Sensitivity analysis of cardiac electrophysiological models using polynomial chaos

被引:5
作者
Geneser, Sarah E. [1 ]
Kirby, Robert M. [1 ]
Sachse, Frank B. [1 ]
机构
[1] Univ Utah, Sch Comp, Salt Lake City, UT 84112 USA
来源
2005 27TH ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-7 | 2005年
关键词
polynomial chaos; stochastic processes; sensitivity quantification; biological computational modeling; cardiac electrophysiology;
D O I
10.1109/IEMBS.2005.1615349
中图分类号
R318 [生物医学工程];
学科分类号
0831 ;
摘要
Mathematical models of biophysical phenomena have proven useful in the reconstruction of experimental data and prediction of biological behavior. By quantifying the sensitivity of a model to certain parameters, one can place an appropriate amount of emphasis in the accuracy with which those parameters are determined. In addition, investigation of stochastic parameters can lead to a greater understanding of the behavior captured by the model. This can lead to possible model reductions, or point out shortcomings to be addressed. We present polynomial chaos as a computationally efficient alternative to Monte Carlo for assessing the impact of stochastically distributed parameters on the model predictions of several cardiac electrophysiological models.
引用
收藏
页码:4042 / 4045
页数:4
相关论文
共 12 条
[1]  
Askey R, 1985, MEMOIRS AM MATH SOC, V319
[2]   IMPULSES AND PHYSIOLOGICAL STATES IN THEORETICAL MODELS OF NERVE MEMBRANE [J].
FITZHUGH, R .
BIOPHYSICAL JOURNAL, 1961, 1 (06) :445-&
[3]  
Ghanem R.G., 2003, Stochastic FInite Elements: a Spectral Approach
[4]  
HILLS RG, 1999, SAND991256
[5]   A computational model of the human left-ventricular epicardial myocyte [J].
Iyer, V ;
Mazhari, R ;
Winslow, RL .
BIOPHYSICAL JOURNAL, 2004, 87 (03) :1507-1525
[6]   Fast and slow waves in the FitzHugh-Nagumo equation [J].
Krupa, M ;
Sandstede, B ;
Szmolyan, P .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 133 (01) :49-97
[7]   ACTIVE PULSE TRANSMISSION LINE SIMULATING NERVE AXON [J].
NAGUMO, J ;
ARIMOTO, S ;
YOSHIZAWA, S .
PROCEEDINGS OF THE INSTITUTE OF RADIO ENGINEERS, 1962, 50 (10) :2061-&
[8]  
SACHSE FB, 2004, SER LNCS, V2966
[9]   The homogeneous chaos [J].
Wiener, N .
AMERICAN JOURNAL OF MATHEMATICS, 1938, 60 :897-936
[10]  
XIU D, 2002, COMPUTER METHODS APP, V11, P4927