Mathematical Cardiac Electrophysiology
Mathematical Cardiac Electrophysiology
复制标题
DOI：
10.1007/978-3-319-04801-7
复制
发表时间：
2014-01-01
期刊：
影响因子：
--
通讯作者：
Scacchi, S.
中科院分区：
文献类型：
--
作者：
Franzone, P. C.;Pavarino, L. F.;Scacchi, S.
这本书涵盖了计算心电学中的主要数学和数字模型，从心脏离子通道的微观膜模型到宏观的双域、单域、Ekonal模型和心源表示。这些先进的多尺度和非线性模型描述了从细胞水平到体表的心脏生物电活动，并被用于心电学的正问题和逆问题。这本书还涵盖了有效地进行大规模心脏模拟所需的高级数值技术，包括时间和空间离散、解耦和算子分裂技术、并行有限元解算器。这些技术被用于三维心脏模拟，阐明了激发机制、各向异性对激发和复极化波前的影响、正常组织和病理组织中的电信号形态以及一些折返现象。该书的总体目标是严格介绍计算心电图学的数学和数字基础，说明目前这一快速增长的领域的研究进展，该领域位于数学生理学、生物工程和计算生物医学的交叉点。本书面向应用数学、科学计算、生物工程、电生理学和心脏病学领域的研究生和研究人员。
This book covers the main mathematical and numerical models in computational electrocardiology, ranging from microscopic membrane models of cardiac ionic channels to macroscopic bidomain, monodomain, eikonal models and cardiac source representations. These advanced multiscale and nonlinear models describe the cardiac bioelectrical activity from the cell level to the body surface and are employed in both the direct and inverse problems of electrocardiology. The book also covers advanced numerical techniques needed to efficiently carry out large-scale cardiac simulations, including time and space discretizations, decoupling and operator splitting techniques, parallel finite element solvers. These techniques are employed in 3D cardiac simulations illustrating the excitation mechanisms, the anisotropic effects on excitation and repolarization wavefronts, the morphology of electrograms in normal and pathological tissue and some reentry phenomena. The overall aim of the book is to present rigorously the mathematical and numerical foundations of computational electrocardiology, illustrating the current research developments in this fast-growing field lying at the intersection of mathematical physiology, bioengineering and computational biomedicine. This book is addressed to graduate student and researchers in the field of applied mathematics, scientific computing, bioengineering, electrophysiology and cardiology.