Xia, Zehong; Zhu, Ziwei; Ye, Ting; Sun, Ni Particle-based modeling and GPU-accelerated simulation of cellular blood flow. (English) Zbl 07947907 Comput. Phys. Commun. 306, Article ID 109350, 17 p. (2025). MSC: 92C35 76Z05 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Égée, Stéphane; Postel, Marie; Sarels, Benoît Ionic permeabilities of the human red blood cell: insights of a simple mathematical model. (English) Zbl 1545.92032 MathS In Action 13, 1-31 (2024). MSC: 92C37 34C60 × Cite Format Result Cite Review PDF Full Text: DOI
Dirkes, Nico; Key, Fabian; Behr, Marek Eulerian formulation of the tensor-based morphology equations for strain-based blood damage modeling. (English) Zbl 1539.76291 Comput. Methods Appl. Mech. Eng. 426, Article ID 116979, 18 p. (2024). MSC: 76Z05 92-10 92C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azroul, E.; Diki, G.; Guedda, M. Exploring the interplay between memory effects and vesicle dynamics: a five-dimensional analysis using rigid sphere models and mapping techniques. (English) Zbl 1536.92037 Stud. Appl. Math. 152, No. 1, 431-452 (2024). MSC: 92C37 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Puthumana, V.; Chen, P. G.; Leonetti, M.; Lasserre, R.; Jaeger, M. Assessment of coupled bilayer-cytoskeleton modelling strategy for red blood cell dynamics in flow. (English) Zbl 1546.76128 J. Fluid Mech. 979, Paper No. A44, 32 p. (2024). MSC: 76Z05 92C17 74F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Laadhari, Aymen; Deeb, Ahmad; Kaoui, Badr Hydrodynamics simulation of red blood cells: employing a penalty method with double jump composition of lower order time integrator. (English) Zbl 1536.76070 Math. Methods Appl. Sci. 46, No. 18, 19035-19061 (2023). MSC: 76M10 76Z05 76A05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Wei, Xinyu; Sang, Jianbing; Tian, Chuan; Sun, Lifang; Liu, Baoyou Different types of constitutive parameters red blood cell membrane based on machine learning and FEM. (English) Zbl 07714960 Int. J. Comput. Methods 20, No. 3, Article ID 2250057, 21 p. (2023). MSC: 92-10 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Shah, Murad Ali; Pan, Kejia; Chen, Rui; Zhang, Zhengru; He, Dongdong A decoupled finite element scheme for simulating the dynamics of red blood cells in an L-shaped cavity. (English) Zbl 1538.65389 Comput. Math. Appl. 140, 169-182 (2023). MSC: 65M60 65M12 76D05 76T99 65M06 65N30 92C35 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Pepona, Marianna; Gounley, John; Randles, Amanda Effect of constitutive law on the erythrocyte membrane response to large strains. (English) Zbl 1524.74123 Comput. Math. Appl. 132, 145-160 (2023). MSC: 74F10 76Z05 76M15 92C10 76D07 74K15 × Cite Format Result Cite Review PDF Full Text: DOI
Krystian, Jędrzejczak; Łukasz, Makowski; Wojciech, Orciuch Model of blood rheology including hemolysis based on population balance. (English) Zbl 1506.76227 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106802, 22 p. (2023). MSC: 76Z05 76A05 76M99 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Balamanikandan, P.; Bharathi, S. Jeya A mathematical modelling to detect sickle cell anemia using quantum graph theory and aquila optimization classifier. (English) Zbl 1508.92047 Math. Biosci. Eng. 19, No. 10, 10060-10077 (2022). MSC: 92C32 92D20 81Q35 05C90 × Cite Format Result Cite Review PDF Full Text: DOI
