4 research outputs found
Sharp Lower Bounds for the Dimension of the Global Attractor of the Sabra Shell Model of Turbulence
In this work we derive a lower bounds for the Hausdorff and fractal
dimensions of the global attractor of the Sabra shell model of turbulence in
different regimes of parameters. We show that for a particular choice of the
forcing and for sufficiently small viscosity term , the Sabra shell model
has a global attractor of large Hausdorff and fractal dimensions proportional
to for all values of the governing parameter
, except for . The obtained lower bounds are sharp,
matching the upper bounds for the dimension of the global attractor obtained in
our previous work. Moreover, we show different scenarios of the transition to
chaos for different parameters regime and for specific forcing. In the
``three-dimensional'' regime of parameters this scenario changes when the
parameter becomes sufficiently close to 0 or to 1. We also show that
in the ``two-dimensional'' regime of parameters for a certain non-zero forcing
term the long-time dynamics of the model becomes trivial for any value of the
viscosity
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Proenkephalin A 119-159 (Penkid) Is an Early Biomarker of Septic Acute Kidney Injury: The Kidney in Sepsis and Septic Shock (Kid-SSS) Study
Introduction: Sepsis is the leading cause of acute kidney injury (AKI) in critically ill patients. The Kidney in Sepsis and Septic Shock (Kid-SSS) study evaluated the value of proenkephalin A 119-159 (penkid)—a sensitive biomarker of glomerular function, drawn within 24 hours upon intensive care unit (ICU) admission and analyzed using a chemiluminescence immunoassay—for kidney events in sepsis and septic shock. Methods: The Kid-SSS study was a substudy of Adrenomedullin and Outcome in Severe Sepsis and Septic Shock (AdrenOSS) (NCT02393781), a prospective, observational, multinational study including 583 patients admitted to the intensive care unit with sepsis or septic shock and a validation cohort of 525 patients from the French and euRopean Outcome reGistry in Intensive Care Units (FROG-ICU) study. The primary endpoint was major adverse kidney events (MAKEs) at day 7, composite of death, renal replacement therapy, and persistent renal dysfunction. The secondary endpoints included AKI, transient AKI, worsening renal function (WRF), and 28-day mortality. Results: Median age was 66 years (interquartile range 55–75), and 28-day mortality was 22% (95% confidence interval [CI] 19%−25%). Of the patients, 293 (50.3%) were in shock upon ICU admission. Penkid was significantly elevated in patients with MAKEs, persistent AKI, and WRF (median = 65 [IQR = 45–106] vs. 179 [114–242]; 53 [39–70] vs. 133 [79–196] pmol/l; and 70 [47–121] vs. 174 [93–242] pmol/l, all P < 0.0001), also after adjustment for confounding factors (adjusted odds ratio = 3.3 [95% CI = 1.8–6.0], 3.9 [95% CI = 2.1–7.2], and 3.4 [95% CI = 1.9–6.2], all P < 0.0001). Penkid increase preceded elevation of serum creatinine with WRF and was low in renal recovery. Conclusion: Admission penkid concentration was associated with MAKEs, AKI, and WRF in a timely manner in septic patients