217 research outputs found

    Boundaries of univalent Baker domains

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    Let ff be a transcendental entire function and let UU be a univalent Baker domain of ff. We prove a new result about the boundary behaviour of conformal maps and use this to show that the non-escaping boundary points of UU form a set of harmonic measure zero with respect to UU. This leads to a new sufficient condition for the escaping set of ff to be connected, and also a new general result on Eremenko's conjecture

    Is the relationship between subjective age, depressive symptoms and activities of daily living bidirectional?

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    International Longevity Centre–UK (ILC-UK) and University College London

    The lateral and ventromedial prefrontal cortex work as a dynamic integrated system:evidence from FMRI connectivity analysis

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    Recent functional magnetic resonance imaging (fMRI) investigations of the interaction between cognition and reward processing have found that the lateral prefrontal cortex (PFC) areas are preferentially activated to both increasing cognitive demand and reward level. Conversely, ventromedial PFC (VMPFC) areas show decreased activation to the same conditions, indicating a possible reciprocal relationship between cognitive and emotional processing regions. We report an fMRI study of a rewarded working memory task, in which we further explore how the relationship between reward and cognitive processing is mediated. We not only assess the integrity of reciprocal neural connections between the lateral PFC and VMPFC brain regions in different experimental contexts but also test whether additional cortical and subcortical regions influence this relationship. Psychophysiological interaction analyses were used as a measure of functional connectivity in order to characterize the influence of both cognitive and motivational variables on connectivity between the lateral PFC and the VMPFC. Psychophysiological interactions revealed negative functional connectivity between the lateral PFC and the VMPFC in the context of high memory load, and high memory load in tandem with a highly motivating context, but not in the context of reward alone. Physiophysiological interactions further indicated that the dorsal anterior cingulate and the caudate nucleus modulate this pathway. These findings provide evidence for a dynamic interplay between lateral PFC and VMPFC regions and are consistent with an emotional gating role for the VMPFC during cognitively demanding tasks. Our findings also support neuropsychological theories of mood disorders, which have long emphasized a dysfunctional relationship between emotion/motivational and cognitive processes in depression

    The role of subjective social status in living well for carers of people with dementia: findings from the Improving the experience of Dementia and Enhancing Active Life (IDEAL) programme

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    YesWe investigated how carers of people with dementia evaluate their standing in their community and wider society, and if this is related to ‘living well’. We used baseline data from the Improving the experience of Dementia and Enhancing Active Life programme and found that carers rated their standing in society higher than in their local community. Higher evaluations of both were associated with enhanced life satisfaction, well-being and quality of life. Initiatives that increase support or engagement in the community or wider society may help to increase carers’ perceptions of their social status, enhancing their ability to ‘live well’.The IDEAL study was funded jointly by the Economic and Social Research Council (ESRC) and the National Institute for Health Research (NIHR) through grant ES/L001853/2. The ESRC is part of UK Research and Innovation (UKRI). ‘Improving the experience of Dementia and Enhancing Active Life: a longitudinal perspective on living well with dementia. The IDEAL-2 study’ was funded by the Alzheimer’s Society, grant number 348, AS-PR2-16-001
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