Mandell A J, Selz K A
Florida Atlantic University, Boca Raton 33431, USA.
Psychiatry. 1995 Nov;58(4):371-90. doi: 10.1080/00332747.1995.11024741.
ADVANCES in the theory of nonlinear differential equations and their statistical representations have yielded a powerful, qualitatively descriptive yet quantitative language that captures characteristic patterns of behavior (what the psychoanalyst Roy Schafer calls "continuity, coherence, and consistency of action") that has begun to influence studies of complex systems in motion as diverse in specifics as signatory patterns of discharge of neurochemically defined single neurons and the dynamical structures characteristic of a particular composer's music. What might be called personality theories of neurobiological dynamics have arisen to replace neurobiological theories of personality. It is in this way that rigorously proven and powerful general mathematical insights have changed the face of determinism in research in brain and behavior. Two examples: (1) Very complicated looking behavior of neurobiological forced-dissipative (expanding and contracting) systems over time take place on low dimensional abstract surfaces on which only a few underlying abstract parameters control the action. (2) Independent of specific details (chemical, electrical, and/or behavioral), there exist a relatively few fundamental categories of behavior in time and transitions, among them a property called universality. Results from this new theoretical, in contrast with experimental, reductionism yield analogies with and new approaches to historically important dynamic ideas about personality and character patterns that are equally relevant to micro and macrocomplex systems such as neural membrane receptor proteins and individual personality styles. Research findings achieved over the past decade and a half in our laboratory and others in neurochemistry, neurophysiology, and animal and human behavior, as well as the results of a new demonstration experiment involving the prediction of dynamical category membership from abstract expressive motion in humans, are used to exemplify this use of a quantitative dynamic category theory across disciplinary levels in brain and behavior. Multiple measures of complexity adapted from current research in the statistical properties of chaos on unobtrusively observed and reconstructed orbits on the computer screen made by non-premorbid subjects executing content-free, computer-game-like tasks with a mouse, were used to reliably differentiate the "signatures" of two Axis II diagnoses as established using SCID-II criteria. Whereas the techniques of nonlinear systems have achieved some success in quantifying and stimulating the dynamical styles of relatively local phenomena such as the spontaneous behavior of neuronal membrane conductances, single neurons, neural networks, and field electrical events, we think that the real power of these techniques lies in their quantitative description and statistical prediction of global patterns of behavior of entire systems. For example, since the late 1970s our work has shown that these measures could be used to discriminate categories of drug action and dose when applied to patterns of rat exploratory behavior in space and time. The combination of abstract generality and quantitative precision of these methods suggests their usefulness as a cross-disciplinary language for fields like psychiatry that deal with complicated behavior of both neurobiological elements and "the whole person."
非线性微分方程理论及其统计表示法的进展,产生了一种强大的、定性描述但定量的语言,这种语言捕捉到了行为的特征模式(精神分析学家罗伊·谢弗称之为“行动的连续性、连贯性和一致性”),这种模式已开始影响对处于运动中的复杂系统的研究,这些系统在具体细节上差异很大,比如神经化学定义的单个神经元放电的特征模式以及特定作曲家音乐的动态结构。所谓神经生物学动力学的人格理论已经出现,以取代人格的神经生物学理论。正是通过这种方式,经过严格证明且强大的一般数学见解改变了大脑与行为研究中的决定论面貌。举两个例子:(1)神经生物学强迫耗散(扩张和收缩)系统随时间呈现出看似非常复杂的行为,这些行为发生在低维抽象曲面上,在这些曲面上只有少数潜在的抽象参数控制着行为。(2)与具体细节(化学、电学和/或行为方面)无关,在时间和转变方面存在相对较少的基本行为类别,其中包括一种称为普遍性的特性。与实验性还原论形成对比的是,这种新理论的结果产生了与关于人格和性格模式的具有历史重要性的动态观念的类比以及新方法,这些观念对于微观和宏观复杂系统同样相关,比如神经膜受体蛋白和个体人格风格。过去十五年间我们实验室以及其他实验室在神经化学、神经生理学、动物和人类行为方面取得的研究成果,以及一项新的示范实验的结果,该实验涉及从人类抽象表达运动预测动态类别归属,这些都被用来例证这种定量动态类别理论在大脑与行为跨学科层面的应用。从当前关于混沌统计特性的研究中改编而来的多种复杂性度量方法,应用于在电脑屏幕上对非患病受试者执行无内容、类似电脑游戏的鼠标任务时不显眼地观察和重建的轨迹,被用来可靠地区分使用SCID-II标准确定的两种轴II诊断的“特征”。虽然非线性系统技术在量化和激发相对局部现象的动态风格方面取得了一些成功,比如神经元膜电导、单个神经元、神经网络和场电事件的自发行为,但我们认为这些技术的真正力量在于它们对整个系统行为全局模式的定量描述和统计预测。例如,自20世纪70年代末以来,我们的研究表明,当应用于大鼠在空间和时间上的探索行为模式时,这些度量方法可用于区分药物作用和剂量类别。这些方法的抽象普遍性和定量精确性相结合,表明它们作为一种跨学科语言对于像精神病学这样处理神经生物学元素和“整个人”的复杂行为的领域是有用的。