Methods of Blood Flow Modelling
Math. Model. Nat. Phenom., 11 1 (2016) 1-25
Published online: 2015-12-03
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):
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, et al.Defect and Diffusion Forum 401 25 (2020)
https://doi.org/10.4028/www.scientific.net/DDF.401.25
Nonwetting droplet oscillation and displacement by viscoelastic fluids
Chiyu Xie, Ke Xu, Kishore Mohanty, Moran Wang and Matthew T. BalhoffPhysical Review Fluids 5 (6) (2020)
https://doi.org/10.1103/PhysRevFluids.5.063301
Features of the distribution of the magnetic field in the vicinity of the erythrocyte membrane
A V KopyltsovIOP Conference Series: Earth and Environmental Science 548 (4) 042052 (2020)
https://doi.org/10.1088/1755-1315/548/4/042052
Personalized Computational Evaluation of Physical Endurance in a Treadmill Test with Increasing Load
A. V. Golov and S. S. SimakovLobachevskii Journal of Mathematics 41 (12) 2648 (2020)
https://doi.org/10.1134/S1995080220120112
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 SimakovMathematics 8 (8) 1205 (2020)
https://doi.org/10.3390/math8081205
In vitro Biomodels in Stenotic Arteries to Perform Blood Analogues Flow Visualizations and Measurements: A Review
Violeta Carvalho, Inês Maia, Andrews Souza, et al.The Open Biomedical Engineering Journal 14 (1) 87 (2020)
https://doi.org/10.2174/1874120702014010087
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 LimaJournal of Personalized Medicine 10 (4) 249 (2020)
https://doi.org/10.3390/jpm10040249
Mass transfer of a neutral solute in polyelectrolyte grafted soft nanochannel with porous wall
Debashis Roy, Saikat Bhattacharjee and Sirshendu DeELECTROPHORESIS 41 (7-8) 578 (2020)
https://doi.org/10.1002/elps.201900282
Spatially averaged haemodynamic models for different parts of cardiovascular system
Sergey S. SimakovRussian Journal of Numerical Analysis and Mathematical Modelling 35 (5) 285 (2020)
https://doi.org/10.1515/rnam-2020-0024
3 (2020)
https://doi.org/10.1016/B978-0-12-821350-6.00001-9
Proceedings of the 12th International Symposium on Computer Science in Sport (IACSS 2019)
Timur Gamilov and Sergey SimakovAdvances in Intelligent Systems and Computing, Proceedings of the 12th International Symposium on Computer Science in Sport (IACSS 2019) 1028 143 (2020)
https://doi.org/10.1007/978-3-030-35048-2_17
Bio-inspired Information and Communication Technologies
RuiZi Zhang, Yue Sun and Yifan ChenLecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, Bio-inspired Information and Communication Technologies 329 226 (2020)
https://doi.org/10.1007/978-3-030-57115-3_20
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. EspinoJournal of The Royal Society Interface 17 (169) 20200327 (2020)
https://doi.org/10.1098/rsif.2020.0327
2240 020019 (2020)
https://doi.org/10.1063/5.0007809
Numerical solutions for blood flow in elastic vessels
Henryk Leszczyński, Artur Poliński and Monika WrzosekMathematical Methods in the Applied Sciences 43 (18) 10532 (2020)
https://doi.org/10.1002/mma.6630
3216 (2020)
https://doi.org/10.1109/IROS45743.2020.9341527
Fluids and their mechanics in tumour transit: shaping metastasis
Gautier Follain, David Herrmann, Sébastien Harlepp, et al.Nature Reviews Cancer 20 (2) 107 (2020)
https://doi.org/10.1038/s41568-019-0221-x
51 (2020)
https://doi.org/10.1016/B978-0-12-815975-0.00008-4
Analysis of the impact of left ventricular assist devices on the systemic circulation
Sergey S. Simakov, Alexander E. Timofeev, Timur M. Gamilov, et al.Russian Journal of Numerical Analysis and Mathematical Modelling 35 (5) 295 (2020)
https://doi.org/10.1515/rnam-2020-0025
