| Publication | Date of Publication | Type |
|---|
| Transmission of delta band (0.5--4 Hz) oscillations from the globus pallidus to the substantia nigra pars reticulata in dopamine depletion | 2024-04-03 | Paper |
| Sensitivity to Control Signals in Triphasic Rhythmic Neural Systems: A Comparative Mechanistic Analysis via Infinitesimal Local Timing Response Curves | 2023-08-28 | Paper |
| Slow negative feedback enhances robustness of square-wave bursting | 2023-07-19 | Paper |
| Rigorous mapping of data to qualitative properties of parameter values and dynamics: a case study on a two-variable Lotka-Volterra system | 2023-07-13 | Paper |
| Qualitative inverse problems: mapping data to the features of trajectories and parameter values of an ODE model | 2023-06-01 | Paper |
| On the Nonexistence of Terrestrial Canards: Linking Canards and Rivers | 2022-12-08 | Paper |
| Parameter identification from single trajectory data: from linear to nonlinear | 2022-09-28 | Paper |
| Dynamics of ramping bursts in a respiratory neuron model | 2022-08-10 | Paper |
| Activity Patterns of a Two-Timescale Neuronal Ring Model with Voltage-Dependent, Piecewise Smooth Inhibitory Coupling | 2022-08-10 | Paper |
| A data-driven model of the role of energy in sepsis | 2022-01-20 | Paper |
| Type III Responses to Transient Inputs in Hybrid Nonlinear Neuron Models | 2021-08-02 | Paper |
| The roles of ascending sensory signals and top-down central control in the entrainment of a locomotor CPG | 2021-03-26 | Paper |
| Interactions of solitary pulses of \textit{E. coli} in a one-dimensional nutrient gradient | 2021-01-12 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5134695 | 2020-11-17 | Paper |
| https://portal.mardi4nfdi.de/entity/Q5134745 | 2020-11-17 | Paper |
| A reduced mathematical model of the acute inflammatory response. I: Derivation of model and analysis of anti-inflammation | 2020-09-17 | Paper |
| A reduced mathematical model of the acute inflammatory response. II: Capturing scenarios of repeated endotoxin administration | 2020-09-17 | Paper |
| Complex bursting dynamics in an embryonic respiratory neuron model | 2020-08-04 | Paper |
| Local orthogonal rectification: deriving natural coordinates to study flows relative to manifolds | 2020-08-03 | Paper |
| LOR for Analysis of Periodic Dynamics: A One-Stop Shop Approach | 2020-02-27 | Paper |
| On the Importance of the Jacobian Determinant in Parameter Inference for Random Parameter and Random Measurement Error Models | 2019-10-17 | Paper |
| Mathematical modeling of energy consumption in the acute inflammatory response | 2019-02-05 | Paper |
| A New Frame for an Old (Phase) Portrait: Finding Rivers and Other Flow Features in the Plane | 2018-12-20 | Paper |
| OSCILLATORY BURSTING MECHNISMS IN RESPIRATORY PACEMAKER NEURONS AND NETWORKS | 2018-12-18 | Paper |
| Numerical optimization of coordinated reset stimulation for desynchronizing neuronal network dynamics | 2018-12-04 | Paper |
| Timescales and mechanisms of sigh-like bursting and spiking in models of rhythmic respiratory neurons | 2018-07-24 | Paper |
| Multiple timescale mixed bursting dynamics in a respiratory neuron model | 2018-03-14 | Paper |
| Wild oscillations in a nonlinear neuron model with resets. I: Bursting, spike-adding and chaos | 2017-09-26 | Paper |
| Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations | 2017-09-26 | Paper |
| Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems | 2017-06-30 | Paper |
| Robustness of Solutions of the Inverse Problem for Linear Dynamical Systems with Uncertain Data | 2017-06-28 | Paper |
| Traveling wave solutions in a chain of periodically forced coupled nonlinear oscillators | 2017-06-14 | Paper |
| Quantitative modeling and analysis of bifurcation-induced bursting | 2017-01-19 | Paper |
| Modeling the interactions of bacteria and toll-like receptor-mediated inflammation in necrotizing enterocolitis | 2016-08-01 | Paper |
