本文選題：生物多孔介質　切入點：血管樹　出處：《華中科技大學》2014年博士論文

【摘要】：隨著科學技術、現(xiàn)代醫(yī)療水平的發(fā)展與進步,生物多孔介質熱輸運的研究在腫瘤熱療、低溫外科、移植器官的冷凍儲存、生物組織的切割與焊接、疾病診斷、食物的儲存和保鮮及熱舒適分析等生物科學與醫(yī)學領域受到了廣泛關注,已成為國際學術界的研究熱點之一。大量研究表明生物多孔介質的輸運通道如血管樹、支氣管樹、動植物養(yǎng)分輸運系統(tǒng)等都具有統(tǒng)計自相似的特征,這種輸運系統(tǒng)的微結構在一定尺度范圍內具有分形特征,并可采用類分形樹狀分叉網(wǎng)絡來描述。所以,分形幾何理論可用于分析這類生物多孔介質的熱輸運問題。在本文中,作者主要研究由血管樹及其周圍的組織組成的具有分形特征的生物多孔介質的熱輸運特性。預計該研究在了解和揭示生物組織的熱輸運特性、物理機理及臨床應用中有重要的科學意義和實際應用價值。 本文包括六章。第一章綜述了生物多孔介質的熱輸運的研究背景、理論研究和實際應用方面的進展,并簡單介紹了類分形樹狀分叉網(wǎng)絡和分形幾何理論。第二章基于隨機分布的血管樹的母管直徑滿足分形標度律,我們分析了含有隨機分布的血管樹的生物多孔介質的熱傳導特性,提出了含有隨機分布的血管樹的生物多孔介質的有效熱導率的分形模型。理論模型預測與已有的死亡組織的實驗數(shù)據(jù)吻合較好。并分析了有效熱導率隨血管樹的結構參數(shù)的定量變化關系。第三章考慮了血液流動的影響,應用分形理論與方法分析了含有隨機分布的血管樹的活體生物組織的傳熱特性,提出了含有隨機分布的血管樹的活體生物組織的有效熱導率的分形模型,并詳細討論了考慮血液流動后,血管樹的結構參數(shù)對有效熱導率的影響�；铙w組織的有效熱導率的預測與現(xiàn)有的活體組織的實驗數(shù)據(jù)吻合較好,比死亡組織的實驗數(shù)據(jù)和無血液流動的有效熱導率模型的預測高。第四章基于血液循環(huán)系統(tǒng),建立了由一個動脈血管樹和靜脈血管樹構成的血管網(wǎng)絡和其周圍的組織組成的生物組織模型。根據(jù)傅里葉定律和熱電模擬的方法,分別推導了死亡組織(無血液流動)和活體組織(有血液流動)的有效熱導率的解析表達式。兩種模型分別與死亡組織和活體組織的實驗數(shù)據(jù)吻合較好。第五章研究了含有血管樹的生物多孔介質徑向熱傳導特性,導出了生物多孔介質徑向熱流的有效熱導率的分布函數(shù)。第六章總結了本文的主要內容和創(chuàng)新點,而且對應用分形幾何理論研究生物多孔介質物理輸運特性等給予了展望。
[Abstract]:With the development and progress of science and technology, modern medical level, the study of thermal transport of biological porous media in tumor hyperthermia, hypothermia surgery, cryopreservation of transplanted organs, cutting and welding of biological tissue, disease diagnosis,Food storage, preservation, thermal comfort analysis and other biomedical and medical fields have received extensive attention, and has become one of the hot research topics in international academia.A large number of studies have shown that the transport channels of biological porous media, such as vascular tree, bronchial tree, plant and animal nutrient transport system, all have the characteristics of statistical self-similarity, and the microstructures of this transport system have fractal characteristics in a certain scale.The fractal tree-like bifurcation network can be used to describe it.Therefore, fractal geometry theory can be used to analyze the thermal transport of this kind of biological porous media.In this paper, the authors mainly study the thermal transport properties of porous media with fractal characteristics, which are composed of vascular trees and their surrounding tissues.It is expected that this study will be of great scientific significance and practical value in understanding and revealing the thermal transport characteristics, physical mechanism and clinical application of biological tissues.This paper includes six chapters.In the first chapter, the research background, theoretical research and practical application of thermal transport in biological porous media are reviewed, and the similar fractal tree bifurcation network and fractal geometry theory are briefly introduced.In the second chapter, based on the fact that the diameter of the parent tube of the randomly distributed vascular tree satisfies the fractal scaling law, we analyze the heat conduction characteristics of the porous medium containing the randomly distributed vascular tree.A fractal model of effective thermal conductivity of biological porous media containing randomly distributed vascular trees is proposed.The theoretical model prediction is in good agreement with the experimental data of existing death tissues.The relationship between effective thermal conductivity and the structural parameters of vascular tree was analyzed.In the third chapter, considering the effect of blood flow, the heat transfer characteristics of living tissues with randomly distributed vascular trees are analyzed by using fractal theory and method.A fractal model of effective thermal conductivity of living tissues with randomly distributed vascular trees is proposed. The effect of the structure parameters of vascular trees on effective thermal conductivity is discussed in detail.The prediction of the effective thermal conductivity of living tissue is in good agreement with the experimental data of living tissue, which is higher than that of the experimental data of dead tissue and the effective thermal conductivity model without blood flow.In chapter 4, based on the circulatory system, a biological tissue model is established, which is composed of a vascular network and its surrounding tissues.Based on Fourier's law and thermoelectric simulation, the analytical expressions of effective thermal conductivity of dead tissue (without blood flow) and living tissue (with blood flow) are derived respectively.The two models agree well with the experimental data of dead tissue and living tissue respectively.In chapter 5, the radial heat conduction characteristics of biological porous media containing vascular tree are studied, and the distribution function of effective thermal conductivity of radial heat flux in biological porous media is derived.In chapter 6, the main contents and innovations of this paper are summarized, and the application of fractal geometry theory to the study of physical transport characteristics of biological porous media is prospected.
【學位授予單位】：華中科技大學
【學位級別】：博士
【學位授予年份】：2014
【分類號】：R318.08;O357.3

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