left-lateralized than hippocampal patterns (P<0.05). For patients with LTLE, there was a strong trend toward a difference in functional asymmetry between the temporolateral and hippocampal ROIs (P=0.059). A graded effect of epileptic activity on laterality of the different regional activation patterns is discussed.
Resumo:
PURPOSE: To test the hypothesis that hyporeflective spaces in the neuroretina found on optical coherence tomography (OCT) examination have different optical reflectivities according to whether they are associated with exudation or degeneration. METHODS: Retrospective analysis of eyes with idiopathic perifoveal telangiectasia (IPT), diabetic macular edema (DME), idiopathic central serous chorioretinopathy (CSC), retinitis pigmentosa (RP), or cone dystrophy (CD) and eyes of healthy control subjects. OCT scans were performed. Raw scan data were exported and used to calculate light reflectivity profiles. Reflectivity data were acquired by projecting three rectangular boxes, each 50 pixels long and 5 pixels wide, into the intraretinal cystoid spaces, centrally onto unaffected peripheral RPE, and onto the prefoveolar vitreous. Light reflectivity in the retinal pigment epithelium (RPE), vitreous, and intraretinal spaces for the different retinal conditions and control subjects were compared. RESULTS: Reflectivities of the vitreous and the RPE were similar among the groups. Hyporeflective spaces in eyes with exudation (DME, RP, and CSC) had higher reflectivity compared with the mean reflectivity of the vitreous, whereas the cystoid spaces in the maculae of the eyes without exudation (CD and IPT) had a lower reflectivity than did the normal vitreous. CONCLUSIONS: Analysis of the light reflectivity profiles may be a tool to determine whether the density of hyporeflective spaces in the macula is greater or less than that of the vitreous, and may be a way to differentiate degenerative from exudative macular disease.
Resumo:
REASONS FOR PERFORMING STUDY: Airway mucus accumulation is associated with indoor irritant and allergen exposure in horses with recurrent airway obstruction (RAO). Epidermal growth factor receptor (EGFR) and a chloride channel (calcium activated, family member 1; CLCA1) are key signalling molecules involved in mucin gene expression. OBJECTIVES: We hypothesised that exposure to irritants and aeroallergens would lead to increased expression of the mucin gene eqMUC5AC and increased stored mucosubstance in the airways of RAO-affected horses, associated with increased neutrophils and CLCA1 and EGFR mRNA levels. METHODS: We performed quantitative RT-PCR of eqMUC5AC, CLCA1 and EGFR; volume density measurements of intraepithelial mucosubstances; and cytological differentiation of intraluminal inflammatory cells in small cartilaginous airways from cranial left and right and caudal left and right lung lobes of 5 clinically healthy and 5 RAO-affected horses that had been exposed to indoor stable environment for 5 days before euthanasia. RESULTS: Neutrophils were increased in RAO-affected horses compared to clinically healthy controls. EqMUC5AC mRNA levels were positively correlated with both CLCA1 and EGFR mRNA levels in RAO-affected horses but only with CLCA1 in controls. The relationship between eqMUC5AC and CLCA1 differed in the 2 groups of horses with RAO-affected animals overexpressing CLCA1 in relation to eqMUC5AC. CONCLUSIONS: These data implicate CLCA1 as a signalling molecule in the expression of eqMUC5AC in horses but also suggest differential regulation by CLCA1 and EGFR between horses with RAO and those with milder degrees of airway inflammation.
Resumo:
In this study, mice were vaccinated intranasally with recombinant N. caninum protein disulphide isomerase (NcPDI) emulsified in cholera toxin (CT) or cholera toxin subunit B (CTB) from Vibrio cholerae. The effects of vaccination were assessed in the murine nonpregnant model and the foetal infection model, respectively. In the nonpregnant mice, previous results were confirmed, in that intranasal vaccination with recNcPDI in CT was highly protective, and low cerebral parasite loads were noted upon real-time PCR analysis. Protection was accompanied by an IgG1-biased anti-NcPDI response upon infection and significantly increased expression of Th2 (IL-4/IL-10) and IL-17 transcripts in spleen compared with corresponding values in mice treated with CT only. However, vaccination with recNcPDI in CT did not induce significant protection in dams and their offspring. In the dams, increased splenic Th1 (IFN-γ/IL-12) and Th17 mRNA expressions was detected. No protection was noted in the groups vaccinated with recNcPDI emulsified in CTB. Thus, vaccination with recNcPDI in CT in nonpregnant mice followed by challenge infection induced a protective Th2-biased immune response, while in the pregnant mouse model, the same vaccine formulation resulted in a Th1-biased inflammatory response and failed to protect dams and their progeny.
