Complex Biological Systems Group

Department of Mathematics, University of Pittsburgh

Publications

2009

• T.L. Stepien. Tubuloglomerular Feedback-Mediated Dynamics in Three Coupled Nephrons. SIURO 2(1): 1-25, 2009.
• B. Riviere, Y. Epshteyn, D. Swigon, & Y. Vodovotz, A Mathematical Model of Signaling Resulting from the Binding of Lipopolysaccharide with Toll-like Receptors Demonstrates Inherent Preconditioning Behavior, Math. Biosciences 217: 19-26, 2009.
• S. Bayram, T.L. Stepien, E.B. Pitman. TGF-Mediated Dynamics in a System of Many Coupled Nephrons. Bull. Math. Biol. 71: 1482-1506, 2009.
• J. Rubin, N. Shevtsova, B. Ermentrout, J. Smith, I. Rybak. Multiple rhythmic states in a model of the respiratory CPG. J. Neurophysiol. 101: 2146-2165, 2009.
• J. Rubin, J. Hayes, J. Mendenhall, C. Del Negro. Calcium-activated nonspecific cation current and synaptic depression promote network-dependent burst oscillations. Proc. Natl. Acad. Sci. USA 106: 2939-2944, 2009
• Ermentrout B, Ko TW, Delays and weakly coupled neuronal oscillators ,PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 367:1097-1115,2009
• Ko TW, Ermentrout GB, Phase-response curves of coupled oscillators Phys Rev E:79: 016211, 2009
• Carlson, B.E., Arciero, J.C., Secomb, T.W. Relative influence of myogenic, shear-dependent, and conducted responses on vascular autoregulation. Am J Physiol Heart Circ 367:1097-1115 2009
• Y. Vodovotz, G. Constantine, J. Rubin, M. Csete, E. Voit, G. An, Mechanistic simulations of inflammation: Current state and future prospects, Math. Biosci., 217: 1-10, 2009

2008

• I. Aavatsmark, G.T. Eigestad, R.A. Klausen, M. F. Wheeler, and I. Yotov. Convergence of a symmetric mpfa method on quadrilateral grids. To appear in Computational Geosciences.
• Arciero, J.C., Carlson, B.E., Secomb, T.W. Roles of oxygen-dependent ATP release by red blood cells and conducted responses in metabolic regulation of blood flow. Am J Physiol Heart Circ Physiol 295:H1562-H1571, 2008.
• Ko TW, Ermentrout GB, Bistability between synchrony and incoherence in limit-cycle oscillators with coupling strength inhomogeneity, Phys rev E 78: 026210, 2008
• S. Daun, J. Rubin, I. Rybak. Control of oscillation periods and phase durations in half-center central pattern generators: a comparative mechanistic analysis. J. Comp. Neurosci., accepted.
• S. Daun, J. Rubin, Y. Vodovotz, A. Roy, R. Parker, G. Clermont. An ensemble of models of the acute inflammatory response: results from parameter reduction. J. Theor. Biol., 253:843-853, 2008.
• G. B. Ermentrout, R.F. Galan, and N. N. Urban. Reliability, synchrony and noise. Trends in Neuroscience, 31:428-434, 2008.
• R.F. Galan, G.B. Ermentrout, and N.N. Urban. Optimal time scale for spike-time reliability: Theory, simulations and experiments. J. of Neurophysiology, 99(1):277-283, 2008.
• U. Girault, S. Sun, M. F. Wheeler, and I. Yotov. Coupling discontinuous galerkin and mixed finite element discretizations using mortar finite elements. Submitted to SIAM J. Numer. Anal.
• Y. Guo, J. Rubin, C. McIntyre, J. Vitek, and D. Terman. Thalamocortical relay fidelity varies across subthalamic nucleus deep brain stimulation protocols in a data-driven computational model. J. Neurophysiol., 99:1477-1492, 2008.
• F.G. Kazanci, and G.B. Ermentrout. Wave formation through the interactions between clustered states and local coupling in arrays of neural oscillators. SIAM J. on Appl. Dynamical Systems, 7(2):491-509, 2008.
• T.W. Ko, and G.B. Ermentrout. Partially locked states in coupled oscillators due to inhomogeneous coupling. Physical Review E, 78(1):016203, 2008.
• T.W. Ko, and G.B. Ermentrout. Bistability between synchrony and incoherence in limit-cycle oscillators with coupling strength inhomogeneity. Physical Review E, 78;026210, 2008.
• N. Li, K. Verdolini, G. Clermont, Q. Mi, P. Hebda, and Y. Vodovotz. A patient-specific in silico model of inflammation and healing tested in acute vocal fold injury. Submitted.
• K. Lipnikov, M. Shashkov, and I. Yotov. Local flux mimetic finite difference methods. Submitted to Numer. Math.
• S. Marella, and G.B. Ermentrout. Class-II neurons display a higher degree of stochastic synchronization than class-I neurons. Physical Review E, 77(4):041918, 2008.
• Q. Mi, B. Riviere, G. Clermont, D.L. Steed, and Y. Vodovotz. Agent-based modeling of inflammation and wound healing: insights into diabetic foot ulcer pathology and the role of transforming growth factor-beta 1. Wound Repair and Regeneration, To appear.
• A. Reynolds, G. Clermont, J. Rubin, et al. A mathematical model of acute inflammation which accounts for blood and tissue ineractions. Shock, 22:84-85, 2008.
• J. Rubin, M. Wechselberger. The selection of mixed mode oscillations in a Hodgkin-Huxley model with multiple timescales. Chaos, 18:015105-1--015105-12, 2008.

