Bacterial chemotaxis in a two-dimensional attractant gradient

The motion of a population of chemotactic bacteria in a radial exponential gradient of attractant in a cylindrical container has been calculated using a mathematical model suggested by Keller and Segel. Numerical solutions for the equations of bacterial migration have been found which give for all times the cell density at distances from the center of the cylinder. The ultimate distribution of bacteria is a simple stationary exponential function of the distance. Experiments to verify the theoretical predictions are suggested.