Dynamics of Medical System Analysis based on Complex system and Quantum Physics

提出了一种从宏观角度分析社会系统的新方法。该方法要求概率分布满足Schrondinger型二次导数方程。基本方程中的二次导数适用于处理数据的模糊性和排除分布曲线的急剧变化。为了更好地处理数据的模糊性，我们引入了模糊导数和模糊积分。该模糊积分用于预测预测值的模糊度范围。几个算例表明，该方法能很好地给出经过数据点的光滑曲线。该方法也适用于日本的医疗预测。以疾病的年龄分布为例，证明了真实的势代表平稳分布的结构特征，虚势则反映分布的绝对值和分布形状的时变。还介绍了分布之间的相互作用，并表明其近似解包含了一个简单的净转移关系。提出了政治算子的概念作为系统分析的工具，并说明了它的实用性。

A new method is proposed to analyze social systems from their macroscopic point of view. In this method, the probability distribution is requested to satisfy the quadratic derivative equation of Schrondinger-type. The quadratic derivative in the basic equation is suitable to treat of fuzziness of data and to exclude sharp changes in the distribution curve. In order to treat properly the ambiguity of the data, we introduce fuzzy derivative and fuzzy integration. This fuzzy integration is used to predict the ambiguity range of the predicted values. Several example shows that the method works well to give a smoothed curve going through the data points. The method is also applied to the prediction of medical in Japan. Taking the age distribution of disease as examples, we show that the real potentials represent the structural characteristics of stationary distribution and the imaginary potentials indicate the time-change of the absolute value and the shape of distribution. Interactions between distribution are also introduced and it is shown that its approximate solution includes a simple relation of the net transfer. An idea of politics operator is proposed as a tool of system analysis and the usefulness is shown.