The fractional diffusion limit of a kinetic model with biochemical pathway

@article{Perthame2017TheFD,
  title={The fractional diffusion limit of a kinetic model with biochemical pathway},
  author={B. Perthame and W. Sun and M. Tang},
  journal={Zeitschrift f{\"u}r angewandte Mathematik und Physik},
  year={2017},
  volume={69},
  pages={1-15}
}
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 mathematical studies have shown their interest and their relations to more standard models. Macroscopic equations of Keller–Segel type have been derived using parabolic scaling. Due to the randomness of receptor methylation or intracellular chemical reactions, noise occurs in the signaling pathways and affects the tumbling… Expand
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Kinetic models for chemotaxis: Hydrodynamic limits and spatio-temporal mechanisms
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