Abstract The flux limited Keller–Segel (FLKS) system is a macroscopic model describing
bacteria motion by chemotaxis which takes into account saturation of the velocity. The …

Collective motion of chemotactic bacteria such as Escherichia coli relies, at the individual
level, on a continuous reorientation by runs and tumbles. It has been established that the …

Kinetic-transport equations are, by now, standard models to describe the dynamics of
populations of bacteria moving by run-and-tumble. Experimental observations show that …

摘要土壤是地球生态系统中最具生命活性的组成部分, 特有的孔隙结构承载着生物圈中最丰富
多样的微生物生命形态, 为动植物提供了大量的调控功能. 土壤是一个不断演变和发展的生态 …

Recent experiments showed that engineered Escherichia coli colonies grow and self-
organize into periodic stripes with high and low cell densities in semi-solid agar. The stripes …

Kinetic-transport equations that take into account the intracellular pathways are now
considered as the correct description of bacterial chemotaxis by run and tumble. Recent …

Chemotaxis is the physical phenomenon that bacteria adjust their motions according to
chemical stimulus. A classical model for this phenomenon is a kinetic equation that …

Self-generated gradients have attracted a lot of attention in the recent biological literature. It
is considered as a robust strategy for a group of cells to find its way during a long journey …

The run and tumble process is well established in order to describe the movement of
bacteria in response to a chemical stimulus. However, the relation between the tumbling rate …

We prove that linear and weakly nonlinear run and tumble equations converge to a unique
steady state solution with an exponential rate in a weighted total variation distance. In the …