INTRACEREBRAL MICRODIALYSIS .2. MATHEMATICAL STUDIES OF DIFFUSION KINETICS
INTRACEREBRAL MICRODIALYSIS .2. MATHEMATICAL STUDIES OF DIFFUSION KINETICS
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DOI：
10.1016/0160-5402(89)90012-0
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发表时间：
1989-11-01
期刊：
影响因子：
--
通讯作者：
LINDEFORS, N
中科院分区：
文献类型：
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作者：
AMBERG, G;LINDEFORS, N
对脑内微透析动力学进行了数学研究。在微透析技术中，将可渗透扩散的管状膜植入大脑并灌注人工脑脊液。分子扩散导致大脑中的物质进入流动的灌注液。灌注液在脑外收集，并测定各种物质的含量。提出了扩散通过多孔脑组织进入流动的灌注液的数学问题。推导出脑内和灌注液中浓度分布的解。发现限制转运的因素是通过脑的扩散而不是通过膜的扩散。得到了采收率的理论表达式。该比值可用于从收集的灌注液浓度推断脑内细胞外浓度。
The kinetics of intracerebral microdialysis are studied mathematically. In the microdialysis technique, a tubular membrane that is permeable to diffusion is implanted in the brain and perfused with an artificial cerebrospinal fluid. Molecular diffusion causes substances in the brain to enter the flowing perfusate. The perfusate is collected outside the brain and the content of various substances is determined. The mathematical problem of diffusion through the porous brain tissue into the flowing perfusate is formulated. Solutions for the concentration distributions in the brain and in the perfusate are derived. It is found that the factor limiting the transport is the diffusion through the brain and not through the membrane. A theoretical expression for the recovery ratio is also obtained. This ratio may be used to infer the extracellular concentration in the brain from the concentration in the collected perfusate.