PubMed · 7854411
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E Ben-Jacob, I Cohen, O Shochet, I Aranson, H Levine, L Tsimring. 1995-02-16. Complex bacterial patterns.. https://doi.org/10.1038/373566a0
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The proposed model assumes that the criteria leading to the lethal breakdown of microorganisms suspended in a continuous medium depend on two parameters: (a) the applied electric field must exceed the critical field of membrane to create holes and (b) the Joule energy (deposited in the membrane) must exceed the minimum value beyond which the cell can not recover. The first parameter initiates (reversible) breakdown and the second one, the completion of the (irreversible) electrical breakdown leading to death of the cell. The number of cells surviving the electric field treatment is related to statistical distribution of cell size. Comparison between theory and the experimental results of Kinosita and Tsong (1977); Hülsheger et al. (1980, 1981, 1983); Rosemberg and Korenstein (1990) and others is given.
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In this paper, we introduce a mathematical and computational model at the microscale level of bacterial motility and chemotaxis coupled with the advection and diffusion of a biologically reacting substrate. The hydrodynamic interaction of a small bacterial population is explicitly modelled through the use of discrete representations of individual microbes. We use the immersed boundary method to couple microbial motion and the advection-diffusion of substrate with the full incompressible Navier-Stokes equations. Simulations using a preliminary two-dimensional model are presented, demonstrating the mutual dependence through the fluid media of several swimming bacteria. A run and tumble mechanism is introduced for simulating the chemotaxis of swimming bacteria.