Defontaine A, Hernández A, Carrault G
LTSI-INSERM, Université de Rennes 1,Campus de Beaulieu, Bât 22,35042 Rennes Cedex, France.
Acta Biotheor. 2004;52(4):273-90. doi: 10.1023/B:ACBI.0000046598.69328.03.
Cardiovascular modelling has been a major research subject for the last decade. Different cardiac models have been developed at a cellular level as well as at the whole organ level. Most of these models are defined by a comprehensive cellular modelling using continuous formalisms or by a tissue-level modelling often based on discrete formalisms. Nevertheless, both views still suffer from difficulties that reduce their clinical applications: the first approach requires heavy computational resources while the second one is not able to reproduce certain pathologies. This paper presents an original methodology trying to gather advantages from both approaches, by means of a hybrid model mixing discrete and continuous formalisms. This method has been applied to define a hybrid model of cardiac action potential propagation on a 2D grid of endocardial cells, combining cellular automata and a set of cells defined by the Beeler-Reuter model. For simulations under physiological and ischemic conditions, results show that the action potential propagation as well as electrogram reconstructions are consistent with clinical diagnosis. Finally, the advantage of the proposed approach is discussed within the frame of cardiac modelling and simulation.
在过去十年中，心血管建模一直是一个主要的研究课题。已经在细胞水平以及整个器官水平开发了不同的心脏模型。这些模型大多通过使用连续形式主义的综合细胞建模或通常基于离散形式主义的组织水平建模来定义。然而，这两种观点仍然存在降低其临床应用的困难：第一种方法需要大量的计算资源，而第二种方法无法再现某些病理情况。本文提出了一种原始方法，试图通过混合离散和连续形式主义的混合模型从这两种方法中获取优势。该方法已应用于在二维心内膜细胞网格上定义心脏动作电位传播的混合模型，结合了细胞自动机和由Beeler-Reuter模型定义的一组细胞。对于生理和缺血条件下的模拟，结果表明动作电位传播以及心电图重建与临床诊断一致。最后，在心脏建模和模拟的框架内讨论了所提出方法的优势。
