A dynamic model for receptor-mediated specific adhesion of bacteria under uniform shear flow

dc.contributor.authorWang, Grace Tein-Ya
dc.contributor.authorBryers, James D.
dc.date.accessioned2018-02-02T16:12:40Z
dc.date.available2018-02-02T16:12:40Z
dc.date.issued1997-09
dc.description.abstractA dynamic mathematical model is proposed to describe bacterial cell adhesion in viscous shear flow that is mediated by specific receptor: ligand binding. Bacterial cells are assumed here to be ideal spheres covered uniformly with spring‐like receptors. The model describes the specific binding between receptor molecules on the cell and ligands associated with the target surface. Accounting for the processes of attachment, detachment, and growth of attached bacteria, a set of non‐linear ordinary differential equations (ODEs) is derived that governs the net accumulation of cell numbers per surface area (S) of ligand‐coated surface, cell numbers (X) and growth‐limiting substrate concentration (S) per volume of solution passing over the target substratum. The non‐linear ODEs are numerically solved by using the fourth‐order Runge‐Kutta algorithm. Results of numerical simulations reveal that various stages of bacterial attachment are pertinent at different stages of biofilm development. The recommendation of a proper time duration for experimental adhesion research is possible, based on model solutions. A sensitivity analysis is carried out and the results indicate that bacterial deposition is dominated by the attachment and detachment rate constants rather than by ligand density or shear rate. Specific adhesion of a defined mixed culture is also simulated with an expanded version of the basic model.en_US
dc.identifier.citationWang, G. T.-Y. And J.D. Bryers, “A Dynamic Model for Receptor-Mediated Specific Adhesion of Bacteria Under Uniform Shear Flow,” Biofouling, 11(3):227-252 (1997).en_US
dc.identifier.issn0892-7014
dc.identifier.urihttps://scholarworks.montana.edu/handle/1/14305
dc.titleA dynamic model for receptor-mediated specific adhesion of bacteria under uniform shear flowen_US
dc.typeArticleen_US
mus.citation.extentfirstpage227en_US
mus.citation.extentlastpage252en_US
mus.citation.issue3en_US
mus.citation.journaltitleBiofoulingen_US
mus.citation.volume11en_US
mus.data.thumbpage18en_US
mus.identifier.categoryEngineering & Computer Scienceen_US
mus.identifier.doi10.1080/08927019709378333en_US
mus.relation.collegeCollege of Engineeringen_US
mus.relation.departmentCenter for Biofilm Engineering.en_US
mus.relation.departmentChemical & Biological Engineering.en_US
mus.relation.departmentChemical Engineering.en_US
mus.relation.researchgroupCenter for Biofilm Engineering.en_US
mus.relation.universityMontana State University - Bozemanen_US

Files

Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
97-025_A_dynamic_model_.pdf
Size:
1.18 MB
Format:
Adobe Portable Document Format
Description:
A dynamic model for receptor-mediated specific adhesion of bacteria under uniform shear flow (PDF)
License bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
license.txt
Size:
826 B
Format:
Item-specific license agreed upon to submission
Description:
Copyright (c) 2002-2022, LYRASIS. All rights reserved.