Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

This article has been cited by the following article(s):

An Individualized Blood Coagulation Model to Predict INR Therapeutic Range During Warfarin Treatment

A. Bouchnita, K. Bouzaachane, T. Galochkina, P. Kurbatova, P. Nony, V. Volpert, G. Bocharov, J. Clairambault and V. Volpert
Mathematical Modelling of Natural Phenomena 11 (6) 28 (2016)
DOI: 10.1051/mmnp/201611603
See this article

Features of the distribution of the magnetic field in the vicinity of the erythrocyte membrane

A V Kopyltsov
IOP Conference Series: Earth and Environmental Science 548 (4) 042052 (2020)
DOI: 10.1088/1755-1315/548/4/042052
See this article

Fluid‐structure interaction simulations of venous valves: A monolithic ALE method for large structural displacements

Sara Calandrini and Eugenio Aulisa
International Journal for Numerical Methods in Biomedical Engineering 35 (2) (2019)
DOI: 10.1002/cnm.3156
See this article

Nonwetting droplet oscillation and displacement by viscoelastic fluids

Chiyu Xie, Ke Xu, Kishore Mohanty, Moran Wang and Matthew T. Balhoff
Physical Review Fluids 5 (6) (2020)
DOI: 10.1103/PhysRevFluids.5.063301
See this article

Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias

Timur Gamilov, Philipp Kopylov, Maria Serova, Roman Syunyaev, Andrey Pikunov, Sofya Belova, Fuyou Liang, Jordi Alastruey and Sergey Simakov
Mathematics 8 (8) 1205 (2020)
DOI: 10.3390/math8081205
See this article

A Note on the Similar and Non-Similar Solutions of Powell-Eyring Fluid Flow Model and Heat Transfer over a Horizontal Stretchable Surface

Razi Khan, M. Zaydan, Abderrahim Wakif, B. Ahmed, R.L. Monaledi, Isaac Lare Animasaun and Adeel Ahmad
Defect and Diffusion Forum 401 25 (2020)
DOI: 10.4028/www.scientific.net/DDF.401.25
See this article

Lumped parameter heart model with valve dynamics

Sergey S. Simakov
Russian Journal of Numerical Analysis and Mathematical Modelling 34 (5) 289 (2019)
DOI: 10.1515/rnam-2019-0025
See this article

Analysis of Operating Modes for Left Ventricle Assist Devices via Integrated Models of Blood Circulation

Sergey Simakov, Alexander Timofeev, Timur Gamilov, Philip Kopylov, Dmitry Telyshev and Yuri Vassilevski
Mathematics 8 (8) 1331 (2020)
DOI: 10.3390/math8081331
See this article

Synthetic photoplethysmography (PPG) of the radial artery through parallelized Monte Carlo and its correlation to body mass index (BMI)

Tananant Boonya-ananta, Andres J. Rodriguez, Ajmal Ajmal, Vinh Nguyen Du Le, Anders K. Hansen, Joshua D. Hutcheson and Jessica C. Ramella-Roman
Scientific Reports 11 (1) (2021)
DOI: 10.1038/s41598-021-82124-4
See this article

Arshed A. Ahmad, Murat Sari and Tahir Coşgun
30 71 (2020)
DOI: 10.1007/978-3-030-37062-6_4
See this article

Multiscale Modeling of Endothelium Derived Wall Shear Stress Regulation in Common Carotid Artery

Saeed Siri, Malikeh Nabaei and Nasser Fatouraee
Journal of Mechanics 35 (6) 901 (2019)
DOI: 10.1017/jmech.2019.1
See this article

Parameters and Branching Auto-Pulses in a Fluid Channel with Active Walls

Dmitry Strunin and Fatima Ahmed
Fluids 4 (3) 160 (2019)
DOI: 10.3390/fluids4030160
See this article

A well‐balanced positivity‐preserving central‐upwind scheme for one‐dimensional blood flow models

Gerardo Hernandez‐Duenas and Guillermo Ramirez‐Santiago
International Journal for Numerical Methods in Fluids 93 (2) 369 (2021)
DOI: 10.1002/fld.4887
See this article

RuiZi Zhang, Yue Sun and Yifan Chen
329 226 (2020)
DOI: 10.1007/978-3-030-57115-3_20
See this article

Simulation of Blood as Fluid: A Review From Rheological Aspects

Vikas Kannojiya, Arup Kumar Das and Prasanta Kumar Das
IEEE Reviews in Biomedical Engineering 14 327 (2021)
DOI: 10.1109/RBME.2020.3011182
See this article

