scholarly journals Special Issue “Numerical and Analytical Methods in Electromagnetics”

2020 ◽  
Vol 10 (20) ◽  
pp. 7242
Author(s):  
Hristos T. Anastassiu
Keyword(s):  
Analytical Methods ◽  
Special Issue ◽  
Mathematical Methods ◽  
Design Procedures ◽  
Modeling Simulation ◽  
Radiation Propagation ◽  
Numerical And Analytical Methods

Like all branches of physics and engineering, electromagnetics relies on mathematical methods for modeling, simulation, and design procedures in all of its aspects (radiation, propagation, scattering, imaging, etc [...]

scholarly journals Comment from the Editors on the Special Issue: Advanced Analytical Methods in Clinical Diagnosis and Therapy

2019 ◽  
Vol 8 (11) ◽  
pp. 1936
Author(s):  
Monica Florescu ◽  
Liliana Rogozea
Keyword(s):  
Clinical Diagnosis ◽  
Analytical Methods ◽  
Practical Interest ◽  
Special Issue ◽  
Diagnosis And Therapy

With this Editorial, we want to present the Special Issue, “Advanced Analytical Methods in Clinical Diagnosis and Therapy”. The development of medicine is not possible without progress in the field of identifying different biomarkers or treatments using modern approaches, such as the analytical methods presented in articles that are part of this issue. Thus, with the support of experts, both aspects of theoretical and practical interest from different fields of pathologies have been addressed.

scholarly journals Holographic Lifshitz superconductors with Weyl correction

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Jun-Wang Lu ◽  
Ya-Bo Wu ◽  
Bao-Ping Dong ◽  
Yu Zhang
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Critical Temperature ◽  
Numerical Method ◽  
Analytical Methods ◽  
Competitive Effects ◽  
Lifshitz Black Hole ◽  
The Difference ◽  
Lower Temperature ◽  
Numerical And Analytical Methods

AbstractAt the probe approximation, we construct a holographic p-wave conductor/superconductor model in the five-dimensional Lifshitz black hole with the Weyl correction via both numerical and analytical methods, and study the effects of the Lifshitz parameter z as well as the Weyl parameter $$\gamma $$ γ on the superconductor model. As we take into account one of the two corrections separately, the increasing z ($$\gamma $$ γ ) inhibits(enhances) the superconductor phase transition. When the two corrections are considered comprehensively, they display the obviously competitive effects on both the critical temperature and the vector condensate. In particular, the promoting effects of the Weyl parameter $$\gamma $$ γ on the critical temperature are obviously suppressed by the increasing Lifshitz parameter. Meanwhile, in the case of $$z<2.35$$ z < 2.35 ($$z>2.35$$ z > 2.35 ), the condensate at lower temperature decreases(increases) with the increasing Weyl parameter $$\gamma $$ γ . What is more, the difference among the condensate with the fixed Weyl parameter($$\gamma =-\frac{6}{100},0,\frac{4}{100}$$ γ = - 6 100 , 0 , 4 100 ) decreases(increases) with the increasing Lifshitz parameter z in the region $$z<2.35$$ z < 2.35 ($$z>2.35$$ z > 2.35 ). Furthermore, the increasing z obviously suppresses the real part of conductivity for all value of the Weyl parameter $$\gamma $$ γ . In addition, the analytical results agree well with the ones from the numerical method.

NEURONAL MULTIFUNCTIONAL ATPase

2013 ◽  
Vol 08 (03n04) ◽  
pp. 213-227 ◽  
Author(s):  
SERGEY A. MENZIKOV
Keyword(s):  
Transport Process ◽  
Gaba Receptor ◽  
Single Molecules ◽  
Hydrolytic Activity ◽  
Neuronal Membrane ◽  
Special Issue ◽  
Mathematical Methods ◽  
Chloride Pump ◽  
Extracellular Ions ◽  
Experimental Findings

Here, we review the properties of a suggested mechanism for a neural ATPase complex based on our recent experimental findings. The mechanism represents a multifunctional ATPase: an enzyme that is a chloride pump and a GABA receptor. This enables new views on the ways Cl - channel transports anions and its regulation by the intra- and extracellular ions and molecules (in particular by glucose, ATP, [Formula: see text]). The hydrolytic activity of this GABA A-coupled ATPase provides the [Formula: see text] transport process the energy and determines a certain direction of ions flux across neuronal membrane. This can help with the research regarding several diseases such as epilepsy. [Formula: see text]Special Issue Comment: This project is about a multifunctional ATPase complex. Experiments involving measuring & solving individual ATPases are related with the Special Issue about FRET experiments,1 about enzymes,2 and about treatments when solving single molecules.3,4 The model suggested here is simply tested with these experimental and mathematical methods.

scholarly journals Gaussian beam diffraction in inhomogeneous and logarithmically saturable nonlinear media

Open Physics ◽  
2012 ◽  
Vol 10 (4) ◽  
Author(s):  
Pawel Berczynski
Keyword(s):  
Gaussian Beam ◽  
Wave Front ◽  
Analytical Methods ◽  
Cylindrical Symmetry ◽  
Nonlinear Media ◽  
First Order ◽  
Self Focusing ◽  
Complex Curvature ◽  
Numerical And Analytical Methods ◽  
Beam Diffraction

AbstractThe method of paraxial complex geometrical optics (PCGO) is presented, which describes Gaussian beam (GB) diffraction and self-focusing in smoothly inhomogeneous and nonlinear saturable media of cylindrical symmetry. PCGO reduces the problem of Gaussian beam diffraction in nonlinear and inhomogeneous media to the system of the first order ordinary differential equations for the complex curvature of the wave front and for GB amplitude, which can be readily solved both analytically and numerically. As a result, PCGO radically simplifies the description of Gaussian beam diffraction in inhomogeneous and nonlinear media as compared to the numerical and analytical methods of nonlinear optics. The power of PCGO method is presented on the example of Gaussian beam evolution in logarithmically saturable medium with either focusing and defocusing refractive profile. Besides, the influence of initial curvature of the wave front on GB evolution in nonlinear saturable medium is discussed in this paper.

scholarly journals Temporal inactivation enhances robustness in an evolving system

2019 ◽  
Vol 6 (2) ◽  
pp. 181471
Author(s):  
Fumiko Ogushi ◽  
János Kertész ◽  
Kimmo Kaski ◽  
Takashi Shimada
Keyword(s):  
Phase Diagram ◽  
Dynamic Model ◽  
Analytical Methods ◽  
The Other ◽  
Entire System ◽  
Dormant State ◽  
Random Interactions ◽  
Active Elements ◽  
Evolving System ◽  
Numerical And Analytical Methods

We study the robustness of an evolving system that is driven by successive inclusions of new elements or constituents with m random interactions to older ones. Each constitutive element in the model stays either active or is temporarily inactivated depending upon the influence of the other active elements. If the time spent by an element in the inactivated state reaches T W , it gets extinct. The phase diagram of this dynamic model as a function of m and T W is investigated by numerical and analytical methods and as a result both growing (robust) as well as non-growing (volatile) phases are identified. It is also found that larger time limit T W enhances the system’s robustness against the inclusion of new elements, mainly due to the system’s increased ability to reject ‘falling-together’ type attacks. Our results suggest that the ability of an element to survive in an unfavourable situation for a while, either as a minority or in a dormant state, could improve the robustness of the entire system.

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