中文摘要：

这研究的目的是开发一个数学模型到份量上的目的在牙齿的 biofilms 以内描述 macromoleeules 的被动运输。荧光灯地与不同分子的质量标记葡聚糖的方法论(3 kD， 10 kD， 40 kD， 70 kD， 2 000 kD ) 被用作一系列散开探针。链球菌 mutans，链球菌 sanguinis，放线菌 naeslundii 和梭菌属 nucleatum 为 biofilm 形成被用作 inocula。不同探针通过的散开过程在里面 vitro biofilm 与共焦的激光 microscope.Results 被记录 biofilm 穿入的数学功能根据反的问题方法被构造。基于在平均集中之间的这功能，不是仅仅关系不变并且分子重量能被分析，而且那在穿透的时间和分子重量之间。这能被用来预言有效集中和能通过口头的 biofilm 扩散的 anti-biofilm 药的穿透的时间的结论。而且，为大分子的一个改进模型被在牙齿的 biofilm 的上面的边界考虑交换时间建议。

英文摘要：

Aim The purpose of this study was to develop a mathe-matical model to quantitatively describe the passive trans-port of macromolecules within dental biofilms. Methodology Fluorescently labeled dextrans with different molecular mass （3 kD,10 kD,40 kD,70 kD,2 000 kD） were used as a series of diffusion probes. Streptococcus mutans,Streptococcus sanguinis,Actinomyces naeslundii and Fusobacterium nucleatum were used as inocula for biofilm formation. The diffusion processes of different probes through the in vitro biofilm were recorded with a confocal laser microscope. Results Mathematical function of biofilm penetration was constructed on the basis of the inverse problem method. Based on this function,not only the relationship between average concentration of steady-state and molecule weights can be analyzed,but also that between penetrative time and molecule weights. Conclusion This can be used to predict the effective concentration and the penetrative time of anti-biofilm medicines that can diffuse through oral biofilm. Further-more,an improved model for large molecule is proposed by considering the exchange time at the upper boundary of the dental biofilm.