Random motility coefficient

In the second case, single population growth of a chemotactic species, B additionally depends upon 6, the ratio of the chemotaxis coefficient to the random motility coefficient (see Figure 9). B increases as 6 increases, because chemotaxis counteracts the random dispersal of cells away from the nutrient-rich zone (see Figure 10 ) The effect of chemotaxis becomes significant only when 6 becomes greater than about 10 1. These computations were done using a perturbation method, so that results for 6> 1 are merely extrapolations. Numerical computations have shown the perturbation results to be accurate up to at least 6 =... 

This assay is a variation of the cellulose filter assay that uses multiple arrangements of chemoattractant above and below the filter to distinguish chemokinesis and chemotaxis. In addition, the depth to which the cells penetrate the filter is determined. These features allow calculation of population parameters x, the random motility coefficient and X, a chemotaxis coefficient. 

Equation 35.3 implies random wall behavior and allows us to compute the random motility coefficient/j. as follows ... 

Figure 3. Clearance of Bacterial Attack by Macrophage on the Lung Surface. Success (represented by the time required for clearance, the ordinate) depends critically on the coefficient of chemotactic motility (abscissa). Initial macrophage and bacterial densisities = 103 cm-2 random motility coeff. =...

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