**Greg Buzzard: Journal Articles**

Note: Some of the files contained here may differ slightly from the published versions.

Digital compressive chemical quantitation and hyperspectral imaging (with D.S. Wilcox, B.J. Lucier, O.G. Rehrauer, P. Wang, and D. Ben-Amotz), Royal Soc. Chem. Analyst, 138(17); 4982-4990, 2013.

Efficient Basis Change for Sparse-Grid Interpolating Polynomials with Application to T-Cell Sensitivity Analysis, Computational Biology Journal Volume 2013 (2013), Article ID 562767, 10 pages.

Photon Level Chemical Classification using Digital Compressive Detection (with D.S. Wilcox, B.J. Lucier, P. Wang, and D. Ben-Amotz), Analytica Chimica Acta, (755); 17-27, 2012.

Optimal parameter estimation for long-term prediction in the presence of model mismatch (with R.S. Lee and P. Meckl), ASME J. Dyn. Sys., Meas., Control, 134(4), 041010 (16 pages), 2012.

Sparse-grid-based adaptive model predictive control of HL60 cellular differentiation (with S.L.Noble, L.E. Wendel, M.M. Donahue, and A.E. Rundell), IEEE Trans. Biomedical Eng., 59(2); 456-463, 2012.

Secreted, receptor-associated BMP regulators reduce stochastic noise intrinsic to many extracellular morphogen distributions (with M.S. Karim and D.M. Umulis), J. Royal Soc. Interface, 9(70); 1073-83, 2012.

A global, parallel, model-based design of experiments method to minimize model output uncertainty (with J. Bazil and A.E. Rundell), Bull. Math. Biol., 74(3); 688-716, 2011.

Experiment design through dynamical characterization of systems biology models utilizing sparse grids (with M. Donahue and A.E. Rundell), IET Systems Biology, 4(4); 249-262, 2010.

Global sensitivity analysis using sparse grid interpolation and polynomial chaos, Reliability Eng. and Sys. Safety, 107 (SAMO 2010); 82-89, 2012.

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

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 C^{2}, (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 C^{2} and persistence of heteroclinic intersections,
(with S. Hruska and Y. Ilyashenko), Invent. Math., 161(1); 45-89, 2005.

Maps conjugating holomorphic maps in C^{n}
(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 C^{2}, (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 C^{n}, (with F. Forstneric),
J. Geom. Anal, 10 (2000), no. 1, 101-108.

Algebraic surfaces holomorphically
dominable by C^{2}, (with S. Lu), Invent. Math., 139 (2000), no. 3, 617-659.

Nondensity of stability for polynomial
automorphisms of C^{2}, Indiana U. Math. J., 48 (1999), no. 3, 857-865.

Kupka-Smale theorem for automorphisms of C^{n},
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 C^{2} 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.

**Conference proceedings and expository articles (refereed)**

Donahue, M.M., Buzzard, G.T., and Rundell, A.E., Robust parameter identification with adaptive sparse grid-based optimization for nonlinear systems biology models, in 2009 American Control Conference Proceedings, Hyatt Regency Riverfront, St. Louis, MO, USA, 2009.

Noble, S.L., Buzzard, G.T., and Rundell, A., Feasible parameter space characterization with adaptive sparse grids for nonlinear systems biology models, American Control Conference Proceeding, O'Farrell Street, San Francisco, CA, 2011.

Karim, M.S., Umulis, D.M, and Buzzard, G.T., Steady state probability approximation applied to stochastic model of a biological network, 2011 IEEE International Workshop on Genomic Signal Processing and Statistics (GENSIPS '11).

Buzzard, G.T., Model-based experiment design, initiation. In Springer Encyclopedia of Systems Biology,

J.P. Perley, J. Mikolajczak, V.C. Dinh, M.L. Harrison, G.T. Buzzard, and A.E. Rundell, Systematically Manipulating T-Cell Signaling Pathway Dynamics via Multiple Model Informed Open-Loop Controller Design, to appear in 51st IEEE Conference on Decision and Control.

Buzzard, G.T. and Lucier, B.J., Optimal filters for high-speed compressive detection in spectroscopy, Computational Imaging XI, IS&T/SPIE Electronic Imaging 2013, San Francisco. doi:10.1117/12.2012700

Chakrabarty, A., Buzzard, G.T. and Rundell, A.E., Model-based design of experiments for cellular processes, Wiley Interdiscip Rev Syst Biol Med., 2013 Jan 4. doi: 10.1002/wsbm.1204.