2007

• T. Arbogast, G. Pencheva, M. F. Wheeler, and I. Yotov. A multiscale mortar mixed finite element method. SIAM J. Multiscale Modeling and Simulation, 6(1):319–346, 2007.
• Y. Biton, D. Swigon, and B.D. Coleman. On bifurcations of equilibria of intrinsically curved, electrically charged, rod-like structures that model dna molecules in solution. J. Elasticity., 87:187-210, 2007.
• R. Brette, M. Rudolph, T. Carnevale, et al. Simulation of networks of spiking neurons: A review of tools and strategies. J. of Comp. Neuro., 23(3):349-398, 2007.
• L. Czapla, D. Swigon, & W.K. Olson, Effects of the nucleoid protein HU on the structure, flexibility, and ring-closure properties of DNA deduced from Monte-Carlo simulations, J Mol. Biol. 382, 353-370, 2008.
• G. B. Ermentrout, R. F. Galan, and N. N. Urban. Relating neural dynamics to neural coding. Physical Review Letters, 99(24):248103, 2007.
• R. F. Galen, G. B. Ermentrout, and N. N. Urban. Reliability and stochastic synchronization in type I vs. type II neural oscillators. Neurocomputing, 70(10-12):2102-2106, 2007.
• R. F. Galan, G. B. Ermentrout, and N. N. Urban. Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method. Physical Review E, 76(5)053110, 2008.
• M. Grabe, H.C. Lai, M. Jain, Y.N. Jan, and L. Yeh. Structure prediction for the down state of a potassium channel voltage sensor. Nature, 445:550–553, 2007.
• B. Hancioglu, D. Swigon, and G. Clermont. A dynamical model of human immune response to influenza a virus infection. J. Theor. Biol., 246(1):70–86, 2007.
• T. W. Ko, and G. B. Ermentrout. Effects of axonal time delay on synchronization and wave formation in sparsely coupled neuronal oscillators. Physical Review E, 76(5):056206, 2007.
• Q. Mi, D. Swigon, B. Riviere, S. Cetin, Y. Vodovotz, and D. Hackam. One-dimensional elastic continuum model of enterocyte layer migration. Biophys. J. 93:3745-3752, 2007.
• J. Rubin and K. Josic. The firing of an excitable neuron in the presence of stochastic trains of strong inputs. Neural Comp., 19:1251-1294, 2007.
• J. Rubin and M. Wechselberger. Giant squid - hidden canard: the 3D geometry of the Hodgkin-Huxley model. Biol. Cybernetics, 97: 5-32, 2007.
• T.F. Russell, M.F. Wheeler, and I. Yotov. Superconvergence for control-volume mixed finite element methods on rectangular grids. SIAM J. Numer. Anal., 45(1):223–235, 2007.
• D. Swigon and W.K. Olson, Mesoscale modeling of multi-protein-DNA assemblies: the role of the catabolic activator protein in Lac repressor-mediated looping, Int. J. Nonl. Mech., 43, 1082–1093 (2008).
• D. Swigon, The Mathematics of DNA Structure, Mechanics, and Dynamics, accepted for IMA series in Mathematics and Its Applications, August 2008.
• J. S. Upperman, V. Camerini, B. Lugo, I. Yotov, J. Sullivan, J. Rubin, G. Clermont, R. Zamora, G. B. Ermentrout, H. R. Ford, and Y. Vodovotz. Mathematical modeling in Necrotizing Enterocotitis a new look at an ongoing problem. Journal of Pediatric Surgery, 42(3):445–453, 2007.
• S. Zenker, J. Rubin, and G. Clermont. Towards a model based medicine: a clinically meaningful approach to ill-posed inverse problems in quantitative physiology. PLoS Comp. Biol., 3: 2072-2086, 2007.