Mittal, A. K. A spectrally accurate time-space pseudospectral method for reaction-diffusion malaria infection model. (English) Zbl 1513.65413 Comput. Appl. Math. 41, No. 8, Paper No. 390, 21 p. (2022). MSC: 65M70 65M15 35C11 33C45 92D30 92C37 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Denysova, Olga; Nitsche, Johannes M. Conclusions about osmotically inactive volume and osmotic fragility from a detailed erythrocyte model. (English) Zbl 1483.92059 J. Theor. Biol. 539, Article ID 110982, 13 p. (2022). MSC: 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Shuhao; Wang, Shuo; Qi, Xiaojing; Han, Keqin; Jin, Xiaoqing; Li, Zhen; Hu, Guoqing; Li, Xuejin Multiscale computational framework for predicting viscoelasticity of red blood cells in aging and mechanical fatigue. (English) Zbl 1507.74232 Comput. Methods Appl. Mech. Eng. 391, Article ID 114535, 20 p. (2022). MSC: 74L15 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Eldesoky, I. M.; Abumandour, R. M.; Kamel, M. H.; Abdelwahab, E. T. The combined effects of wall properties and space porosity on MHD two-phase peristaltic slip transport through planar channels. (English) Zbl 1491.76073 Int. J. Appl. Comput. Math. 7, No. 2, Paper No. 37, 37 p. (2021). MSC: 76S05 76W05 76T20 76D45 76Z05 74F10 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Meacci, Luca; Ausas, Roberto Federico; Mut, Fernando; Buscaglia, Gustavo Carlos Multi-component red blood cell computational modeling: a new mathematical formulation. (English) Zbl 1482.76156 Adv. Math. Sci. Appl. 30, No. 2, 521-554 (2021). MSC: 76Z05 74L15 74F10 92C10 92C17 × Cite Format Result Cite Review PDF Full Text: Link
Panigrahi, Santqshi; Chand, Sunita A fractional order delay differential model for survival of red blood cells in an animal: stability analysis. (English) Zbl 1480.92064 Tatra Mt. Math. Publ. 80, 135-144 (2021). MSC: 92C37 34K20 34K37 × Cite Format Result Cite Review PDF Full Text: DOI
Bashaga, G.; Shaw, S. Shear-augmented solute dispersion during drug delivery for three-layer flow through microvessel under stress jump and momentum slip-Darcy model. (English) Zbl 1479.76122 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 6, 901-914 (2021). MSC: 76Z05 76A05 76S05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Mignon, Thierry; Mendez, Simon A theoretical investigation of the frisbee motion of red blood cells in shear flow. (English) Zbl 1465.74003 Math. Model. Nat. Phenom. 16, Paper No. 23, 28 p. (2021). MSC: 74-04 74F10 74H10 74K15 92C05 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Mitkowski, Paweł J. Mathematical structures of ergodicity and chaos in population dynamics. (English) Zbl 1471.92002 Studies in Systems, Decision and Control 312. Cham: Springer (ISBN 978-3-030-57677-6/hbk; 978-3-030-57680-6/pbk; 978-3-030-57678-3/ebook). xii, 97 p. (2021). Reviewer: Attila Dénes (Szeged) MSC: 92-02 92D25 92C37 34K23 × Cite Format Result Cite Review PDF Full Text: DOI
Alexeev, Dmitry; Amoudruz, Lucas; Litvinov, Sergey; Koumoutsakos, Petros Mirheo: high-performance mesoscale simulations for microfluidics. (English) Zbl 1535.76003 Comput. Phys. Commun. 254, Article ID 107298, 10 p. (2020). MSC: 76-04 65Y10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Yang, Zhen-Yu; Hou, Ji-Xuan Shape transformation of red blood cells induced by the osmotic pressure. (English) Zbl 07684325 Eur. J. Phys. 41, No. 6, Article ID 065501, 6 p. (2020). MSC: 92-XX 76-XX × Cite Format Result Cite Review PDF Full Text: DOI
Tan, Sisi; Xu, Mingze Numerical studies of shape recovery of a red blood cell using dissipative particle dynamics. (English) Zbl 07336568 Int. J. Comput. Methods 17, No. 7, Article ID 1950032, 15 p. (2020). MSC: 76Z05 92C37 74L15 74D05 × Cite Format Result Cite Review PDF Full Text: DOI
Meacci, Luca; Buscaglia, Gustavo C.; Mut, Fernando; Ausas, Roberto F.; Primicerio, Mario A new two-component approach in modeling red blood cells. (English) Zbl 1457.92054 Commun. Appl. Ind. Math. 11, No. 1, 55-71 (2020). MSC: 92C37 92C32 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI DOI
