- (with K Hedrick) Structure-Preserving Model Reduction of Passive and Quasi-Active Neurons, J. of Computational Neurosci., to appear.
- (with J Raol) Inverse Problems in Neuronal Calcium Signaling, J. Math. Biology, to appear.
- (with ME Embree and JM Hokanson) One can hear the composition of a string: Experiments with an inverse eigenvalue problem, SIAM Review, to appear.
- (with ME Embree) Reconstructing an even damping from a single spectrum, Inverse Problems, 27, 035012, 18pp, 2011.
- (with AR Kellems, S Chaturantabut and DC Sorensen) Morphologically accurate reduced order modeling of spiking neurons, J. of Computational Neuroscience 28(3), pp. 477-494, 2010.
- (with AR Kellems, D Roos and N Xiao) Low-dimensional, morphologically accurate models of subthreshold membrane potential, J. of Computational Neurosci. 27, 161-176, 2009.
- Direct correction of non-space-clamped currents via Cole's theorem J. Neurosci. Methods, Special Issue: Invited papers in Computational Neuroscience, 169, 366-373, 2008.
- (with Y Timofeeva, S Coombes and K Josic) Democratization in a passive dendritic tree: an analytical investigation, J. of Computational Neurosci. 25, 228-244, 2008.
- (with A. Henrot), Eliciting Harmonics on Strings, ESAIM, Control, Optimization and Calculus of Variations 14, 657-677, 2008.
- (with S Coombes, Y Timofeeva, C-M Svensson, G J Lord, K Josic, and C M Colbert) Branching Dendrites with Resonant Membrane: A "sum-over-trips" approach, Biological Cybernetics 97, 137-149, 2007.
- (with B.E. Peercy, S.S. Levanon, K-Y. San, G.N. Bennett), A Kinetic Model of Oxygen Regulation of Cytochrome Production in Escherichia coli, J. of Theoretical Biology 242(3), pp. 547-563, 2006.
- An adjoint method for channel localization, Mathematical Medicine and Biology 23, pp. 139-152, 2006.
- (with S.S. Levanon, A. Sanchez, H. Lin, B. Peercy, G.N. Bennett, K-Y. San) Development of a metabolic network design and optimization framework incorporating implementation constraints: A succinate production case study, Metabolic Engineering 8(1), pp. 46-57, 2006.
- (with S.S. Levanon, G.N. Bennett and K-Y. San) Genetically constrained metabolic flux analysis, Metabolic Engineering 7(5-6), pp. 445-456, 2005.
- (with R.D. Hayes, J.H. Byrne and D.A. Baxter) Estimation of Single-Neuron Model Parameters from Spike Train Data, Neurocomputing 65-66C, pp. 517-529, 2005.
- (with A. Wagner) Lateral Overdetermination of the Fitzhugh-Nagumo System, Inverse Problems 20, pp. 1639-1647, 2004.
- Estimating the Location and Time Course of Synaptic Input From Multi-Site Potential Recordings, J. of Computational Neuroscience, 17(2), pp. 225-243, 2004.
- (with I. Nakic, A. Rittmann and K. Vesilic) Lyapunov optimization of a damped system, System and Control Letters 53(3-4), pp. 187-194, 2004.
- Aye there's the rub, Six Themes on Variation, R. Hardt ed., AMS, pp. 37-58, 2004.
- (with J. Raol) Recovering the passive properties of tapered dendrites from single and dual potential recordings, Mathematical Biosciences, 190, pp. 9-37, 2004.
- (with P. Uhlig) Where best to hold a drum fast, SIAM Review 45(1), pp. 75-92, 2003.
- (with B. Farrell) Estimating the time course of pore expansion during the spike phase of exocytotic release in mast cells of the beige mouse, Bulletin of Mathematical Biology 64(5), pp. 979-1010, 2002.
- (with B. Griffith) Recovering Quasi-Active properties of dendrites from dual potential recordings, J. of Computational Neuroscience, 11(2), pp. 95-110, 2001.
- (with P. Uhlig) Minimal compliance fastening of elastic bodies, J. of Structural and Multidisciplinary Optimization 22, 139-148, 2001.
