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Modeling of diffusion transport through oral biofilms with the inverse problem method.
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MedLine Citation:
PMID:  21404968     Owner:  NLM     Status:  MEDLINE    
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.
Rui Ma; Jie Liu; Yun-tao Jiang; Zheng Liu; Zi-sheng Tang; Dong-xia Ye; Jin Zeng; Zheng-wei Huang
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't    
Journal Detail:
Title:  International journal of oral science     Volume:  2     ISSN:  1674-2818     ISO Abbreviation:  Int J Oral Sci     Publication Date:  2010 Dec 
Date Detail:
Created Date:  2011-03-16     Completed Date:  2011-04-04     Revised Date:  2012-11-16    
Medline Journal Info:
Nlm Unique ID:  101504351     Medline TA:  Int J Oral Sci     Country:  China    
Other Details:
Languages:  eng     Pagination:  190-7     Citation Subset:  D; IM    
Department of Endodontics, Ninth People's Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatology, Shanghai, China.
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MeSH Terms
Actinomyces / growth & development
Biofilms* / growth & development
Biological Transport*
Dental Plaque / microbiology*
Dextrans / pharmacokinetics
Fluorescent Dyes / pharmacokinetics
Fusobacterium nucleatum / growth & development
Macromolecular Substances / pharmacokinetics
Microscopy, Confocal
Models, Biological*
Molecular Probe Techniques
Streptococcus mutans / growth & development
Streptococcus sanguis / growth & development
Reg. No./Substance:
0/Fluorescent Dyes; 0/Macromolecular Substances; 9004-54-0/Dextrans

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

Full Text
Journal Information
Journal ID (nlm-ta): Int J Oral Sci
Journal ID (iso-abbrev): Int J Oral Sci
ISSN: 1674-2818
ISSN: 2049-3169
Publisher: Nature Publishing Group
Article Information
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Copyright © 2010 West China School of Stomatology
Received Day: 31 Month: 07 Year: 2010
Revision Received Day: 18 Month: 11 Year: 2010
Accepted Day: 18 Month: 11 Year: 2010
Print publication date: Month: 12 Year: 2010
pmc-release publication date: Day: 1 Month: 12 Year: 2010
Volume: 2 Issue: 4
First Page: 190 Last Page: 197
PubMed Id: 21404968
ID: 3499001
Publisher Item Identifier: ijos201025
DOI: 10.4248/IJOS10075

Modeling of Diffusion Transport through Oral Biofilms with the Inverse Problem Method
Rui Ma1
Jie Liu2
Yun-tao Jiang1
Zheng Liu1
Zi-sheng Tang1
Dong-xia Ye1
Jin Zeng2*
Zheng-wei Huang1*
1Department of Endodontics, Ninth People's Hospital, Shanghai Jiao Tong University School of Medicine, Shanghai Key Laboratory of Stomatology, Shanghai, China
2Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China
*Department of Endodontics, Ninth People's Hospital, Shanghai Jiao Tong University School of Medicine, No 639 Zhizaoju Road, Shanghai 200011, China Fax: 86 21 63135412 E-mail:
*Department of Mathematics, Shanghai Jiao Tong University, No 800 Dongchuan Road, Shanghai 200240, China Fax: 86 21 54743152 E-mail:
These authors contributed equally to this work.

Article Categories:
  • Original Scientific Article

Keywords: oral biofilm, diffusion model, boundary condition, inverse problem method.

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