Geekiyanage, Nadeeshani Maheshika; Flower, Robert; Gu, Yuan Tong; Sauret, Emilie An improved coarse-grained model to accurately predict red blood cell morphology and deformability. (English) Zbl 1453.92095 Miller, Karol (ed.) et al., Computational biomechanics for medicine. Solid and fluid mechanics for the benefit of patients. Selected papers based on the presentations at the workshop, MICCAI 2019, Shenzhen, China, October 13–17, 2019. Cham: Springer. 47-84 (2020). MSC: 92C37 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Bian, Xin; Litvinov, Sergey; Koumoutsakos, Petros Bending models of lipid bilayer membranes: spontaneous curvature and area-difference elasticity. (English) Zbl 1441.74298 Comput. Methods Appl. Mech. Eng. 359, Article ID 112758, 32 p. (2020). MSC: 74S99 53Z05 74K15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Li, Yongkun; Wang, Yaolu; Li, Bing Existence and finite-time stability of a unique almost periodic positive solution for fractional-order Lasota-Wazewska red blood cell models. (English) Zbl 1443.34091 Int. J. Biomath. 13, No. 2, Article ID 2050013, 16 p. (2020). MSC: 34K60 92C37 34K37 34K14 34K20 47N20 × Cite Format Result Cite Review PDF Full Text: DOI
Panklang, Nitipong; Techaumnat, Boonchai; Wisitsoraat, Anurat Analysis of the equivalent dipole moment of red blood cell by using the boundary element method. (English) Zbl 1464.78020 Eng. Anal. Bound. Elem. 112, 68-76 (2020). MSC: 78M15 92-08 92C05 65N38 × Cite Format Result Cite Review PDF Full Text: DOI
Hyakutake, Toru; Yano, Keisuke Numerical simulation on effect of red blood cell motion on flow behavior of liposome-encapsulated hemoglobin. (English) Zbl 07879533 Int. J. Comput. Methods Eng. Sci. Mech. 19, No. 5, 314-323 (2018). MSC: 92Cxx 76Zxx 76Dxx × Cite Format Result Cite Review PDF Full Text: DOI
Wu, Tai-Hsien; Khani, Mohammadreza; Sawalha, Lina; Springstead, James; Kapenga, John; Qi, Dewei A CUDA-based implementation of a fluid-solid interaction solver: the immersed boundary lattice-Boltzmann lattice-spring method. (English) Zbl 1474.76061 Commun. Comput. Phys. 23, No. 4, 980-1011 (2018). MSC: 76M28 65Y10 74F10 76-04 × Cite Format Result Cite Review PDF Full Text: DOI
Xiao, Lanlan; Liu, Yang; Chen, Shuo; Fu, Bingmei Dissipative particle dynamics simulation of multiple deformable red blood cells in a vessel. (English) Zbl 1425.76328 Vorobieff, Peter (ed.) et al., Multiphase flow. Theory and applications. Southampton: WIT Press. 303-313 (2018). MSC: 76Z05 76T20 92C35 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Hosaka, Mamoru; Nagata, Takayuki; Takahashi, Shun; Fukuda, Kota Numerical simulation on solid-liquid multiphase flow including complex-shaped objects with collision and adhesion effects using immersed boundary method. (English) Zbl 1425.76275 Vorobieff, Peter (ed.) et al., Multiphase flow. Theory and applications. Southampton: WIT Press. 167-180 (2018). MSC: 76T15 76Z05 76M20 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Yan, Zhaolin; Gao, Jianfang Oscillation analysis of numerical solutions for red blood cells model. (Chinese. English summary) Zbl 1424.92013 Appl. Math., Ser. A (Chin. Ed.) 33, No. 4, 431-440 (2018). MSC: 92C37 65L03 65L20 × Cite Format Result Cite Review PDF
Wang, Rongyang; Wei, Yikun; Wu, Chuanyu; Sun, Liang; Zheng, Wenguang Numerical simulations of the motion and deformation of three RBCs during Poiseuille flow through a constricted vessel using IB-LBM. (English) Zbl 1411.92074 Comput. Math. Methods Med. 2018, Article ID 9425375, 12 p. (2018). MSC: 92C35 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Sun, Qingshan; Xiao, Min; Tao, Binbin; Jiang, Guoping; Cao, Jinde; Zhang, Fuchen; Huang, Chengdai Hopf bifurcation analysis in a fractional-order survival red blood cells model and \(PD^{\alpha} \) control. (English) Zbl 1445.37069 Adv. Difference Equ. 2018, Paper No. 10, 12 p. (2018). MSC: 37N25 34K37 92C17 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Bušík, Martin; Slavík, Martin; Cimrák, Ivan Dissipative coupling of fluid and immersed objects for modelling of cells in flow. (English) Zbl 1431.92016 Comput. Math. Methods Med. 2018, Article ID 7842857, 11 p. (2018). MSC: 92C17 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Ye, Huilin; Shen, Zhiqiang; Li, Ying