Sensitivity analysis of cardiac electrophysiological models using polynomial chaos

Annual International Conference of the IEEE Engineering in Medicine and Biology - Proceedings

Volumn 7 VOLS, Issue , 2005, Pages 4042-4045

  Geneser, Sarah E ^a   Kirby, Robert M ^a   Sachse, Frank B ^b  

^a Department of Electrical and Computer Engineering   (United States)

^b UNIVERSITY OF UTAH SCHOOL OF MEDICINE   (United States)

Author keywords

Biological computational modeling; Cardiac electrophysiology; Polynomial chaos; Sensitivity quantification; Stochastic processes

Indexed keywords

CHAOS THEORY; ELECTROPHYSIOLOGY; MATHEMATICAL MODELS; POLYNOMIAL APPROXIMATION; RANDOM PROCESSES;

BIOLOGICAL COMPUTATIONAL MODELING; CARDIAC ELECTROPHYSIOLOGY; POLYNOMIAL CHAOS; SENSITIVITY QUANTIFICATION;

CARDIOVASCULAR SYSTEM;

EID: 33846913933     PISSN: 05891019     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/iembs.2005.1615349     Document Type: Conference Paper

References (12)

1. F. B. Sachse, Computational Cardiology: Modeling of Anatomy, Electrophysiology, and Mechanics, ser. LNCS 2966. Berlin, Heidelberg, New York: Springer, 2004.
2. R. A. FitzHugh, "Impulses and physiological states in theoretical models of nerve membrane," Biophys. J., vol. 1, pp. 445-466, 1961.
3. J. Nagumo, S. Arimoto, and S. Yoshizawa, "An active pulse transmission line simulating nerve axons," Proc. IRL, vol. 50, pp. 2061-2070, 1960.
4. V. Iyer, R. Mazhari, and R. L. Winslow, "A computational model of the human left-ventricular epicardial myocyte," Biophys. J., vol. 87, pp. 1507-1525, September 2004.
5. R. Hills and T. Trucano, "Statistical validation of engineering and scientific models: Background," Sandia National Laboratories, Tech. Rep. SAND99-1256, 1999.
6. N. Wiener, "The homogeneous chaos," Amer. J. Math., vol. 60, pp. 897-936, 1938.
7. R. Askey and J. Wilson, "Some basic hypergeometric polynomials that generalize Jacobi polynomials," Memoirs Amer. Math. Soc., AMS, vol. 319, 1985.
8. R. Ghanem and P. Spanos, Stochastic Finite Elements: A Spectral Approach. New York, NY: Springer-Verlag, 1991.
9. D. Xiu and G. Karniadakis, "The Wiener-Askey polynomial chaos for stochastic differential equations," SIAM J. Sci. Comput., vol. 24, no. 2, pp. 619-644, 2002.
10. _, "Modeling uncertainty in flow simulations via generalized polynomial chaos," J. Comput. Phys., vol. 187, pp. 137-167, 2003.
11. D. Xiu and G. E. Karniadakis, "Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos," Computer Methods in Applied Mechanics and Engineering, vol. 191, no. 43, pp. 4927-4948, 2002.
12. M. Krupa, B. Sandstede, and P. Szmolyan, "Fast and slow waves in the FitzHugh-Nagumo equation," Journal of Differential Equations, vol. 133, no. 1, pp. 49-97, January 1997.