Mathematical models for cell-cell communication on different scales.

Intercellular communication is a central optimization strategy for activities of, for example, root colonizing bacteria or pathogenic bacteria. In this PhD thesis we develop and analyze different models for the Quorum Sensing system, a common mechanism for cell-cell communication. First, we build up a model for a intracellular regulatory network to understand the information integration. Subsequently, we investigate the mechanism of Quorum Sensing on the population level. Therefore, on the one hand we state a model for small, homogeneously structured populations, based on a stochastic approach, and on the other hand a deterministic model for spatially structured populations is considered