Mikrodamarların Sertliğinin Hemodinamik Üzerine Etkisi, bir FSI Analizi

Öz

Kardiyovasküler hastalıkların araştırmasında bilgisayarla modelleme son zamanlarda önemli ilerleme kaydetmiştir. Bu çalışmada; mikrodamar sertliğinin kan basıncı ve kan akışından kaynaklanan çeper kayma gerilmesi (WSS) üzerindeki etkisi, sayısal yöntemle analiz edilmiştir. Çalışmada üç mikrodamar tasarlanmıştır. Tasarlanan bu üç mikrodamar 100, 200 ve 300 mikron çaplarında ve sırasıyla 10, 20 ve 30 mikron kalınlıkta tasarlanmıştır. Daha sonra her mikrodamar için malzeme özelliği olarak 0.4, 0.6 ve 0.8 MPa’lık üç farklı elastisite modülü uygulanmıştır. Mikrodamarlarda ki kan akışı, CFD yöntemi ile analiz edilmiştir. Damar sertliğindeki değişimin kanın uyguladığı basınç üzerindeki etkisini ve ayrıca kan akışının damarın deformasyonu üzerindeki etkisini incelemek için bir sıvı-yapı etkileşimli (FSI) analizi gerçekleştirilmiştir. Analizler sonucunda: Damar sertliğinin artmasının kan basıncını ve WSS'i artırdığını ayrıca mikrodamarın deformasyon kabiliyetini düşürdüğünü göstermiştir. Bu çalışmanın sonuçları, kardiyovasküler hastalıkların özellikle mikron boyutlu damarlarda incelenmelerine ışık tutmuştur.

Anahtar Kelimeler

• Hipertansiyon
• Çeper kayma gerilmesi
• Damar sertliği
• FSI analizi
• CFD analizi

Effect Of Microvessels Stiffness on Hemodynamic; an FSI Analysis

Öz

The exploits of computer modelling in the study of cardiovascular disease have recently gained significant progress. In this study, the effect of microvessels stiffness on blood pressure and blood flow-induced wall shear stress (WSS) was analysed numerically. Three microvessels in diameters of 100, 200 and 300 microns with respectively media thicknesses of 10, 20 and 30 microns, were designed. Then for each model as material properties, the elastic modulus of 0.4, 0.6 and 0.8 MPa was applied. The blood flow within the microvessels was investigated using CFD analysis. A fluid-structure interaction (FSI) multiphysics analysis was performed to observe the effect of vascular stiffness on blood pressure and vice versa the effect of blood flow on the microvessel deformation. The result of the analysis showed that increasing the stiffness of the vessel increases blood pressure and WSS, and as well as causes a decline in its deformation capability. The outcome of this theoretical study shed more light on understanding cardiovascular diseases roots and origin, especially in micron-sized vessels.

Anahtar Kelimeler

• Hypertension
• Wall shear stress
• Vessel stiffness
• FSI analysis
• CFD analysis

