journal: Russian Journal of Numerical Analysis and Mathematical Modelling

Impact Factor: 0.6

Published since January 1, 1986

Russian Journal of Numerical Analysis and Mathematical Modelling

ISSN: 1569-3988

Editors-in-chief: Valentin P. Dymnikov, Yuri A. Kuznetsov

Managing Editor: Yuri V. Vassilevski

About this journal

Objective
The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest.

Topics

numerical analysis
numerical linear algebra
finite element methods for PDEs
iterative methods
Monte-Carlo methods
mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences

Article formats
Research articles

> Information on submission process

Your Benefits

Your benefits:

State-of-the-art original Russian papers in the field of numerical analysis and mathematical modelling translated in English
Imperative topics of high interest and relevance to the international research community
Leading Russian experts as members of the Editorial Board

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Supplementary Materials

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Publication Ethics and Malpractice Statement

Volume 38 Issue 5

October 2023

Publicly Available November 8, 2023

Frontmatter

Page range: i-iii

Download PDF

November 8, 2023

Multiphysics modelling of immune processes using distributed parameter systems

Gennady A. Bocharov, Dmitry S. Grebennikov, Rostislav S. Savinkov

Page range: 279-292

Abstract

The immune system is a complex distributed system consisting of cells, which circulate through the body, communicate and turnover in response to antigenic perturbations. We discuss new approaches to modelling the functioning of the immune system of humans and experimental animals with a focus on its ‘complexity’. Emerging mathematical and computer models are reviewed to describe the immune system diversity, the cell/cytokine network communication structures, hierarchical regulation, and evolutionary dynamics of immune repertoires.

November 8, 2023

Myocardial perfusion segmentation and partitioning methods in personalized models of coronary blood flow

Alexander A. Danilov, Timur M. Gamilov, Fuyou Liang, Alina A. Rebrova, Petr Sh. Chomakhidze, Philipp Yu. Kopylov, Yan R. Bravyy, Sergey S. Simakov

Page range: 293-302

Abstract

In this work we present methods and algorithms for construction of a personalized model of coronary haemodynamics based on computed tomography images. This model provides estimations of fractional flow reserve, coronary flow reserve, and instantaneous wave-free ratio taking into account transmural perfusion ratio indices obtained from perfusion images. The presented pipeline consists of the following steps: aorta segmentation, left ventricle wall segmentation, coronary arteries segmentation, construction of 1D network of vessels, partitioning of left ventricle wall, and personalization of the model parameters. We focus on a new technique, which generates specific perfusion zones and computes transmural perfusion ratio according to the quality of available medical images with a limited number of visible terminal coronary vessels. Numerical experiments show that accurate evaluation of stenosis before precutaneous coronary intervention should take into account both fractional flow reserve indices and myocardial perfusion, as well as other indices, in order to avoid misdiagnosis. The presented model provides better understanding of the background of clinical recommendations for possible surgical treatment of a stenosed coronary artery.

November 8, 2023

Mathematical modelling for spatial optimization of irradiation during proton radiotherapy with nanosensitizers

Maxim Kuznetsov, Andrey Kolobov

Page range: 303-321

Abstract

A spatially distributed mathematical model is presented that simulates the growth of a non-invasive tumour undergoing treatment by fractionated proton therapy with the use of non-radioactive tumour-specific nanosensitizers. Nanosensitizers are injected intravenously before each irradiation to increase the locally deposited dose via a chain of reactions with therapeutic protons. Modelling simulations show that the use of nanosensitizers allows increasing treatment efficacy. However, their effect is restricted by the necessity of decreasing the energy deposited in tumour in order to comply to the normal damage restrictions. Normalization of tumour microvasculature that accompanies the treatment, also compromises nanosensitizers effect as it impairs their inflow in tumour. It is shown that spatial optimization of irradiation, with conservation of total dose deposited in tumour, can increase tumour cell damage for each single irradiation. However, eventually it may not lead to the overall increase of treatment efficacy, in terms of minimization of the number of remaining viable tumour cells, due to the influence of tumour cell repopulation between irradiations. It is suggested that an efficient way towards minimization of tumour cell repopulation may be the faster suppression of angiogenesis by eradication of metabolically deprived tumour cells. This method can be efficient even despite the fact that it would also cause the decrease of supply of nanosensitizers into the tumour.

November 8, 2023

One-dimensional haemodynamic model of a vascular network with fractional-order viscoelasticity

Ruslan Yanbarisov, Timur Gamilov

Page range: 323-339

Abstract

We propose a computational framework for a one-dimensional haemodynamic model with the arterial walls described by the fractional-order viscoelastic material constitutive law. This framework is used to compare blood flow characteristics for simulations with elastic and fractional-order viscoelastic walls. We use three well-established benchmark tests: a single pulse wave in a long vessel, flow in a 37-segment network of elastic tubes, and flow in anatomically detailed arterial network consisting of 61 arterial segments. All results for elastic model are in a good agreement with analytical solutions, in vitro data and other well-established approaches. Fractional-order model demonstrates noticeable differences in pulse wave propagation speed and minor differences in pressure and flow profiles. Differences in profiles are negligible in major vessels, but more profound in vessels beyond the third or fourth generation.

