Note: Some of the files contained here may differ slightly from the published versions.
Global sensitivity analysis using sparse grid interpolation and polynomial chaos, to appear in Reliability Engineering Sys. Safety.
Efficient basis change for sparse-grid interpolating polynomials, submitted, 2011.
Variance-based global sensitivity analysis via sparse-grid interpolation and cubature, (with D. Xiu), Comm. Comp. Phys., 9(3); 542-567, 2011.
A bioenergetic model of the mitochondrial population undergoing permeability transition, (with J. Bazil, A. Rundell), J. Theor. Biol., 265(4); 672-690, 2010.
Modeling mitochondrial bioenergetics with integrated volume dynamics, (with J. Bazil, A. Rundell), PLoS Comput Biol 6(1); e1000632. doi:10.1371/journal.pcbi.1000632
Robust Parameter Identification with Adaptive Sparse Grid-based Optimization for Nonlinear Systems Biology Models (with M. Donahue, A. Rundell), in 2009 American Control Conference Proceedings, 2009.
Identification of IKr Kinetics and Drug Binding in Native Myocytes (with Q. Zhou, A.C. Zygmunt, J.M. Cordeiro, F. Siso-Nadal, R.E. Miller, and J.J. Fox,), Annals of Biomedical Engineering, 37(7); 1294-1309, 2009.
Parameter Identification with Adaptive Sparse Grid-based Optimization for Models of Cellular Processes, (with M. Donahue, A. Rundell), in Methods in Bioengineering: Systems Analysis of Biological Networks, A. Jayaraman and J. Hahn, Eds. Boston/London: Artech House, 211-232, 2009.
Massively parallel simulation of cardiac electrical wave propagation on Blue Gene, Parallel Computing: Architectures, Algorithms and Applications, (with Fox, J.J., Miller, R., Siso-Nadal, F.), C. Bischof, M. Bucker, P. Gibbon, G.R. Joubert, T. Lippert, B. Mohr, F. Peters (Eds.), John von Neumann Institute for Computing, Julich, NIC Series, Vol. 38, pp. 609-616, 2007. Reprinted in: Advances in Parallel Computing, Volume 15, (IOS Press), 2008.
Holomorphic motions and structural stability for polynomial automorphisms of C2, (with Jenkins, A.), Indiana U. Math. J., 57(1); 277-308, 2008.
Sharp interface and voltage conservation in the phase field method: Application to cardiac electrophysiology, (with Fox, J.J., and F. Siso), SIAM J. Sci. Comp., 30(2); 837-854, 2008.
Computationally Efficient Strategy for Modeling the Effect of Ion Current Modifiers, (with Fox, J.J., Rand, D.G., and Zhou, Q.) IEEE Trans. BME, 55(1); 3-13, 2008.
Modeling and analysis of early events in T-lymphocyte antigen-activated intracellular-signaling pathways, (with Zheng, Y., Balakrishnan, V., Geahlen, R., Harrison, M., and Rundell, A.), J. Comp. Appl. Math., 184(1); 320-341, 2005.
Kupka-Smale Theorem for polynomial automorphisms of C2 and persistence of heteroclinic intersections, (with S. Hruska and Y. Ilyashenko), Invent. Math., 161(1); 45-89, 2005.
Maps conjugating holomorphic maps in Cn (with S. Merenkov), Indiana Univ. Math. J., 52 (2003), 1135-1146.
Tame sets, dominating maps, and complex tori Trans. A.M.S., 355 (2003), no. 6, 2557-2568.
Hyperbolic automorphisms and holomorphic motions in C2, (with K. Verma), Mich. Math. J., 49 (2001), no. 3, 541-565.
Double sections, dominating maps, and the Jacobian fibration, (with S. Lu), Am. J. Math., 122 (2000), 1061-1084.
Extensions of Henon maps to the closed 4-ball Ergod. Th. Dyn. Sys., 20 (2000), 1319-1334.
A Fatou-Bieberbach domain avoiding a neighborhood of a variety of codimension 2, (with J.H. Hubbard), Math. Ann., 316 (2000), 699-702.
An interpolation theorem for holomorphic automorphisms of Cn, (with F. Forstneric), J. Geom. Anal, 10 (2000), no. 1, 101-108.
Algebraic surfaces holomorphically dominable by C2, (with S. Lu), Invent. Math., 139 (2000), no. 3, 617-659.
Nondensity of stability for polynomial automorphisms of C2, Indiana U. Math. J., 48 (1999), no. 3, 857-865.
Kupka-Smale theorem for automorphisms of Cn, Duke Math. J., 93 (1998), no. 3, 487-503.
Complex dynamics in several variables, (with J. Smillie), (expository paper) in Flavors of Geometry, MSRI Publications, Volume 31, 1997.
A Carleman type theorem for proper holomorphic embeddings, (with F. Forstneric), Ark. Mat., 35 (1997), 157-169.
Infinitely many periodic attractors for holomorphic maps of 2 variables, Annals of Math., 145 (1997), 389-417.
Compositional roots of Henon maps, (with J.E. Fornaess), in Geometric Complex Analysis, ed. by J. Noguchi, et al., World Scientific Publ. Co., Singapore, 1996, pp. 67-73.
An embedding of C in C2 with hyperbolic complement (with J.E. Fornaess), Math. Ann., 306 (1996), no. 3, 539--546.
Complete holomorphic vector fields and time-1 maps, (with J.E. Fornaess), Indiana U. Math. J., 44 (1995), no. 4, 1175-1182.
Stably intersecting Julia sets of polynomials, C.R. Acad. Sci. Paris, Ser. I Math., 317 (1993), no. 11, 1013-1018.