Kaynakça

1. Abdul Khader, S. M., Ayachit, A., Pai, B. R., Rao, V. R. K., & Kamath, S. G. (2012). FSI Simulation of Common Carotid under Normal and High Blood Pressures. Advances in Mechanical Engineering, 4, 140579. doi:10.1155/2012/140579
2. Ali, D., & Önel, S. (2018). Effect of Blood Viscosity on Pressure and Shear Stress on the Walls of an Artery with Stenosis. Paper presented at the 2018 Medical Technologies National Congress (TIPTEKNO-Cyprus).
3. Amiri, M. H., Keshavarzi, A., Karimipour, A., Bahiraei, M., Goodarzi, M., & Esfahani, J. A. (2019). A 3-D numerical simulation of non-Newtonian blood flow through femoral artery bifurcation with a moderate arteriosclerosis: investigating Newtonian/non-Newtonian flow and its effects on elastic vessel walls. Heat and Mass Transfer, 55(7), 2037-2047. doi:10.1007/s00231-019-02583-4
4. Boari, G. E., Rizzardi, N., de Ciuceis, C., Platto, C., Paiardi, S., Porteri, E., . . . Rosei, E. A. (2008). Determinants of the structure of resistance-sized arteries in hypertensive patients. Blood Press, 17(4), 204-211. doi:10.1080/08037050802433735
5. Borén, J., Chapman, M. J., Krauss, R. M., Packard, C. J., Bentzon, J. F., Binder, C. J., . . . Ginsberg, H. N. (2020). Low-density lipoproteins cause atherosclerotic cardiovascular disease: pathophysiological, genetic, and therapeutic insights: a consensus statement from the European Atherosclerosis Society Consensus Panel. European Heart Journal, 41(24), 2313-2330. doi:10.1093/eurheartj/ehz962
6. Casas, R., Castro-Barquero, S., Estruch, R., & Sacanella, E. (2018). Nutrition and Cardiovascular Health. International journal of molecular sciences, 19(12), 3988. doi:10.3390/ijms19123988
7. Chong, A. Y., Doyle, B. J., Jansen, S., Ponosh, S., Cisonni, J., & Sun, Z. (2017). Blood flow velocity prediction in aorto-iliac stent grafts using computational fluid dynamics and Taguchi method. Computers in Biology and Medicine, 84, 235-246. doi:https://doi.org/10.1016/j.compbiomed.2017.03.015
8. Dash, D. (2013). Stenting of left main coronary artery stenosis: A to Z. Heart Asia, 5(1), 18-27. doi:10.1136/heartasia-2012-010218

