Walking, hopping and jumping: a model of transcription factor dynamics on DNA

We present a model of how transcription factors scan DNA to find their specific binding sites. Following the classical work of Winter et al. (1981), our model assumes two modes of transcription factor dynamics. Adjacent moves, where the proteins make a single step movement to one side, or short walks where the transcription factors slide along the DNA several binding sites at a time. The purpose of this article is twofold. Firstly, we discuss how such a system can be efficiently modeled computationally. Secondly, we analyse how the mean first binding times of transcription factors to their specific time depends on key parameters of the system.