多尺度循環(huán)系統(tǒng)數(shù)學(xué)模型研究
[Abstract]:Cardiovascular disease is one of the highest mortality diseases in the world. Its pathological research, early prevention and clinical diagnosis and treatment is a very difficult task. The mathematical model of circulatory system can provide an effective auxiliary means for the study of cardiovascular system physiology and the diagnosis and treatment of cardiovascular diseases. The mathematical model of multi-scale circulation system mainly studies the multi-physical field problem and multi-dimensional modeling technology in the coupling of system, organ and tissue hierarchical circulation system model. The establishment of multi-scale mathematical model of circulatory system can help to quantitatively analyze the physiological and pathological characteristics of circulatory system at all levels and improve the prevention, diagnosis and treatment of cardiovascular diseases. The research goal of this paper is to establish the mathematical model of multi-scale circulation system by studying the key technical problems in the modeling of different levels of circulation system. The main work is as follows: 1. The key technical problems in the study of multi-scale model of circulatory system are solved, including (1) the autonomic nervous system model technology to simulate heart rate variability; (2) the numerical calculation technology to improve the simulation efficiency of one-dimensional (One-Dimensional,1D) microcirculatory model, and (3) the coupling technology of the whole circulation system and the microcirculatory system. 2. A coupling model of global circulatory system and autonomic nervous system was established, and a specific parameter to characterize parasympathetic nerve activity was proposed based on the model. The validity of the parameter was preliminarily verified by clinical data, and its physiological mechanism was analyzed based on the model. 3. The 1D model of microcirculatory system based on rat mesenteric experimental data was established, and the attenuation characteristics of blood flow pulsation were simulated. The effectiveness of the model is verified by model-based animal experiments. Using this model, it is found that the resistance and compliance of microvessels are the main reasons for the pulsatile attenuation of blood flow. 4. Based on the structural parameters, the model of global circulation and microcirculatory system is coupled, and it is found that the structural lesion of microcirculation will change the level of global blood pressure. The simulation results also show that the pulsation of peripheral blood pressure decreases and affects the function of microcirculatory in the case of hypertension. In the above work, the innovations of this paper are as follows: 1. A multi-scale model technology based on the coupling of vascular resistance and compliance is proposed, which effectively solves the problem of the combination of the whole circulation and the microcirculatory system model. It provides a useful exploration for the simulation study of the fusion of hemodynamics and functional characteristics. 2. Based on the research of global circulation model combined with autonomic nerve regulation mechanism, an improved heart rate deceleration ability parameter is proposed, and the mechanism of algorithm improvement is expounded with the help of the model. It provides a new method for promoting the clinical application of autonomic nervous system evaluation index. 3. An efficient numerical calculation method in 1D microcirculatory system modeling is proposed. The established model can systematically simulate the phenomenon of blood flow pulsation attenuation, which changes the present situation of the lack of technical means in the study of the mechanism of circulatory blood flow pulsation attenuation. It provides a new platform for studying the mechanical signal transduction process mediated by blood flow pulsation in microcirculation. The mathematical model of multi-scale circulatory system established in this paper provides an effective quantitative research technical platform for physiological and pathological research of circulatory system, and when it is perfected and applied, it will be beneficial to promote the basic research of cardiovascular diseases. Improve the level of cardiovascular health of the people.
【學(xué)位授予單位】:浙江大學(xué)
【學(xué)位級別】:博士
【學(xué)位授予年份】:2013
【分類號】:R311
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