Computational modeling of magnetic particle margination within blood flow through LAMMPS. (English) Zbl 1471.76099 Comput. Mech. 62, No. 3, 457-476 (2018). MSC: 76Z05 76T20 76W05 76M28 92C35 92C17 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Shihai; Yu, Yao; Pan, Tsorng-Whay; Glowinski, Roland A DLM/FD/IB method for simulating compound cell interacting with red blood cells in a microchannel. (English) Zbl 1393.76148 Chin. Ann. Math., Ser. B 39, No. 3, 535-552 (2018). MSC: 76Z05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Xue-Jun; Ou-Yang, Zhong-Can Mechanism behind the beauty: the golden ratio appeared in the shape of red blood cells. (English) Zbl 1499.92026 Commun. Comput. Phys. 21, No. 2, 559-569 (2017). MSC: 92C37 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Laadhari, Aymen; Saramito, Pierre; Misbah, Chaouqi; Székely, Gábor Fully implicit methodology for the dynamics of biomembranes and capillary interfaces by combining the level set and Newton methods. (English) Zbl 1380.76168 J. Comput. Phys. 343, 271-299 (2017). MSC: 76Y05 76M10 76D45 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Yao, Zhijian Existence and exponential stability of unique almost periodic solution for Lasota-Wazewska red blood cell model with perturbation on time scales. (English) Zbl 1372.34144 Math. Methods Appl. Sci. 40, No. 13, 4709-4715 (2017). MSC: 34N05 34K14 34K20 47N20 34K27 34K60 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Marijani, Theresia; Lungu, Edward A within host model of blood stage malaria with treatment. (English) Zbl 1360.92107 J. Biol. Syst. 25, No. 1, 1-27 (2017). MSC: 92D30 92C60 × Cite Format Result Cite Review PDF Full Text: DOI
Secomb, Timothy W. Blood flow in the microcirculation. (English) Zbl 1359.76355 Davis, Stephen H. (ed.) et al., Annual review of fluid mechanics. Vol. 49. Palo Alto, CA: Annual Reviews (ISBN 978-0-8243-0749-3/hbk). Annual Review of Fluid Mechanics 49, 443-461 (2017). MSC: 76Z05 76T20 76D07 92C35 76-02 × Cite Format Result Cite Review PDF Full Text: DOI
Kano, Hiroyuki; Fujioka, Hiroyuki Trivariate and \(n\)-variate optimal smoothing splines with dynamic shape modeling of deforming object. (English) Zbl 1392.41007 Commun. Inf. Syst. 16, No. 3, 147-183 (2016). MSC: 41A15 74A05 92C37 90C20 × Cite Format Result Cite Review PDF Full Text: DOI
Jayathilake, P. G.; Liu, Gang; Tan, Zhijun; Khoo, B. C. Numerical study on the dynamics and oxygen uptake of healthy and malaria-infected red blood cells. (English) Zbl 1488.92021 Adv. Appl. Math. Mech. 7, No. 5, 549-568 (2015). MSC: 92C37 92C10 92C32 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Ademiloye, A. S.; Zhang, L. W.; Liew, K. M. Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy-Born rule. (English) Zbl 1410.92033 Appl. Math. Comput. 268, 334-353 (2015). MSC: 92C37 92C05 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Polwaththe-Gallage, Hasitha-Nayanajith; Saha, Suvash Chandra; Sauret, Emilie; Flower, Robert; Gu, Yuantong Numerical investigation of motion and deformation of a single red blood cell in a stenosed capillary. (English) Zbl 1359.76234 Int. J. Comput. Methods 12, No. 4, Article ID 1540003, 21 p. (2015). MSC: 76M28 92C35 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Song, Hwayeon; Hashash, Youssef M. A. Characterization of stress-strain behaviour of red blood cells (RBCs). II: Response of malaria-infected RBCs. (English) Zbl 1326.92050 Inverse Probl. Sci. Eng. 23, No. 3, 413-424 (2015). MSC: 92C60 × Cite Format Result Cite Review PDF Full Text: DOI
Hadjinicolaou, M.; Kamvyssas, G.; Protopapas, E. Stokes flow applied to the sedimentation of a red blood cell. (English) Zbl 1322.76079 Q. Appl. Math. 73, No. 3, 511-523 (2015). MSC: 76Z05 35Q35 76D07 92C05 92C35 76T20 × Cite Format Result Cite Review PDF Full Text: DOI
