Centre de Biophysique Moleculaire CBM-CNRS UPR 4301 du CNRS, Rue Charles Sadron, F-45071 Orleans Cedex 2, France.
Phys Biol. 2013 Aug;10(4):045009. doi: 10.1088/1478-3975/10/4/045009. Epub 2013 Aug 2.
This paper reports on some results concerning the binding of diffusing ligands in a spherical 3D region randomly filled by free receptors. It is shown that commonly accepted mean-field theory which is successfully used for bulk diffusion-controlled reactions cannot describe the behavior of ligand concentration in the diffusion layer close to the region boundary. To eliminate this drawback of the theory, we introduce a new complementary diffusion equation in the boundary layer with an appropriate matching condition. Using this equation, we find the characteristic ligand penetration length and total time-dependent flux of ligand binding to free receptors randomly distributed in a spherical region.
本文报告了一些关于在随机填充自由受体的三维球形区域中扩散配体结合的结果。研究表明,通常被成功应用于体相扩散控制反应的平均场理论不能描述靠近区域边界的扩散层中配体浓度的行为。为了消除该理论的这一缺陷,我们在边界层中引入了一个新的补充扩散方程,并给出了一个适当的匹配条件。利用该方程,我们找到了特征配体渗透长度和在球形区域中随机分布的自由受体上的配体结合的总时变通量。