Modeling of Diffusion Transport through Oral Biofilms with the Inverse Problem Method

• Published in: International journal of oral science Vol. 2; no. 4; pp. 190 - 197
• Main Authors: Ma, Rui, Liu, Jie, Jiang, Yun‐tao, Liu, Zheng, Tang, Zi‐sheng, Ye, Dong‐xia, Zeng, Jin, Huang, Zheng‐wei
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 01.12.2010; Springer Nature B.V; Department of Endodontics, Ninth People's Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatoiogy, Shanghai, China%Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China; Nature Publishing Group
• Subjects: Actinomyces - growth & development; Algorithms; Biofilms - growth & development; Biological Transport; Dental Plaque - microbiology; Dentistry; Dextrans - pharmacokinetics; Diffusion; Fluorescent Dyes - pharmacokinetics; Fusobacterium nucleatum - growth & development; Macromolecular Substances - pharmacokinetics; Medicine; Microscopy, Confocal; Models, Biological; Molecular Probe Techniques; Oral and Maxillofacial Surgery; Original Scientific; original-scientific-article; Orthopedics; Streptococcus mutans - growth & development; Streptococcus sanguis - growth & development; Surgical Orthopedics; 反问题; 变形链球菌; 扩散过程; 激光共聚焦显微镜; 生物膜法; boundary condition; oral biofilm; inverse problem method; diffusion model
• ISSN: 1674-2818; 2049-3169
• DOI: 10.4248/IJOS10075

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.