Mathematical modeling of adhesion of bacteria to host cell lines |
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Authors: | Jesus Gálvez Francisco Lajarin Pilar García-Peñarrubia |
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Institution: | (1) Laboratory of Physical Chemistry, Faculty of Science, 30071 Espinardo, Murcia, Spain;(2) Department of Biochemistry and Molecular Biology B and Immunology, School of Medicine, 30071 Espinardo, Murcia, Spain |
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Abstract: | A mathematical model which describes adhesion of bacteria to host cell lines is presented. The model is flexible enough to
account for the following situations: extracellular bacteria are either in exponential or in stationary phase. Adhesion is
described as a reversible binding process in which the bacteria attach to or detach from specific receptors uniformly distributed
on the cell surface. In turn, attached bacteria can either replicate or, conversely, they are restrained to remain in stationary
phase. In the first case, however, we must consider the problem of whether the decrease of unoccupied receptors as adhesion
progresses imposes a limit to the replicating capacity of the attached bacteria. The effect exerted by the multiplicity of
infection (MOI), i.e. the ratio of the number of bacteria to the number of host cells, on the process of adhesion is also
contemplated by the model. This has revealed that experiments performed at the same values of MOI can show completely different
levels of adhered bacteria, depending on the number of host cells in the assays. This finding demonstrates that the report
of the MOI values is insufficient to characterize comparative studies of bacterial adhesion since it could lead to a misunderstanding
of the corresponding data. Simplified models based on the steady-state approximation and in equilibrium analysis by means
of a Lagmuir adsorption isotherm for the attached bacteria are also discussed. This allows us to define the adhesion coefficient
(β) in a given bacterium-cell system so that, with the exception of those systems where these coefficients cannot be defined,
larger values of β are related to a greater adhesion capacity. An overview of the procedures to perform quantitative adhesion
data analysis is outlined. Finally, theoretical predictions are compared with experimental results from the literature. |
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