A parametric investigation of blood flow in a wedge with non‐uniform viscosity and wall friction

Jacob Nagler
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99 (11) (2019)
DOI: 10.1002/zamm.201900011
See this article

Analysis of the impact of left ventricular assist devices on the systemic circulation

Sergey S. Simakov, Alexander E. Timofeev, Timur M. Gamilov, Philipp Yu. Kopylov, Dmitry V. Telyshev and Yuri V. Vassilevski
Russian Journal of Numerical Analysis and Mathematical Modelling 35 (5) 295 (2020)
DOI: 10.1515/rnam-2020-0025
See this article

A micropolar-Newtonian blood flow model through a porous layered artery in the presence of a magnetic field

Sneha Jaiswal and Pramod Kumar Yadav
Physics of Fluids 31 (7) 071901 (2019)
DOI: 10.1063/1.5100802
See this article

Fluids and their mechanics in tumour transit: shaping metastasis

Gautier Follain, David Herrmann, Sébastien Harlepp, Vincent Hyenne, Naël Osmani, Sean C. Warren, Paul Timpson and Jacky G. Goetz
Nature Reviews Cancer 20 (2) 107 (2020)
DOI: 10.1038/s41568-019-0221-x
See this article

Numerical solutions for blood flow in elastic vessels

Henryk Leszczyński, Artur Poliński and Monika Wrzosek
Mathematical Methods in the Applied Sciences 43 (18) 10532 (2020)
DOI: 10.1002/mma.6630
See this article

Evaluating rheological models for human blood using steady state, transient, and oscillatory shear predictions

Matthew Armstrong, Jeffrey Horner, Michael Clark, Michael Deegan, Timothy Hill, Charles Keith and Lynne Mooradian
Rheologica Acta 57 (11) 705 (2018)
DOI: 10.1007/s00397-018-1109-5
See this article

A. Hammoud, E. Yu. Sharay and A. N. Tikhomirov
2171 110022 (2019)
DOI: 10.1063/1.5133256
See this article

Sergey S. Simakov and Timur M. Gamilov
214 237 (2021)
DOI: 10.1007/978-981-33-4709-0_20
See this article

T. K. Dobroserdova, A. A. Cherevko and E. A. Sakharova
335 (2018)
DOI: 10.1007/978-3-319-91092-5_23
See this article

Mahesh Udupa, S. Shankar Narayan and Sunanda Saha
1169 257 (2021)
DOI: 10.1007/978-981-15-5414-8_21
See this article

Modern methods of mathematical modeling of blood flow using reduced order methods

Sergey Sergeevich Simakov
Computer Research and Modeling 10 (5) 581 (2018)
DOI: 10.20537/2076-7633-2018-10-5-581-604
See this article

Mathematical Modeling of the Coronary Circulation During Cardiac Pacing and Tachycardia

T. M. Gamilov, F. Y. Liang and S. S. Simakov
Lobachevskii Journal of Mathematics 40 (4) 448 (2019)
DOI: 10.1134/S1995080219040073
See this article

Modeling of the effects of IL-17 and TNF- α on endothelial cells and thrombus growth

Anass Bouchnita, Pierre Miossec, Alen Tosenberger and Vitaly Volpert
Comptes Rendus Biologies 340 (11-12) 456 (2017)
DOI: 10.1016/j.crvi.2017.10.002
See this article

Sebastian Sten, Henrik Podéus, Nicolas Sundqvist, Fredrik Elinder, Maria Engström and Gunnar Cedersund
(2021)
DOI: 10.1101/2021.03.25.437053
See this article

Isabela Birs and Cristina Muresan
51 (2020)
DOI: 10.1016/B978-0-12-815975-0.00008-4
See this article

An Approach to Identifying Phenomena Accompanying Micro and Nanoparticles in Contact With Irregular Vessel Walls

K. Talaska and A. Ferreira
IEEE Transactions on NanoBioscience 16 (6) 463 (2017)
DOI: 10.1109/TNB.2017.2717178
See this article

Afroza Akter and Salma Parvin
2121 100001 (2019)
DOI: 10.1063/1.5115932
See this article

Mathematical modelling of the non-Newtonian blood flow in the aortic arc

Vladimir P. Tregubov
Computer Research and Modeling 9 (2) 259 (2017)
DOI: 10.20537/2076-7633-2017-9-2-259-269
See this article

Physical Principles of the Method of Low-Frequency Piezothromboelastography for Studying Rheological Properties of Whole Blood

