脑内各向异性扩散传质与吸附反应过程数值分析

发布时间：2018-04-20 21:17

本文选题：脑组织 + 传质　；参考：《应用数学和力学》2017年10期

【摘要】：对脑组织内传质过程的机理及其影响因素进行了分析,建立了综合考虑脑内物质各向异性扩散、吸附和反应过程的数学模型,模型方程采用隐式控制容积法进行数值求解.计算结果表明:组织迂曲度越大,物质的扩散越慢,当某一方向迂曲度较小时,物质浓度明显增大,物质扩散变快,由于脑组织的非均质性,脑内物质的扩散传递存在着竞争现象;吸附与反应作用会抑制脑内物质传递,吸附速率越大,抑制现象越明显,对于脑内非线性的米氏反应过程,当反应速率常数增大时,稳定浓度会显著减小,同时米氏常数的增大则会使得稳定浓度值增大.相较于吸附过程,米氏过程的抑制性作用更为明显.
[Abstract]:The mechanism of mass transfer in brain tissue and its influencing factors are analyzed. A mathematical model considering the anisotropic diffusion, adsorption and reaction of brain material is established. The model equation is solved numerically by implicit control volume method. The results show that the greater the degree of tissue detour, the slower the diffusion of matter. When the degree of roundabout in one direction is small, the concentration of substance increases obviously, and the diffusion of matter becomes faster, because of the heterogeneity of brain tissue, There is competition in diffusion and transfer of substances in brain, adsorption and reaction will inhibit the transfer of substance in brain, the larger the adsorption rate, the more obvious the inhibition is. For the nonlinear reaction process in brain, when the reaction rate constant increases, The stable concentration will decrease significantly, and the increase of the Michlet constant will increase the stable concentration. The inhibitory effect of the Michlet process is more obvious than that of the adsorption process.
【作者单位】：武汉工程大学理学院;武汉光电国家实验室(筹)(华中科技大学)Britton
【基金】：国家自然科学基金重大科研仪器设备研制专项(81327802)~~
【分类号】：O241;R318

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