scholarly journals A Conley index study of the evolution of the Lorenz strange set

2020 ◽  
Vol 401 ◽  
pp. 132162
Author(s):  
Héctor Barge ◽  
José M.R. Sanjurjo
Keyword(s):  
Conley Index ◽  
Index Study

Consumption of flavonoid-rich fruits, flavonoids from fruits, and stroke risk: a prospective cohort study

2021 ◽  
pp. 1-26
Author(s):  
Qi Gao ◽  
Jia-Yi Dong ◽  
Renzhe Cui ◽  
Isao Muraki ◽  
Kazumasa Yamagishi ◽  
...  
Keyword(s):  
Lower Risk ◽  
Stroke Risk ◽  
Proportional Hazards ◽  
Cox Proportional Hazards ◽  
Dietary Factors ◽  
Citrus Fruits ◽  
Proportional Hazards Regression ◽  
Hazard Ratios ◽  
Index Study

Abstract We sought to examine the prospective associations of specific fruit consumption, in particular flavonoid-rich fruit (FRF) consumption, with the risk of stroke and subtypes of stroke in a Japanese population. A study followed a total of 39,843 men and 47,334 women aged 44-76 years, and free of cardiovascular disease, diabetes, and cancer at baseline since 1995 and 1998 to the end of 2009 and 2012, respectively. Data on total and specific FRF consumption for each participant were obtained using a self-administrated food frequency questionnaire. The hazard ratios (HRs) of stroke in relation to total and specific FRF consumption were estimated through Cox proportional hazards regression models. During a median follow-up of 13.1 years, 4092 incident stroke cases (2557 cerebral infarctions and 1516 hemorrhagic strokes) were documented. After adjustment for age, body mass index, study area, lifestyles, dietary factors, and other risk factors, it was found that total FRF consumption was associated with a significantly lower risk of stroke in women (HR= 0.70; 95% CI, 0.58-0.84), while the association in men was not significant (HR= 0.93; 95% CI, 0.79-1.09). As for specific FRFs, consumptions of citrus fruits, strawberries, and grapes were found associated with a lower stroke risk in women. Higher consumptions of FRFs, in particular citrus fruits, strawberries, and grapes, were associated with a lower risk of developing stroke in Japanese women.

scholarly journals On the discrete Conley index in the invariant subspace

1998 ◽  
Vol 87 (2) ◽  
pp. 105-115 ◽  
Author(s):  
Andrzej Szymczak ◽  
Klaudiusz Wójcik ◽  
Piotr Zgliczyński
Keyword(s):  
Invariant Subspace ◽  
Conley Index

scholarly journals Homotopy invariance of the Conley index and local Morse homology in Hilbert spaces

2017 ◽  
Vol 263 (11) ◽  
pp. 7162-7186 ◽  
Author(s):  
Marek Izydorek ◽  
Thomas O. Rot ◽  
Maciej Starostka ◽  
Marcin Styborski ◽  
Robert C.A.M. Vandervorst
Keyword(s):  
Hilbert Spaces ◽  
Conley Index ◽  
Homotopy Invariance ◽  
Morse Homology

Assessment of exposure to traffic pollution using the ExTra index: study of validation

2003 ◽  
Vol 93 (1) ◽  
pp. 67-78 ◽  
Author(s):  
Patrice Reungoat ◽  
Mireille Chiron ◽  
Stéphanie Gauvin ◽  
Yvon Le Moullec ◽  
Isabelle Momas
Keyword(s):  
Traffic Pollution ◽  
Index Study

Abstract 3789: Nessun Dorma : Have the Risks of Rosiglitazone been Exaggerated?

Circulation ◽  
2007 ◽  
Vol 116 (suppl_16) ◽  
Author(s):  
George A Diamond ◽  
Sanjay Kaul
Keyword(s):  
Confidence Intervals ◽  
Effect Size ◽  
Fixed Effects ◽  
Meta Analysis ◽  
Cardiovascular Death ◽  
Sensitivity Analyses ◽  
Odds Ratios ◽  
True Effect Size ◽  
Index Study ◽  
The Stability

Background A highly publicized meta-analysis of 42 clinical trials comprising 27,844 diabetics ignited a firestorm of controversy by charging that treatment with rosiglitazone was associated with a “…worrisome…” 43% greater risk of myocardial infarction ( p =0.03) and a 64% greater risk of cardiovascular death ( p =0.06). Objective The investigators excluded 4 trials from the infarction analysis and 19 trials from the mortality analysis in which no events were observed. We sought to determine if these exclusions biased the results. Methods We compared the index study to a Bayesian meta-analysis of the entire 42 trials (using odds ratio as the measure of effect size) and to fixed-effects and random-effects analyses with and without a continuity correction that adjusts for values of zero. Results The odds ratios and confidence intervals for the analyses are summarized in the Table . Odds ratios for infarction ranged from 1.43 to 1.22 and for death from 1.64 to 1.13. Corrected models resulted in substantially smaller odds ratios and narrower confidence intervals than did uncorrected models. Although corrected risks remain elevated, none are statistically significant (*p<0.05). Conclusions Given the fragility of the effect sizes and confidence intervals, the charge that roziglitazone increases the risk of adverse events is not supported by these additional analyses. The exaggerated values observed in the index study are likely the result of excluding the zero-event trials from analysis. Continuity adjustments mitigate this error and provide more consistent and reliable assessments of true effect size. Transparent sensitivity analyses should therefore be performed over a realistic range of the operative assumptions to verify the stability of such assessments especially when outcome events are rare. Given the relatively wide confidence intervals, additional data will be required to adjudicate these inconclusive results.

scholarly journals Conley index for discrete multi-valued dynamical systems

1995 ◽  
Vol 65 (1) ◽  
pp. 83-96 ◽  
Author(s):  
T. Kaczynski ◽  
M. Mrozek
Keyword(s):  
Dynamical Systems ◽  
Conley Index

LUSTERNIK–SCHNIRELMANN CATEGORY BASED ON THE DISCRETE CONLEY INDEX THEORY

2018 ◽  
Vol 61 (03) ◽  
pp. 693-704
Author(s):  
KATSUYA YOKOI
Keyword(s):  
Index Theory ◽  
Conley Index ◽  
Invariant Sets ◽  
Conley Index Theory ◽  
Lusternik Schnirelmann

AbstractWe study Lusternik–Schnirelmann type categories for isolated invariant sets by the use of the discrete Conley index.

scholarly journals On the shape Conley index theory of semiflows on complete metric spaces

2015 ◽  
Vol 36 (3) ◽  
pp. 1629-1647 ◽  
Author(s):  
Jintao Wang ◽  
Desheng Li ◽  
Jinqiao Duan
Keyword(s):  
Metric Spaces ◽  
Index Theory ◽  
Conley Index ◽  
Complete Metric Spaces ◽  
Conley Index Theory
Sign in / Sign up

Export Citation Format

Share Document