6 citations · 14 across the 6 of their papers we have counts for
6 papers
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…
A pathway-based mean-field model for E. coli chemotaxis: Mathematical derivation and Keller-Segel limit
Guangwei Si, Min Tang, Xu Yang
A pathway-based mean-field theory (PBMFT) was recently proposed for E. coli chemotaxis in [G. Si, T. Wu, Q. Quyang and Y. Tu, Phys. Rev. Lett., 109 (2012), 048101]. In this paper,…
Can a traveling wave connect two unstable states? The case of the nonlocal Fisher equation
Gregoire Nadin, Benoit Perthame, Min Tang
This note investigates the properties of the traveling waves solutions of the nonlocal Fisher equation. The existence of such solutions has been proved recently in \cite{BNPR} but…