9. de Simone, G., Devereux, R. B., Chinali, M., Best, L. G., Lee, E. T., Welty, T. K., & Stong Heart Study, I. (2005). Association of blood pressure with blood viscosity in American Indians - The Strong Heart Study. Hypertension, 45(4), 625-630. doi:10.1161/01.HYP.0000157526.07977.ec
10. Ebrahimi, A. P. (2009). Mechanical properties of normal and diseased cerebrovascular system. Journal of vascular and interventional neurology, 2(2), 155-162.
11. Flora, G. D., & Nayak, M. K. (2019). A Brief Review of Cardiovascular Diseases, Associated Risk Factors and Current Treatment Regimes. Curr Pharm Des, 25(38), 4063-4084. doi:10.2174/1381612825666190925163827
12. Franklin, S. S., & Wong, N. D. (2013). Hypertension and Cardiovascular Disease: Contributions of the Framingham Heart Study. Global Heart, 8(1), 49-57. doi:https://doi.org/10.1016/j.gheart.2012.12.004
13. Fraser, K. H., Meagher, S., Blake, J. R., Easson, W. J., & Hoskins, P. R. (2008). Characterization of an Abdominal Aortic Velocity Waveform in Patients with Abdominal Aortic Aneurysm. Ultrasound in Medicine & Biology, 34(1), 73-80. doi:https://doi.org/10.1016/j.ultrasmedbio.2007.06.015
14. Fuchs, F. D., & Whelton, P. K. (2020). High Blood Pressure and Cardiovascular Disease. Hypertension, 75(2), 285-292. doi:doi:10.1161/HYPERTENSIONAHA.119.14240
15. Giles, T. D., Sander, G. E., Nossaman, B. D., & Kadowitz, P. J. (2012). Impaired Vasodilation in the Pathogenesis of Hypertension: Focus on Nitric Oxide, Endothelial-Derived Hyperpolarizing Factors, and Prostaglandins. The Journal of Clinical Hypertension, 14(4), 198-205. doi:10.1111/j.1751-7176.2012.00606.x
16. Gómez, S., Vlad, M. D., López, J., & Fernández, E. (2016). Design and properties of 3D scaffolds for bone tissue engineering. Acta Biomaterialia, 42, 341-350. doi:http://dx.doi.org/10.1016/j.actbio.2016.06.032
17. Hoi, Y., Woodward, S. H., Kim, M., Taulbee, D. B., & Meng, H. (2006). Validation of CFD simulations of cerebral aneurysms with implication of geometric variations. Journal of Biomechanical Engineering, 128(6), 844-851. doi:10.1115/1.2354209
18. Kallekar, L., Viswanath, C., & Anand, M. (2017). Effect of Wall Flexibility on the Deformation during Flow in a Stenosed Coronary Artery. Fluids, 2(2). doi:10.3390/fluids2020016
19. Katt, M. E., Linville, R. M., Mayo, L. N., Xu, Z. S., & Searson, P. C. (2018). Functional brain-specific microvessels from iPSC-derived human brain microvascular endothelial cells: the role of matrix composition on monolayer formation. Fluids and Barriers of the CNS, 15(1), 7. doi:10.1186/s12987-018-0092-7
20. Lipp, S. N., Niedert, E. E., Cebull, H. L., Diorio, T. C., Ma, J. L., Rothenberger, S. M., . . . Goergen, C. J. (2020). Computational Hemodynamic Modeling of Arterial Aneurysms: A Mini-Review. Frontiers in Physiology, 11, 454-454. doi:10.3389/fphys.2020.00454
21. Lozano, R., Naghavi, M., Foreman, K., Lim, S., Shibuya, K., Aboyans, V., . . . Memish, Z. A. (2012). Global and regional mortality from 235 causes of death for 20 age groups in 1990 and 2010: a systematic analysis for the Global Burden of Disease Study 2010. Lancet, 380(9859), 2095-2128. doi:10.1016/s0140-6736(12)61728-0
22. Luo, K., Jiang, W., Yu, C., Tian, X., Zhou, Z., & Ding, Y. (2019). Fluid–Solid Interaction Analysis on Iliac Bifurcation Artery: A Numerical Study. International Journal of Computational Methods, 16(07), 1850112. doi:10.1142/s0219876218501128 Markwald, R. R., Norris, R. A., Moreno-Rodriguez, R., & Levine, R. A. (2010). Developmental basis of adult cardiovascular diseases: valvular heart diseases. Annals of the New York Academy of Sciences, 1188, 177-183. doi:10.1111/j.1749-6632.2009.05098.x
23. Miller, M. R., & Newby, D. E. (2019). Air pollution and cardiovascular disease: car sick. Cardiovascular Research, 116(2), 279-294. doi:10.1093/cvr/cvz228
24. Mittal, R., Seo, J. H., Vedula, V., Choi, Y. J., Liu, H., Huang, H. H., . . . George, R. T. (2016). Computational modeling of cardiac hemodynamics: Current status and future outlook. Journal of Computational Physics, 305, 1065-1082. doi:https://doi.org/10.1016/j.jcp.2015.11.022
25. Nilsson, K. F., Gozdzik, W., Zielinski, S., Ratajczak, K., Goranson, S. P., Rodziewicz, S., . . . Frostell, C. (2020). Pulmonary Vasodilation by Intravenous Infusion of Organic Mononitrites Of 1,2-Propanediol in Acute Pulmonary Hypertension Induced by Aortic Cross Clamping and Reperfusion: A Comparison With Nitroglycerin in Anesthetized Pigs. Shock, 54(1), 119-127. doi:10.1097/shk.0000000000001436