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. CastroInternational Journal of Non-Linear Mechanics 123 103477 (2020)
https://doi.org/10.1016/j.ijnonlinmec.2020.103477
Influence of physical and rheological properties of sweeping fluids on the residual oil saturation at the micro- and macroscale
P. Druetta and F. PicchioniJournal of Non-Newtonian Fluid Mechanics 286 104444 (2020)
https://doi.org/10.1016/j.jnnfm.2020.104444
https://doi.org/10.1016/B978-0-12-815653-7.16001-4
Smart Modeling for Engineering Systems
Sergey Simakov and Timur GamilovSmart Innovation, Systems and Technologies, Smart Modeling for Engineering Systems 133 309 (2019)
https://doi.org/10.1007/978-3-030-06228-6_25
A parametric investigation of blood flow in a wedge with non‐uniform viscosity and wall friction
Jacob NaglerZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 99 (11) (2019)
https://doi.org/10.1002/zamm.201900011
Multiscale models of blood flow in the compliant aortic bifurcation
Tatyana Dobroserdova, Fuyou Liang, Grigory Panasenko and Yuri VassilevskiApplied Mathematics Letters 93 98 (2019)
https://doi.org/10.1016/j.aml.2019.01.037
Cardiovascular Computing—Methodologies and Clinical Applications
Carole LeguySeries in BioEngineering, Cardiovascular Computing—Methodologies and Clinical Applications 231 (2019)
https://doi.org/10.1007/978-981-10-5092-3_11
Modelling and Simulation in Science, Technology and Engineering Mathematics
K. S. Suresh and A. Sukesh KumarAdvances in Intelligent Systems and Computing, Modelling and Simulation in Science, Technology and Engineering Mathematics 749 567 (2019)
https://doi.org/10.1007/978-3-319-74808-5_49
Three-Dimensional Drug Release in the Stent-Polymer-Wall-Lumen of a Blood Vessel
Michel C. Delfour, André Garon and Steven LamontagneSIAM Journal on Applied Mathematics 79 (5) 1850 (2019)
https://doi.org/10.1137/19M1250923
Biomechanics
Emily Earl and Hadi MohammadiBiomechanics (2019)
https://doi.org/10.5772/intechopen.78305
Multiscale Modeling of Endothelium Derived Wall Shear Stress Regulation in Common Carotid Artery
Saeed Siri, Malikeh Nabaei and Nasser FatouraeeJournal of Mechanics 35 (6) 901 (2019)
https://doi.org/10.1017/jmech.2019.1
2171 110022 (2019)
https://doi.org/10.1063/1.5133256
Mathematical Modeling of the Coronary Circulation During Cardiac Pacing and Tachycardia
T. M. Gamilov, F. Y. Liang and S. S. SimakovLobachevskii Journal of Mathematics 40 (4) 448 (2019)
https://doi.org/10.1134/S1995080219040073
A micropolar-Newtonian blood flow model through a porous layered artery in the presence of a magnetic field
Sneha Jaiswal and Pramod Kumar YadavPhysics of Fluids 31 (7) (2019)
https://doi.org/10.1063/1.5100802
Parameters and Branching Auto-Pulses in a Fluid Channel with Active Walls
Dmitry Strunin and Fatima AhmedFluids 4 (3) 160 (2019)
https://doi.org/10.3390/fluids4030160
Lumped parameter heart model with valve dynamics
Sergey S. SimakovRussian Journal of Numerical Analysis and Mathematical Modelling 34 (5) 289 (2019)
https://doi.org/10.1515/rnam-2019-0025
2121 100001 (2019)
https://doi.org/10.1063/1.5115932
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. DemkinRussian Physics Journal 62 (6) 972 (2019)
https://doi.org/10.1007/s11182-019-01803-y
Fluid‐structure interaction simulations of venous valves: A monolithic ALE method for large structural displacements
Sara Calandrini and Eugenio AulisaInternational Journal for Numerical Methods in Biomedical Engineering 35 (2) (2019)
https://doi.org/10.1002/cnm.3156
The modeling of nonlinear pulse waves in elastic vessels using the Lattice Boltzmann method
O. V. IlyinComputer Research and Modeling 11 (4) 707 (2019)
https://doi.org/10.20537/2076-7633-2019-11-4-707-722
