本文選題：腦組織 + 傳質(zhì)�。� 參考：《應用數(shù)學和力學》2017年10期

【摘要】：對腦組織內(nèi)傳質(zhì)過程的機理及其影響因素進行了分析,建立了綜合考慮腦內(nèi)物質(zhì)各向異性擴散、吸附和反應過程的數(shù)學模型,模型方程采用隱式控制容積法進行數(shù)值求解.計算結(jié)果表明:組織迂曲度越大,物質(zhì)的擴散越慢,當某一方向迂曲度較小時,物質(zhì)濃度明顯增大,物質(zhì)擴散變快,由于腦組織的非均質(zhì)性,腦內(nèi)物質(zhì)的擴散傳遞存在著競爭現(xiàn)象;吸附與反應作用會抑制腦內(nèi)物質(zhì)傳遞,吸附速率越大,抑制現(xiàn)象越明顯,對于腦內(nèi)非線性的米氏反應過程,當反應速率常數(shù)增大時,穩(wěn)定濃度會顯著減小,同時米氏常數(shù)的增大則會使得穩(wěn)定濃度值增大.相較于吸附過程,米氏過程的抑制性作用更為明顯.
[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.
【作者單位】： 武漢工程大學理學院;武漢光電國家實驗室(籌)(華中科技大學)Britton
【基金】：國家自然科學基金重大科研儀器設備研制專項(81327802)~~
【分類號】：O241;R318

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