2006

• E. Z. Bagci, Y. Vodovotz, T. R. Billiar, G. B. Ermentrout, and I. Bahar. Bistability in apoptosis: Roles of Bax, Bcl-2, and mitochondrial permeability transition pores. Biophys. J., 90(5):1546–1559, 2006.
• L. Czapla, D. Swigon, and W.K. Olson. Sequence-dependent effects in the cyclization of short dna. J. Chem. Theory Comput., 2:685–695, 2006.
• A. T. Dawes, G. B. Ermentrout, E. N. Cytrynbaum, et al. Actin filament branchingand protrusion velocity in a simple 1D model of a motile cell. J. of Theor. Bio., 242(2):265-279, 2006.
• J. Day, J. Rubin, Y. Vodovotz, C. Chow, A. Reynolds, and G. Clermont. A reduced mathematical model for the acute inflammatory response. II. Capturing scenarios of repeated endotoxin administrations. J. Theor. Biol., 242: 237-256, 2006.
• J. D. Drover and G. B. Ermentrout. Phase boundaries as electrically induced phosphenes. Siam J. On Appl. Dynamical Systems, 5(4):529–551, 2006.
• Y. Epshteyn and B. Riviere. Estimation of penalty parameters for symmetric interior penalty Galerkin methods. Journal of Computational and Applied Mathematics, 2006. doi:10.1016/j.cam.2006.08.029.
• G. B. Ermentrout. Gap junctions destroy persistent states in excitatory networks. Physical Review E, 74(3):031918, 2006.
• B. Ermentrout, and D. Saunders. Phase resetting and coupling of noisy neural oscillators. J. of Comp. Neuro., 20(2):179-190, 2006.
• R. F. Galan, G. B. Ermentrout, and N. N. Urban. Predicting synchronized neural assemblies from experimentally estimated phase-resetting curves. Neurocomputing, 69(10-12):1112–1115, 2006.
• R. F. Galan, G. B. Ermentrout, and N. N. Urban. Reliability, discriminability and stochastic synchronization of olfactory neurons. Sensors Actuators B-chemical, 116(1-2):168–173, 2006.
• R. F. Galan, N. Fourcaud-Trocme, G. B. Ermentrout, and N. N. Urban. Correlation-induced synchronization of oscillations in olfactory bulb neurons. J. Neuroscience, 26(14):3646–3655, 2006.
• D. Golomb, A. Shedmi, R. Curtu, and G. B. Ermentrout. Persistent synchronized bursting activity in cortical tissues with low magnesium concentration: A modeling study. J. Neurophysiology, 95(2):1049–1067, 2006.
• B. Gutkin and G. B. Ermentrout. Neuroscience - Soikes too kinky in the cortex?. Nature, 440(7087):999-1000, 2006.
• F. G. Kazanci and B. Ermentrout. Pattern formation in an array of oscillators with electrical and chemical coupling. Siam J. On Appl. Mathematics, 67(2):512–529, 2006.
• W. Klieber and B. Riviere. Adaptive simulations of two-phase flow by discontinuous Galerkin methods. Computer Methods in Applied Mechanics and Engineering, 196:404–419, 2006.
• S. B. Moldakarimov, J. L. McClelland, and G. B. Ermentrout. A homeostatic rule for inhibitory synapses promotes temporal sharpening and cortical reorganization. Proc. National Acad. Sciences United States Am., 103(44):16526–16531, 2006.
• R. Munsi, R. D. Coalson, G. B. Ermentrout, et al. An intorduction to simulation and visualization of biological systems at multiple scales: A summer training program for interdisciplinary research. Biotechnology Progress, 22(1):179-185, 2006.
• A. Reynolds, J. Rubin, G. Clermont, J. Day, YY. Vodovotz, and B. Ermentrout. A reduced mathematical model for the acute inflammatory response. I. Derivation of model and analysis of antiinflammation. J. Theor. Biol., 242:220–236, 2006.
• J. Rubin. Bursting induced by excitatory synaptic coupling in non-identical conditional relaxation oscillators or square-wave bursters. Phys. Rev. E, 74, 021917, 2006.
• J. Rubin and A. Bose. The geometry of neuronal recruitment. Physica D, 221:37-57, 2006.
• J. Sullivan and I. Yotov. Mathematical and numerical modeling of inflammation. In Electronic proceedings of Undergraduate Mathematics Day, University of Dayton, Ohio, Vol. 2, http://academic.udayton.edu/EPUMD, 2006.
• D. Swigon, B.D. Coleman, and W.K. Olson. Modeling the lac repressor-operator assembly: I. the influence of dna looping on lac repressor conformation. Proc. Natl. Acad. Sci. USA, 103:9879–9884, 2006.
• M. F. Wheeler, G. Pencheva, S. G. Thomas, and I. Yotov. Multiscale mortar mixed finite elements for multiphase flow in porous media. In 10th European Conference on the Mathematics of Oil Recovery, Amsterdam, 2006.
• M.F. Wheeler and I. Yotov. A cell-centered finite difference method on quadrilaterals. In Compatible spatial discretizations, volume 142 of IMA Vol. Math. Appl., pages 189–207. Springer, New York, 2006.
• M.F. Wheeler and I. Yotov. A multipoint flux mixed finite element method. SIAM J. Numer. Anal., 44(5):2082–2106, 2006.

