Mathematical models and simulations of bacterial growth and chemotaxis in a diffusion gradient chamber.

@article{Chiu2001MathematicalMA,
  title={Mathematical models and simulations of bacterial growth and chemotaxis in a diffusion gradient chamber.},
  author={Chichia Chiu and Frank C. Hoppensteadt},
  journal={Journal of mathematical biology},
  year={2001},
  volume={42 2},
  pages={120-44}
}
The diffusion gradient chamber (DGC) is a novel device developed to study the response of chemotactic bacteria to combinations of nutrients and attractants [7]. Its purpose is to characterize genetic variants that occur in many biological experiments. In this paper, a mathematical model which describes the spatial distribution of a bacterial population within the DGC is developed. Mathematical analysis of the model concerning positivity and boundedness of the solutions are given. An ADI… CONTINUE READING

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