scholarly journals Novel Approach for EKG Signals Analysis Based on Markovian and Non-Markovian Fractalization Type in Scale Relativity Theory

Symmetry ◽  
2021 ◽  
Vol 13 (3) ◽  
pp. 456
Author(s):  
Maricel Agop ◽  
Stefan Irimiciuc ◽  
Dan Dimitriu ◽  
Cristina Marcela Rusu ◽  
Andrei Zala ◽  
...  
Keyword(s):  
Heart Diseases ◽  
Signal Reconstruction ◽  
Relativity Theory ◽  
Harmonic Mappings ◽  
Disease Evolution ◽  
Electrocardiogram Signals ◽  
Novel Approach ◽  
Dynamic Methods ◽  
Scale Relativity ◽  
Second Procedure

Two distinct operational procedures are proposed for diagnosis and tracking of heart disease evolution (in particular atrial fibrillations). The first procedure, based on the application of non-linear dynamic methods (strange attractors, skewness, kurtosis, histograms, Lyapunov exponent, etc.) analyzes the electrical activity of the heart (electrocardiogram signals). The second procedure, based on multifractalization through Markovian and non-Markovian-type stochasticizations in the framework of the scale relativity theory, reconstructs any type of EKG signal by means of harmonic mappings from the usual space to the hyperbolic one. These mappings mime various scale transitions by differential geometries, in Riemann spaces with symmetries of SL(2R)-type. Then, the two operational procedures are not mutually exclusive, but rather become complementary, through their finality, which is gaining valuable information concerning fibrillation crises. As such, the author’s proposed method could be used for developing new models for medical diagnosis and evolution tracking of heart diseases (patterns dynamics, signal reconstruction, etc.).

scholarly journals Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1024
Author(s):  
Stefan Andrei Irimiciuc ◽  
Andrei Zala ◽  
Dan Dimitriu ◽  
Loredana Maria Himiniuc ◽  
Maricel Agop ◽  
...  
Keyword(s):  
Brain Activity ◽  
Relativity Theory ◽  
Harmonic Mappings ◽  
Eeg Signal ◽  
Neuronal Dynamics ◽  
Novel Approach ◽  
Dynamic Methods ◽  
Time Variations ◽  
Scale Relativity ◽  
The Brain

Two different operational procedures are proposed for evaluating and predicting the onset of epileptic and eclamptic seizures. The first procedure analyzes the electrical activity of the brain (EEG signals) using nonlinear dynamic methods (the time variations of the standard deviation, the variance, the skewness and the kurtosis; the evolution in time of the spatial–temporal entropy; the variations of the Lyapunov coefficients, etc.). The second operational procedure reconstructs any type of EEG signal through harmonic mappings from the usual space to the hyperbolic one using the time homographic invariance of a multifractal-type Schrödinger equation in the framework of the scale relativity theory (i.e., in a multifractal paradigm of motions). More precisely, the explicit differential descriptions of the brain activity in the form of 2 × 2 matrices with real elements disclose, through the in-phase coherences at various scale resolutions (i.e., as scale transitions), the multitude of brain neuronal dynamics, especially sequences of epileptic and eclamptic seizures. These two operational procedures are not mutually exclusive, but rather become complementary, offering valuable information concerning epileptic and eclamptic seizures. In such context, the prediction of epileptic and eclamptic seizures becomes fundamental for patients not responding to medical treatment and also presenting an increased rate of seizure recurrence.

scholarly journals Multifractality through Non-Markovian Stochastic Processes in the Scale Relativity Theory. Acute Arterial Occlusions as Scale Transitions

Entropy ◽  
2021 ◽  
Vol 23 (4) ◽  
pp. 444
Author(s):  
Nicolae Dan Tesloianu ◽  
Lucian Dobreci ◽  
Vlad Ghizdovat ◽  
Andrei Zala ◽  
Adrian Valentin Cotirlet ◽  
...  
Keyword(s):  
Stochastic Processes ◽  
Standard Form ◽  
Momentum Conservation ◽  
Relativity Theory ◽  
Horizontal Pipe ◽  
Scale Transition ◽  
Theory Of Motion ◽  
Multifractal Theory ◽  
Scale Relativity ◽  
Specific Momentum

By assimilating biological systems, both structural and functional, into multifractal objects, their behavior can be described in the framework of the scale relativity theory, in any of its forms (standard form in Nottale’s sense and/or the form of the multifractal theory of motion). By operating in the context of the multifractal theory of motion, based on multifractalization through non-Markovian stochastic processes, the main results of Nottale’s theory can be generalized (specific momentum conservation laws, both at differentiable and non-differentiable resolution scales, specific momentum conservation law associated with the differentiable–non-differentiable scale transition, etc.). In such a context, all results are explicated through analyzing biological processes, such as acute arterial occlusions as scale transitions. Thus, we show through a biophysical multifractal model that the blocking of the lumen of a healthy artery can happen as a result of the “stopping effect” associated with the differentiable-non-differentiable scale transition. We consider that blood entities move on continuous but non-differentiable (multifractal) curves. We determine the biophysical parameters that characterize the blood flow as a Bingham-type rheological fluid through a normal arterial structure assimilated with a horizontal “pipe” with circular symmetry. Our model has been validated based on experimental clinical data.

