导热对研究冷刀治疗的传热过程很重要.为了对冷刀治疗热过程有更好的理解,本文研究了生物组织的当量导热系数以及相关因素对当量导热系数的影响.将生物组织视为多孔介质,包括血管和正常组织两部分.建立了血管的分形模型,通过分形维的概念得到血管树的当量导热系数,采用盒计数法得到生物组织的当量导热系数.研究结果表明血管树的形状对组织的当量导热系数有很大的影响.
Thermal conduction is very important in the study of heat transfer process in cryosurgery.To get a better understanding of the heat transfer process in cryosurgery,the effective thermal conductivity(ETC) of biological tissue and the effect of related factors on the ETC of the biological tissue were studied.The biological tissue was assumed as a porous media including blood vessels and normal tissue.A fractal model of vascular tree was firstly established and the ETC of the vascular tree was studied based on fractal methods.A box-counting method was used to calculate the ETC of the biological tissue.The results showed that the geometry of the blood vessels has great effect on the ETC of biological tissue.
参考文献
[1] | S.L. Qi;P. Zhang;R.Z. Wang .Development and performance test of a cryoprobe with heat transfer enhancement configuration[J].Cryogenics,2006(12):881-887. |
[2] | Deng, ZS;Liu, J .Numerical study of the effects of large blood vessels on three-dimensional tissue temperature profiles during cryosurgery[J].Numerical Heat Transfer. Part A, Application,2006(1):47-67. |
[3] | 闫井夫,刘静.脑肿瘤的冷热治疗及其热学问题分析[J].北京生物医学工程,2006(03):325-329. |
[4] | Zhong-Shan Deng;Jing Liu;Hong-Wu Wang .Disclosure of the significant thermal effects of large blood vessels during cryosurgery through infrared temperature mapping[J].International Journal of Thermal Sciences,2008(5):530-545. |
[5] | Xu Yi;Hua Tse-Chao;Sun Da-Wen et al.Efiects of Freezing Rates and Dimethyl Sulfoxide Concentrations on Thermal Expansion of Rabbit Aorta During Freezing Phase Change as Measured by Thermo Mechanical Anal-ysis[J].Journal of Biomechanics,2007,40:3201-3206. |
[6] | Gabrys E;Rybaczuk M;Kedzia A .Blood flow simulation through fractal models of circulatory system[J].Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science,2006(1):1-7. |
[7] | Gabrys E;Rybaczuk M;Kedzia A .Fractal models of circulatory system. Symmetrical and asymmetrical approach comparison[J].Chaos, Solitons and Fractals: Applications in Science and Engineering: An Interdisciplinary Journal of Nonlinear Science,2005(3):707-715. |
[8] | 孙霞;吴自勤;黄胺.分形原理及其应用[M].合肥:中国科学技术大学出版社,2003:41-42. |
[9] | 胡瑞安;胡纪阳;徐树公.分形的计算机图像及其应用[M].北京:中国铁道出版社,1995:249-250. |
[10] | Vico PG.;Heymans O.;Louryan S.;Cartilier L.;Kyriacos S. .Dynamic study of the extraembryonic vascular network of the chick embryo by fractal analysis[J].Journal of Theoretical Biology,1998(4):525-532. |
[11] | Zamir M .Fractal dimensions and multifractility in vascular branching.[J].Journal of Theoretical Biology,2001(2):183-190. |
[12] | Peng Xu;Boming Yu;Meijuan Yun;Mingqing Zou .Heat conduction in fractal tree-like branched networks[J].International Journal of Heat and Mass Transfer,2006(19/20):3746-3751. |
[13] | 林瑞泰.多孔介质传热传质引论[M].北京:科学出版社,1995:122-128. |
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