V. P. Demkin, S. V. Melnichuk, V. V. Udut, I. I. Tyutrin and O. V. Demkin
Russian Physics Journal 62 (6) 972 (2019)
DOI: 10.1007/s11182-019-01803-y
See this article

Assessment of surface roughness and blood rheology on local coronary haemodynamics: a multi-scale computational fluid dynamics study

David G. Owen, Torsten Schenkel, Duncan E. T. Shepherd and Daniel M. Espino
Journal of The Royal Society Interface 17 (169) 20200327 (2020)
DOI: 10.1098/rsif.2020.0327
See this article

Sergey Simakov and Timur Gamilov
133 309 (2019)
DOI: 10.1007/978-3-030-06228-6_25
See this article

Lattice Boltzmann model for three-phase viscoelastic fluid flow

Chiyu Xie, Wenhai Lei and Moran Wang
Physical Review E 97 (2) (2018)
DOI: 10.1103/PhysRevE.97.023312
See this article

Visualization and Measurements of Blood Cells Flowing in Microfluidic Systems and Blood Rheology: A Personalized Medicine Perspective

Diana Pinho, Violeta Carvalho, Inês M. Gonçalves, Senhorinha Teixeira and Rui Lima
Journal of Personalized Medicine 10 (4) 249 (2020)
DOI: 10.3390/jpm10040249
See this article

K. S. Suresh and A. Sukesh Kumar
749 567 (2019)
DOI: 10.1007/978-3-319-74808-5_49
See this article

Multiscale models of blood flow in the compliant aortic bifurcation

Tatyana Dobroserdova, Fuyou Liang, Grigory Panasenko and Yuri Vassilevski
Applied Mathematics Letters 93 98 (2019)
DOI: 10.1016/j.aml.2019.01.037
See this article

Loss of Stability of the Blood Liquid State and Assessment of Shear-Induced Thrombosis Risk

D. M. Pushin, T. Yu. Salikhova, L. S. Biryukova and G. Th. Guria
Radiophysics and Quantum Electronics 63 (9-10) 804 (2021)
DOI: 10.1007/s11141-021-10097-5
See this article

Rational design of liposomal drug delivery systems, a review: Combined experimental and computational studies of lipid membranes, liposomes and their PEGylation

Alex Bunker, Aniket Magarkar and Tapani Viitala
Biochimica et Biophysica Acta (BBA) - Biomembranes 1858 (10) 2334 (2016)
DOI: 10.1016/j.bbamem.2016.02.025
See this article

The influence of oxygen concentration on the rheological properties and flow of whole human blood

A. Zupančič Valant, L. Ziberna, Y. Papaharilaou, A. Anayiotos and G.C. Georgiou
Rheologica Acta 55 (11-12) 921 (2016)
DOI: 10.1007/s00397-016-0967-y
See this article

Influence of physical and rheological properties of sweeping fluids on the residual oil saturation at the micro- and macroscale

P. Druetta and F. Picchioni
Journal of Non-Newtonian Fluid Mechanics 286 104444 (2020)
DOI: 10.1016/j.jnnfm.2020.104444
See this article

Towards enabling a cardiovascular digital twin for human systemic circulation using inverse analysis

Neeraj Kavan Chakshu, Igor Sazonov and Perumal Nithiarasu
Biomechanics and Modeling in Mechanobiology 20 (2) 449 (2021)
DOI: 10.1007/s10237-020-01393-6
See this article

Timur Gamilov and Sergey Simakov
1028 143 (2020)
DOI: 10.1007/978-3-030-35048-2_17
See this article

On the statistical properties of fluid flows with transitional power-law rheology in heterogeneous porous media

Laurent Talon
Journal of Non-Newtonian Fluid Mechanics 304 104789 (2022)
DOI: 10.1016/j.jnnfm.2022.104789
See this article

Abir Lassoued and Olfa Boubaker
3 (2020)
DOI: 10.1016/B978-0-12-821350-6.00001-9
See this article

Development of the single ventricle heart mathematical model based on the equation of forced oscillations

A.P. Chernyaev, E.R. Pavlyukova and A.Y. Meyerson
CARDIOMETRY (18) 56 (2021)
DOI: 10.18137/cardiometry.2021.18.5659
See this article

The Convergence Analysis of Semi- and Fully-Discrete Projection-Decoupling Schemes for the Generalized Newtonian Models

Guanyu Zhou
Journal of Scientific Computing 91 (2) (2022)
DOI: 10.1007/s10915-022-01828-5
See this article

