偏心肥厚影响心室纤维机电响应的计算模型

F. Bianco, P. C. Franzone, S. Scacchi, L. Fassina
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引用次数: 0

摘要

摘要本文采用一维有限元强耦合模型研究了偏心肥厚对单个心肌心室纤维电力学的影响。电流流模型写在参考构型中,其特征是两种几何反馈,即传导反馈和对流反馈,以及由拉伸激活通道引起的机电反馈。首先,在等长模拟的情况下,研究了这种反馈对健康纤维和肥厚纤维的影响。当忽略两个纤维的一个或多个反馈时,没有发现相关的差异。然后,在研究光纤的机电响应时考虑所有反馈。在动作电位持续时间和传导速度方面,健康纤维和肥厚纤维的等长试验结果没有明显差异。长度-张力关系显示拉伸增加,张力峰值降低。由后加载等压和快速释放试验得出的张力-速度关系表明,在较小的后加载时收缩速度值较高。此外,在等张收缩过程中获得了更高的最大缩短。总之,我们的模拟结果在预测偏心肥厚纤维的机电行为方面是创新的。
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Computational modeling of the electromechanical response of a ventricular fiber affected by eccentric hypertrophy
Abstract The aim of this work is to study the effects of eccentric hypertrophy on the electromechanics of a single myocardial ventricular fiber by means of a one-dimensional finite-element strongly-coupled model. The electrical current ow model is written in the reference configuration and it is characterized by two geometric feedbacks, i.e. the conduction and convection ones, and by the mechanoelectric feedback due to stretchactivated channels. First, the influence of such feedbacks is investigated for both a healthy and a hypertrophic fiber in case of isometric simulations. No relevant discrepancies are found when disregarding one or more feedbacks for both fibers. Then, all feedbacks are taken into account while studying the electromechanical responses of fibers. The results from isometric tests do not point out any notable difference between the healthy and hypertrophic fibers as regards the action potential duration and conduction velocity. The length-tension relationships show increased stretches and reduced peak values for tension instead. The tension-velocity relationships derived from afterloaded isotonic and quick- release tests depict higher values of contraction velocity at smaller afterloads. Moreover, higher maximum shortenings are achieved during the isotonic contraction. In conclusion, our simulation results are innovative in predicting the electromechanical behavior of eccentric hypertrophic fibers.
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
3
审稿时长
16 weeks
期刊介绍: Communications in Applied and Industrial Mathematics (CAIM) is one of the official journals of the Italian Society for Applied and Industrial Mathematics (SIMAI). Providing immediate open access to original, unpublished high quality contributions, CAIM is devoted to timely report on ongoing original research work, new interdisciplinary subjects, and new developments. The journal focuses on the applications of mathematics to the solution of problems in industry, technology, environment, cultural heritage, and natural sciences, with a special emphasis on new and interesting mathematical ideas relevant to these fields of application . Encouraging novel cross-disciplinary approaches to mathematical research, CAIM aims to provide an ideal platform for scientists who cooperate in different fields including pure and applied mathematics, computer science, engineering, physics, chemistry, biology, medicine and to link scientist with professionals active in industry, research centres, academia or in the public sector. Coverage includes research articles describing new analytical or numerical methods, descriptions of modelling approaches, simulations for more accurate predictions or experimental observations of complex phenomena, verification/validation of numerical and experimental methods; invited or submitted reviews and perspectives concerning mathematical techniques in relation to applications, and and fields in which new problems have arisen for which mathematical models and techniques are not yet available.
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