上海大学学报(自然科学版) ›› 2016, Vol. 22 ›› Issue (5): 616-623.doi: 10.3969/j.issn.1007-2861.2015.02.014

• 数理化科学 • 上一篇    下一篇

两种立方体构型的微泡超声造影剂的温度场

杨青1, 徐凯宇1,2, 冯江涛1,2   

  1. 1. 上海大学 上海市应用数学和力学研究所, 上海 200072; 2. 上海大学理学院, 上海 200444
  • 收稿日期:2015-04-12 出版日期:2016-10-31 发布日期:2016-10-31
  • 通讯作者: 徐凯宇(1956—), 男, 教授, 博士生导师, 博士, 研究方向为微纳米力学、生物材料力学. E-mail: kyxu@shu.edu.cn
  • 作者简介:徐凯宇(1956—), 男, 教授, 博士生导师, 博士, 研究方向为微纳米力学、生物材料力学. E-mail: kyxu@shu.edu.cn
  • 基金资助:

    国家杰出青年科学基金资助项目(11102105); 上海市自然科学基金资助项目(15ZR1416100)

Temperature field of microbubble ultrasonic contrast agent in cube and closely-packed cube configurations

YANG Qing1, XU Kaiyu1,2, FENG Jiangtao1,2   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China;
    2. College of Sciences, Shanghai University, Shanghai 200444, China
  • Received:2015-04-12 Online:2016-10-31 Published:2016-10-31

摘要:

通过计算黏性耗散产生的能量, 研究了磷脂薄膜超声造影剂在外界声压激励下, 单一微泡在血液环境内的温度场. 结合实验观测, 构造了以一个红细胞为中心, 8 个微泡为顶点的正立方体模型, 计算了微泡引起的中心温度的增量. 对于微泡浓度较高或出现微泡团黏滞在组织机体表面上的情况, 提出了密排面心立方体模型, 计算了微泡团对矩形区域产生的温度场, 得到了在此范围内的最高温度. 最后对所提出模型的安全性进行分析, 证明了其可行性和有效性.

关键词:  耗散能 ,  密排面心立方体模型,  温度场 ,  正立方体模型 , 超声造影剂

Abstract:

This paper studies the temperature field in blood by calculating viscous energy dissipation of phospholipid membrane based ultrasonic contrast agent under the sound pressure excitation. According to the experimental observation, a cube model with a red blood cell as center and eight microbubbles as vertices is proposed. Temperature rise of the center is also calculated. Furthermore, considering the condition of high microbubble concentration and its adhesion to the surface of organizations, a cube model of closelypacked structure is also built. Temperature field in a rectangular region and the peak temperature is obtained though this model. Safety is analyzed in detail to demonstrate feasibility and effectiveness of the proposed model.

Key words: closely-packed cube model,  cube model ,  dissipated energy ,  temperature field , ultrasonic contrast agent