有效控制瞬态波形以防止扩展去极化
Efficient control of transient wave forms to prevent spreading depolarizations
摘要：
在各种神经系统疾病中，时空兴奋模式构成了从病理途径出现的可兴奋行为的示例。在偏头痛、癫痫发作和中风期间，最初局部的病理状态可以暂时扩散，表明从非兴奋性行为转变为兴奋性行为。我们调查这些瞬态波的形式在通用FitzHugh-Nagumo（FHN）系统的可激发介质。我们的目标是定义一种有效的控制，最大限度地减少侵入组织的体积。这种治疗优化的一般点是如何通过将FHN系统的参数平面M视为具有度量的微分流形，在微分几何结构的框架中应用控制理论。我们建议配备M与药物受体相互作用的药代动力学-药效学模型给出的度量。
英文摘要：
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.
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