- (with C. Castro) Achieving arbitrarily large decay in the damped wave equation, SIAM J. Control & Optimization 39(6), pp. 1748-1755, 2001.
- (with L. Ji) Discerning ionic currents and their kinetics from input impedance data, Bulletin of Mathematical Biology 63(5), pp. 909-932, 2001.
- (with D. Dobson) Band structure optimization of two-dimensional photonic crystals in H-polarization, J. Comp. Phys. 158, pp. 214-224, 2000.
- (with L. Ji) Identification of the cable parameters in the somatic shunt model, Biological Cybernetics 83, pp. 151-159, 2000.
- (with D. Dobson) Maximizing band gaps in two-dimensional photonic crystals, SIAM J. Applied Math. 59(6), pp. 2108-2120, 1999.
- A new method for extracting cable parameters from input impedance data, Mathematical Biosciences 153, pp. 1-12, 1998.
- (with B. Kawohl and P. Uhlig) On the optimal insulation of conductors, J. of Optimization, Theory and Application, 100(2), pp. 253-263, 1999.
- (with B. Kawohl) Circular symmetrization and extremal Robin conditions, ZAMP 50(2), pp. 301-311, 1999.
- (with P. Uhlig) Where best to hold a drum fast, SIAM J. Optimization 9(4), pp. 948-964, 1999.
- (with C. McCarthy) The shape of the tallest column, SIAM J. Mathematical Analysis 29(3), pp. 547-554, 1998.
- (with M. Gockenbach) Recovering planar Lame moduli from a single traction experiment, Mathematics & Mechanics of Solids 2, pp. 297-306, 1997.
- (with J. Moro) A Lyapunov function for systems whose linear part is almost classically damped, J. of Applied Mechanics 64(4), pp. 965-968, 1997.
- Designing for optimal energy absorption III, Numerical minimization of the spectral abscissa, Structural Optimization 13(1), pp. 17-22, 1997.
- Designing for optimal energy absorption II, Distributed parameter systems, Proceedings of an Int. Conf. on Control and Estimation of Distributed Parameter Systems, Vorau, 1996.
- Designing for optimal energy absorption I, Lumped parameter systems, ASME Journal on Vibration and Acoustics 120(2), 1998, pp. 339-345.
- (with R. Lipton) Extremal eigenvalue problems for two-phase conductors, Archive for Rational Mechanics and Analysis 136, pp. 101-117, 1996.
- (with M. Overton) Perturbing the critically damped wave equation. SIAM Journal on Applied Mathematics 56(5), pp. 1353-1362, 1996.
- (with R. Knobel) An inverse spectral problem for a nonnormal first order differential operator, Integral Equations and Operator Theory 25, 1996, pp. 147-162.
- (with E. Zuazua) The rate at which energy decays in a string damped at one end, Indiana University Mathematics Journal 44(2), pp. 545-573, 1995.
- The generalized gradient at a multiple eigenvalue, Journal of Functional Analysis 130(1), pp. 30-40, 1995.
- (with M. Ross) Extremal eigenvalue problems for starlike drums. Journal of Differential Equations, vol. 120, 1995, pp. 174-197.
- (with E. Zuazua) The rate at which energy decays in a damped string. Communications in PDE 19, 1994, pp. 213-243.
- Extremal eigenvalue problems for the Laplacian, Recents Advances in PDE, Proceedings of the summer school at El Escorial, 1992, M. Herrero and E. Zuazua, eds., Masson, 1993.
- Tubular conical columns for offshore structures. J. of Offshore Mechanics and Arctic Eng. (115) 1993, pp. 219-222.
- The shape of the ideal column. Mathematical Intelligencer (14) 1992, pp. 16-24.
- (with M. Overton) On the optimal design of columns against buckling. SIAM J. Math. Anal. (23) 1992, pp. 287-325.
- The two phase drum with the deepest bass note. Japan Journal of Industrial and Applied Math (8) 1991, pp. 345-355.
- (with J. McLaughlin) Extremal eigenvalue problems for composite membranes I, Applied Math & Optimization (22) 1990, pp. 153-167.
- (with J. McLaughlin) Extremal eigenvalue problems for composite membranes II, Applied Math & Optimization (22) 1990, pp. 169-187.