Computational mimicking of surgical leaflet suturing for virtual aortic valve neocuspidization

IF 0.5 4区 数学 Q4 MATHEMATICS, APPLIED Russian Journal of Numerical Analysis and Mathematical Modelling Pub Date : 2022-11-01 DOI:10.1515/rnam-2022-0023
A. Liogky
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Abstract

Abstract The aortic valve neocuspidization (AVNeo) procedure requires the design of patient-specific neo-cusps which can be made numerically through the neovalve closure modelling. Prior the simulation, it is required to ‘suture virtually’ the neocusps into the patient’s aortic geometry, i.e., to find such state in which the neocusps are placed in the aortic root lumen without intersections of physical surfaces and neo-valve prolapse, and the position of the suture boundary satisfies the boundary conditions. To solve this problem, we tried to mimic neocusps suturing in Ozaki’s operation. As a result, we propose a new algorithm for ‘virtual suturing’ of given neocusps, considered as thin shells. The approach is able to work with both small and large (compared to an optimal size) neocusps and to handle each cusp independently of the others.
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虚拟主动脉瓣新冠手术小叶缝合的计算模拟
摘要主动脉瓣新尖瓣切除术(AVNeo)需要设计特定于患者的新尖瓣,可以通过新瓣膜闭合模型进行数字制作。在模拟之前,需要将新叶“虚拟缝合”到患者的主动脉几何结构中,即找到这样的状态,即新叶被放置在主动脉根腔内,没有物理表面和新瓣膜脱垂的交叉,并且缝合边界的位置满足边界条件。为了解决这个问题,我们尝试在Ozaki的手术中模仿新冠缝合。因此,我们提出了一种新的算法来“虚拟缝合”给定的新冠,被认为是薄壳。该方法能够同时适用于小型和大型(与最佳尺寸相比)新冠,并独立于其他尖端处理每个尖端。
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来源期刊
CiteScore
1.40
自引率
16.70%
发文量
31
审稿时长
>12 weeks
期刊介绍: The Russian Journal of Numerical Analysis and Mathematical Modelling, published bimonthly, provides English translations of selected new original Russian papers on the theoretical aspects of numerical analysis and the application of mathematical methods to simulation and modelling. The editorial board, consisting of the most prominent Russian scientists in numerical analysis and mathematical modelling, selects papers on the basis of their high scientific standard, innovative approach and topical interest. Topics: -numerical analysis- numerical linear algebra- finite element methods for PDEs- iterative methods- Monte-Carlo methods- mathematical modelling and numerical simulation in geophysical hydrodynamics, immunology and medicine, fluid mechanics and electrodynamics, geosciences.
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