A Short Review of Advances in the Modelling of Blood Rheology and Clot Formation

Mohan Anand and Kumbakonam Rajagopal
Fluids 2 (3) 35 (2017)
DOI: 10.3390/fluids2030035
See this article

Emily Earl and Hadi Mohammadi
(2019)
DOI: 10.5772/intechopen.78305
See this article

Oscillative Trapping of a Droplet in a Converging Channel Induced by Elastic Instability

Chiyu Xie, Pengpeng Qi, Ke Xu, Jianping Xu and Matthew T. Balhoff
Physical Review Letters 128 (5) (2022)
DOI: 10.1103/PhysRevLett.128.054502
See this article

Clemens Birkenmaier, Tamara Steiger, Alois Philipp, Karla Lehle and Lars Krenkel
1 (2018)
DOI: 10.1109/BIOMDLORE.2018.8467205
See this article

Investigating the role of pericytes in cerebral autoregulation: a modeling study

Selena Milanovic, Kira Shaw, Catherine Hall and Stephen Payne
Physiological Measurement 42 (5) 054003 (2021)
DOI: 10.1088/1361-6579/abfb0a
See this article

Ahmet Fatih Tabak
83 (2022)
DOI: 10.1016/B978-0-12-823971-1.00004-0
See this article

Ran Hao, Nate Lombard Poirot and M. Cenk Cavusoglu
3216 (2020)
DOI: 10.1109/IROS45743.2020.9341527
See this article

Influence of postural changes on haemodynamics in internal carotid artery bifurcation aneurysm using numerical methods

Raghuvir Pai Ballambat, Mohammad Zuber, Shah Mohammed Abdul Khader, Anurag Ayachit, Kamarul Arifin bin Ahmad, Rajanikanth Rao Vedula, Sevagur Ganesh Kamath and Ibrahim Lutfi Shuaib
Visual Computing for Industry, Biomedicine, and Art 5 (1) (2022)
DOI: 10.1186/s42492-022-00107-2
See this article

Three-Dimensional Drug Release in the Stent-Polymer-Wall-Lumen of a Blood Vessel

Michel C. Delfour, André Garon and Steven Lamontagne
SIAM Journal on Applied Mathematics 79 (5) 1850 (2019)
DOI: 10.1137/19M1250923
See this article

Sequential Coupling Shows Minor Effects of Fluid Dynamics on Myocardial Deformation in a Realistic Whole-Heart Model

Jochen Brenneisen, Anna Daub, Tobias Gerach, Ekaterina Kovacheva, Larissa Huetter, Bettina Frohnapfel, Olaf Dössel and Axel Loewe
Frontiers in Cardiovascular Medicine 8 (2021)
DOI: 10.3389/fcvm.2021.768548
See this article

A Molecular Communication Detection Method for the Deformability of Erythrocyte Membrane in Blood Vessels

Yue Sun, Ruizi Zhang and Yifan Chen
IEEE Transactions on NanoBioscience 20 (4) 387 (2021)
DOI: 10.1109/TNB.2021.3064194
See this article

Imaging innate immunity*

Anika Grüneboom, Oliver Aust, Zülal Cibir, Flora Weber, Dirk M. Hermann and Matthias Gunzer
Immunological Reviews 306 (1) 293 (2022)
DOI: 10.1111/imr.13048
See this article

Spatially averaged haemodynamic models for different parts of cardiovascular system

Sergey S. Simakov
Russian Journal of Numerical Analysis and Mathematical Modelling 35 (5) 285 (2020)
DOI: 10.1515/rnam-2020-0024
See this article

Multiscale CT-Based Computational Modeling of Alveolar Gas Exchange during Artificial Lung Ventilation, Cluster (Biot) and Periodic (Cheyne-Stokes) Breathings and Bronchial Asthma Attack

Andrey Golov, Sergey Simakov, Yan Soe, Roman Pryamonosov, Ospan Mynbaev and Alexander Kholodov
Computation 5 (4) 11 (2017)
DOI: 10.3390/computation5010011
See this article

Novel semi-implicit, locally conservative Galerkin (SILCG) methods: Application to blood flow in a systemic circulation

Hayder M. Hasan, Alberto Coccarelli and Perumal Nithiarasu
Computer Methods in Applied Mechanics and Engineering 332 217 (2018)
DOI: 10.1016/j.cma.2017.12.017
See this article

Recent advances in blood rheology: a review

Antony N. Beris, Jeffrey S. Horner, Soham Jariwala, Matthew J. Armstrong and Norman J. Wagner
Soft Matter 17 (47) 10591 (2021)
DOI: 10.1039/D1SM01212F
See this article