26. O'Donnell, M. J., Xavier, D., Liu, L., Zhang, H., Chin, S. L., Rao-Melacini, P., . . . Yusuf, S. (2010). Risk factors for ischaemic and intracerebral haemorrhagic stroke in 22 countries (the INTERSTROKE study): a case-control study. Lancet, 376(9735), 112-123. doi:10.1016/s0140-6736(10)60834-3
27. Okada, S., Fukunaga, S., Ohta, H., Furuta, T., Hirano, R., Motonaga, T., & Ishikawa, Y. (2020). Cerebral Insufficiency Caused by Diazoxide in a Premature Neonate with Congenital Hyperinsulinism. Neuropediatrics, 51(03), 211-214. doi:10.1055/s-0039-3400975
28. Rapsomaniki, E., Timmis, A., George, J., Pujades-Rodriguez, M., Shah, A. D., Denaxas, S., . . . Hemingway, H. (2014). Blood pressure and incidence of twelve cardiovascular diseases: lifetime risks, healthy life-years lost, and age-specific associations in 1·25 million people. Lancet, 383(9932), 1899-1911. doi:10.1016/S0140-6736(14)60685-1
29. Ren, R., Covassin, N., Yang, L., Li, Y., Zhang, Y., Zhou, J., . . . Tang, X. (2018). Objective but Not Subjective Short Sleep Duration Is Associated With Hypertension in Obstructive Sleep Apnea. Hypertension, 72(3), 610-617. doi:10.1161/HYPERTENSIONAHA.118.11027
30. Selmi, M., Belmabrouk, H., & Bajahzar, A. (2019). Numerical Study of the Blood Flow in a Deformable Human Aorta. Applied Sciences-Basel, 9(6), 11. doi:10.3390/app9061216
31. Shibeshi, S. S., & Collins, W. E. (2005). The Rheology of Blood Flow in a Branched Arterial System. Appl Rheol, 15(6), 398-405. doi:10.1901/jaba.2005.15-398
32. Siogkas, P. K., Papafaklis, M. I., Sakellarios, A. I., Stefanou, K. A., Bourantas, C. V., Athanasiou, L. S., . . . Fotiadis, D. I. (2015). Patient-specific simulation of coronary artery pressure measurements: an in vivo three-dimensional validation study in humans. Biomed Research International, 2015, 628416-628416. doi:10.1155/2015/628416
33. Soltani, M., & Chen, P. (2013). Numerical Modeling of Interstitial Fluid Flow Coupled with Blood Flow through a Remodeled Solid Tumor Microvascular Network. Plos One, 8(6), e67025. doi:10.1371/journal.pone.0067025
34. Urquiza, S. A., Blanco, P. J., Vénere, M. J., & Feijóo, R. A. (2006). Multidimensional modelling for the carotid artery blood flow. Computer Methods in Applied Mechanics and Engineering, 195(33), 4002-4017. doi:https://doi.org/10.1016/j.cma.2005.07.014
35. Valencia, A., Ledermann, D., Rivera, R., Bravo, E., & Galvez, M. (2008). Blood flow dynamics and fluid-structure interaction in patient-specific bifurcating cerebral aneurysms. International Journal for Numerical Methods in Fluids, 58(10), 1081-1100. doi:10.1002/fld.1786
36. Vardhan, M., Gounley, J., Chen, S. J., Kahn, A. M., Leopold, J. A., & Randles, A. (2019). The importance of side branches in modeling 3D hemodynamics from angiograms for patients with coronary artery disease. Scientific Reports, 9(1), 8854. doi:10.1038/s41598-019-45342-5
37. Wang, Y. F., Quaini, A., & Canic, S. (2018). A Higher-Order Discontinuous Galerkin/Arbitrary Lagrangian Eulerian Partitioned Approach to Solving Fluid-Structure Interaction Problems with Incompressible, Viscous Fluids and Elastic Structures. Journal of Scientific Computing, 76(1), 481-520. doi:10.1007/s10915-017-0629-y
38. Wood, N. B. (1999). Aspects of Fluid Dynamics Applied to the Larger Arteries. Journal of Theoretical Biology, 199(2), 137-161. doi:https://doi.org/10.1006/jtbi.1999.0953
39. Wu, C.-Y., Hu, H.-Y., Chou, Y.-J., Huang, N., Chou, Y.-C., & Li, C.-P. (2015). High Blood Pressure and All-Cause and Cardiovascular Disease Mortalities in Community-Dwelling Older Adults. Medicine, 94(47), e2160-e2160. doi:10.1097/MD.0000000000002160
40. Yamagishi, K., Sawachi, S., Tamakoshi, A., Iso, H., & Group, f. t. J. S. (2019). Blood pressure levels and risk of cardiovascular disease mortality among Japanese men and women: the Japan Collaborative Cohort Study for Evaluation of Cancer Risk (JACC Study). Journal of Hypertension, 37(7), 1366-1371. doi:10.1097/hjh.0000000000002073
41. Yoganathan, A. P., Cape, E. G., Sung, H. W., Williams, F. P., & Jimoh, A. (1988). Review of hydrodynamic principles for the cardiologist: applications to the study of blood flow and jets by imaging techniques. J Am Coll Cardiol, 12(5), 1344-1353. doi:10.1016/0735-1097(88)92620-4
42. Zhang, J. M., Zhong, L., Su, B., Wan, M., Yap, J. S., Tham, J. P., . . . Tan, R. S. (2014). Perspective on CFD studies of coronary artery disease lesions and hemodynamics: a review. Int J Numer Method Biomed Eng, 30(6), 659-680. doi:10.1002/cnm.2625