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 VimmrApplied Mathematics and Computation 319 598 (2018)
https://doi.org/10.1016/j.amc.2017.07.032
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 ConnesPLOS ONE 13 (7) e0199911 (2018)
https://doi.org/10.1371/journal.pone.0199911
Modern methods of mathematical modeling of blood flow using reduced order methods
Sergey Sergeevich SimakovComputer Research and Modeling 10 (5) 581 (2018)
https://doi.org/10.20537/2076-7633-2018-10-5-581-604
1 (2018)
https://doi.org/10.1109/BIOMDLORE.2018.8467205
Biomedical Technology
Bruno Guerciotti and Christian VergaraLecture Notes in Applied and Computational Mechanics, Biomedical Technology 84 169 (2018)
https://doi.org/10.1007/978-3-319-59548-1_10
Trends in Biomathematics: Modeling, Optimization and Computational Problems
T. K. Dobroserdova, A. A. Cherevko and E. A. SakharovaTrends in Biomathematics: Modeling, Optimization and Computational Problems 335 (2018)
https://doi.org/10.1007/978-3-319-91092-5_23
Lattice Boltzmann model for three-phase viscoelastic fluid flow
Chiyu Xie, Wenhai Lei and Moran WangPhysical Review E 97 (2) (2018)
https://doi.org/10.1103/PhysRevE.97.023312
Evaluating rheological models for human blood using steady state, transient, and oscillatory shear predictions
Matthew Armstrong, Jeffrey Horner, Michael Clark, et al.Rheologica Acta 57 (11) 705 (2018)
https://doi.org/10.1007/s00397-018-1109-5
Novel semi-implicit, locally conservative Galerkin (SILCG) methods: Application to blood flow in a systemic circulation
Hayder M. Hasan, Alberto Coccarelli and Perumal NithiarasuComputer Methods in Applied Mechanics and Engineering 332 217 (2018)
https://doi.org/10.1016/j.cma.2017.12.017
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. ContarinoApplied Mathematics and Computation 303 178 (2017)
https://doi.org/10.1016/j.amc.2017.01.024
Mathematical modelling of the non-Newtonian blood flow in the aortic arc
Vladimir P. TregubovComputer Research and Modeling 9 (2) 259 (2017)
https://doi.org/10.20537/2076-7633-2017-9-2-259-269
A Short Review of Advances in the Modelling of Blood Rheology and Clot Formation
Mohan Anand and Kumbakonam RajagopalFluids 2 (3) 35 (2017)
https://doi.org/10.3390/fluids2030035
An Approach to Identifying Phenomena Accompanying Micro and Nanoparticles in Contact With Irregular Vessel Walls
K. Talaska and A. FerreiraIEEE Transactions on NanoBioscience 16 (6) 463 (2017)
https://doi.org/10.1109/TNB.2017.2717178
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 KholodovComputation 5 (1) 11 (2017)
https://doi.org/10.3390/computation5010011
Developing Computational Geometry and Network Graph Models of Human Lymphatic System
Rufina Tretyakova, Rostislav Savinkov, Gennady Lobov and Gennady BocharovComputation 6 (1) 1 (2017)
https://doi.org/10.3390/computation6010001
Modeling of the effects of IL-17 and TNF-α on endothelial cells and thrombus growth
Anass Bouchnita, Pierre Miossec, Alen Tosenberger and Vitaly VolpertComptes Rendus. Biologies 340 (11-12) 456 (2017)
https://doi.org/10.1016/j.crvi.2017.10.002
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 ViitalaBiochimica et Biophysica Acta (BBA) - Biomembranes 1858 (10) 2334 (2016)
https://doi.org/10.1016/j.bbamem.2016.02.025
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. GeorgiouRheologica Acta 55 (11-12) 921 (2016)
https://doi.org/10.1007/s00397-016-0967-y
An Individualized Blood Coagulation Model to Predict INR Therapeutic Range During Warfarin Treatment
A. Bouchnita, K. Bouzaachane, T. Galochkina, et al.Mathematical Modelling of Natural Phenomena 11 (6) 28 (2016)
https://doi.org/10.1051/mmnp/201611603