In vitro Biomodels in Stenotic Arteries to Perform Blood Analogues Flow Visualizations and Measurements: A Review

Violeta Carvalho, Inês Maia, Andrews Souza, João Ribeiro, Pedro Costa, H. Puga, Senhorinha Teixeira and Rui A. Lima
The Open Biomedical Engineering Journal 14 (1) 87 (2020)
DOI: 10.2174/1874120702014010087
See this article

Effect of stenosis and dilatation on the hemodynamic parameters associated with left coronary artery

Sreelakshmi Sandeep and S.R. Shine
Computer Methods and Programs in Biomedicine 204 106052 (2021)
DOI: 10.1016/j.cmpb.2021.106052
See this article

Bruno Guerciotti and Christian Vergara
84 169 (2018)
DOI: 10.1007/978-3-319-59548-1_10
See this article

Red blood cell aggregates and their effect on non-Newtonian blood viscosity at low hematocrit in a two-fluid low shear rate microfluidic system

Rym Mehri, Catherine Mavriplis, Marianne Fenech and Philippe Connes
PLOS ONE 13 (7) e0199911 (2018)
DOI: 10.1371/journal.pone.0199911
See this article

Numerical modelling of blood rheology and platelet activation through a stenosed left coronary artery bifurcation

David G. Owen, Diana C. de Oliveira, Emma K. Neale, Duncan E. T. Shepherd, Daniel M. Espino and Fang-Bao Tian
PLOS ONE 16 (11) e0259196 (2021)
DOI: 10.1371/journal.pone.0259196
See this article

Noninvasive assessment of carotid artery stenoses by the principle of multiscale modelling of non-Newtonian blood flow in patient-specific models

Alena Jonášová and Jan Vimmr
Applied Mathematics and Computation 319 598 (2018)
DOI: 10.1016/j.amc.2017.07.032
See this article

Generalized Newtonian fluid flow in porous media

Christopher A. Bowers and Cass T. Miller
Physical Review Fluids 6 (12) (2021)
DOI: 10.1103/PhysRevFluids.6.123302
See this article

Developing Computational Geometry and Network Graph Models of Human Lymphatic System

Rufina Tretyakova, Rostislav Savinkov, Gennady Lobov and Gennady Bocharov
Computation 6 (1) 1 (2017)
DOI: 10.3390/computation6010001
See this article

The impact of non-linear viscoelastic property of blood in right coronary arteries hemodynamics — A numerical implementation

S.I.S. Pinto, E. Romano, C.C. António, L.C. Sousa and C.F. Castro
International Journal of Non-Linear Mechanics 123 103477 (2020)
DOI: 10.1016/j.ijnonlinmec.2020.103477
See this article

Yue Sun, Linjiang Tu, Yin Qing, Dongze Wang, Xi Yang, Haiyang Song, Siyang Chen and Yifan Chen
275 (2021)
DOI: 10.1109/UCET54125.2021.9674957
See this article

Personalized Computational Evaluation of Physical Endurance in a Treadmill Test with Increasing Load

A. V. Golov and S. S. Simakov
Lobachevskii Journal of Mathematics 41 (12) 2648 (2020)
DOI: 10.1134/S1995080220120112
See this article

New Boundary Conditions for One-Dimensional Network Models of Hemodynamics

S. S. Simakov
Computational Mathematics and Mathematical Physics 61 (12) 2102 (2021)
DOI: 10.1134/S0965542521120125
See this article

Mass transfer of a neutral solute in polyelectrolyte grafted soft nanochannel with porous wall

Debashis Roy, Saikat Bhattacharjee and Sirshendu De
ELECTROPHORESIS 41 (7-8) 578 (2020)
DOI: 10.1002/elps.201900282
See this article

Continuum Scale Non Newtonian Particle Transport Model for Hæmorheology

Torsten Schenkel and Ian Halliday
Mathematics 9 (17) 2100 (2021)
DOI: 10.3390/math9172100
See this article

On the exact solution of the Riemann problem for blood flow in human veins, including collapse

C. Spiller, E.F. Toro, M.E. Vázquez-Cendón and C. Contarino
Applied Mathematics and Computation 303 178 (2017)
DOI: 10.1016/j.amc.2017.01.024
See this article

The modeling of nonlinear pulse waves in elastic vessels using the Lattice Boltzmann method

O. V. Ilyin
Computer Research and Modeling 11 (4) 707 (2019)
DOI: 10.20537/2076-7633-2019-11-4-707-722
See this article