Matteo Paoluzzi - IPCF-CNR # Run-and-Tumble dynamics # Run-and-tumble is a simple but powerful model that captures many properties of motile bacteria. This model is based on the schematization of single bacterium dynamics as a sequence of linear runs interrupted by random ---Poissonian distributed--- tumbling events. The resulting movement is a random walk with a persistence length that marks the crossover between a ballistic regime at short scales and a Brownian, diffusive regime at longer scales.The free particle dynamics is parametrized by the swimming velocity, the tumbling rate and the duration of a tumble event. I will discuss theoretically, i. e., studying the first-passage times problem in one dimension (L. Angelani, R. Di Leonardo, and MP, in preparation), and by means of numerical simulations, i. e., embedding the active system into a random energy landscape provided by speckle patterns (MP, R. Di Leonardo, and L. Angelani, in press), some properties of RT dynamics.