Model of Chemotaxis in a Combined Environment
DOI:
https://doi.org/10.15407/ujpe70.12.852Keywords:
chemotaxis model, bacterium, attractant, repellent, concentration, distributionAbstract
We propose a model that describes the process of bacterial chemotaxis in a combined environment containing both an attractant and a repellent. The model is based on a system of differential equations that considers the effects of interaction of bacteria with both the attractant and the repellent. Within this approach framework, the chemotaxis effect turns out to be proportional to the concentration gradient of the corresponding substance (attractant or repellent). The model also revolves the saturation effect, when an increase in the concentration of the attractant or repellent reduces the bacterial response to the presence of a gradient in the concentration distribution of those substances. The chemotaxis sensitivity function has been used to analyze the heterogeneity of bacteria in the system. Its values are calculated at the system boundaries and, if there is an extremum in the bacterial distribution, at the extremum point. The dependence of the chemotaxis sensitivity function on the attractant and repellent concentrations has been analyzed. It is shown that this dependence is significantly nonlinear and differs qualitatively from similar dependences obtained earlier for systems containing only the attractant or the repellent.
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