Simulation of erythrocyte deformation and drug delivery using the Boltzmann network method
Keywords:
Red blood cell, Boltzmann network method, Immersion boundary, Blood vessel occlusion, Drug delivery.Abstract
In this paper, a combination of the Boltzmann network method and the immersion boundary simulates the behavior and deformation of erythrocytes with different primary shapes. Initially, erythrocytes were simulated with an elliptical geometry in a shear flow, and the deformation obtained was compared with the results of other researchers. Then, different geometries of red blood cells in shear flow and during their movement and displacement, simulation, and their gradual deformation have been observed and analyzed. In the following, the flow of fluid inside a blood vessel is modeled, and with its help, phenomena such as blockage of the blood vessel and drug delivery are studied. The results show that damage to the artery wall or deposition of fat masses will cause vortex blood flow and blood clot formation. Also, the quality of drug injection in this two-pronged artery is very influential in how it is delivered. Finally, comparing the results with the results of others shows that this simulation has acceptable accuracy
References
Peskin C.S., Flow Patterns around Heart Valves: A Digital Computer Method for Solving the Equations of Motion, PhD Thesis, Physiology, Albert Einstein College of Medicine. Univ. Microfilms, Vol. 378, pp. 72-80, 1972.
Esfahani J. A., Alinejad J., Lattice Boltzmann simulation of viscous-fluid flow and conjugate heat transfer in a rectangular cavity with a heated moving wall, Thermophysics and Aeromechanics, Vol. 20, No. 5, pp. 613-620, 2013.
Esfahani J. A., Alinejad J., Entropy generation of conjugate natural convection in enclosures: the Lattice Boltzmann Method, Journal of Thermophysics and Heat Transfer, Vol. 27, No. 3, pp. 498-505, 2013.
Shu C., Peng, Y., and Chew Y. T., Simulation of natural convection in a square cavity by Taylor series expansion and least squares-based lattice Boltzmann method, International Journal of Modern Physics, Vol. 13, pp.1 399–1414, 2002.
D'Orazio A., Corcione M., and Celata G. P., Application to natural convection enclosed flows of a lattice Boltzmann BGK model coupled with a general purpose thermal boundary condition, International Journal of Thermal Sciences, Vol. 43, pp. 575–586, 2004.
Urquiza S.A., Blanco P.J., Vénere M.J. and Feijóo R.A., multidimensional modeling for the carotid blood flow, Comput. Meth. Appl. Mech. Engrg., Vol. 195, pp. 4002–4017, 2006.
Botnar R.H., Rappitsch G., Scheidegger M.B., Liepsch D., Perktold K., Boesiger P., Mass Transfer, Univ. of Calgary Press, Calgary 2007.
Deschamps T., Schwartz P, Trebotichc D, Colella P., Saloner D., Malladi R., Vessel segmentation and blood flow simulation using Level-Setsand Embedded Boundary methods, International Congress Series 1268, pp. 75-80, 2004.
Guo Z., and Zhao T. S., Lattice Boltzmann model for incompressible flows through porous media, Physical Review, Vol. E66, pp. 036304, 2002.
Mei R., Yu D., Shyy W., Luo L. Sh., Force evaluation in the lattice Boltzmann method involving curved geometry, Phys. Rev. Vol. E65, pp. 1-14, 2002.
Chopard B., and Luthi P. O., Lattice Boltzmann computations and applications to physics" Theoretical Computational Physics, Vol. 217, pp. 115-130, 1999.
Nourgaliev R. R., Dinh T. N., TheofanousT. G., and Joseph D., The lattice Boltzmann equation method: theoretical interpretation, numerics and implications, International Journal of Multiphase Flow, Vol. 29, No. 1, pp. 117–169, 2003.
Yu D., Mei R., Luo L. S., and Shyy W., Viscous flow computations with the method of lattice Boltzmann equation, Progress in Aerospace Science, Vol. 39, No. 5, pp. 329–367, 2003.
Mohammad A. A., Applied Lattice Boltzmann Method for Transport Phenomena Momentum Heat Mass Transfer, Univ. of Calgary Press, Calgary 2007.
Aghajani D. M., Farhadi M., and Sedighi K., Effect of heater location on heat transfer and entropy generation in the cavity using the lattice Boltzmann method, Heat Transfer Research, Vol. 40, pp. 521536, 2009.
Mezrhab A., Jami M., Abid C., Bouzidi M., and Lallemand P., Lattice Boltzmann modeling of natural convection in an inclined square enclosure with partitions attached to its cold wall, International Journal of Heat of Fluid Flow, Vol. 27, pp. 456-465, 2006.
He, X., and Luo, L. S., Lattice Boltzmann model for the incompressible Navier-Stokes equations,†Journal of Statistical Physics, Vol. 88, Nos. 3–4, pp.927–944, 1997.
Thürey, N., and Rüde, U., Stable free surface flows with the lattice Boltzmann method on adaptively coarsened grids, Computing and Visualization in Science, Vol. 12, pp. 247-263, 2009.
Bagchi, P., Johnson, P. C., Popel, A. S., Computational Fluid Dynamic Simulation of Aggregation of Deformable Cells in a Shear Flow, J. Biomech. Engng., Vol. 127, pp. 1070-1080, 2005.