2005

• M. Berndt, K. Lipnikov, M. Shashkov, M. F. Wheeler, and I. Yotov. A mortar mimetic finite difference method on non-matching grids. Numer. Math., 102(2):203–230, 2005.
• M. Berndt, K. Lipnikov, M. Shashkov, M. F.Wheeler, and I. Yotov. Superconvergence of the velocity in mimetic finite difference methods on quadrilaterals. SIAM J. Numer. Anal., 43(4):1728–1749, 2005.
• J. Best, A. Borisyuk, J. Rubin, D. Terman and M. Wechselberger. The dynamic range of bursting in a model respiratory pacemaker network. SIAM J. Appl. Dyn. Syst., 4:1107-1139, 2005.
• G-Q. Bi and J. Rubin. Timing in synaptic plasticity: from detection to integration. Trends in Neurosci., 28:222–228, 2005.
• R. F. Galan, G. B. Ermentrout, and N. N. Urban. Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling. Phys. Rev. Lett., 94(15), 2005.
• V. Girault, B. Riviere, and M. Wheeler. A discontinuous Galerkin method with non-overlapping domain decomposition for the Stokes and Navier-Stokes problems. Mathematics of Computation, 74:53–84, 2005.
• V. Girault, B. Riviere, and M. Wheeler. A splitting method using discontinuous Galerkin for the transient incompressible Navier-Stokes equations. Mathematical Modelling and Numerical Analysis, 39(6):1115–1148, 2005.
• D. Golumb, A. Shedmi, R. Curtu, et al. Persistent synchronized bursts in cortical tissues in low magnesium concentration. Reviews in the Neurosciences. 16:S25-S25 Suppl. 1, 2005.
• B. S. Gutkin, G. B. Ermentrout, and A. D. Reyes. Phase-response curves give the responses of neurons to transient inputs. J. of Neurophysiology, 94(2):1623-1635, 2005.
• O. Jensen, P. Goel, N. Kopell, M. Pohja, R. Hari, and B. Ermentrout. On the human sensorimotorcortex beta rhythm: sources and modeling. Neuroimage, 26(2):347–355, Jun 2005. Clinical Trial.
• K. Josic and J. Rubin. Deriving information about architecture from activity patterns in coupled cell systems. SIAM Journal of Applied Dynamical Systems, 4:53-77, 2005.
• S. Kaya and B. Riviere. A discontinuous subgrid eddy viscosity method for the time-dependent Navier-Stokes equations. SIAM Journal on Numerical Analysis, 43(4):1572–1595, 2005.
• H.C. Lai, M. Grabe, Y.N. Jan, and L.Y. Jan. The s4 voltage sensor packs against the pore domain in the kat1 voltage-gated potassium channel. Neuron, 47:395–406, 2005.
• D.J. Pinto, S.L. Patrick, W.C. Huang, and B.W. Connors. Initiation, propagation, and termination of epileptiform activity in rodent neocortex in vitro involve distinct mechanisms. J Neurosci, 25(36):8131–8140, Sep 2005. In Vitro.
• B. Rivi`ere and I. Yotov. Locally conservative coupling of Stokes and Darcy flows. SIAM J. Numer. Anal., 42(5):1959–1977, 2005.
• J. Rubin. Surprising effects of synaptic excitation. J. Comp. Neurosci., 18:333-342, 2005.
• J. Rubin, R. Gerkin, G-Q. Bi, and C. Chow. Calcium time course as a signal for spike-timing dependent plasticity. J. Neurophysiol., 93:2600–2613, 2005.
• B. Siegler, M. Ritchey, and J. Rubin. Spike-timing dependent plasticity as a mechanism for ocular dominance shift. Neurocomputing, 65-66:181–188, 2005.
• M.F. Wheeler and I. Yotov. A posteriori error estimates for the mortar mixed finite element method. SIAM J. Numer. Anal., 43(3):1021–1042, 2005.

