Numerical analysis of blood flow in abdominal aortic aneurysm using finite volume method

https://doi.org/10.24042/djm.v5i2.9928

Arif Fatahillah, Azza Liarista Anggraini, Susi Setiawani

Abstract


There is a deadly cardiovascular disease that can cause swelling of the Abdominal Aorta. This disease is known as Abdominal Aortic Aneurysm (AAA). AAA is believed to be a degenerative process caused by genetic factors, gender, body weight, and age. Changes in collagen and elastin in the aortic wall are the cause of the degeneration process. Therefore, it will cause dilatation of the aortic wall. Swelling of the aortic blood vessels will affect the blood flow velocity in the aortic blood vessels. This research aims to analyze the velocity of blood flow in the Abdominal Aortic Aneurysm based on swelling diameter, proximal neck length, and aneurysm channel length using Computational Fluids Dynamics (CFD). The blood flow velocity was modeled using mathematical language based on mass continuity equations and momentum equations.  Then the finite volume method was one method to solve the mathematical model. MATLAB and ANSYS FLUENT software were used to simulate the velocity of blood flow analysis. The results of the research were shown that the larger the diameter and swelling channel length, the smaller the velocity of blood flow produced. Then, the greater the length of the proximal neck, the faster the resulting blood flow will be.


Keywords


Abdominal Aortic Aneurysm; Blood Flow Velocity; Finite Volume Method

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Algabri, Y. A., Rookkapan, S., & Chatpun, S. (2017). Three-dimensional finite volume modelling of blood flow in simulated angular neck abdominal aortic aneurysm. IOP Conference Series: Materials Science and Engineering, 243(1). https://doi.org/10.1088/1757-899X/243/1/012003

Chaikof, E. L., Dalman, R. L., Eskandari, M. K., Jackson, B. M., Lee, W. A., Mansour, M. A., Mastracci, T. M., Mell, M., Murad, M. H., Nguyen, L. L., Oderich, G. S., Patel, M. S., Schermerhorn, M. L., & Starnes, B. W. (2018). Society for vascular surgery ò document the society for vascular surgery practice guidelines on the care of patients with an abdominal aortic aneurysm. Journal of Vascular Surgery, 67(1), 2-77.e2. https://doi.org/10.1016/j.jvs.2017.10.044

Chung, M., Radacsi, N., Robert, C., McCarthy, E. D., Callanan, A., Conlisk, N., Hoskins, P. R., & Koutsos, V. (2018). On the optimization of low-cost FDM 3D printers for accurate replication of patient-specific abdominal aortic aneurysm geometry. 3D Printing in Medicine, 4(1), 0–9. https://doi.org/10.1186/s41205-017-0023-2

Fatahillah, A., Setiawan, T. B., & Sholihin, A. (2021). Numerical analysis of ice freezing processes of block ice production in a brine tank factory using the finite volume method. Journal of Physics: Conference Series, 1832(1). https://doi.org/10.1088/1742-6596/1832/1/012023

Fatahillah, A., Setiawani, S., Mandala, A. S., Suharto, S., Murtikusuma, R. P., Safrida, L. N., Hussen, S., & Adawiyah, R. (2019). Numerical analysis of blood flow in intracranial artery stenosis affected by ischemic stroke using finite element method. Journal of Physics: Conference Series, 1218(1). https://doi.org/10.1088/1742-6596/1218/1/012005

Fatahillah, Arif. (2014). Analisis numerik profil sedimentasi pasir pada pertemuan dua sungai berbantuan software fluent. Kadikma, 5(3), 35–40.

Ferda, J., Baxa, J., Ferdova, E., & Kucera, R. (2019). Abdominal aortic aneurysm in prostate cancer patients : the “ road map ” from incidental detection to advanced predictive , preventive , and personalized approach utilizing common follow-up for both pathologies. 415–423.

Hollingsworth, A. C., Dawkins, C., Wong, P. F., Walker, P., Milburn, S., & Mofidi, R. (2019). Aneurysm morphology is a more significant predictor of survival than hardman’s index in patients with ruptured or acutely symptomatic abdominal aortic aneurysms. Annals of Vascular Surgery, 58, 222–231. https://doi.org/10.1016/j.avsg.2018.10.018

Jamtani, I., & Jayadi, A. (2019). Hubungan anatomi aneurisma dengan endoleak tipe 1a pada reparasi aneurisma aorta abdominalis (evar). I. Jamtani, A. Jayadi, 47(1).

Jonuarti, R. (2013). Analisis aliran darah dalam stenosis arteri menggunakan model fluida casson dan power-law. Jurnal Ilmu Dasar, 14(2), 73–78.

