|Modeling of diffusion transport through oral biofilms with the inverse problem method.|
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|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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|Type: Journal Article; Research Support, Non-U.S. Gov't|
|Title: International journal of oral science Volume: 2 ISSN: 1674-2818 ISO Abbreviation: Int J Oral Sci Publication Date: 2010 Dec|
|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|
|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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growth & development
Biofilms* / growth & development
Dental Plaque / microbiology*
Dextrans / pharmacokinetics
Fluorescent Dyes / pharmacokinetics
Fusobacterium nucleatum / growth & development
Macromolecular Substances / pharmacokinetics
Molecular Probe Techniques
Streptococcus mutans / growth & development
Streptococcus sanguis / growth & development
|0/Fluorescent Dyes; 0/Macromolecular Substances; 9004-54-0/Dextrans|
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
Journal ID (nlm-ta): Int J Oral Sci
Journal ID (iso-abbrev): Int J Oral Sci
Publisher: Nature Publishing Group
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
Publisher Item Identifier: ijos201025
|Modeling of Diffusion Transport through Oral Biofilms with the Inverse Problem Method|
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: email@example.com
*Department of Mathematics, Shanghai Jiao Tong University, No 800 Dongchuan Road, Shanghai 200240, China Fax: 86 21 54743152 E-mail: firstname.lastname@example.org
†These authors contributed equally to this work.
Keywords: oral biofilm, diffusion model, boundary condition, inverse problem method.
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