2004

• Arciero, J.C., Jackson, T.L., Kirschner, D.E. A mathematical model of tumor immune evasion and siRNA treatment. Discrete Contin. Dynam. Sys. 4(1):39-58 2004.
• R. Curtu and B. Ermentrout. Pattern formation in a network of excitatory and inhibitory cells with adaptation. Siam J. On Appl. Dynamical Systems, 3(3):191–231, 2004.
• J. Drover, J. Rubin, J. H. Su, and B. Ermentrout. Analysis of a canard mechanism by which excitatory synaptic coupling can synchronize neurons at low firing frequencies. Siam J. On Appl. Mathematics, 65(1):69–92, 2004.
• B. Ermentrout, J. W. Wang, J. Flores, et al. Model for transition from waves to synchrony in the olfactory lobe of Limax. J. of Comp. Neuro., 17(3):365-383. 2004.
• M. Grabe, H. Lecar, Y.N. Jan, and L.Y. Jan. A quantitative assessment of models for voltagedependent gating of ion channels. Proc. Natl. Acad. Sci. USA, 101:17640–17645, 2004.
• X. Huang, W.C. Troy, Q. Yang, H. Ma, C.R. Laing, S.J. Schiff, and J-Y. Wu. Spiral waves in disinhibited mammalian neocortex. J Neurosci, 24(44):9897–9902, Nov 2004.
• J. Karbowski and G. B. Ermentrout. Model of the early development of thalamo-cortical connections and area patterning via signaling molecules. J. Computational Neuroscience, 17(3):347–363, 2004.
• N. Kopell, and B. Ermentrout. Chemical and electrical synapses perform complementary roles in the sychronization of interneural networks. Proc. Nat. Acad. Sci. USA, 101(43):15482-15487, 2004.
• R. Osan, R. Curtu, J. Rubin, and B. Ermentrout. Multiple-spike waves in a one-dimensional integrate-and-fire neural network. J. Math. Biol., 48(3):243–274, 2004.
• S. B. Roberts, and G. B. Ermentrout. Collective behavior in populations of coupled stochastic oscillators. Annals of Emer. Medicine, 44(4):S53-S54 EMF-5 Suppl. S, 2004.
• J. Rubin and A. Bose. Localized activity patterns in excitatory neuronal networks. Network: Comp. Neural Sys., 15:133-158, 2004.
• J. Rubin and D. Terman. High frequency stimulation of the subthalamic nucleus eliminates pathological rhythmicity in a computational model. J. Comp. Neurosci., 16:211-235, 2004.
• J.E. Rubin and W.C. Troy. Sustained spatial patterns of activity in neuronal populations without recurrent excitation. SIAM J. Appl. Math, 64:1609–1635, 2004.
• K.M. Spencer, P.G. Nestor, R. Perlmutter, M.A. Niznikiewicz, M.C. Klump, M. Frumin, M.E. Shenton, and R.W. McCarley. Neural synchrony indexes disordered perception and cognition in schizophrenia. Proc Natl Acad Sci U S A, 101(49):17288–17293, Dec 2004.
• J. Su, J. Rubin, and D. Terman. Effects of noise on elliptic bursters. Nonlinearity, 17:133-157, 2004.
• Y. Vodovotz, P. K. M. Kirn, E. Z. Bagci, et al. Inflammatory modulation of hepatocyte apoptosis by nitric oxide: In vivo, in vitro, and in silico studies. Crrent Molecular Medicine, 4 (7):753-762, 2004.
• D. C. Whitcomb and G. B. Ermentrout. Mathematical modeling of bicarbonate conductance-disrupting CFTR mutations in pancreatic duct cells predict inhibition of pancreatic fluid secretion. Gastroenterology, 126(4):A595-A595 Suppl. 2, 2004.
• D.C. Whitcomb and G.B. Ermentrout. A mathematical model of the pancreatic duct cell generating high bicarbonate concentrations in pancreatic juice. Pancreas, 29(2):E30–E40, 2004.