Volume 38 (2023)

Volume 37 (2022)

Volume 36 (2021)

Volume 35 (2020)

Volume 34 (2019)

Volume 33 (2018)

Volume 32 (2017)

Volume 31 (2016)

Volume 30 (2015)

Volume 29 (2014)

Volume 28 (2013)

Volume 27 (2012)

Volume 26 (2012)

Volume 25 (2010)

Volume 24 (2009)

Volume 23 (2008)

Volume 22 (2007)

Volume 21 (2006)

Volume 20 (2005)

Volume 19 (2004)

Volume 18 (2003)

Volume 17 (2002)

Volume 16 (2001)

Volume 15 (2000)

Volume 14 (1999)

Volume 13 (1998)

Volume 12 (1997)

Volume 11 (1996)

Volume 10 (1995)

Volume 9 (1994)

Volume 8 (1993)

Volume 7 (1992)

Volume 6 (1991)

Volume 5 (1990)

Volume 4 (1989)

Volume 3 (1988)

Volume 2 (1987)

Volume 1 (1986)

Journal Impact Factor	0.6	2022, Journal Citation Reports (Clarivate, 2023)
5-year Journal Impact Factor	0.9	2022, Journal Citation Reports (Clarivate, 2023)
Journal Citation Indicator	0.48	2022, Journal Citation Reports (Clarivate, 2023)
CiteScore	2.3	2022, Scopus (Elsevier B.V., 2023)
SCImago Journal Rank	0.432	2022, SJR (Scimago Lab, 2023; Data Source: Scopus)
Source Normalized Impact per Paper	0.924	2022, CWTS Journal Indicators (CWTS B.V., 2023; Data Source: Scopus)
Mathematical Citation Quotient	0.15

More information about journal rankings

Submit

Submission
The contents of the Russian Journal of Numerical Analysis and Mathematical Modeling is based on the results of research conducted in the Russian Federation. To this end, the Editorial Board considers for publication primarily papers in which at least one of the authors is a citizen of Russia. The Editorial Board also considers papers based on research conducted by Russian scientists outside of Russia. The papers can be submitted via e-mail to the Managing Editor written either in Russian or English language.

Your benefits of publishing with us

Rapid online publication ahead-of-print with short turnaround times
Optional open access publication
Accepted papers will be published online first as DOI-citable, forward-linked articles for quickest possible visibility for the scientific community
Every article easily discoverable because of SEO and comprehensive abstracting and indexing services
Convenient citation tracking via e-mail alert
Secure archiving by De Gruyter and the independent archiving service Portico
Professional sales and marketing support

Submission process

Submission of your manuscript
Peer review process (you will be guided through every step)
Decision on your paper
If accepted: you have the option to publish it open access
Publication online and in print

Please note

Before submitting your article please have a look at our Instruction for Authors, Ethical Guidelines and our Copyright Transfer Agreement
Once your article is accepted you have the option to publish it open access
Our repository policy allows you to distribute 30 PDF copies of your published article to colleagues (the PDF has to include the information that it is an author's copy). Please also feel free to distribute the link to the online abstract
If you have any general questions please visit our FAQ page for authors

We look forward to receiving your manuscript!

Hybrid Open Access

Please note that authors from institutions with which we have a transformative agreement can publish open access without paying an article processing charge (APC). More information on the eligible institutions and articles can be found under the "Funding and Support" tab here

Editorial

EDITORS-IN-CHIEF
Valentin P. Dymnikov, Moscow
Yuri A. Kuznetsov, Houston/Moscow

MANAGING EDITOR
Yuri V. Vassilevski, Moscow
Institute of Numerical Mathematics of Russian Academy of Sciences Gubkina str. 8
Moscow 119333, Russia
Email: journal [at] dodo.inm.ras.ru

EDITORIAL BOARD
Valery I. Agoshkov, Moscow
Vladimir A. Garanzha, Moscow
Nikolay G. Iakovlev, Moscow
Georgy M. Kobelkov, Moscow
Gennady A. Mikhailov, Novosibirsk
Yuri M. Nechepurenko, Moscow
Sergey I. Repin, St. Petersburg
Vladimir V. Shaidurov, Krasnojarsk
Yurii I. Shokin, Novosibirsk
Eugene E. Tyrtyshnikov, Moscow

(Deutsch)

Online ISSN: 1569-3988
Print ISSN: 0927-6467
Type: Journal
Language: English
Publisher: De Gruyter
First published: January 1, 1986
Publication Frequency: 6 Issues per Year
Audience: researchers in the field of numerical analysis and mathematical modelling