Issue Date | Title | Author(s) | Citation |

2015 | Averaging, foIded singularities and torus canards: explaining transitions between bursting and spiking in a coupled neuron model | *Roberts, Kerry-Lyn; Wechselberger, Martin; Rubin, Jonathan; Mathematics & Statistics; Mathematics & Statistics* | *Averaging, foIded singularities and torus canards: explaining transitions between bursting and spiking in a coupled neuron model, SIAM Journal on Applied Dynamical Systems, vol.14, 4, 2015,pp 1808-1844* |

2012 | Bifurcations of canard-induced mixed mode oscillations in a pituitary Lactotroph model | *Vo, Theodore; Wechselberger, Martin; Bertram, Richard; Mathematics & Statistics; Mathematics & Statistics* | *Bifurcations of canard-induced mixed mode oscillations in a pituitary Lactotroph model, Discrete and Continuous Dynamical Systems - Series A, vol.32, 8, 2012,pp 2879-2912* |

2009 | Bifurcations of mixed-mode oscillations in a stellate cell model | *Wechselberger, Martin; Weckesser, Warren; Mathematics & Statistics; Mathematics & Statistics* | *Bifurcations of mixed-mode oscillations in a stellate cell model, Physica D: Nonlinear Phenomena, vol.238, N/A,pp 1598-1614* |

2008 | Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II Stellate cell model | *Wechselberger, Martin; Kopell, Nancy; Rostein, Horacio G; Mathematics & Statistics* | *Canard induced mixed-mode oscillations in a medial entorhinal cortex layer II Stellate cell model, SIAM Journal on Applied Dynamical Systems, vol.7, 4, 2008,pp 1582-1611* |

2013 | Canard Theory and Excitability | *Mitry, John; Wechselberger, Martin; Rinzel, J; Mathematics & Statistics; Mathematics & Statistics* | *Canard Theory and Excitability in Nonautonomous Dynamical Systems in the Life Sciences, Springer, 2013, pp. 89-132* |

2015 | Canards of folded saddle-node type I | *Vo, Theodore; Wechselberger, Martin; Mathematics & Statistics; Mathematics & Statistics* | *Canards of folded saddle-node type I, SIAM Journal On Mathematical Analysis, vol.47, 4, 2015,pp 3235-3283* |

2009 | Canards, Clusters, and Synchronization in a Weakley Coupled Interneuron Model | *Wechselberger, Martin; Ermentrout, Bard; Mathematics & Statistics* | *Canards, Clusters, and Synchronization in a Weakley Coupled Interneuron Model, SIAM Journal on Applied Dynamical Systems, vol.8, 1, 2009,pp 253-278* |

2011 | Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales | *Wechselberger, Martin; Kirk, Vivien; Sneyd, James; Zhang, Wenjun; Mathematics & Statistics* | *Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales, Journal of Mathematical Neuroscience, vol.1, 9, 2011,pp 1-22* |

2006 | Chaotic attractors of relaxation oscillators | *Wechselberger, Martin; Guckenheimer, John; Young, Lai-Sang; Mathematics & Statistics* | *Chaotic attractors of relaxation oscillators, Nonlinearity, vol.19,(3),2006,pp 701-720* |

2011 | The dynamics underlying pseudo-plateau bursting in a pituitary cell model | *Vo, Theodore; Wechselberger, Martin; Bertram, Richard; Tabak, Joel; Teka, Wondimu; Mathematics & Statistics; Mathematics & Statistics* | *The dynamics underlying pseudo-plateau bursting in a pituitary cell model, Journal of Mathematical Neuroscience, vol.1, N/A, 2011,pp No. 12-(23pp)* |

2016 | Effects of quasi-steady state reduction on biophysical models with oscillations | *Wechselberger, Martin; Boie, Sebastian; Kirk, Vivien; Sneyd, James; Mathematics & Statistics* | *Effects of quasi-steady state reduction on biophysical models with oscillations, Journal of Theoretical Biology, vol.393, N/A, 2016,pp 16-31* |

2008 | Electrical Waves in a One-Dimensional Model of Cardiac Tissue | *Wechselberger, Martin; Beck, Margaret; Jones, Christopher K.R.T.; Schaeffer, David; Mathematics & Statistics* | *Electrical Waves in a One-Dimensional Model of Cardiac Tissue, SIAM Journal on Applied Dynamical Systems, vol.7, 4, 2008,pp 1558-1581* |

2014 | Existence of Traveling Wave Solutions for a Model of Tumor Invasion | *Marangell, Robert; Wechselberger, Martin; Harley, K; Pettet, Graeme; van Heijster, Petrus; Mathematics & Statistics; Mathematics & Statistics* | *Existence of Traveling Wave Solutions for a Model of Tumor Invasion, SIAM Journal on Applied Dynamical Systems, vol.13, 1, 2014,pp 366-396* |

2017 | Folded Saddles and Faux Canards | *Mitry, John; Wechselberger, Martin; Mathematics & Statistics; Mathematics & Statistics* | *Folded Saddles and Faux Canards, SIAM Journal on Applied Dynamical Systems, vol.16, 1, 2017,pp 546-596* |

2010 | Folds, canards and shocks in advection-reaction-diffusion models | *Wechselberger, Martin; Pettet, Graeme; Mathematics & Statistics* | *Folds, canards and shocks in advection-reaction-diffusion models, Nonlinearity, vol.23, N/A, 2010,pp 1949-1969* |

2016 | Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations | *Wechselberger, Martin; Hayes, Michael; Kaper, Tasso; Szmolyan, Peter; Mathematics & Statistics* | *Geometric desingularization of degenerate singularities in the presence of fast rotation: A new proof of known results for slow passage through Hopf bifurcations, Indagationes Mathematicae, vol.27, 5, 2016,pp 1184-1203* |

2015 | Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells | *Vo, Theodore; Wechselberger, Martin; Bertram, Richard; Tabak, Joel; Teka, W; Mathematics & Statistics; Mathematics & Statistics* | *Geometric Singular Perturbation Analysis of Bursting Oscillations in Pituitary Cells in Mathematical Analysis of Complex Cellular Activity, Springer, 2015, pp. 1-52* |

2014 | A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells | *Vo, Theodore; Wechselberger, Martin; Bertram, Richard; Tabak, Joel; Mathematics & Statistics; Mathematics & Statistics* | *A geometric understanding of how fast activating potassium channels promote bursting in pituitary cells, Journal of computational neuroscience, vol.36, 2, 2014,pp 259-278* |

2009 | Homoclinic clusters and chaos associated with a folded node in a stellate cell model | *Wechselberger, Martin; Weckesser, Warren; Mathematics & Statistics; Mathematics & Statistics* | *Homoclinic clusters and chaos associated with a folded node in a stellate cell model, Discrete and Continuous Dynamical Systems - Series S, vol.2, 4,pp 829-850* |

2006 | Ionic channels and conductance-based models for hypothalamic neuronal thermosensitivity | *Wechselberger, Martin; Bishop, Georgia A; Boulant, Jack A; Wright, Chadwick L; Mathematics & Statistics* | *Ionic channels and conductance-based models for hypothalamic neuronal thermosensitivity, American Journal of Physiology: Regulatory, Integrative and Comparative Physiology, vol.291,(3),2006,pp R518-R529* |