| Conditions for multi-functionality in a rhythm generating network inspired by turtle scratching | 2016-05-12 | Paper |
| Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model | 2015-11-03 | Paper |
| A boundary value approach to optimization with an application to salmonella competition | 2015-10-28 | Paper |
| Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris--Lecar System | 2015-10-13 | Paper |
| Strategies to Maximize Burst Lengths in Rhythmic Anti-Phase Activity of Networks with Reciprocal Inhibition | 2015-09-02 | Paper |
| The selection of mixed-mode oscillations in a Hodgkin-Huxley model with multiple timescales | 2015-03-03 | Paper |
| Identifiability of Linear and Linear-in-Parameters Dynamical Systems from a Single Trajectory | 2015-01-20 | Paper |
| Explicit maps to predict activation order in multiphase rhythms of a coupled cell network | 2014-07-14 | Paper |
| Cooperation of intrinsic bursting and calcium oscillations underlying activity patterns of model pre-Bötzinger complex neurons | 2013-12-02 | Paper |
| First return maps for the dynamics of synaptically coupled conditional bursters | 2013-06-21 | Paper |
| Tailoring inputs to achieve maximal neuronal firing | 2013-03-22 | Paper |
| Using nonlinear model predictive control to find optimal therapeutic strategies to modulate inflammation | 2013-03-19 | Paper |
| Interaction of Canard and Singular Hopf Mechanisms in a Neural Model | 2012-04-19 | Paper |
| A reliability study of square wave bursting \(\beta\)-cells with noise | 2011-10-10 | Paper |
| Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function | 2011-04-08 | Paper |
| The dynamics of a forced coupled network of active elements | 2011-03-29 | Paper |
| Optimal Intrinsic Dynamics for Bursting in a Three-Cell Network | 2010-05-06 | Paper |
| Competition Between Transients in the Rate of Approach to a Fixed Point | 2010-01-20 | Paper |
| Mechanistic simulations of inflammation: current state and future prospects | 2009-04-17 | Paper |
| Giant squid-hidden canard: the 3D geometry of the Hodgkin-Huxley model | 2007-11-12 | Paper |
| The Firing of an Excitable Neuron in the Presence of Stochastic Trains of Strong Synaptic Inputs | 2007-07-24 | Paper |
| The geometry of neuronal recruitment | 2006-10-19 | Paper |
| The Dynamic Range of Bursting in a Model Respiratory Pacemaker Network | 2006-06-01 | Paper |
| Deriving Information about Architecture from Activity Patterns in Coupled Cell Systems | 2005-02-28 | Paper |
| Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation | 2004-12-13 | Paper |
| Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies | 2004-12-13 | Paper |
| Multiple-spike waves in a one-dimensional integrate-and-fire neural network | 2004-12-01 | Paper |
| A nonlocal eigenvalue problem for the stability of a traveling wave in a neuronal medium | 2004-11-01 | Paper |
| Effects of noise on elliptic bursters | 2004-03-29 | Paper |
| Existence and stability of standing hole solutions to complex Ginzburg-Landau equations | 2003-06-16 | Paper |
| Analysis of clustered firing patterns in synaptically coupled networks of oscillators | 2003-01-14 | Paper |
| Synchronized Activity and Loss of Synchrony Among Heterogeneous Conditional Oscillators | 2003-01-05 | Paper |
| https://portal.mardi4nfdi.de/entity/Q4550335 | 2002-10-21 | Paper |
| Regular Traveling Waves in a One-Dimensional Network of Theta Neurons | 2002-04-17 | Paper |
| Steady states in an iterative model for multiplicative spike-timing-dependent plasticity | 2001-09-04 | Paper |
| Stability, bifurcations and edge oscillations in standing pulse solutions to an inhomogeneous reaction-diffusion system | 1999-01-01 | Paper |
| Existence of standing pulse solutions to an inhomogeneous reaction-diffusion system | 1998-10-06 | Paper |
| Settling and asymptotic motion of aerosol particles in a cellular flow field | 1995-09-20 | Paper |
| Direct complements of invariant Lagrangian subspaces and minimal factorizations of skew-symmetric rational matrix functions | 1994-01-30 | Paper |