低温冷冻下颅脑热-力耦合分析

陶泽; 苏丽君; 刘少宝

doi:10.21656/1000-0887.450118

低温冷冻下颅脑热-力耦合分析

doi: 10.21656/1000-0887.450118

陶泽^{1, 2,},
苏丽君^{1, 2, ,},
刘少宝^{1, 2, ,}

1.
南京航空航天大学航空航天结构力学及控制全国重点实验室，南京 210016
2.
南京航空航天大学多功能轻量化材料与结构工信部重点实验室，南京 210016

(我刊编委刘少宝来稿)

基金项目:

国家自然科学基金 12032010

国家自然科学基金 11902155

详细信息

作者简介:
陶泽(1997—)，男，博士(E-mail: ztao@nuaa.edu.cn)

通讯作者:
苏丽君(1994—)，女，博士(通讯作者. E-mail: ljsu@nuaa.edu.cn)

刘少宝(1988—)，男，副研究员，博士，硕士生导师(通讯作者. E-mail: sbliu@nuaa.edu.cn)

中图分类号: O343
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- 文章访问数: 172
- HTML全文浏览量: 68
- PDF下载量: 33
- 被引次数: 0
出版历程
- 收稿日期: 2024-04-25
- 修回日期: 2024-05-15
- 刊出日期: 2024-06-01

Thermo-Mechanical Analysis of Brain Tissue During Freezing

TAO Ze^{1, 2
,},
SU Lijun^{1, 2
, ,},
LIU Shaobao^{1, 2
, ,}

1.
State Key Laboratory of Mechanics and Control for Aerospace Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China
2.
MIIT Key Laboratory of Multifunctional Lightweight Materials and Structures, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, P.R.China

(Contributed by LIU Shaobao, M.AMM Editorial Board)

摘要

摘要:
虽然大脑是人体最重要的器官，但其在低温冷冻过程中的热-力耦合机理仍不明晰. 该文考虑颅脑特殊形状、多孔弹性、脑脊液流动、颅骨约束以及冻胀效应，建立脑组织低温冷冻热-力耦合模型，通过分析冷冻过程中的温度场、相场和脑脊液冻胀产生的压力场，发现在凝固过程中脑脊液温度保持不变，而脑组织内部最大温差可达20 K. 固-液相界面厚度约0.3 mm，推进速度约0.09 mm/s. 冻胀产生的脑组织最大位移(~0.12 mm)发生在靠近头盖骨处. 固液界面处压力梯度高达500 MPa/mm，而固体和脑脊液内部压力几乎不变. 本研究可为人类大脑的低温冷冻保存策略及脑防护提供理论支撑.
- 大脑 /
- 脑脊液 /
- 多孔弹性 /
- 冻胀压力
Abstract:
Although the brain is the most important organ in the human body, its thermo-mechanical coupling mechanism during cryogenic freezing remains unclear. A thermo-mechanical model for the cryogenic freezing of brain tissue was established, considering the special shape of the skull and brain, the cerebrospinal fluid, the cranial constraints, and the frost-heave effects. Analyses of the temperature field, the phase field, and the pressure field caused by the frost heave of the cerebrospinal fluid during freezing show that, the temperature of the cerebrospinal fluid remains unchanged during coagulation, while the maximum temperature difference within the brain tissue could reach 20 K. The solid-liquid phase interface is about 0.3 mm thick, and the driving velocity is about 0.09 mm/s. The maximum displacement of the brain tissue due to freezing is about 0.12 mm near the skull, and the pressure gradient at the solid-liquid interface is as high as 500 MPa/mm, while the pressure inside the solid and the CSF keeps almost unchanged. This study provides a theoretical support for the human brain cryopreservation strategy and the brain protection.
- brain tissue /
- cerebrospinal fluid /
- poro-elasticity /
- frost heaving pressure
edited-by

edited-by
注释:

1) (我刊编委刘少宝来稿)

HTML全文

图 1 颅脑简化模型

注为了解释图中的颜色，读者可以参考本文的电子网页版本，后同.

Figure 1. Idealized modeling of the human brain

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图 2 脑组织低温冷冻过程中的温度分布

Figure 2. Temperature distributions in the brain tissue during freezing

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图 3 脑组织低温冷冻过程中的相场

Figure 3. The phase field in the brain tissue during freezing

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图 4 脑组织冷冻中的位移场

Figure 4. The displacement field in the brain tissue during freezing

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图 5 脑组织低温冷冻过程中的压力分布

Figure 5. The pressure distribution in the brain tissue during freezing

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表 1 脑组织物理参数取值

Table 1. Values of brain physical parameters

physical parameter	value range	reference value
size r_i，r_o		5 cm
thermal conductivity of matrix λ_m	grey matter 0.57 W/(m·K)^[22] white matter 0.50 W/(m·K)^[22] brain tissue 0.66 W/(m·K)^[23]	0.53 W/(m·K)
thermal conductivity of water λ_w	cerebrospinal fluid 0.62 W/(m·K)^[22] plasma 0.63 W/(m·K)^[22] blood 0.63 W/(m·K)^[23] water 0.59 W/(m·K)^[24]	0.60 W/(m·K)
thermal conductivity of ice λ_i	ice 2.1 W/(m·K)^[25]	2.1 W/(m·K)
specific heat capacity of matrix c_m	grey matter 3.7 kJ/(kg·K)^[22] white matter 3.6 kJ/(kg·K)^[22]	3.7 kJ/(kg·K)
specific heat capacity of water c_w	cerebrospinal fluid 4.2 kJ/(kg·K)^[22] blood 3.6 W/(m³·K)^[23] water 4.2 kJ/(kg·K)^[26]	4.2 kJ/(kg·K)
specific heat capacity of ice c_i	ice 2.1 kJ/(kg·K)^[25]	2.1 kJ/(kg·K)
density of matrix ρ_m	grey matter 1 038 g/cm³^[22] white matter 1 039 g/cm³^[22]	1.038 g/cm³
density of water ρ_w	cerebrospinal fluid 1 007 kg/m³^[22] blood 1 050 kg/m³^[23]	1 007 kg/m³
density of ice ρ_i	ice 917 kg/m³^[27]	900 kg/cm³
Young’s modulus of brain E_m	338.15 Pa^[28]	338.15 Pa
Young’s modulus of ice E_i	8 GPa^[29]	8 GPa
bulk modulus of water K_w	2 GPa	2 GPa
Poisson’s ratio of brain μ_m	0.3^[28]	0.3
phase transition temperature of water T_f	273 K^[30]	273 K
latent heat of phase change L	334 kJ/kg^[31]	334 kJ/kg
environment temperature T_e	253 K^[32]	253 K
initial temperature T_i		293 K
saturation capacity θ_s	0.75~0.95^[6]	0.9

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