6 citations · 14 across the 6 of their papers we have counts for
4 papers · 1 filter
On kinetic and macroscopic models for the stripe formation in engineered bacterial populations
Ning Jiang, Jiangyan Liang, Yi-Long Luo +2
We study the well-posedness of the biological models with AHL-dependent cell mobility on engineered Escherichia coli populations. For the kinetic model proposed by Xue-Xue-Tang rec…
Mathematical Modelling and Analysis of Fractional Diffusion Induced by Intracellular Noise
Weiran Sun, Min Tang, Xiaoru Xue
In this paper we use an individual-based model and its associated kinetic equation to study the generation of long jumps in the motion of E. coli. These models relate the run-and-t…
Towards understanding the boundary propagation speeds in tumor growth models
Jian-Guo Liu, Min Tang, Li Wang +1
At the continuous level, we consider two types of tumor growth models: the cell density model, which is based on the fluid mechanical construction, is more favorable for scientific…
Derivation of the bacterial run-and-tumble kinetic equation from a model with biochemical pathway
Benoît Perthame, Min Tang, Nicolas Vauchelet
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 bacteria…