Analysis of chemotactic bacterial distributions in population migration assays using a mathematical model applicable to steep or shallow attractant gradients

摘要: The mathematical model developed by Riveroet al. (1989,Chem. Engng Sci. 44, 2881–2897) is applied to literature data measuring chemotactic bacterial population distributions in response steep as well shallow attractant gradients. This based on a fundamental picture of the sensing and mechanisms individual cells, thus relates cell properties such swimming speed tumbling frequency parameters random motility coefficient sensitivity coefficient. Numerical solution equations generates predicted density concentration profiles for any given experimental assay. We have previously validated from work involving step-change gradient (Fordet al., 1991Biotechnol. Bioengng.37, 647–660; For Lauffenburger, 1991,Biotechnol. Bioengng,37, 661–672). Within context this assay, effects diffusion consumption, motility, shape are explored enhance our understanding complex phenomenon. various other types gradients with successful intepretation reported Dalquistet (1972,Nature New Biol. 236, 120–123) forSalmonella typhimurum validating supportin involvement high low affinity receptors serine chemotaxis these cells.