# Vladimir S ZverevUral Federal University | UrFU · Department of Mathematical Physics

Vladimir S Zverev

PhD

## About

29

Publications

1,996

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201

Citations

Citations since 2016

Introduction

Vladimir S Zverev currently works at the Laborotory of mathetmatical modeling in phyology and medicine, Ural Federal University. Vladimir does research in Computing in Mathematics, Natural Science, Electromagnetism and Applied Mathematics. Their current project is 'Dynamic magnetic properties of magnetic fluids: the influence of interparticle correlations.'

Additional affiliations

September 2008 - present

## Publications

Publications (29)

The response of ferrofluids to a high-amplitude AC magnetic field is important for several applications including magnetic hyperthermia and biodetection. In computer simulations of the dynamic susceptibility of a ferrofluid outside the linear response region, there are several problems associated with the fact that an increase in the frequency of t...

Based on numerical results of dynamic susceptibility, a simple theory of the dynamic response of a ferrofluid to an ac magnetic field is obtained that includes both the effects of interparticle dipole-dipole interactions and the dependence on field amplitude. Interparticle interactions are incorporated in the theory using the so-called modified mea...

The size-dependent properties of magnetic nanoparticles (MNP) are the major characteristics, determining MNP application in modern technologies and bio-medical techniques. Direct measurements of the nanosized particles, involved in intensive Brownian motion, are very complicated; so the correct mathematical methods for the experimental data process...

In this work, we applied regularized inversion method [New J. Phys. 19, 073012 (2017)] for microstructure analysis of 10 ferrofluid samples with different ferroparticle concentrations, which were obtained by diluting of the first one. The experimental measurements of the magnetization M(H) of all samples were subjected to numerical inversion using...

The dynamic magnetic response of immobilized superparamagnetic nanoparticles to an ac field with arbitrary amplitude is studied using numerical simulations. The nanoparticles are considered to be distributed randomly within an implicit solid matrix, but the easy axes of the particles are aligned parallel to the ac magnetic field. Modeling of dynami...

Using Molecular Dynamics computer simulations, we study how an applied magnetic field influences the shape, integrity and internal structure of clusters formed by Stockmayer supracolloidal magnetic polymers (SMPs). We consider SMPs of four different topologies: chain-, Y-, X- and ring-like ones. We find that the highest macroscopic deformation and...

FORCs (first-order reversal curves) diagrams prove to be an efficient experimental technique to investigate magnetic interactions in complex systems. In experiments, as a rule, it is difficult to relate actual microstructural changes to the evolution of FORCs diagrams. Here, using Molecular Dynamics simulations, we calculate FORCs for two simple mo...

Supracolloidal magnetic polymers (SMPs) are structures made by crosslinking magnetic particles. In this work, using Langevin dynamics simulations, we study the zero-field magnetic properties of clusters formed in suspensions of SMPs with different topologies -- chains, rings, X and Y -- that interact via Stockmayer potential. We find that the prese...

A theory of the dynamic magnetic response of an ensemble of immobilized ferroparticles on a weak, linearly polarized ac magnetic field is developed. All particles have uniaxial magnetic anisotropy and the particle easy magnetization axes are aligned in one direction. External ac field is oriented with some given angle to the easy axes. The interpar...

Supracolloidal magnetic polymers (SMPs) are structures made by crosslinking magnetic particles. In this work, using Langevin dynamics simulations, we study the zero-field magnetic properties of clusters formed in suspensions of SMPs with different topologies – chains, rings, X and Y – that interact via Stockmayer potential. We find that the presenc...

A theory for the frequency-dependent magnetic susceptibility of a ferrofluid in a static uniform magnetic field is developed, including the dipolar interactions between the constituent particles. Interactions are included within the framework of modified mean-field theory. Predictions are given for the linear responses of the magnetization to a pro...

In this contribution, we discuss the experimental results obtained for seven ferrofluid samples with the same particle size distribution that differ only in concentration of magnetic material. The dynamic response to a weak linearly-polarised probing AC field is measured for each sample at five different temperatures. We investigate Cole-Cole diagr...

In the heart, scroll waves are three-dimensional self-sustaining spiral waves of electrical excitation. They arise only in pathology and underlie dangerous arrhythmias. Computer simulation of human cardiac arrhythmias is time-consuming and requires parallel computing. In addition, heart simulation is a complicated multilevel task (cell, tissue, org...

In this paper we present an approach to the parallel simulation of the heart electrical activity using the finite element method with the help of the FEniCS automated scientific computing framework. FEniCS allows scientific software development using the near-mathematical notation and provides automatic parallelization on MPI clusters. We implement...

Using computer simulations and a mean-field theoretical approach, we study how the growth in dipolar interparticle correlations manifests itself in the frequency-dependent initial magnetic susceptibility of a ferrofluid. Our recently developed theory gives the correct single-particle Debye-theory results in the low-concentration, non-interacting re...

The dynamic magnetic response of ferrofluid in a static uniform external magnetic field to a weak, linear polarized, alternating magnetic field is investigated theoretically. The ferrofluid is modeled as a system of dipolar hard spheres, suspended in a long cylindrical tube whose long axis is parallel to the direction of the static and alternating...

The interweave of competing individual relaxations influenced by the presence of temperature and concentration dependent correlations is an intrinsic feature of superparamagnetic nanoparticle suspensions. This unique combination gives rise to multiple applications of such suspensions in medicine, nanotechnology and microfluidics. Here, using theory...

We investigate, via modified mean field approach, the dynamic magnetic response of a polydis- perse dipolar suspension to a weak, linear polarised, AC field. We introduce an additional term into the Fokker-Planck equation, which takes into account dipole-dipole interaction in the form of the first order perturbation, and allows for particle polydis...

We suggest a modified mean-field Fokker-Planck-Brown equation to describe the dynamic magnetic susceptibility of ferrofluids exposed to an AC magnetic field. The approach incorporates both the interparticle magnetic dipole-dipole interaction and the ferroparticle polydispersity. The model is investigated analytically and numerically for the case of...

We present the LeVen computational system for simulation of the electro-mechanical function of the left ventricle (LV) of mammalian heart on parallel computers. A macroscopic LV model incorporates state-of-the-art cellular models, Ekaterinburg--Oxford (EO) model or ten Tusscher--Noble--Noble--Panfilov (TNNP). Ventricular mechanical activity on the...

High Performance Computing (HPC) is an interdisciplinary field of study, which requires learning a number of topics, including not only parallel programming, but also numerical methods and domain science. Stand-alone parallel computing courses are insufficient for thorough HPC education. We present an interdisciplinary track of coherent courses dev...

The article discusses a mathematical model of solid-phase diffusion over substance surface accompanied a frontal chemical reaction. The purpose of our article is to describe the concentration distribution and surface reacted layer growth. The model is a system parabolic equations, complicated with the presence of mobile front. It takes account of d...

The article discusses a mathematical model of solid-phase diffusion over substance surface accompanied a frontal chemical reaction. The purpose of our article is to describe the concentration distribution and surface reacted layer growth. The model is a system parabolic equations, complicated with the presence of mobile front. It takes account of d...

## Projects

Projects (2)

The project is aimed at creating algorithms for modern high-tech implantable low-voltage pacemakers (cardioverters). The basis of their effectiveness is the phenomenon of induced drift of spiral waves, which arise during arrhythmias, with the help of a series of weak electric impulses. Such electrotherapy saves the lives of patients during ventricular tachycardia and is much more gentle and easily tolerated than traditional shock defibrillation-cardioversion.