Tanaka Martin L, Nussbaum Maury A, Ross Shane D
Department of Orthopaedic Surgery, Wake Forest University, Winston-Salem, NC 27157, USA.
J Biomech. 2009 May 29;42(8):1017-22. doi: 10.1016/j.jbiomech.2009.02.008. Epub 2009 Apr 3.
The threshold of stability (ToS) is introduced as a new tool for evaluating spinal stability. Current methods have evaluated the magnitude of spinal kinematic variability, stability diffusion, or Lyapunov exponents. This present method differs by modifying task difficulty to obtain a critical value delineating regions of stability and instability. Conceptually, as task difficulty increases, kinematic variability of the system increases and the basin of stability decreases. When kinematic variability exceeds the basin of stability, stability cannot be maintained over time. This concept is first illustrated using a mathematical model, from which an effective potential function was calculated to show the relationships among kinematic variability, the basin of stability, and task difficulty. In addition, an experiment was performed to evaluate the sensitivity of the ToS to changes in postural control using visual feedback as a control variable. The ToS was found to be more sensitive than the Lyapunov exponent to removal of visual feedback, suggesting it may have use as a diagnostic indicator (e.g. for low back pain). Furthermore, this new method has an additional advantage in which minimal instrumentation is needed. Its simplicity, sensitivity, and low cost suggest that the ToS has potential as a diagnostic or prognostic tool in a clinical setting.
稳定性阈值(ToS)作为一种评估脊柱稳定性的新工具被引入。目前的方法评估的是脊柱运动学变异性、稳定性扩散或李雅普诺夫指数的大小。当前这种方法的不同之处在于通过改变任务难度来获得一个临界值,以此划分稳定和不稳定区域。从概念上讲,随着任务难度增加,系统的运动学变异性增加,稳定性范围减小。当运动学变异性超过稳定性范围时,稳定性就无法随时间维持。这一概念首先通过一个数学模型进行说明,从中计算出一个有效势函数以展示运动学变异性、稳定性范围和任务难度之间的关系。此外,进行了一项实验,以视觉反馈作为控制变量来评估ToS对姿势控制变化的敏感性。结果发现,ToS对去除视觉反馈的敏感性高于李雅普诺夫指数,这表明它可能用作诊断指标(例如用于腰痛)。此外,这种新方法还有一个额外优势,即所需仪器最少。其简单性、敏感性和低成本表明,ToS在临床环境中具有作为诊断或预后工具的潜力。