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

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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.