Starting, stopping, and resetting biological oscillators: in search of optimum perturbations
Starting, stopping, and resetting biological oscillators: in search of optimum perturbations
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DOI：
10.1016/j.jtbi.2004.04.043
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发表时间：
2004-10-21
影响因子：
2
通讯作者：
Paydarfar, D
中科院分区：
文献类型：
--
作者：
Forger, DB;Paydarfar, D
生物振荡器通常受到单一的短暂刺激来扰乱正在进行的节奏。在刺激后，振荡器可以恢复，尽管它的相位相对于原始周期可能提前或延迟。一个短暂的干扰也可以停止正在进行的节奏。亚瑟·温弗里系统地将这些反应归类为短暂的扰动，这是由刺激的强度和给予刺激的周期中的阶段决定的。从温弗里的工作中产生了一个自然的问题。在达到预期效果方面，某些刺激形状是否比其他形状更好？本研究探讨了这个问题：(1)相空间几何分析，(2)变分，和(3)对噪声扰动的响应分析。方法I和方法2可以得到精确的解，但在生物学中的适用性有限，因为它们需要振荡器的详细数学描述。方法3适用于任何没有数学前提的振子。我们通过在神经起搏器模型中找到启动和停止重复放电的最佳刺激，以及在人类生物钟模型中找到重置昼夜节律的最佳光刺激来验证该方法。我们认为，阐明最佳刺激形状可能有助于研究生物和医学中的许多周期现象。最佳刺激可以用来诱导所需的行为，而不会产生不良的副作用。(C)2004爱思唯尔有限公司。保留所有权利。
Biological oscillators are commonly subjected to a single brief stimulus to perturb the ongoing rhythm. After stimulation, the oscillator can recover although its phase may be advanced or delayed relative to the original cycle. A single transient perturbation can also stop the ongoing rhythm. Arthur Winfree systematically classified these responses to brief perturbations, as determined by the strength of the stimulus, and the phase within the cycle at which the stimulus was given. A natural question arises from Winfree's work. Are certain stimulus shapes better than others at achieving a desired effect? The present study explores this question using: (1) analysis of phase space geometry, (2) calculus of variations, and (3) analysis of responses to noisy perturbations. Methods I and 2 can yield exact solutions, but have limited applicability in biology because they require a detailed mathematical description of the oscillator. Method 3 is applicable to any oscillator without mathematical prerequisites. We validate this method by finding optimum stimuli that start and stop repetitive firing in a neural pacemaker model, and the optimum light stimulus for resetting the circadian rhythm in a model of the human circadian clock. We propose that the elucidation of optimum stimulus shapes may be useful for studying many periodic phenomena in biology and medicine. Optimum stimuli can be used to induce a desired behavior without producing undesirable side effects. (C) 2004 Elsevier Ltd. All rights reserved.