Novel approach for Recanalization and Limb Saving Following Acute Thrombosis of Upper Limb Arteries in Two Neonates After Congenital Heart Surgery

2020 ◽  
Author(s):  
Jameel Al- Ata ◽  
Gaser Abdelmohsen ◽  
Saud Bahaidarah ◽  
Naif Alkhushi ◽  
Zaher Zaher
Keyword(s):  
Congenital Heart Disease ◽  
Cardiac Output ◽  
Congenital Heart ◽  
Heart Surgery ◽  
Heart Diseases ◽  
Congenital Heart Surgery ◽  
Low Cardiac Output ◽  
Vascular Thrombosis ◽  
Acute Thrombosis ◽  
Novel Approach

IntroductionNeonates with congenital heart disease are at a high risk of vascular thrombosis. Thrombosis may occur due to vascular injury, increased blood viscosity secondary to polycythemia associated with congenital cyanotic heart diseases, or stasis of blood flow associated with low cardiac output (Schmidt B & Andrew M., Pediatrics 1995; 96: 939–943. Veldman A et al.,Vasc Health Risk Manag 2008; 4: 1337–1348).

scholarly journals Sparse Signal Recovery from Modulo Observations

2020 ◽  
Author(s):  
Viraj Shah ◽  
Chinmay Hegde
Keyword(s):  
Phase Retrieval ◽  
Dynamic Range ◽  
Signal Reconstruction ◽  
Real Data ◽  
Superior Performance ◽  
Signal Recovery ◽  
Reconstruction Methods ◽  
Novel Approach ◽  
Sparsity Constraints ◽  
Improved Performance

Abstract We consider the problem of reconstructing a signal from under-determined modulo observations (or measurements). This observation model is inspired by a (relatively) less well-known imaging mechanism called modulo imaging, which can be used to extend the dynamic range of imaging systems; variations of this model have also been studied under the category of phase unwrapping. Signal reconstruction in the under-determined regime with modulo observations is a challenging ill-posed problem, and existing reconstruction methods cannot be used directly. In this paper, we propose a novel approach to solving the inverse problem limited to two modulo periods, inspired by recent advances in algorithms for phase retrieval under sparsity constraints. We show that given a sufficient number of measurements, our algorithm perfectly recovers the underlying signal and provides improved performance over other existing algorithms. We also provide experiments validating our approach on both synthetic and real data to depict its superior performance.

Malignant Invasion Model with Small Amount of Diffusion in the Framework of Scale Relativity Theory

2015 ◽  
Vol 3 (4) ◽  
pp. 399-417
Author(s):  
Irina Grădinaru ◽  
Călin Gheorghe Buzea ◽  
Lucian Eva ◽  
Maricel Agop ◽  
Lăcrămioara Ochiuz ◽  
...  
Keyword(s):  
Relativity Theory ◽  
Invasion Model ◽  
Scale Relativity

Effects of Nanoparticle Clustering on the Heat Transport in Nanofluids Through Fractal Theories

2008 ◽  
Vol 59 (2) ◽  
pp. 195-198
Author(s):  
Manuela Girtu ◽  
Agop Maricel ◽  
Constantin Bejinariu ◽  
Anca Harabagiu ◽  
Camelia Popa
Keyword(s):  
Heat Transfer ◽  
Coherent Structures ◽  
Thermal Gradient ◽  
Relativity Theory ◽  
Growth Speed ◽  
Topological Dimension ◽  
One Dimensional ◽  
Oscillation Modes ◽  
Scale Relativity ◽  
The One

Considering that the motion of microphysical object takes place on continuous but non-differentiable curves, i.e. on fractals, effects of nanoparticle clustering on the heat transfer in nanofluids using the scale relativity theory in the topological dimension are analyzed. In the one-dimensional differentiable case, the clustering morphogenesis process is achieved by cnoidal oscillation modes of the speed field and a relation between the radius and growth speed of the cluster is obtained. In the non-differentiable case, the fractal kink spontaneously breaks the vacuum symmetry by tunneling and generates coherent structures. Since all the properties of the speed field are transferred to the thermal one and the fractal potential (fractal soliton) acts as an energy accumulator, for a certain condition of an external load (e.g. for a certain value of thermal gradient) the fractal soliton breaks down (blows up) and releases energy. As result, the thermal conductibility in nanofluids unexpectedly increases.

Abstract 411: Discovery and Cardioprotective Effects of the First Non-peptide Agonists of Prokineticin Receptor-1

2015 ◽  
Vol 117 (suppl_1) ◽  
Author(s):  
Canan G Nebigil ◽  
Adeline Gasser ◽  
Simone Brogi ◽  
Andrea Tafi ◽  
Hitoshi Kurose ◽  
...  
Keyword(s):  
Calcium Release ◽  
Heart Diseases ◽  
Homology Model ◽  
Loss Of Function ◽  
Myocardial Repair ◽  
Novel Approach ◽  
Docking Protocol ◽  
In Silico Studies ◽  
Vessel Growth ◽  
Agonistic Activity

Prokineticins are angiogenic hormones that activate two G protein-coupled receptors: PKR1 and PKR2. PKR1 has emerged as a critical mediator of cardiovascular homeostasis and cardioprotection. Identification of non-peptide PKR1 agonists that contribute to myocardial repair and collateral vessel growth hold promises for treatment of heart diseases. Through a combination of in silico studies, medicinal chemistry, and pharmacological profiling approaches, we designed, synthesized, and characterized the first PKR1 agonists, demonstrating their cardioprotective activity against myocardial infarction (MI) in mice. Based on high throughput docking protocol, 250,000 compounds were computationally screened for putative PKR1 agonistic activity, using a homology model, and 10 virtual hits were pharmacologically evaluated. One hit internalizes PKR1, increases calcium release and activates ERK and Akt kinases. Among the 30 derivatives of the hit compound, the most potent derivative, IS20, was confirmed for its selectivity and specificity through genetic gain- and loss-of-function of PKR1. Importantly, IS20 prevented cardiac lesion formation and improved cardiac function after MI in mice, promoting proliferation of cardiac progenitor cells and neovasculogenesis. The preclinical investigation of the first PKR1 agonists provides a novel approach to promote cardiac neovasculogenesis after MI.

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