Basic Study on Active-Feedback Control of Non-Linear Heat and Fluid Flow

用电路类比的方法建立了血液流动分析模型。根据冠状动脉周围血管具有分维结构的解剖特征，计算其流动阻力，并将其嵌入模型中。还考虑了血管壁的非线性弹性。该模型给出的流速和血压波形与临床数据基本一致。采用微压传感器和超声流量传感器进行活体局部血流量和压力测量。本文利用X光血管造影图像数据对冠状动脉进行了三维重建，并进行了初步测试，以建立基于临床血管造影的血流分析模型。根据Tedoriya博士及其合作者在乳腺交感神经切除术临床病例中的知识(Tedoriya博士及其合作者的实验结果)，为了用随机模型描述受心脏脉搏波动和激素平衡控制的心血管自主神经系统的状态，我们探讨了应用协方差结构分析和独立成分分析的可能性，目的是从观测数据中找出重要因素。特别是，我们对由这些分析得到的因素独立性检验的理论方面进行了研究。

A blood flow analysis model has been developed by using an analogy to an electric circuit. Flow resistance of peripheral coronary blood vessel is evaluated based on its anatomical feature having a fractal structure, and incorpolated into the model. Non-linear elasticity of blood vessel wall is also taken into account. The wave forms of flow rate and blood pressure given by the present model are in accordance with the clinical data. Local blood flow and pressure was measured in-vivo by using micro pressure sensor and ultra sound flow sensor. The amount of dataset is somewhat insufficient at this momonet, but the reliability of the measurement is verified.Three-dimensional reconstruction of coronary artery by using X-Ray angiography image data is examined, and preliminary test is made in order to develop blood flow analysis model based on clinical angiography.According to the knowledge from clinical cases of breast sympathectomy(experimental results by Dr.Tedoriya and collaborators), in order to describe the state of cardiovascular autonomic nervous system, that is controlled by heart pulse fluctuation and hormone balance, with stochastic models, we investigate the possibility of applying the covariance structure analysis and the independent component analysis, whose aim is to find important factors from observed data. Particularly, we studied theoretical aspect of testing for independence of factors which are obtained by those analysis.