176 citations · 688 across the 19 of their papers we have counts for
9 papers · 1 filter
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…
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…
Transient localized wave patterns and their application to migraine
Markus A Dahlem, Thomas M Isele
Transient dynamics is pervasive in the human brain and poses challenging problems both in mathematical tractability and clinical observability. We investigate statistical propertie…
Two-dimensional wave patterns of spreading depolarization: retracting, re-entrant, and stationary waves
Markus A. Dahlem, Rudolf Graf, Anthony J. Strong +6
We present spatio-temporal characteristics of spreading depolarizations (SD) in two experimental systems: retracting SD wave segments observed with intrinsic optical signals in chi…
Controlling the onset of traveling pulses in excitable media by nonlocal spatial coupling and time-delayed feedback
Felix M. Schneider, Eckehard Schoell, Markus A. Dahlem
The onset of pulse propagation is studied in a reaction-diffusion (RD) model with control by augmented transmission capability that is provided either along nonlocal spatial coupli…
Time-delayed feedback in neurosystems
E. Schoell, G. Hiller, P. Hoevel +1
The influence of time delay in systems of two coupled excitable neurons is studied in the framework of the FitzHugh-Nagumo model. Time-delay can occur in the coupling between neuro…