Numerical simulation of solid tumor angiogenesis with Endostatin treatment： a combined analysis of inhibiting effect of anti-angiogenic factor and micro mechanical environment of extracellular matrix

To investigate the influence of anti-angiogenesis drug Endostatin on solid tumor angiogenesis, a mathematical model of tumor angiogenesis was developed with combined influences of local extra-cellular matrix mechanical environment, and the inhibiting effects of Angiostatin and Endostatin. Simulation results show that Angiostatin and Endostatin can effectively inhibit the process of tumor angiogenesis, and decrease the number of blood vessels in the tumor. The present model could be used as a valid theoretical method in the investigation of anti-angiogenic therapy of tumors.     

不同泥沙含量河水的表面张力系数测定

表面张力系数的测量方法有很多，其中拉脱法是简单有效的一种，本实验基于拉脱法通过改变河水泥沙含量、温度进行表面张力系数测量，以探究泥沙含量、温度的变化是否会对液体表面张力系数的测量值造成影响，并对比分析在澄清和悬浊状态下河水表面张力系数的变化情况。通过对实验结果分析可知，液体表面张力测量值与泥沙含量、温度变化有关，河水在悬浊状态下的表面张力系数整体上大于澄清状态下的表面张力系数。     

Simulation of tumor microvasculature and microenvironment response to anti-angiogenic treatment by angiostatin and endostatin

The effects of anti-angiogenesis treatment by angiostatin and endostatin on normalization of tumor microvasculature and microenvironment are investigated, based on mathematical modeling and numerical simulation of tumor anti-angiogenesis and tumor haemodynamics. The results show that after anti-angiogenesis treatment: (i) the proliferation, growth, and branching of neo-vessels are effectively inhibited, and the extent of vascularization in tumors is accordingly reduced. (ii) the overall blood perfusion inside of tumor is declined, the plateau of tumor interstitial fluid pressure (IFP) is relieved, the interstitial fluid oozing out from the tumor periphery into the surrounding normal tissue is reduced, the reduction of overall extravasation across vasculature to tumor interstium is much less than the decreased overall blood perfusion, due to the decline of IFP, the intravasations is remarkablely effected by the change, in some cases there are no intravasation flow appear.     

称重式光学雨量计的设计

对现有雨量计存在的问题进行了分析, 针对问题提出了一种降雨量监测设备改进方案. 将结构简单的 机械称重式雨量计与光学C C D图像采集技术相结合, 将降雨监测点与通信基站进行共建共享. 实现降雨量与雨滴 谱信息的远程在线自动监测, 改进后的称重式光学雨量计从组成结构上就规避了现有仪器的不足, 有效提高了降 雨监测的广泛性, 节约了有限的土地资源并减少了重复建设和投资     

抗血管生成治疗抑制实体肿瘤细胞生长的数值模拟:应用血管生成与肿瘤生长的耦合数学模型

为研究抗血管生成因子angiostatin和抗血管生成药物endostatin对肿瘤血管生成和肿瘤细胞的抑制作用,建立耦合肿瘤血管生长、肿瘤生长和血液灌注的数学模型.模拟结果显示抗血管生成因子angiostatin和抗血管生成药物endostatin可明显抑制血管生成和减少肿瘤细胞数量,从而起到改善肿瘤组织内部异常微环境的作用.模型可作为肿瘤抗血管生成治疗的一种理论研究.     

血管抑素与内皮抑素作用下抗血管生成治疗对肿瘤微血管网与微环境影响的模拟研究

基于对血管抑素和内皮抑素作用下肿瘤抗血管生成及血液动力学的数学建模与数值模拟,研究抗血管生成治疗对肿瘤微血管网的影响及对微环境流动的改善作用.研究表明,抗血管生成治疗后:1)新生血管的生长与分叉受到抑制,血管化程度降低;2)血液灌注量减少,间质高压得到缓解,渗入宿主组织的间质液减少,负向跨壁流量大幅下降.     

Numerical simulation of avascular tumor growth based on p27 gene regulation

A multi-scale continuous-discrete model based on the effects of the p27 gene control is built to simulate the avascular tumor growth. At the tissue level, the continuous Eulerian model is adopted to determine the distribution of the concentration of oxygen, the extracellular matrix (ECM), and the matrix-degradative enzyme (MDE). At the cellular level, the discrete Lagrangien model is adopted to determine the movement, the proliferation, and the death of single tumor cells (TCs). At the genetic level, whether a cell is committed to mitosis is determined by solving a set of equations modeling the effects of the p27 gene control. The avascular morphological evolution of the solid tumor growth is simulated, including the radius of the solid tumor, the number of the TCs, the oxygen distribution over time, and the inhibiting effect of the up-regulating p27 gene expression.     

浅析一种空气粘度的测量方法

基于流体力学原理,设想气垫导轨上的滑块与导轨间分为速度不同的空气层,结合空气粘性系数的求解方法,反向推导空气粘性系数表达式,得出空气粘度的计算式.通过将光杠杆原理测量得到的空气层厚度、滑块与导轨接触面积及空气粘性系数代入空气粘度的计算式,最终算出了实验条件下的空气粘度.     

千分表在梁弯曲法测金属弹性模量中的应用

对在用的梁弯曲法测金属弹性模量实验仪存在的问题进行了分析, 针对问题提出了一种实验仪器改 进方案, 将在用弹性模量测定仪的光杠杆和望远镜系统撤掉, 并将千分表装载在仪器的立柱上, 可以上下自由移 动, 方便千分表的装上或取下, 利用逐差法处理直接读取的千分表表盘数据, 即可得到待测金属片的弹性模量. 改 进后的弹性模量测定仪从装配结构上就避免了现有仪器的不足, 增强了该实验的可操作性, 并从源头上减少了人 为误差和系统误差     

Numerical simulation of inhibiting effects on solid tumour cells in anti-angiogenic therapy: application of coupled mathematical model of angiogenesis with tumour growth

To investigate the inhibiting effects of the anti-angiogenic factor andostatin and the anti-angiogenic drug endostatin on tumour angiogenesis and tumour cells, a coupled mathematical model of tumor angiogenesis with tumour growth and blood perfusion is developed. Simulation results show that angiostatin and endostatin can improve the abnormal microenvironment inside the tumour tissue by effectively inhibiting the process of tumor angiogenesis and decreasing tumour cells. The present model can be used as a valid theoretical method in the investigation of the tumour anti-angiogenic therapy.