Pantz, Olivier; Trabelsi, Karim Derivation of nonlinear shell models combining shear and flexure: application to biological membranes. (English) Zbl 1317.74059 Math. Mech. Complex Syst. 3, No. 2, 101-138 (2015). MSC: 74K20 74K25 74B20 × Cite Format Result Cite Review PDF Full Text: DOI
Qiao, Heyuan; Ding, Weiping; Ma, Yuncong; Sun, Sijie; Gao, Dayong Effect of the polydispersity of RBCs on the recovery rate of RBCs during the removal of CPAs. (English) Zbl 1423.92049 Comput. Math. Methods Med. 2014, Article ID 792302, 11 p. (2014). MSC: 92C37 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Xuejin; Peng, Zhangli; Lei, Huan; Dao, Ming; Karniadakis, George Em Probing red blood cell mechanics, rheology and dynamics with a two-component multi-scale model. (English) Zbl 1353.92037 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 372, No. 2021, Article ID 20130389, 17 p. (2014). MSC: 92C35 76Z05 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Bodnár, Tomáš; Fasano, Antonio; Sequeira, Adélia Mathematical models for blood coagulation. (English) Zbl 1351.76320 Bodnár, Tomáš (ed.) et al., Fluid-structure interaction and biomedical applications. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0821-7/hbk; 978-3-0348-0822-4/ebook). Advances in Mathematical Fluid Mechanics, 483-569 (2014). MSC: 76Z05 92C10 92C40 76-02 × Cite Format Result Cite Review PDF Full Text: DOI
Shi, Xing; Lin, Guang Modeling the sedimentation of red blood cells in flow under strong external magnetic body force using a lattice Boltzmann fictitious domain method. (English) Zbl 1324.76041 Numer. Math., Theory Methods Appl. 7, No. 4, 512-523 (2014). MSC: 76M25 76Z05 65M85 92C35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Alomari, Yazan M.; Abdullah, Siti Norul Huda Sheikh; Azma, Raja Zaharatul; Omar, Khairuddin Automatic detection and quantification of WBCs and RBCs using iterative structured circle detection algorithm. (English) Zbl 1423.92137 Comput. Math. Methods Med. 2014, Article ID 979302, 17 p. (2014). MSC: 92C55 92-08 × Cite Format Result Cite Review PDF Full Text: DOI
Omori, Toshihiro; Ishikawa, Takuji; Imai, Yohsuke; Yamaguchi, Takami Hydrodynamic interaction between two red blood cells in simple shear flow: its impact on the rheology of a semi-dilute suspension. (English) Zbl 1311.76155 Comput. Mech. 54, No. 4, 933-941 (2014). MSC: 76Z05 76M15 74F10 74K15 76T20 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Xiangyang; Guo, Xu; Su, Zheng A quasi-continuum model for human erythrocyte membrane based on the higher order Cauchy-Born rule. (English) Zbl 1295.74053 Comput. Methods Appl. Mech. Eng. 268, 284-298 (2014). MSC: 74K15 92C37 74L15 × Cite Format Result Cite Review PDF Full Text: DOI
Baganis, G.; Dassios, G.; Hadjinicolaou, M.; Protopapas, E. The Kelvin transformation as a tool for analyzing problems in medicine and technology. (English) Zbl 1280.35105 Math. Methods Appl. Sci. 37, No. 2, 194-199 (2014). MSC: 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI
Polwaththe-Gallage, Hasitha-Nayanajith; Saha, Suvash C.; Gu, YuanTong Formation of the three-dimensional geometry of the red blood cell membrane. (English) Zbl 1387.92011 ANZIAM J. 55C, Proc. 2013, C80-C95 (2013). MSC: 92C10 74K15 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Yin, Yong; Li, Jianli; Xu, Yanli Positive almost periodic solution of discrete nonlinear survival red blood cells model with feedback control. (English) Zbl 1325.92032 J. Appl. Math. Comput. 