采用反问题方法对口腔生物膜内扩散输运的建模。
Modeling of diffusion transport through oral biofilms with the inverse problem method.
机构信息
Department of Endodontics, Ninth People's Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatology, Shanghai, China.
出版信息
Int J Oral Sci. 2010 Dec;2(4):190-7. doi: 10.4248/IJOS10075.
AIM
The purpose of this study was to develop a mathematical model to quantitatively describe the passive transport of macromolecules within dental biofilms.
METHODOLOGY
Fluorescently labeled dextrans with different molecular mass (3 kD, 10 kD, 40 kD, 70 kD, 2000 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. Furthermore, an improved model for large molecule is proposed by considering the exchange time at the upper boundary of the dental biofilm.
目的
本研究旨在建立一个数学模型，定量描述口腔生物膜内大分子的被动转运。
方法
使用不同分子量（3kD、10kD、40kD、70kD、2000kD）的荧光标记葡聚糖作为一系列扩散探针。变形链球菌、血链球菌、内氏放线菌和核梭杆菌被用作生物膜形成的接种物。利用共聚焦激光显微镜记录不同探针在体外生物膜中的扩散过程。
结果
基于反问题方法构建了生物膜穿透的数学函数。基于该函数，不仅可以分析平均稳态浓度与分子量之间的关系，还可以分析穿透时间与分子量之间的关系。
结论
这可用于预测可扩散通过口腔生物膜的抗生物膜药物的有效浓度和穿透时间。此外，通过考虑牙生物膜上边界的交换时间，提出了一种改进的大分子模型。
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