RECONSTRUCTING THE HEART

被引:10
作者
HOLDEN, AV
POOLE, MJ
TUCKER, JV
机构
[1] UNIV LEEDS, CTR NONLINEAR STUDIES, LEEDS LS2 9JT, W YORKSHIRE, ENGLAND
[2] UNIV COLL SWANSEA, DEPT COMP SCI, SWANSEA SA2 8PP, W GLAM, WALES
关键词
D O I
10.1016/0960-0779(93)E0051-C
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The electrical activity of the heart can be reconstructed at different levels and time scales; for example, its global rhythmicity and irregularity, propagating action potentials and wave fronts, membrane action potentials and ionic currents, and single channel currents. Various different types of mathematical model are used, including eikonal equations, partial and ordinary differential equations, and coupled lattices of maps or ordinary differential equations. These phenomena and models form a hierarchy in which the organ and tissue physiology results from the cellular biophysics. On making discrete approximations of continuous spaces and times, the range of diverse models of cardiac excitation are all examples of synchronous concurrent algorithms (SCAs) and, as such, they may be studied in a unified way from the point of view of parallel deterministic computation. The theory of SCAs provides mathematical methods that may be used for the decomposition, combination and comparison of different types of model in the reconstruction of a hierarchical model of electrical activity in the heart.
引用
收藏
页码:691 / 704
页数:14
相关论文
共 23 条
[21]   GENERATION AND PROPAGATION OF NORMAL AND ABNORMAL PACEMAKER ACTIVITY IN NETWORK MODELS OF CARDIAC SINUS NODE AND ATRIUM [J].
WINSLOW, RL ;
CAI, DM ;
VARGHESE, A ;
LAI, YC .
CHAOS SOLITONS & FRACTALS, 1995, 5 (3-4) :491-512
[22]   SIMULATING CARDIAC SINUS AND ATRIAL NETWORK DYNAMICS ON THE CONNECTION MACHINE [J].
WINSLOW, RL ;
KIMBALL, AL ;
VARGHESE, A ;
NOBLE, D .
PHYSICA D, 1993, 64 (1-3) :281-298
[23]  
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