42, No. 1-2, 283-296 (2013). MSC: 92C37 39A24 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Hoppe, Ronald H. W.; Linsenmann, Christopher The finite element immersed boundary method for the numerical simulation of the motion of red blood cells in microfluidic flows. (English) Zbl 1402.92068 Repin, Sergei (ed.) et al., Numerical methods for differential equations, optimization, and technological problems. Dedicated to Professor P. Neittaanmäki on his 60th birthday. Selected papers based on the presentations at the ECCOMAS thematic conference computational analysis and optimization (CAO 2011), Jyväskylä, Finland, June 9–11, 2011. Dordrecht: Springer (ISBN 978-94-007-5287-0/hbk; 978-94-007-5288-7/ebook). Computational Methods in Applied Sciences 27, 3-17 (2013). MSC: 92C17 92C37 76Z05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Shufang; Zu, Yuangang Stability analysis of a discrete nonlinear delay survival red blood cells model. (English) Zbl 1280.92014 Int. J. Biomath. 5, No. 4, Article ID 1250030, 9 p. (2012). MSC: 92C37 34K60 34K20 × Cite Format Result Cite Review PDF Full Text: DOI
Fraternali, F.; Lorenz, C. D.; Marcelli, G. On the estimation of the curvatures and bending rigidity of membrane networks via a local maximum-entropy approach. (English) Zbl 1238.92008 J. Comput. Phys. 231, No. 2, 528-540 (2012). MSC: 92C40 92C05 94A17 65C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shi, Lingling; Pan, Tsorng-Whay; Glowinski, Roland Numerical simulation of lateral migration of red blood cells in Poiseuille flows. (English) Zbl 1302.92021 Int. J. Numer. Methods Fluids 68, No. 11, 1393-1408 (2012). MSC: 92C17 92C35 65M60 65M85 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Wei-Xi; Chang, Cheong Bong; Sung, Hyung Jin Three-dimensional simulation of elastic capsules in shear flow by the penalty immersed boundary method. (English) Zbl 1404.74159 J. Comput. Phys. 231, No. 8, 3340-3364 (2012). MSC: 74S05 74K15 74F10 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Korell, Julia; Coulter, Carolyn V.; Duffull, Stephen B. A statistical model for red blood cell survival. (English) Zbl 1411.92079 J. Theor. Biol. 268, 39-49 (2011). MSC: 92C37 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Munganga, J. M. W.; Maritz, R. A stability result on the orientation of red blood cells in the venule network. (English) Zbl 1270.76093 J. Math. Fluid Mech. 13, No. 2, 155-172 (2011). MSC: 76Z05 76T20 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Qiu, Bing; Tan, Hui-Li; Li, Hua-Binig Lattice Boltzmann simulation of one particle migrating in a pulsating flow in microvessel. (English) Zbl 1247.76098 Commun. Theor. Phys. 56, No. 4, 756-760 (2011). MSC: 76Z05 92C35 76M28 35Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, X. Z.; Zhao, F. P.; Sun, Z. H.; Wu, H. A. The inverse problem of red blood cells deformed by optical tweezers. (English) Zbl 1245.78011 Int. J. Comput. Methods 8, No. 3, 483-492 (2011). MSC: 78A70 92C55 × Cite Format Result Cite Review PDF Full Text: DOI
Franke, Thomas; Hoppe, Ronald H. W.; Linsenmann, Christopher; Schmid, Lothar; Willbold, Carina; Wixforth, Achim Numerical simulation of the motion of red blood cells and vesicles in microfluidic flows. (English) Zbl 1402.92066 Comput. Vis. Sci. 14, No. 4, 167-180 (2011). MSC: 92C17 92C35 76Z05 76M10 × Cite Format Result Cite Review PDF Full Text: DOI Link
Bonito, A.; Nochetto, R. H.; Pauletti, M. S. Dynamics of biomembranes: effect of the bulk fluid. (English) Zbl 1231.92014 Math. Model. Nat. Phenom. 6, No. 5, 25-43 (2011). MSC: 92C05 74F10 76D05 65M60 92C35 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Farhat, Hassan; Lee, Jong Suk; Lee, Joon Sang A multi-component lattice Boltzmann model with non-uniform interfacial tension module for the study of blood flow in the microvasculature. (English) Zbl 1223.92008 Int. J. Numer. Methods Fluids 67, No. 1, 93-108 (2011). MSC: 92C35 92C37 65C20 92C50 × Cite Format Result Cite Review PDF Full Text: DOI
Le, Duc-Vinh; Wong, Sum Thai A front-tracking method with Catmull-Clark subdivision surfaces for studying liquid capsules enclosed by thin shells in shear flow. (English) Zbl 1316.76074 J. Comput. Phys. 230, No. 9, 3538-3555 (2011). MSC: 76M25 76D99 76Z05 92C37 65D05 65M99 × Cite Format Result Cite Review PDF Full Text: DOI
