Efficient control of transient wave forms to prevent spreading depolarizations
| dc.creator | Dahlem, Markus A. | |
| dc.creator | Schneider, Felix M. | |
| dc.creator | Schoell, Eckehard | |
| dc.date | 2007-05-23 | |
| dc.date | 2007-09-27 | |
| dc.date.accessioned | 2026-07-07T08:32:12Z | |
| dc.date.available | 2026-07-07T08:32:12Z | |
| dc.description | In various neurological disorders spatio-temporal excitation patterns constitute examples of excitable behavior emerging from pathological pathways. During migraine, seizure, and stroke an initially localized pathological state can temporarily spread indicating a transition from non-excitable to excitable behavior. We investigate these transient wave forms in the generic FitzHugh-Nagumo (FHN) system of excitable media. Our goal is to define an efficient control minimizing the volume of invaded tissue. The general point of such a therapeutic optimization is how to apply control theory in the framework of structures in differential geometry by regarding parameter plane M of the FHN system as a differential manifold endowed with a metric. We suggest to equip M with a metric given by pharmacokinetic-pharmacodynamic models of drug receptor interaction. | |
| dc.identifier | https://arxiv.org/abs/0705.3398 | |
| dc.identifier | http://arxiv.org/abs/0705.3398 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/138723 | |
| dc.subject | Pattern Formation and Solitons | |
| dc.title | Efficient control of transient wave forms to prevent spreading depolarizations | |
| dc.type | text |