176 citations · 688 across the 19 of their papers we have counts for
20 papers
How does Spreading Depression Spread? - Physiology and Modeling
Bas-Jan Zandt, Bennie ten Haken, Michel J. A. M. van Putten +1
Spreading depression (SD) is a wave phenomenon in gray matter tissue. Locally, it is characterized by massive re-distribution of ions across cell membranes. As a consequence, there…
Understanding migraine using dynamical network biomarkers
Markus A. Dahlem, Jürgen Kurths, Michel D. Ferrari +3
Background: Mathematical modeling approaches are becoming ever more established in clinical neuroscience. They provide insight that is key to understand complex interactions of net…
Analyzing critical propagation in a reaction-diffusion-advection model using unstable slow waves
Frederike Kneer, Klaus Obermayer, Markus A. Dahlem
The effect of advection on the critical minimal speed of traveling waves is studied. Previous theoretical studies estimated the effect on the velocity of stable fast waves and pred…
Dynamics from seconds to hours in Hodgkin-Huxley model with time-dependent ion concentrations and buffer reservoirs
Niklas Hübel, Markus A. Dahlem
The classical Hodgkin--Huxley (HH) model neglects the time-dependence of ion concentrations in spiking dynamics. The dynamics is therefore limited to a time scale of milliseconds,…
Nucleation of reaction-diffusion waves on curved surfaces
Frederike Kneer, Eckehard Schöll, Markus A. Dahlem
We study reaction-diffusion waves on curved two-dimensional surfaces, and determine the influence of curvature upon the nucleation and propagation of spatially localized waves in a…
Bistable dynamics underlying excitability of ion homeostasis in neuron models
Niklas Hübel, Eckehard Schöll, Markus A. Dahlem
When neurons fire action potentials, dissipation of free energy is usually not directly considered, because the change in free energy is often negligible compared to the immense re…