Milanowski Piotr, Suffczynski Piotr
1 Department of Biomedical Physics, Faculty of Physics, University of Warsaw, Warsaw, Poland.
Int J Neural Syst. 2016 Dec;26(8):1650053. doi: 10.1142/S0129065716500532. Epub 2016 Aug 22.
Complex dynamical systems may exhibit sudden autonomous changes from one state to another. Such changes that occur rapidly in comparison to the regular dynamics have been termed critical transitions. Examples of such phenomena can be found in many complex systems: changes in climate and ocean circulation, changes in wildlife populations, financial crashes, as well as in medical conditions like asthma attacks and depression. It has been recognized that critical transitions, even if they arise in completely different contexts and situations, share several common attributes and also generic early-warning signals that indicate that a critical transition is approaching. In the present study, we review briefly the general characteristics that have been observed in systems prior to critical transitions and apply these general indicators to nearly 300 epileptic seizures collected from human subjects using invasive EEG. Only in about 8% of the patients was evidence of critical transitions found. In the remaining majority of cases no early warning signals that behaved consistently prior to seizures were observed. These results do not rule out the possibility of critical transitions to seizure but point to limited relevance of their early warning signals in the context of human epilepsy observed using intracranial EEG recordings.
复杂动力系统可能会呈现出从一种状态到另一种状态的突然自主变化。与常规动力学相比快速发生的此类变化被称为临界转变。这种现象的例子在许多复杂系统中都能找到:气候和海洋环流的变化、野生动物种群的变化、金融崩溃,以及诸如哮喘发作和抑郁症等医学状况。人们已经认识到,临界转变即使出现在完全不同的背景和情形中,也具有几个共同特征以及表明临界转变即将来临的通用早期预警信号。在本研究中,我们简要回顾了在临界转变之前系统中观察到的一般特征,并将这些一般指标应用于从人类受试者身上通过侵入性脑电图收集的近300次癫痫发作。仅在约8%的患者中发现了临界转变的证据。在其余大多数病例中,未观察到在发作前表现一致的早期预警信号。这些结果并不排除向癫痫发作发生临界转变的可能性,但指出了在使用颅内脑电图记录观察到的人类癫痫背景下其早期预警信号的相关性有限。