Two-dimensional wave patterns of spreading depolarization: Retracting, re-entrant, and stationary waves

PHYSICA D-NONLINEAR PHENOMENA

卷:239

Article

Dahlem, Markus A.^1,2,3  Graf, Rudolf⁴  Strong, Anthony J.⁵  Dreier, Jens P.⁶  Dahlem, Yuliya A.^6,7  Sieber, Michaela⁷  Hanke, Wolfgang⁷  Podoll, Klaus⁸  Schoell, Eckehard¹ 

[1] Tech Univ Berlin, Inst Theoret Phys, D-1000 Berlin, Germany

[2] Otto VonGuericke Univ Magdegurg, Dept Neurol, D-39016 Magdeburg, Germany

[3] Leibniz Inst Neurobiol, D-39118 Magdeburg, Germany

[4] Max Planck Inst Neurol Res, Cologne, Germany

[5] Kings Coll London, Dept Clin Neurosci, Inst Psychiat, London, England

[6] Charite Campus Mitte, Dept Neurol, Berlin, Germany

[7] Univ Hohenheim, D-7000 Stuttgart, Germany

[8] Rhein Westfal TH Aachen, Dept Psychiat & Psychotherapy, Aachen, Germany

关键词: Pattern formation;    Reaction-diffusion;    Spiral waves;    Migraine;    Stroke;   

DOI  :  10.1016/j.physd.2009.08.009

来源: Elsevier

【 摘 要 】

We present spatio-temporal characteristics of spreading depolarizations (SD) in two experimental systems: retracting SD wave segments observed with intrinsic optical signals in chicken retina, and spontaneously occurring re-entrant SD waves that repeatedly spread across gyrencephalic feline cortex observed by laser speckle flowmetry. A mathematical framework of reaction-diffusion systems with augmented transmission capabilities is developed to explain the emergence and transitions between these patterns. Our prediction is that the observed patterns are reaction-diffusion patterns controlled and modulated by weak nonlocal coupling such as long-range, time-delayed, and global coupling. The described spatio-temporal characteristics of SD are of important clinical relevance under conditions of migraine and stroke. In stroke, the emergence of re-entrant SD waves is believed to worsen outcome. In migraine, retracting SD wave segments cause neurological symptoms and transitions to stationary SD wave patterns may cause persistent symptoms without evidence from noninvasive imaging of infarction. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

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