Visualization of the heart with help of cardiographic equipment

This study presents the problems associated with cardiovascular diseases (CVD) and Twocomponent FitzHugh - Nagumo model and heart condition imaging algorithm are considered. Aspects of work aimed at designing and developing of the hardware and software complex based on the information obtained with the help of an electrocardiograph

Excitation model of cardiac p cells of the cardiac conduction system

The article considers elaboration of the mathematical model of cardiac electrical activity which will allow investigating excitation propagation processes at all sites of the cardiac conduction system. The proposed model is generated on the basis of parametric elements of an electric circuit with distributed parameters and approximation of time dependencies of conduction in ion channels by cubic splines

An analytic model of rotationally inelastic collisions of polar molecules in electric fields

We present an analytic model of thermal state-to-state rotationally inelastic collisions of polar molecules in electric fields. The model is based on the Fraunhofer scattering of matter waves and requires Legendre moments characterizing the "shape" of the target in the body-fixed frame as its input. The electric field orients the target in the space-fixed frame and thereby effects a striking alteration of the dynamical observables: both the phase and amplitude of the oscillations in the partial differential cross sections undergo characteristic field-dependent changes that transgress into the partial integral cross sections. As the cross sections can be evaluated for a field applied parallel or perpendicular to the relative velocity, the model also offers predictions about steric asymmetry. We exemplify the field-dependent quantum collision dynamics with the behavior of the Ne-OCS($^{1}\Sigma$) and Ar-NO($^2\Pi$) systems. A comparison with the close-coupling calculations available for the latter system [Chem. Phys. Lett. \textbf{313}, 491 (1999)] demonstrates the model's ability to qualitatively explain the field dependence of all the scattering features observed

Wavepacket Motion Via A Conical Intersection In The Photochemistry Of Aqueous Transition-metal Dianions

The photochemical reaction paths in aqueous PtBr(6)(2-) and OsBr(6)(2-) have been studied by femtosecond broad-band pump probe spectroscopy supported by CASPT2 and DFT/TDDFT calculations. These paths lead to the separation of negative charges and propagate through distortions of nascent, penta-coordinated metal fragments caused by Jahn-Teller C(4v) and D(3h) conical intersections (CIs), respectively. Within 150 fs following 420 nm excitation of PtBr(6)(2-), the molecule undergoes internal conversion and intersystem crossing into the dissociative lowest triplet excited (3)T(1g) state, loses a ligand, and relaxes via the C(4v) CI to the nearly trigonal bipyramid (3)PtBr(5)(-) product in the triplet state. Direct 530 nm excitation of PtBr(6)(2-) to (3)T(1g) yields. the same product. Oscillations observed in the bending and umbrella a(1) modes of (3)PtBr(5)(-) arise from impulsive excitation of, respectively, one of the reaction coordinate modes, which is parallel to the gradient difference vector of the C(4v) CI, and the spectator mode that preserves the electronic degeneracy

Sensitive imaging of electromagnetic fields with paramagnetic polar molecules

We propose a method for sensitive parallel detection of low-frequency electromagnetic fields based on the fine structure interactions in paramagnetic polar molecules. Compared to the recently implemented scheme employing ultracold $^{87}$Rb atoms [B{\"o}hi \textit{et al.}, Appl. Phys. Lett. \textbf{97}, 051101 (2010)], the technique based on molecules offers a 100-fold higher sensitivity, the possibility to measure both the electric and magnetic field components, and a probe of a wide range of frequencies from the dc limit to the THz regime

Lotka--Volterra Type Equations and their Explicit Integration

In the present note we give an explicit integration of some two--dimensionalised Lotka--Volterra type equations associated with simple Lie algebras, other than the familiar $A_n$ case, possessing a representation without branching. This allows us, in particular, to treat the first fundamental representations of $A_r$, $B_r$, $C_r$, and $G_2$ on the same footing.Comment: 3 pages LATEX fil

Temporal model for assessing the quality of public services

The material about the use of business processes to determine the quality of receiving services in a public institution is presents in article. It is proposed to take into account when obtaining a quality not only qualitative assessments, which are connected with the expert assessment and customer opinion and quantitative related to the timing of execution of business processes by employees. Shown mathematical expressions that allow build an automated quality evaluation system

Probing La(0.7)Sr(0.3)MnO3 multilayers via spin wave resonances

La(0.7)Sr(0.3)MnO3/BiFeO3 and La(0.7)Sr(0.3)MnO3/PbZr20Ti80O3 epitaxial heterostructures have been grown on SrTiO3 substrates. Spin wave resonances are used to study interface properties of the ferromagnetic La(0.7)Sr(0.3)MnO3. We find that the addition of the BiFeO3 or PbZr20Ti80O3 causes out-of-plane surface pinning of the La(0.7)Sr(0.3)MnO3. We are able to place new limits on the exchange constant D of La(0.7)Sr(0.3)MnO3 grown on these substrates and confirm the presence of uniaxial and biaxial anisotropies caused by the SrTiO3 substrate.Comment: 7 pages, 5 figures, 3 table

Temporal model for assessing the quality of public services

The material about the use of business processes to determine the quality of receiving services in a public institution is presents in article. It is proposed to take into account when obtaining a quality not only qualitative assessments, which are connected with the expert assessment and customer opinion and quantitative related to the timing of execution of business processes by employees. Shown mathematical expressions that allow build an automated quality evaluation system