Electro-mechanical coupling in a one-dimensional model of heart muscle fiber

被引:7
作者
Katsnelson, Leonid B. [1 ]
Vikulova, Natalia A. [1 ]
Kursanov, Alexander G. [1 ]
Solovyova, Olga E. [1 ]
Markhasin, Vladimir S. [1 ]
机构
[1] Russian Acad Sci, Inst Immunol & Physiol, Ural Branch, Ekaterinburg 620219, Russia
基金
俄罗斯基础研究基金会;
关键词
Cardiac mechano-electric feedback; heterogeneous myocardium; mathematical modelling; CARDIAC-MUSCLE; ELECTROPHYSIOLOGY;
D O I
10.1515/rnam-2014-0022
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We developed a mathematical model that describes heart muscle fiber as a one-dimensional continuous medium of electrically and mechanically coupled cardiomyocytes through which electrical excitation propagates and initiates muscle contraction. The generic model simulates bilateral relations between the electrical and the mechanical activity of cardiomyocytes in the tissue and accounts for both intracellular and intercellular electro-mechanical couplings and mechano-electric feedback mechanisms.
引用
收藏
页码:275 / 284
页数:10
相关论文
共 16 条
[1]  
[Anonymous], 2008, MATH PHYSL
[2]   Models of cardiac tissue electrophysiology: Progress, challenges and open questions [J].
Clayton, R. H. ;
Bernus, O. ;
Cherry, E. M. ;
Dierckx, H. ;
Fenton, F. H. ;
Mirabella, L. ;
Panfilov, A. V. ;
Sachse, F. B. ;
Seemann, G. ;
Zhang, H. .
PROGRESS IN BIOPHYSICS & MOLECULAR BIOLOGY, 2011, 104 (1-3) :22-48
[3]   Axial Stretch of Rat Single Ventricular Cardiomyocytes Causes an Acute and Transient Increase in Ca2+ Spark Rate [J].
Iribe, Gentaro ;
Ward, Christopher W. ;
Camelliti, Patrizia ;
Bollensdorff, Christian ;
Mason, Fleur ;
Burton, Rebecca A. B. ;
Garny, Alan ;
Morphew, Mary K. ;
Hoenger, Andreas ;
Lederer, W. Jonathan ;
Kohl, Peter .
CIRCULATION RESEARCH, 2009, 104 (06) :787-U141
[4]  
IZAKOV VY, 1991, CIRC RES, V69, P1171
[5]   Error bounds for exponential operator splittings [J].
Jahnke, T ;
Lubich, C .
BIT NUMERICAL MATHEMATICS, 2000, 40 (04) :735-744
[6]   Cooperative mechanisms of thin filament activation and their contribution to the myocardial contractile function: Assessment in a mathematical model [J].
Katsnelson L.B. ;
Sulman T.B. ;
Solovyova O.E. ;
Markhasin V.S. .
Biophysics, 2009, 54 (1) :39-46
[7]   Role of myocardial viscoelasticity in disturbances of electrical and mechanical activity in calcium overloaded cardiomyocytes: Mathematical modeling [J].
Katsnelson, Leonid B. ;
Sulman, Tatiana ;
Solovyova, Olga ;
Markhasin, Vladimir S. .
JOURNAL OF THEORETICAL BIOLOGY, 2011, 272 (01) :83-95
[8]   Computational methods for cardiac electromechanics [J].
Kerckhoffs, RCP ;
Healy, SN ;
Usyk, TP ;
McCulloch, AD .
PROCEEDINGS OF THE IEEE, 2006, 94 (04) :769-783
[9]   Effects of mechanosensitive ion channels on ventricular electrophysiology: experimental and theoretical models [J].
Kohl, P ;
Bollensdorff, C ;
Garny, A .
EXPERIMENTAL PHYSIOLOGY, 2006, 91 (02) :307-321
[10]  
Kohl P., 2011, CARDIAC MECHANO ELEC