Lubarda, V. A. Constitutive analysis of thin biological membranes with application to radial stretching of a hollow circular membrane. (English) Zbl 1244.74025 J. Mech. Phys. Solids 58, No. 6, 860-873 (2010). MSC: 74B20 74L15 74K15 92C10 × Cite Format Result Cite Review PDF Full Text: DOI
Obrist, Dominik; Weber, Bruno; Buck, Alfred; Jenny, Patrick Red blood cell distribution in simplified capillary networks. (English) Zbl 1202.76165 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 368, No. 1921, 2897-2918 (2010). MSC: 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Hong; Isfahani, Amir H. G.; Olson, Luke N.; Freund, Jonathan B. A spectral boundary integral method for flowing blood cells. (English) Zbl 1186.92013 J. Comput. Phys. 229, No. 10, 3726-3744 (2010). MSC: 92C35 92C37 76M22 92C30 65C60 76Z05 76D07 × Cite Format Result Cite Review PDF Full Text: DOI
Bonito, Andrea; Nochetto, Ricardo H.; Pauletti, M. Sebastian Parametric FEM for geometric biomembranes. (English) Zbl 1307.76049 J. Comput. Phys. 229, No. 9, 3171-3188 (2010). MSC: 76M10 76Z05 92C15 65N30 × Cite Format Result Cite Review PDF Full Text: DOI
Crowl, Lindsay M.; Fogelson, Aaron L. Computational model of whole blood exhibiting lateral platelet motion induced by red blood cells. (English) Zbl 1183.92022 Int. J. Numer. Methods Biomed. Eng. 26, No. 3-4, 471-487 (2010). MSC: 92C35 92C30 76D05 92C37 76M15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wu, Jingshu; Aidun, Cyrus K. Simulating 3D deformable particle suspensions using lattice Boltzmann method with discrete external boundary force. (English) Zbl 1423.76473 Int. J. Numer. Methods Fluids 62, No. 7, 765-783 (2010). MSC: 76T20 76M28 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Jafari, A.; Zamankhan, P.; Mousavi, S. M.; Kolari, P. Numerical investigation of blood flow. II: In capillaries. (English) Zbl 1221.76266 Commun. Nonlinear Sci. Numer. Simul. 14, No. 4, 1396-1402 (2009). MSC: 76Z05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Yafia, Radouane Dynamics and numerical simulations in a production and development of red blood cells model with one delay. (English) Zbl 1221.37205 Commun. Nonlinear Sci. Numer. Simul. 14, No. 2, 582-592 (2009). MSC: 37N25 92C37 92-08 34K20 92D25 × Cite Format Result Cite Review PDF Full Text: DOI
Pozrikidis, C. Numerical simulation of blood flow through microvascular capillary networks. (English) Zbl 1172.92008 Bull. Math. Biol. 71, No. 6, 1520-1541 (2009). MSC: 92C35 92C37 65C20 × Cite Format Result Cite Review PDF Full Text: DOI
Pan, Tsorng-Whay; Wang, Tong Dynamical simulation of red blood cell rheology in microvessels. (English) Zbl 1158.92008 Int. J. Numer. Anal. Model. 6, No. 3, 455-473 (2009). MSC: 92C35 92C37 92C10 65M60 76M10 × Cite Format Result Cite Review PDF Full Text: Link
Chaieb, Sahraoui; Málková, Šárka; Lal, Jyotsana Why the wrinkling transition in partially polymerized membranes is not universal? Fractal-multifractal hierarchy. (English) Zbl 1397.92154 J. Theor. Biol. 251, No. 1, 60-67 (2008). MSC: 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Wiwanitkit, Viroj; Sereemaspun, Amornpun; Rojanathanes, Rojrit Visualization of gold nanoparticle on the microscopic picture of red blood cell: implication for possible risk of nanoparticle exposure. (English) Zbl 1149.92321 Stoch. Environ. Res. Risk Assess. 22, No. 4, 583-585 (2008). MSC: 92C50 92C05 × Cite Format Result Cite Review PDF Full Text: DOI
Escobar, C.; Méndez, F. Unloading oxygen in a capillary vessel under a pathological condition. (English) Zbl 1147.92014 Math. Biosci. 215, No. 2, 127-136 (2008). MSC: 92C50 92C35 35Q92 76Z05 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Yong Hyun; Vandevord, Pamela J.; Lee, Joon Sang Multiphase non-Newtonian effects on pulsatile hemodynamics in a coronary artery. (English) Zbl 1151.76041 Int. J. Numer. Methods Fluids 58, No. 7, 803-825 (2008). MSC: 76Z05 76A05 92C35 × Cite Format Result Cite Review PDF Full Text: DOI