Komutrattananont, P., Mahakkanukrauh, P., & Das, S. (2019). Morphology of the human aorta and age-related changes: Anatomical facts. Anatomy and Cell Biology, 52(2), 109–114. https://doi.org/10.5115/acb.2019.52.2.109

Kontopodis, N., Galanakis, N., Antoniou, S. A., Tsetis, D., Ioannou, C. V., Veith, F. J., Powell, J. T., & Antoniou, G. A. (2020). Meta-analysis and meta-regression analysis of outcomes of endovascular and open repair for ruptured abdominal aortic aneurysm. European Journal of Vascular and Endovascular Surgery, 59(3), 399–410. https://doi.org/10.1016/j.ejvs.2019.12.023

Kumar, S., & Deoghare, A. B. (2018). Modelling of human abdominal artery for blood flow analysis. Materials Today: Proceedings, 5(5), 12877–12885. https://doi.org/10.1016/j.matpr.2018.02.273

Madinda, D., Fatahillah, A., & Setiawani, S. (2019). Pemodelan matematika aliran udara pada bronkus akibat penyakit asma bronkial. KadikmA, 10(2), 20–28.

Mangarova, D. B., Brangsch, J., Mohtashamdolatshahi, A., Kosch, O., Paysen, H., Wiekhorst, F., Klopfleisch, R., Buchholz, R., Karst, U., Taupitz, M., Schnorr, J., Hamm, B., & Makowski, M. R. (2020). Ex vivo magnetic particle imaging of vascular inflammation in abdominal aortic aneurysm in a murine model. Scientific Reports, 10(1), 1–11. https://doi.org/10.1038/s41598-020-69299-y

Masyhudi, M. A., Fatahillah, A., & Setiawan, T. B. (2018). Pemodelan matematika penyebaran polutan udara di kawasan pltu menggunakan metode volume hingga. Kadikma, 9(3), 194–203.

Permatasari, D., Fatahillah, A., & Setiawani, S. (2020). Pemodelan matematika aliran udara pada bronkus akibat penyakit bronkitis kronis. KadikmA, 11(1), 38. https://doi.org/10.19184/kdma.v11i1.17914

Richard, D. X., Armstrong, A., Squire, G., Rogers, A., X, P. D. X., Hinchliffe, J., X, F. D. X., & Ronelle, D. X. (2018). Type of anesthesia for endovascular abdominal aortic aneurysm repair. Journal of Cardiothoracic and Vascular Anesthesia, 000. https://doi.org/10.1053/j.jvca.2018.09.018

Ritonga, J., & Suryana, D. (2019). Perbandingan kecepatan konvergensi akar persamaan non linier metode titik tetap dengan metode newton raphson menggunakan matlab. Informatika, Jurnal Informasi, Sistem No, Volume X I, XI(2), 51–64.

Spanos, K., & Eckstein, H. (2020). Small abdominal aortic aneurysms are not all the same. 71(3), 205–207. https://doi.org/10.1177/0003319719862965

Spanos, K., Nana, P., Kouvelos, G., Mpatzalexis, K., Matsagkas, M., & Giannoukas, A. D. (2020). Anatomical differences between intact and ruptured large abdominal aortic aneurysms. Journal of Endovascular Therapy, 27(1), 117–123. https://doi.org/10.1177/1526602819886568

Trenner, M., Kuehnl, A., Reutersberg, B., Salvermoser, M., & Eckstein, H. (2018). Nationwide analysis of risk factors for in-hospital mortality in patients undergoing abdominal aortic aneurysm repair. 379–387. https://doi.org/10.1002/bjs.10714

Ulug, P., Powell, J. T., Martinez, M. A. M., Ballard, D. J., & Filardo, G. (2020). Surgery for small asymptomatic abdominal aortic aneurysms. Cochrane Database of Systematic Reviews, 2020(7). https://doi.org/10.1002/14651858.CD001835.pub5

Vinoth, R., Kumar, D., Adhikari, R., Vijayapradeep, S., Geetha, K., Ilavarasi, R., & Mahalingam, S. (2019). Steady and transient flow CFD simulations in an aorta model of normal and aortic aneurysm subjects. Lecture Notes in Electrical Engineering, 506, 29–43. https://doi.org/10.1007/978-3-319-91659-0_3

Wiliani, N., & Ikhsan, F. (2018). Implementasi metode gauss terhadap perhitungan waktu lampu lalu lintas. Incomtech, 7(1).

Yazbek, G., Nishinari, K., Krutman, M., Wolosker, N., Zottelle Bomfim, G. A., Pignataro, B. S., Fonseca, I. Y. I., Cavalcante, R. N., & Teivelis, M. P. (2016). Treatment of abdominal aortic aneurysms in cancer patients. Annals of Vascular Surgery, 30, 159–165. https://doi.org/10.1016/j.avsg.2015.07.043




DOI: https://doi.org/10.24042/djm.v5i2.9928

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