Steenhoven, A.A., van de Vossea, F.N., Rindt, C.C.M., Janssenu, J.D., Renemanb, R.S., Experimental and Numerical Analysis of Carotid Artery Blood Flow, Applications to Atherogenesis and Clinical Medicine, Monogr Atheroscler. Basel, Karger, Vol. 15, pp. 250-260,1990.
Downloads
Additional Files
Published
Issue
Section
License
JBCS Publication Ethics
JBCS is committed to ensure the publication process follows specific academic ethics. Hence, Authors, Reviewers and Editors are required to conform to standards of ethical guidelines.
Authors
Authors should discuss objectively the significance of research work, technical detail and relevant references to enable others to replicate the experiments. JBCS do not accept fraudulent or inaccurate statements that may constitute towards unethical conduct.
Authors should ensure the originality of their works. In cases where the work and/or words of others have been used, appropriate acknowledgements should be made. JBCS do not accept plagiarism in all forms that constitute towards unethical publishing of an article.
This includes simultaneous submission of the same manuscript to more than one journal. Corresponding author is responsible for the full consensus of all co-authors in approving the final version of the paper and its submission for publication.
Reviewers
Reviewers of JBCS treat manuscripts received for review as confidential documents. Therefore, Reviewers must ensure the confidentiality and should not use privileged information and/or ideas obtained through peer review for personal advantage.
Reviews should be conducted based on academic merit and observations should be formulated clearly with supporting arguments. In cases where selected Reviewer feels unqualified to review a manuscript, Reviewer should notify the editor and excuse himself from the review process in TWO (2) weeks time from the review offer is made.
In any reasonable circumstances, Reviewers should not consider to evaluate manuscripts if they have conflicts of interest (i.e: competitive, collaborative and/or other connections with any of the authors, companies, or institutions affiliated to the papers).
Editors 
Editors should evaluate manuscripts exclusively based on their academic merit. JBCS strictly do not allow editors to use unpublished information of authors  without the written consent of the author. Editors are required to take appropriate responsive actions if ethical complaints have been presented concerning a submitted manuscript or published paper.
CONFLICT OF INTEREST
Journal of Biomedical and Clinical Sciences requires authors to declare all competing interests in relation to their work. All submitted manuscripts must include a ‘competing interests section at the end of the manuscript listing all competing interests (financial and non-financial). Where authors have no competing interests, the statement should read ,The authors have declared that no competing interests exist. Editors may ask for further information relating to competing interests.
Editors and reviewers are also required to declare any competing interests and will be excluded from the peer review process if a competing interest exists. Competing interests may be financial or non-financial. A competing interest exists when the authors interpretation of data or presentation of information may be influenced by their personal or financial relationship with other people or organizations. Authors should disclose any financial competing interests but also any non-financial competing interests that may cause them embarrassment if they were to become public after the publication of the article.
HUMAN AND ANIMAL RIGHTS
All research must have been carried out within an appropriate ethical framework. If there is suspicion that work has not taken place within an appropriate ethical framework, Editors will follow the Misconduct policy and may reject the manuscript, and/or contact the author(s) institution or ethics committee. On rare occasions, if the Editor has serious concerns about the ethics of a study, the manuscript may be rejected on ethical grounds, even if approval from an ethics committee has been obtained.
Research involving human subjects, human material, or human data, must have been performed in accordance with the Declaration of Helsinki and must have been approved by an appropriate ethics committee. A statement detailing this, including the name of the ethics committee and the reference number where appropriate, must appear in all manuscripts reporting such research. Further information and documentation to support this should be made available to Editors on request.
Experimental research on vertebrates or any regulated invertebrates must comply with institutional, national, or international guidelines, and where available should have been approved by an appropriate ethics committee. The Basel Declaration outlines fundamental principles to adhere to when conducting research in animals and the International Council for Laboratory Animal Science (ICLAS) has also published ethical guidelines.
A statement detailing compliance with relevant guidelines (e.g. the revised Animals (Scientific Procedures) Act 1986 in the UK and Directive 2010/63/EU in Europe) and/or ethical approval (including the name of the ethics committee and the reference number where appropriate) must be included in the manuscript. The Editor will take account of animal welfare issues and reserves the right to reject a manuscript, especially if the research involves protocols that are inconsistent with commonly accepted norms of animal research. In rare cases, Editors may contact the ethics committee for further information.
INFORMED CONSENT 
For all research involving human subjects, informed consent to participate in the study should be obtained from participants (or their parent or guardian in the case of children under 16) and a statement to this effect should appear in the manuscript, this includes to all manuscripts that include details, images, or videos relating to individual participants.
DATA SHARING POLICY
JBCS strongly encourages that all datasets on which the conclusions of the paper rely should be available to readers. We encourage authors to ensure that their datasets are either deposited in publicly available repositories (where available and appropriate) or presented in the main manuscript or additional supporting files, in machine-readable format (such as spreadsheets rather than PDFs) whenever possible
Authors who do not wish to share their data must state that data will not be shared, and give the reason.
COPYRIGHT NOTICE
The JBCS retains the copyright of published manuscripts under the terms of the Copyright Transfer Agreement. However, the journal permits unrestricted use, distribution, and reproduction in any medium, provided permission to reuse, distribute and reproduce is obtained from the Journal's Editor and the original work is properly cited.
While the advice and information in this journal are believed to be true and accurate on the date of its going to press, neither the authors, the editors, nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.
Copyright (c) 2023 Journal of Biomedical and Clinical Sciences (JBCS)
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.