2003

• P. Bastian and B. Riviere. Superconvergence and H(div) projection for discontinuous Galerkin methods. International Journal for Numerical Methods in Fluids, 42:1043–1057, 2003.
• J. D. Drover and B. Ermentrout. Nonlinear coupling near a degenerate Hopf (Bautin) bifurcation. Siam J. On Appl. Mathematics, 63(5):1627–1647, 2003.
• B. Ermentrout. Dynamical consequences of fast-rising, slow-decaying synapses in neuronal networks. Neural Comput, 15(11):2483-2522, 2003.
• B. Gutkin, D. Pinto and B. Ermentrout. Mathematical neuroscience: From Neurons to circuits to systems. J. of Physiology-Paris, 97(2-3):209-219, 2003.
• B. Gutkin, G. B. Ermentrout, and M. Rudolph. Spike generating dynamics and the conditions for the spike-time precision in the coritcal neurons. J. Comp. Neurosci., 15(1):91-103, 2003.
• G. Hernandez, J. Rubin, and P. Munro. The effect of spike redistribution in a reciprocally connected pair of neurons with spike timing-dependent plasticity. Neurocomputing, 52-54:347–353, 2003.
• W.J. Layton, F. Schieweck, and I. Yotov. Coupling fluid flow with porous media flow. SIAM J. Numer. Anal., 40(6):2195–2218, 2003.
• H. Lecar, H.P. Larsson, and M. Grabe. Electrostatic model of s4 motion in voltage-gated ion channels. Biophys. J., 85:2584–2864, 2003.
• R. Osan and B. Ermentrout. Speed-up methods for simulations of traveling waves in integrate-andfire neural networks. Neurocomputing, 52-4:863–868, 2003.
• R. Osan, J. Rubin, R. Curtu, and B. Ermentrout. Traveling waves in a one-dimensional integrateand- fire neural network with finite support connectivity. Neurocomputing, 52-4:869–875, 2003.
• G. Pencheva and I. Yotov. Balancing domain decomposition for mortar mixed finite element methods. Numer. Linear Algebra Appl., 10(1-2):159–180, 2003.
• V. Shusterman, B. Aysin, G. B. Ermentrout, et al. Detecting instabilities of the cardiac rhythm. J. Electrocardiol, 36:219-226 Suppl. S, 2003.

2002

• P. Goel and B. Ermentrout. Synchrony, stability, and firing patterns in pulse-coupled oscillators. Physica D-nonlinear Phenomena, 163(3-4):191–216, 2002.
• J. Karbowski and G. B. Ermentrout. Synchrony arising from a balanced synaptic plasticity in a network of heterogeneous neural oscillators. Phys. Rev. E, 65(3), 2002.
• J. Karbowski and G.B. Ermentrout. Synchrony arising from a balanced synaptic plasticity in a network of heterogenous neural oscillators. Phys. Rev. E, 65:031902, 2002.
• C.R. Laing, W.C. Troy, B. Gutkin, and G.B. Ermentrout. Multiple bumps in a neuronal model of working memory. SIAM J. Appl. Math., 63:62–97, 2002.
• R. Osan and B. Ermentrout. Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model. Neurocomputing, 44:561–566, 2002.
• R. Osan and B. Ermentrout. The evolution of synaptically generated waves in one- and twodimensional domains. Physica D-nonlinear Phenomena, 163(3-4):217–235, 2002.
• R. Osan, J. Rubin, and B. Ermentrout. Regular traveling waves in a one-dimensional network of theta neurons. Siam J. On Appl. Mathematics, 62(4):1197–1221, 2002.
• J. Rubin and D. Terman. Geometric singular perturbation analysis of neuronal dynamics. In B. Fiedler, editor, Handbook of Dynamical Systems, vol. 2: Towards Applications. Elsevier, 2002.
• J. Rubin and D. Terman. Synchronized bursts and loss of synchrony among heterogeneous conditional oscillators. SIAM J. Appl. Dyn. Sys., 1:146–174, 2002.
• D. Terman, J.E. Rubin, A.C. Yew, and C.J. Wilson. Activity patterns in a model for the subthalamopallidal network of the basal ganglia. J. Neurosci., 22:2963–2976, 2002.