Resumo:
C57BL/6, BALB/c, and CBA/Ca mouse strains with different MHC-I haplotypes were compared with respect to susceptibility to Neospora caninum infection. Groups of 5 mice received , , or tachyzoites of the NC-Liverpool isolate by intraperitoneal injection and were observed for disease symptoms. Humoral responses, splenocyte interferon-γ (IFN-γ) production, cerebral parasite loads, and histopathology were evaluated at human end points or the latest at 34 days postinfection (PI). The mortality rates in C57BL/6 mice were the highest, and relatively high levels of IgG1 antibodies were detected in those mice surviving till 34 days PI. In lymphocyte proliferation assays, spleen cells from C57BL6 mice stimulated with N. caninum antigen extract exhibited large variations in IFN-γ production. In BALB/c mice mortality was 0% at the lowest and 100% at the highest infection dose. Serologically they responded with high levels of both IgG2a and IgG1 subclasses, and lymphocyte proliferation assays of surviving mice yielded lower IFN-γ levels. CBA/Ca mice were the most resistant, with no animal succumbing to infection at a dose of and tachyzoites, but 100% mortality at tachyzoites. High IgG2a levels as well as increased IFN-γ in lymphocyte proliferation assays were measured in CBA/Ca mice infected with tachyzoites.
Resumo:
The aim of this paper was to examine age-related changes and gender differences in memory self-evaluation in old people and to examine the predictive power of objective memory performance and of personality variables (neuroticism and extraversion) on memory self-evaluation. In a cross-sectional study, 301 not institutionalized people aged 65± 94, 207 male and 94 female, were tested on three parameters. Subjective memory evaluation was operationalized with three one-item ratings: temporal comparison, social comparison, situation-speci® c memory self-evaluation just after performing a memory test. Objective memory assessment (free recall) used a computerized test. Personality assessment included the two main sub-scales `extraversion’ and `neuroticism’ from the Freiburger PersoÈ nlichkeits-Inventar.The results shaved that persons of all age groups have a realistic appraisal of their age-related memory decline.No gender effects were found for any of the three forms of memory self-evaluation. The relationship between objective memory performance, personality variables and memory self-evaluation however depends on age and gender. Our results show that objective memory performance is predictive for memory self-evaluation in men aged >75 years, whereas in men <75 neuroticism is the only signi® cant predictor.Men of the older cohort seem to have adapted to the age-related memory decline whereas the young old are still coping with the ongoing changes. In women of both age groups the objective memory performance is the only and strong predictor of memory self-evaluation. Our results suggest that gender-speci® c educational socialization might be the reason for these differences.
Resumo:
Forest management not only affects biodiversity but also might alter ecosystem processes mediated by the organisms, i.e. herbivory the removal of plant biomass by plant-eating insects and other arthropod groups. Aiming at revealing general relationships between forest management and herbivory we investigated aboveground arthropod herbivory in 105 plots dominated by European beech in three different regions in Germany in the sun-exposed canopy of mature beech trees and on beech saplings in the understorey. We separately assessed damage by different guilds of herbivores, i.e. chewing, sucking and scraping herbivores, gall-forming insects and mites, and leaf-mining insects. We asked whether herbivory differs among different forest management regimes (unmanaged, uneven-aged managed, even-aged managed) and among age-classes within even-aged forests. We further tested for consistency of relationships between regions, strata and herbivore guilds. On average, almost 80 of beech leaves showed herbivory damage, and about 6 of leaf area was consumed. Chewing damage was most common, whereas leaf sucking and scraping damage were very rare. Damage was generally greater in the canopy than in the understorey, in particular for chewing and scraping damage, and the occurrence of mines. There was little difference in herbivory among differently managed forests and the effects of management on damage differed among regions, strata and damage types. Covariates such as wood volume, tree density and plant diversity weakly influenced herbivory, and effects differed between herbivory types. We conclude that despite of the relatively low number of species attacking beech; arthropod herbivory on beech is generally high. We further conclude that responses of herbivory to forest management are multifaceted and environmental factors such as forest structure variables affecting in particular microclimatic conditions are more likely to explain the variability in herbivory among beech forest plots.
Resumo:
Marital split-up and spousal loss are among the most stressful critical life events. Numerous studies have documented their detrimental effects on well-being, yet the large individual differences in psychological adaptation are still not well understood. Whereas in old age bereavement is normative and can be anticipated, divorce is an “off-time” transition for this age group. In contrast to bereavement which has been amply studied, research on later life divorce is still missing despite the increasing relevance of the topic due to the significant increase of divorces in older age. Based on a modified and extended view of Amato’s divorce-stress-adjustment model (2000), the aim of this contribution is to explore the differential impact of marital split-up and widowhood in older age on psychological (life satisfaction) and social well-being (social loneliness), and the adaptation to these critical life events. Our analyses are based on data gathered in a questionnaire study, which is part of the Swiss National Centre of Competence in Research LIVES. In a first step we compared three groups of individuals aged 60 to 75 years: a sample of 251 persons with a marital split-up (127 women; 123 men), a sample of 270 widowed persons (170 women; 100 men), and a group of 221 continuously married people (110 women; 111 men), which served as control group. In a second step, we investigated the role of socio-demographic variables, intrapersonal and interpersonal resources and variables of the context of loss as predictors for the psychological adaptation to a marital break-up and loss in old age. First results by ANCOVA indicate significant differences with regard to life satisfaction among the three groups, with divorced persons with the lowest scores, followed by the bereaved ones, and the married controls with the highest. Regarding social loneliness, divorced individuals report higher social loneliness than the bereaved group and the married controls (no significant difference between widowed and the married). In both loss groups, financial and intrapersonal resources, as well as the emotional valence of the loss are the most important predictors for the psychological and social adaptation. However, happiness in the past relationship is an important resource regarding the indicators for adaptation for the widowers, but not for individuals with a marital dissolution.