Spontaneous activation under atrial fibrosis: A model using complex order derivatives

On the Behaviour of a Human Serum Proactivator Reacting with Streptokinase during Artificial Activation of the Fibrinolytic System

Thrombosis and Haemostasis ◽

10.1055/s-0038-1654581 ◽

1961 ◽

Vol 06 (03) ◽

pp. 498-503 ◽

Cited By ~ 1

Author(s):

W Doleschel ◽

W Auerswald

Keyword(s):

Human Serum ◽

Fibrinolytic System ◽

Spontaneous Activation ◽

Significant Change ◽

Artificial Activation ◽

Activator System

SummaryDuring “spontaneous” activation of a human euglobulin preparation in suitably spaced samples — while plasminogen became progressively converted into piasmin — the proactivator content was tested by addition of equal amounts of streptokinase and evaluation of the lytic activities on heated and normal bovine fibrin plates. Indepedently of the decreasing content of plasminogen the proactivator which could be activated by streptokinase showed no significant change of concentration. These observation indicate that plasminogen is not acting as proactivator and that there exists a separate proactivator-activator system of the fibrinolytic mechanism in human serum.

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Existence and stability of fractional implicit differential equations with complex order

Results in Fixed Point Theory and Applications ◽

10.30697/rfpta-2018-27 ◽

2018 ◽

Vol 2018 (-) ◽

Author(s):

D. Vivek ◽

K. Kanagarajan ◽

E. M. Elsayed

Keyword(s):

Differential Equations ◽

Implicit Differential Equations ◽

Complex Order ◽

Existence And Stability

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The Role of Atrial Fibrosis Detected by Delayed - Enhancement MRI in Atrial Fibrillation Ablation

Current Medical Imaging Formerly Current Medical Imaging Reviews ◽

10.2174/1573405614666180806130327 ◽

2020 ◽

Vol 16 (2) ◽

pp. 135-144 ◽

Cited By ~ 1

Author(s):

Zsuzsanna Kis ◽

Astrid Amanda Hendriks ◽

Taulant Muka ◽

Wichor M. Bramer ◽

Istvan Kovacs ◽

...

Keyword(s):

Atrial Fibrillation ◽

Imaging Modality ◽

Final Analysis ◽

Atrial Fibrosis ◽

Atrial Wall ◽

Af Ablation ◽

Left Atrial Wall ◽

Cmr Imaging

Introduction: Atrial Fibrillation (AF) is associated with remodeling of the atrial tissue, which leads to fibrosis that can contribute to the initiation and maintenance of AF. Delayed- Enhanced Cardiac Magnetic Resonance (DE-CMR) imaging for atrial wall fibrosis detection was used in several studies to guide AF ablation. The aim of present study was to systematically review the literature on the role of atrial fibrosis detected by DE-CMR imaging on AF ablation outcome. Methods: Eight bibliographic electronic databases were searched to identify all published relevant studies until 21st of March, 2016. Search of the scientific literature was performed for studies describing DE-CMR imaging on atrial fibrosis in AF patients underwent Pulmonary Vein Isolation (PVI). Results: Of the 763 citations reviewed for eligibility, 5 articles (enrolling a total of 1040 patients) were included into the final analysis. The overall recurrence of AF ranged from 24.4 - 40.9% with median follow-up of 324 to 540 days after PVI. With less than 5-10% fibrosis in the atrial wall there was a maximum of 10% recurrence of AF after ablation. With more than 35% fibrosis in the atrial wall there was 86% recurrence of AF after ablation. Conclusion: Our analysis suggests that more extensive left atrial wall fibrosis prior ablation predicts the higher arrhythmia recurrence rate after PVI. The DE-CMR imaging modality seems to be a useful method for identifying the ideal candidate for catheter ablation. Our findings encourage wider usage of DE-CMR in distinct AF patients in a pre-ablation setting.

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Spontaneous activation of phenylalanine hydroxylase in rat liver extracts.

Journal of Biological Chemistry ◽

10.1016/s0021-9258(19)81076-1 ◽

1982 ◽

Vol 257 (6) ◽

pp. 3084-3089

Author(s):

H Hasegawa ◽

S Kaufman

Keyword(s):

Rat Liver ◽

Phenylalanine Hydroxylase ◽

Spontaneous Activation

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Eisenstein series and an asymptotic for the K-Bessel function

The Ramanujan Journal ◽

10.1007/s11139-020-00358-8 ◽

2021 ◽

Author(s):

Jimmy Tseng

Keyword(s):

Asymptotic Expansion ◽

Bessel Function ◽

Eisenstein Series ◽

Uniform Estimate ◽

Positive Real ◽

Dominant Term ◽

Complex Order ◽

Fixed Parameter ◽

Real Argument ◽

Real Analytic

AbstractWe produce an estimate for the K-Bessel function $$K_{r + i t}(y)$$ K r + i t ( y ) with positive, real argument y and of large complex order $$r+it$$ r + i t where r is bounded and $$t = y \sin \theta $$ t = y sin θ for a fixed parameter $$0\le \theta \le \pi /2$$ 0 ≤ θ ≤ π / 2 or $$t= y \cosh \mu $$ t = y cosh μ for a fixed parameter $$\mu >0$$ μ > 0 . In particular, we compute the dominant term of the asymptotic expansion of $$K_{r + i t}(y)$$ K r + i t ( y ) as $$y \rightarrow \infty $$ y → ∞ . When t and y are close (or equal), we also give a uniform estimate. As an application of these estimates, we give bounds on the weight-zero (real-analytic) Eisenstein series $$E_0^{(j)}(z, r+it)$$ E 0 ( j ) ( z , r + i t ) for each inequivalent cusp $$\kappa _j$$ κ j when $$1/2 \le r \le 3/2$$ 1 / 2 ≤ r ≤ 3 / 2 .

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