Zobrazeno 1 - 10
of 149
pro vyhledávání: '"Dahlem, Markus A."'
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 is a sustained membrane depolarization and tissue polarization that d
Externí odkaz:
http://arxiv.org/abs/1411.4554
Autor:
Dahlem, Markus A., Kurths, Jürgen, Ferrari, Michel D., Aihara, Kazuyuki, Scheffer, Marten, May, Arne
Background: Mathematical modeling approaches are becoming ever more established in clinical neuroscience. They provide insight that is key to understand complex interactions of network phenomena, in general, and interactions within the migraine gener
Externí odkaz:
http://arxiv.org/abs/1404.6126
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 predicted the existence of a critical advection strength below which propa
Externí odkaz:
http://arxiv.org/abs/1404.5824
Autor:
Hübel, Niklas, Dahlem, Markus A.
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, which is determined by the membrane capacitance multiplied by the resi
Externí odkaz:
http://arxiv.org/abs/1404.3031
Familial hemiplegic migraine (FHM) is a rare subtype of migraine with aura. A mutation causing FHM type 3 (FHM3) has been identified in SCN1A encoding the Nav1.1 Na$^+$ channel. This genetic defect affects the inactivation gate. While the Na$^+$ tail
Externí odkaz:
http://arxiv.org/abs/1403.6801
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 an excitable medium modelled by the generic FitzHugh-Nagumo model. We s
Externí odkaz:
http://arxiv.org/abs/1403.1716
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 reservoir stored in neural transmembrane ion gradients and the long-term
Externí odkaz:
http://arxiv.org/abs/1310.1941
Autor:
Dahlem, Markus A., Rode, Sebastian, May, Arne, Fujiwara, Naoya, Hirata, Yoshito, Aihara, Kazuyuki, Kurths, Jürgen
Computational methods have complemented experimental and clinical neursciences and led to improvements in our understanding of the nervous systems in health and disease. In parallel, neuromodulation in form of electric and magnetic stimulation is gai
Externí odkaz:
http://arxiv.org/abs/1308.3552
Autor:
Dahlem, Markus A.
Migraine is a common disabling headache disorder characterized by recurrent episodes sometimes preceded or accompanied by focal neurological symptoms called aura. The relation between two subtypes, migraine without aura (MWoA) and migraine with aura
Externí odkaz:
http://arxiv.org/abs/1303.2256
Autor:
Dahlem, Markus A, Isele, Thomas M
Transient dynamics is pervasive in the human brain and poses challenging problems both in mathematical tractability and clinical observability. We investigate statistical properties of transient cortical wave patterns with characteristic forms (shape
Externí odkaz:
http://arxiv.org/abs/1211.0628