Kornelik, S. E.; Borzenko, E. K.; Grishin, A. N.; Bubenchikov, M. A.; Stoliyarov, V. I. Formation and destruction of the erithrocytes clots in the vessel with local expansion. (Russian. English summary) Zbl 1150.93301 Mat. Model. 20, No. 1, 3-15 (2008). Reviewer: Sergei Georgievich Zhuravlev (Moskva) MSC: 93-02 93C35 76D05 65M06 92C50 35Q30 × Cite Format Result Cite Review PDF Full Text: MNR
Yadav, Manoj K.; Sharma, Subodh K. On the validity of Rayleigh-Gans-Debye type approximations in red blood cell size determination. (English) Zbl 1152.78336 J. Mod. Opt. 55, No. 6, 921-929 (2008). MSC: 78A70 78A45 92C37 × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, Saikat; Balakotaiah, Vemuri; Bidani, Akhil Multiscale model for pulmonary oxygen uptake and its application to quantify hypoxemia in hepatopulmonary syndrome. (English) Zbl 1450.92025 J. Theor. Biol. 244, No. 2, 190-207 (2007). MSC: 92C30 92C32 35Q92 × Cite Format Result Cite Review PDF Full Text: DOI
Sui, Y.; Chew, Y. T.; Low, H. T. A lattice Boltzmann study on the large deformation of red blood cells in shear flow. (English) Zbl 1194.76236 Int. J. Mod. Phys. C 18, No. 6, 993-1011 (2007). MSC: 76M28 92C37 74K15 × Cite Format Result Cite Review PDF Full Text: DOI
Chung, B.; Johnson, P. C.; Popel, A. S. Application of Chimera grid to modelling cell motion and aggregation in a narrow tube. (English) Zbl 1103.92012 Int. J. Numer. Methods Fluids 53, No. 1, 105-128 (2007). MSC: 92C35 76Z05 92C05 65C20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kohsaka, Yoshihito; Nagasawa, Takeyuki On the existence of solutions of the Helfrich flow and its center manifold near spheres. (English) Zbl 1212.49059 Differ. Integral Equ. 19, No. 2, 121-142 (2006). MSC: 49Q10 53A05 58J35 37L10 × Cite Format Result Cite Review PDF
Liu, Wing Kam; Liu, Yaling; Farrell, David; Zhang, Lucy; Wang, X. Sheldon; Fukui, Yoshio; Patankar, Neelesh; Zhang, Yongjie; Bajaj, Chandrajit; Lee, Junghoon; Hong, Juhee; Chen, Xinyu; Hsu, Huayi Immersed finite element method and its applications to biological systems. (English) Zbl 1178.76232 Comput. Methods Appl. Mech. Eng. 195, No. 13-16, 1722-1749 (2006); erratum 195, No. 33-36, 4655 (2006). MSC: 76M10 76Z05 74F10 76W05 92C10 92-08 × Cite Format Result Cite Review PDF Full Text: DOI Link
Tekir, Saliha Durmuş; Çakır, Tunahan; Ülgen, Kutlu Ö. Analysis of enzymopathies in the human red blood cells by constraint-based stoichiometric modeling approaches. (English) Zbl 1118.92026 Comput. Biol. Chem. 30, No. 5, 327-338 (2006). MSC: 92C37 92C40 × Cite Format Result Cite Review PDF Full Text: DOI
Sapuppo, F.; Bucolo, M.; Intaglietta, M.; Fortuna, L.; Arena, P. Cellular nonlinear networks for microcirculation applications. (English) Zbl 1104.92014 Int. J. Circuit Theory Appl. 34, No. 4, 471-488 (2006). MSC: 92C30 68U10 68T10 68T05 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yaling; Liu, Wing Kam Rheology of red blood cell aggregation by computer simulation. (English) Zbl 1102.92010 J. Comput. Phys. 220, No. 1, 139-154 (2006). MSC: 92C35 92C37 65C20 76D05 × Cite Format Result Cite Review PDF Full Text: DOI
Fujisawa, Hironori; Eguchi, Shinto Robust estimation in the normal mixture model. (English) Zbl 1104.62017 J. Stat. Plann. Inference 136, No. 11, 3989-4011 (2006). MSC: 62F10 62F35 65C60 62P10 × Cite Format Result Cite Review PDF Full Text: DOI
Li, J. W.; Wang, Z. C. Existence and global attractivity of positive periodic solutions of a survival model of red blood cells. (English) Zbl 1079.92042 Comput. Math. Appl. 50, No. 1-2, 41-47 (2005). MSC: 92C50 92C37 34C25 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Pozrikidis, C. Resting shape and spontaneous membrane curvature of red blood cells. (English) Zbl 1070.92018 Math. Med. Biol. 22, No. 1, 34-52 (2005). MSC: 92C37 65L10 × Cite Format Result Cite Review PDF Full Text: DOI